Tootfinder

The Game of Graph Nim on graphs with four edges
Sayar Karmakar, Moumanti Podder, Souvik Roy, Soumyarup Sadhukhan
https://arxiv.org/abs/2509.05064 https://a…

The Game of Graph Nim on graphs with four edges
This work is concerned with the study of the Game of Graph Nim -- a class of two-player combinatorial games -- on graphs with $4$ edges. To each edge of such a graph is assigned a positive-integer-valued edge-weight, and during each round of the game, the player whose turn it is to make a move selects a vertex, and removes a non-negative integer edge-weight from each of the edges incident on that vertex, such that the remaining edge-weight on each of these edges is a non-negative integer, and t…

Thermodynamic Performance Limits for Score-Based Diffusion Models
Nathan X. Kodama, Michael Hinczewski
https://arxiv.org/abs/2510.06174 https://arxiv.org/p…

Thermodynamic Performance Limits for Score-Based Diffusion Models
We establish a fundamental connection between score-based diffusion models and non-equilibrium thermodynamics by deriving performance limits based on entropy rates. Our main theoretical contribution is a lower bound on the negative log-likelihood of the data that relates model performance to entropy rates of diffusion processes. We numerically validate this bound on a synthetic dataset and investigate its tightness. By building a bridge to entropy rates - system, intrinsic, and exchange entropy…

🪏 Locking carbon in trees and soils could help 'stabilize climate for centuries'—if done correctly
https://phys.org/news/2025-10-carbon-trees-soils-stabilize-climate.html

Locking carbon in trees and soils could help 'stabilize climate for centuries'—if done correctly
A team of researchers, led by Cambridge University, has now formulated a method to assess whether carbon removal portfolios can help limit global warming over centuries. The approach also distinguishes between buying credits to offset risk versus claiming net-negative emissions.

Solving Skolem problem for negative indexed $k-$generalized Pell numbers
Monalisa Mohapatra, Pritam Kumar Bhoi, Gopal Krishna Panda
https://arxiv.org/abs/2509.04503 https://

Solving Skolem problem for negative indexed $k-$generalized Pell numbers
In this paper, we address the Skolem problem for the $k-$Generalized Pell numbers ($P_n^{(k)}$) extended to negative indices. We focus on identifying and bounding the indices $n<0$ for which $P_n^{(k)}=0.$ In particular, we establish that the zero multiplicity is $ χ_k = 1 + (k(k-2)/4),$ if $k$ is even and $1 + ((k - 1)^2/4)$, if $k$ is odd for all $k \in [4, 500].$

Prescribed $p$-curvature problem on Riemannian manifolds with negative curvature
Jiaogen Zhang
https://arxiv.org/abs/2510.06577 https://arxiv.org/pdf/2510.…

Prescribed $p$-curvature problem on Riemannian manifolds with negative curvature
Let $(N,g)$ be a compact Riemannian manifold with negative curvature of dimension $n\geq 3$. This paper investigates the prescribed curvature problem defined by the $p$-fold sum of the modified Shouten tensor for $1\leq p\leq n$. As an application, we establish the existence of a metric $\tilde{g}$ conformal to $g$ such that \[ \mathcal{M}_{p}(\mathrm{Ric}_{\tilde{g}})=constant. \] In the case $p=1$, this resolves a well-known result of Gursky and Viaclovsky [Indiana Univ. Math. J. 52 (2003), n…

On Synthesis of Timed Regular Expressions
Ziran Wang, Jie An, Naijun Zhan, Miaomiao Zhang, Zhenya Zhang
https://arxiv.org/abs/2509.06262 https://arxiv.org/…

On Synthesis of Timed Regular Expressions
Timed regular expressions serve as a formalism for specifying real-time behaviors of Cyber-Physical Systems. In this paper, we consider the synthesis of timed regular expressions, focusing on generating a timed regular expression consistent with a given set of system behaviors including positive and negative examples, i.e., accepting all positive examples and rejecting all negative examples. We first prove the decidability of the synthesis problem through an exploration of simple timed regular …

Nineteen-Eighty-Four Ministry of Truth:
Broadcasters told not to air any booing of Donald Trump at US Open men’s final
https://www.theguardian.com/sport/2025/sep/06/broadcasters-told-not-to-air-any-booing-of-dona…

Bilinear embedding for divergence-form operators with negative potentials
Andrea Poggio
https://arxiv.org/abs/2510.05714 https://arxiv.org/pdf/2510.05714…

Bilinear embedding for divergence-form operators with negative potentials
Let $Ω\subseteq \mathbb{R}^d$ be open, $A$ a complex uniformly strictly accretive $d\times d$ matrix-valued function on $Ω$ with $L^\infty$ coefficients, and $V$ a locally integrable function on $Ω$ whose negative part is subcritical. We consider the operator $\mathscr{L} = -\mathrm{div}(A\nabla) + V$ with mixed boundary conditions on $Ω$. We extend the bilinear inequality of Carbonaro and Dragičević [15], originally established for nonnegative potentials, by introducing a novel condition…

A measure on the space of CFTs and pure 3D gravity
Alexandre Belin, Alexander Maloney, Florian Seefeld
https://arxiv.org/abs/2509.04554 https://arxiv.org/p…

A measure on the space of CFTs and pure 3D gravity
We define a normalizable measure on the space of two-dimensional conformal field theories, which we interpret as a maximum ignorance ensemble. We test whether pure quantum gravity in AdS$_3$ is dual to the average over this ensemble. We find a negative answer, which implies that CFTs with a primary gap of order the central charge are highly atypical in our ensemble. We provide evidence that more generally, holographic CFTs are atypical in the space of all CFTs by finding similar results for per…

String topology coproduct and Turaev cobracket on surfaces
Jana Hartenstein, Maximilian Stegemeyer
https://arxiv.org/abs/2510.05997 https://arxiv.org/pdf/2…

String topology coproduct and Turaev cobracket on surfaces
The string topology coproduct on the homology of the free loop space of a closed manifold induces a string cobracket on $S^1$-equivariant homology. We give a complete computation of the string topology coproduct for surfaces of higher genus by describing an algorithm which computes the coproduct of a cyclic word in terms of generators of the fundamental group of the surface. We further show that the string cobracket is the negative of the Turaev cobracket.

SL-SLR: Self-Supervised Representation Learning for Sign Language Recognition
Ariel Basso Madjoukeng, J\'er\^ome Fink, Pierre Poitier, Edith Belise Kenmogne, Benoit Frenay
https://arxiv.org/abs/2509.05188

SL-SLR: Self-Supervised Representation Learning for Sign Language Recognition
Sign language recognition (SLR) is a machine learning task aiming to identify signs in videos. Due to the scarcity of annotated data, unsupervised methods like contrastive learning have become promising in this field. They learn meaningful representations by pulling positive pairs (two augmented versions of the same instance) closer and pushing negative pairs (different from the positive pairs) apart. In SLR, in a sign video, only certain parts provide information that is truly useful for its r…

Scattering of massive neutrino test fields from a gravitational pulse
Tekin Dereli, Yorgo Senikoglu
https://arxiv.org/abs/2510.04687 https://arxiv.org/pdf/…

Scattering of massive neutrino test fields from a gravitational pulse
Linearized Einstein-Weyl equations are solved precisely in the context of sandwich gravitational waves. The neutrino's energy-momentum depends on the geometry and composition of the gravitational pulse when it is scattered. Since the background remains unchanged at the test field level, the neutrino's energy density will exhibit fluctuations between positive and negative extremes when traversing the sandwich wave. These variations could provide insights into the behavior of models concerning ne…

Difference in Neoclassical Edge Flows Between Strongly Negative and Positive Triangularities in the XGC Gyrokinetic Simulation
S. Ku, C. S. Chang, R. Hager, L. W. Schmitz, A. O. Nelson
https://arxiv.org/abs/2510.05287

Difference in Neoclassical Edge Flows Between Strongly Negative and Positive Triangularities in the XGC Gyrokinetic Simulation
The neoclassical baseline study of a strongly negative triangularity (NT) plasma and the corresponding positive triangularity plasma is performed using the edge-specialized, total-f gyrokinetic code XGC. A DIII-D-like plasma is used, based on the negative triangularity discharge of DIII-D \#193793. An artificial positive triangularity (PT) equilibrium has been constructed to compare the edge rotation physics at the same triangularity strength, but with opposite sign, while keeping the same elon…

Control Protocol for Dynamic Synthesis of Qubit and Qudit Gates Using Photonic Pulses and Magnetic Fields
A. F. Urquijo Rodr\'iguez, Edgar A. G\'omez, H. Vinck-Posada
https://arxiv.org/abs/2509.04825

Control Protocol for Dynamic Synthesis of Qubit and Qudit Gates Using Photonic Pulses and Magnetic Fields
We propose a theoretical control protocol designed for the dynamic synthesis of single qubit and four-level qudit quantum gates using external parameters, such as photonic Gaussian pulses and magnetic fields, in a microcavity quantum well system. Our approach takes advantage of tunable coherent light matter interactions that can be modulated by the magnetic field between the exciton and negative trion coupled to the lowest photonic mode. We demonstrate that it is possible to achieve precise man…

The three-dimensional structure of population density in world cities
Ga\"etan Laziou, R\'emi Lemoy
https://arxiv.org/abs/2509.06140 https://arxiv…

The three-dimensional structure of population density in world cities
A good understanding of cities is crucial to implement urban planning policies leading to social and economic sustainability and an efficient use of resources. While urban concentration has been associated with both positive and negative effects, echoing debates on compact cities, few studies have documented how density evolves with city size. We fill this gap by investigating how the population density radial structure changes across the urban hierarchy. Our results uncover strong regularities…

Construction of the 1d Self-repelling Brownian Polymer
Harry Giles, Lukas Gr\"afner
https://arxiv.org/abs/2509.05286 https://arxiv.org/pdf/2509.05286

Construction of the 1d Self-repelling Brownian Polymer
We consider the self-repelling Brownian polymer, introduced in [APP83], which is formally defined as the solution of a singular SDE. The singularity comes from the drift term, which is given by the negative gradient of the local time. We construct a solution of the equation in d = 1, give a dynamic characterisation of its law, and show that it is the limiting distribution for a natural family of approximations. In addition, we show that the solution is superdiffusive. As part of the construct…

Signed network models for portfolio optimization
Bibhas Adhikari
https://arxiv.org/abs/2510.05377 https://arxiv.org/pdf/2510.05377

Signed network models for portfolio optimization
In this work, we consider weighted signed network representations of financial markets derived from raw or denoised correlation matrices, and examine how negative edges can be exploited to reduce portfolio risk. We then propose a discrete optimization scheme that reduces the asset selection problem to a desired size by building a time series of signed networks based on asset returns. To benchmark our approach, we consider two standard allocation strategies: Markowitz's mean-variance optimizatio…

Adapting HFMCA to Graph Data: Self-Supervised Learning for Generalizable fMRI Representations
Jakub Frac, Alexander Schmatz, Qiang Li, Guido Van Wingen, Shujian Yu
https://arxiv.org/abs/2510.05177

Adapting HFMCA to Graph Data: Self-Supervised Learning for Generalizable fMRI Representations
Functional magnetic resonance imaging (fMRI) analysis faces significant challenges due to limited dataset sizes and domain variability between studies. Traditional self-supervised learning methods inspired by computer vision often rely on positive and negative sample pairs, which can be problematic for neuroimaging data where defining appropriate contrasts is non-trivial. We propose adapting a recently developed Hierarchical Functional Maximal Correlation Algorithm (HFMCA) to graph-structured f…

Broadcasters told not to air any booing of Donald Trump at US Open men’s final | US Open Tennis 2025 | The Guardian
https://www.theguardian.com/sport/2025/sep/06/broadcasters-told-not-to-air-any-booing-of-donald-trump…

Wetting Interactions Between Porous Carbon Hosts and Liquid Sodium-Potassium Alloys Toward Their Use in Negative Electrodes of Alkali-Metal Batteries
Johannes Baller, Andr\'e Hilger, Naiyu Qi, Chiara Morini, Andrea Cornelio, Arndt Remhof, Markus Osenberg, Ingo Manke, Julian Moosmann, Felix Beckmann, Gustav Graeber
https://arxiv.org/abs…

Wetting Interactions Between Porous Carbon Hosts and Liquid Sodium-Potassium Alloys Toward Their Use in Negative Electrodes of Alkali-Metal Batteries
Batteries with liquid alkali-metal negative electrodes offer a route to compact, high-performance energy storage. Innovation in alkali-metal management, i.e., controlled storage, release and transport of liquid alkali metal, can enable simpler and cheaper cell designs. Porous carbons have emerged as potential host materials for liquid alkali metals. Here, we study the wetting interactions between porous carbon hosts and liquid sodium-potassium alloy (NaK) as a function of carbon host morphology…

Extreme Negative Polarisation of New Interstellar Comet 3I/ATLAS
Zuri Gray, Stefano Bagnulo, Galin Borisov, Yuna G. Kwon, Alberto Cellino, Ludmilla Kolokolova, Rosemary C. Dorsey, Grigori Fedorets, Mikael Granvik, Eric MacLennan, Olga Mu\~noz, Philippe Bendjoya, Maxime Devog\`ele, Simone Ieva, Antti Penttil\"a, Karri Muinonen
https://…

Extreme Negative Polarisation of New Interstellar Comet 3I/ATLAS
We present the first polarimetric observations of the third discovered interstellar object, 3I/ATLAS (C/2025 N1), obtained pre-perihelion with FORS2/VLT, ALFOSC/NOT, and FoReRo2/RCC, over a phase angle range of 7.7-22.4°. This marks the second ever polarimetric study of an interstellar object, the first distinguishing 2I/Borisov from most Solar System comets by its higher positive polarisation. Our polarimetric measurements as a function of phase angle reveal that 3I is characterised by an dee…

PGMEL: Policy Gradient-based Generative Adversarial Network for Multimodal Entity Linking
KM Pooja, Cheng Long, Aixin Sun
https://arxiv.org/abs/2510.02726 https://

PGMEL: Policy Gradient-based Generative Adversarial Network for Multimodal Entity Linking
The task of entity linking, which involves associating mentions with their respective entities in a knowledge graph, has received significant attention due to its numerous potential applications. Recently, various multimodal entity linking (MEL) techniques have been proposed, targeted to learn comprehensive embeddings by leveraging both text and vision modalities. The selection of high-quality negative samples can potentially play a crucial role in metric/representation learning. However, to th…

Replaced article(s) found for cs.GR. https://arxiv.org/list/cs.GR/new
[1/1]:
- Neon: Negative Extrapolation From Self-Training Improves Image Generation
Sina Alemohammad, Zhangyang Wang, Richard G. Baraniuk

Parametric convergence rate of a non-parametric estimator in multivariate mixtures of power series distributions under conditional independence
Fadoua Balabdaoui, Harald Besdziek, Yong Wang
https://arxiv.org/abs/2509.05452

Parametric convergence rate of a non-parametric estimator in multivariate mixtures of power series distributions under conditional independence
The conditional independence assumption has recently appeared in a growing body of literature on the estimation of multivariate mixtures. We consider here conditionally independent multivariate mixtures of power series distributions with infinite support, to which belong Poisson, Geometric or Negative Binomial mixtures. We show that for all these mixtures, the non-parametric maximum likelihood estimator converges to the truth at the rate $(\log (nd))^{1+d/2} n^{-1/2}$ in the Hellinger distance,…

'The FCC should look into the license': Trump threatens ABC and NBC over negative coverage - Raw Story
https://www.rawstory.com/trump-2674156738/

Negative Order Bochner-Riesz Operators for the Critical Magnetic Schr\"odinger Operator in $\mathbb{R}^2$
Huanqing Guo, Junyong Zhang, Jiqiang Zheng
https://arxiv.org/abs/2510.04082

Negative Order Bochner-Riesz Operators for the Critical Magnetic Schrödinger Operator in $\mathbb{R}^2$
This paper studies the sharp $L^p$-$L^q$ boundedness of the Bochner-Riesz operator $S^δ_λ(\mathcal{L}_{\mathbf{A}})$ associated with a scaling-critical magnetic Schrödinger operator $\mathcal{L}_{\mathbf{A}}$ on $\mathbb{R}^2$, where $δ\in (-3/2, 0)$. We determine the conditions on the exponents $p$ and $q$ under which the operator is bounded from $L^p(\mathbb{R}^2)$ to $L^q(\mathbb{R}^2)$. Our main result characterizes the boundedness region as a pentagonal subset $Δ(δ)$ of the $(1/p, 1/…

Scalable Learning of One-Counter Automata via State-Merging Algorithms
Shibashis Guha, Anirban Majumdar, Prince Mathew, A. V. Sreejith
https://arxiv.org/abs/2509.05762 https://

Scalable Learning of One-Counter Automata via State-Merging Algorithms
We propose One-counter Positive Negative Inference (OPNI), a passive learning algorithm for deterministic real-time one-counter automata (DROCA). Inspired by the RPNI algorithm for regular languages, OPNI constructs a DROCA consistent with any given valid sample set. We further present a method for combining OPNI with active learning of DROCA, and provide an implementation of the approach. Our experimental results demonstrate that this approach scales more effectively than existing state-of-t…

MARCO: A Cooperative Knowledge Transfer Framework for Personalized Cross-domain Recommendations
Lili Xie, Yi Zhang, Ruihong Qiu, Jiajun Liu, Sen Wang
https://arxiv.org/abs/2510.04508

MARCO: A Cooperative Knowledge Transfer Framework for Personalized Cross-domain Recommendations
Recommender systems frequently encounter data sparsity issues, particularly when addressing cold-start scenarios involving new users or items. Multi-source cross-domain recommendation (CDR) addresses these challenges by transferring valuable knowledge from multiple source domains to enhance recommendations in a target domain. However, existing reinforcement learning (RL)-based CDR methods typically rely on a single-agent framework, leading to negative transfer issues caused by inconsistent doma…

Unbalancedness of the conjugacy relation of ergodic measure-preserving transformations
Bo Peng
https://arxiv.org/abs/2510.04989 https://arxiv.org/pdf/2510.…

Unbalancedness of the conjugacy relation of ergodic measure-preserving transformations
We show that the isomorphism of ergodic measure-preserving transformations is not Borel reducible to the relation induced by the conjugacy action of the full group of an ergodic measure-preserving transformation on itself. This answers a question of Le Maître in the negative and gives a positive indication towards a conjecture of Sabok. In fact, we prove that the isomorphism of ergodic measure-preserving transformation is unbalanced, which answers another question of Le Maître in the positive.

3D simulations of negative streamers in CO$_2$ with admixtures of C$_4$F$_7$N
Thomas J. G. Smits, Jannis Teunissen, Ute Ebert
https://arxiv.org/abs/2510.06794 https://

3D simulations of negative streamers in CO$_2$ with admixtures of C$_4$F$_7$N
CO$_2$ with an admixture of C$_4$F$_7$N could serve as an eco-friendly alternative to the extreme greenhouse gas SF$_6$ in high-voltage insulation. Streamer discharges in such gases are different from those in air due to the rapid conductivity decay in the streamer channels. Furthermore, since no effective photoionisation mechanism is known, we expect discharge growth to be more stochastic than in air. In this paper we investigate whether conventional fluid models can be used to simulate stream…

Demagnifying gravitational lenses as probes of dark matter structures and nonminimal couplings to gravity
Hong-Yi Zhang
https://arxiv.org/abs/2510.05575 https://

Demagnifying gravitational lenses as probes of dark matter structures and nonminimal couplings to gravity
Magnification of total image fluxes is typically considered a defining feature of gravitational microlensing. In contrast, I will show that nonminimal couplings to gravity can generate regions of negative gravitational potential curvature, giving rise to the distinctive possibility of demagnification. Such events, appearing as flux troughs in microlensing light curves, provide a direct probe of dark matter structures and, crucially, offer a means to disentangle nonminimal couplings to gravity f…

Replaced article(s) found for hep-th. https://arxiv.org/list/hep-th/new
[3/3]:
- From negative to positive cosmological constant through decreasing temperature of the Universe: c...
E. N. Nyergesy, I. G. M\'ari\'an, A. Trombettoni, I. N\'andori

Tuning pair interactions in colloidal systems using random light fields
Augustin Muster, Diego Romero Abujetas, Frank Scheffold, Luis S. Froufe-P\'erez
https://arxiv.org/abs/2510.06793

Tuning pair interactions in colloidal systems using random light fields
We propose a method to tune interactions between absorptionless colloidal particle pairs. This is achieved via optimization of the spectral energy density of a homogeneous random optical field. Several standard and more exotic interaction potentials, as well as their negative counterparts, are shown to be successfully tuned. We show that the effective dimensionality of the space of potential functions that can be created by this means can reach up to several tens.

How does course recommendation impact student outcomes? Examining directed self-placement with regression discontinuity analysis
Jason Godfrey
https://arxiv.org/abs/2510.03350 h…

How does course recommendation impact student outcomes? Examining directed self-placement with regression discontinuity analysis
For many students, placement into developmental education becomes a self-fulfilling prophecy. Placing college students into developmental education significantly negatively impacts student attainment, student probability of passing, and college credits earned. To combat these negative effects, many universities are investigating alternative placement mechanisms. Could directed self-placement be an effective alternative mechanism? Do students who self-place suffer the same negative impacts from …

Lightweight Transformer for EEG Classification via Balanced Signed Graph Algorithm Unrolling
Junyi Yao, Parham Eftekhar, Gene Cheung, Xujin Chris Liu, Yao Wang, Wei Hu
https://arxiv.org/abs/2510.03027 …

Lightweight Transformer for EEG Classification via Balanced Signed Graph Algorithm Unrolling
Samples of brain signals collected by EEG sensors have inherent anti-correlations that are well modeled by negative edges in a finite graph. To differentiate epilepsy patients from healthy subjects using collected EEG signals, we build lightweight and interpretable transformer-like neural nets by unrolling a spectral denoising algorithm for signals on a balanced signed graph -- graph with no cycles of odd number of negative edges. A balanced signed graph has well-defined frequencies that map to…

Bully talking to bully...
I hope that it will help the people in Gaza and West Bank...
Trump to Netanyahu on Gaza talks: "You're always so f***ing negative"
https://www.axios.com/2025/10/05/trump-netanyahu-call-gaza-peace-deal-hamas

Double-pair Coulomb(-Breit) photon correction to the correlated relativistic energy
P\'eter Jeszenszki, Edit M\'atyus
https://arxiv.org/abs/2510.04571 https://

Double-pair Coulomb(-Breit) photon correction to the correlated relativistic energy
The simplest, algebraic quantum-electrodynamical corrections, due to the double-negative energy subspace and instantaneous interactions, are computed to the no-pair Dirac-Coulomb(-Breit) energy of two-spin-1/2-fermion systems. Numerical results are reported for two-electron atoms with a clamped nucleus and positronium-like genuine two-particle systems. The Bethe-Salpeter equation provides the theoretical framework, and numerical methods have been developed for its equal-time time-slice. In prac…

🇺🇦 Auf radioeins läuft...
Nirvana:
🎵 Negative Creep
#NowPlaying #Nirvana
https://vacancyuk.bandcamp.com/track/nirvana-negative-creep-cover
https://open.spotify.com/track/5IeTFRymTDiza7DciBD1Gk

On a new region for the Lane-Emden conjecture in higher dimensions
Kui Li, Mingxiang Li, Juncheng Wei
https://arxiv.org/abs/2510.06613 https://arxiv.org/pd…

On a new region for the Lane-Emden conjecture in higher dimensions
We study the Lane-Emden conjecture, which asserts the non-existence of non-trivial, non-negative solutions to the Lane-Emden system \[ -Δu = v^p, \quad -Δv = u^q, \quad x \in \mathbb{R}^n\] in the subcritical regime. By employing an Obata-type integral inequality, Picone's identity, and exploiting the scaling invariance of the system, we prove that the conjecture holds for any dimension $n \geq 5$ and exponents satisfying $p\geq 1,q\geq 1$, and \[ \frac{1}{p+1} + \frac{1}{q+1} \geq …

Crosslisted article(s) found for q-bio.CB. https://arxiv.org/list/q-bio.CB/new
[1/1]:
- Determining a parabolic-elliptic-elliptic system by boundary observation of its non-negative solu...
Yuhan Li, Hongyu Liu, Catharine W. K. Lo

#30DayMapChallenge 🗺️ Day 3️⃣: Polygons
I went with a classic #choropleth map to keep things simple (and save my energy) and this one shows the population change of the 201 barangays (kinda like wards) of the city of Pasay in the

Quantum-Gravitational Backreaction in BTZ via Curved Momentum Space
Partha Nandi, Mainak Roy, Langa Horoto, Frederik G. Scholtz, Biswajit Chakraborty
https://arxiv.org/abs/2509.05713

Quantum-Gravitational Backreaction in BTZ via Curved Momentum Space
We study how quantum features of spacetime, specifically the curvature of momentum space, can backreact on classical gravity in a semiclassical (2+1)D setting with a negative cosmological constant. Starting from a first-order action, we derive an effective configuration-space action, revealing mass-dependent geodesics and a mild violation of the equivalence principle. Coupling this modified matter source to Einstein gravity, we obtain a corrected BTZ black hole, with ADM mass, Hawking temperatu…

📺 Youth screen use can cause family conflict, exacerbate mental health problems
https://medicalxpress.com/news/2025-10-youth-screen-family-conflict-exacerbate.html

Youth screen use can cause family conflict, exacerbate mental health problems
The presence of cellphones can have a negative impact on family relationships and youth mental health, according to two new studies from the University of Georgia.

Non-negative diffusion bridge of the McKean-Vlasov type: analysis of singular diffusion and application to fish migration
Hidekazu Yoshioka
https://arxiv.org/abs/2510.03692 http…

Non-negative diffusion bridge of the McKean-Vlasov type: analysis of singular diffusion and application to fish migration
McKean-Vlasov stochastic differential equations (MVSDEs) have broad potential applications in science and engineering, but remain insufficiently explored. We consider a non-negative McKean-Vlasov diffusion bridge, a diffusion process pinned at both initial and terminal times, motivated by diurnal fish migration phenomena. This type of MVSDEs has not been previously studied. Our particular focus is on a singular diffusion coefficient that blows up at the terminal time, which plays a role in appl…

Exponentially weighted moving average chart using zero-inflated negative binomial distribution
Ali Abbas, Sajid Ali, Ismail Shah
https://arxiv.org/abs/2509.03304 https://…

Exponentially weighted moving average chart using zero-inflated negative binomial distribution
Zero-inflated models are frequently used to deal with data having many zeros. A commonly used model for over-dispersed data containing zeros is known as the zero-inflated Poisson model. However, to account for the heterogeneity of counts that leads to excess variance besides inflation of zeros in the data using a more flexible model than the zero-inflated Poisson model, a zero-inflated negative binomial (ZINB) is suggested. In the present study, Shewhart and exponentially weighted moving averag…

Horospherical mean curvature functions and D'Atri spaces
Gerhard Knieper, JeongHyeong Park, Norbert Peyerimhoff
https://arxiv.org/abs/2510.04572 https://

Horospherical mean curvature functions and D'Atri spaces
We consider simply connected Riemannian manifolds without conjugate points for which the horospherical mean curvature function is continuous, reversible and invariant under the geodesic flow. We show under mild additional curvature tensor conditions that rank one manifolds in this family are automatically asymptotically harmonic. In particular, compact rank one manifolds of this kind must be locally symmetric spaces of negative curvature. Moreover, we show under the same conditions that rank on…

How a certain collective mentality produced Colts' biggest margin of victory in over a decade with Week 5 blowout win over Raiders https://www.colts.com/news/how-a-certain-collective-me…

The City of Wauwatosa is looking for new branding/logo design and floated running a "contest" and even posted what appears to be AI art examples.
People are not having it. Many comments were negative of the AI slop and many said "Hire actual designers!" so that's a bright spot this week.
#tosa

A weighted formulation of refined decoupling and inequalities of Mizohata-Takeuchi-type for the moment curve
Anthony Carbery, Zane Kun Li, Yixuan Pang, Po-Lam Yung
https://arxiv.org/abs/2510.04345

A weighted formulation of refined decoupling and inequalities of Mizohata-Takeuchi-type for the moment curve
Let $Γ$ be a compact patch of a well-curved $C^{n+1}$ curve in $\mathbb{R}^n$ with induced Lebesgue measure ${\rm d} λ$, and let $g \mapsto \widehat{g \,{\rm d}λ}$ be the Fourier extension operator for $Γ$. Then we have, for arbitrary non-negative weights $w$, \begin{equation*} \int_{B_R} |\widehat{g \,{\rm d}λ}|^2w \leq C_{n,a} R^{a} \sup_S \left(\int_S w\right)\int_Γ|g|^2 \, {\rm d} λ \end{equation*} for any $a> \frac{n-3}{2} + \frac{2}{n} - \frac{2}{n^2(n+1)}$,…

The set of distances in a Polish metric space
John D. Clemens
https://arxiv.org/abs/2509.01027 https://arxiv.org/pdf/2509.01027

The set of distances in a Polish metric space
We show that a set of non-negative reals is the distance set of a separable complete metric space if and only if it is either countable or is an analytic set which has 0 as a limit point. We also consider spaces with simpler distance sets.

Accelerated Convolutive Transfer Function-Based Multichannel NMF Using Iterative Source Steering
Xuemai Xie, Xianrui Wang, Liyuan Zhang, Yichen Yang, Shoji Makino
https://arxiv.org/abs/2510.02382

Accelerated Convolutive Transfer Function-Based Multichannel NMF Using Iterative Source Steering
Among numerous blind source separation (BSS) methods, convolutive transfer function-based multichannel non-negative matrix factorization (CTF-MNMF) has demonstrated strong performance in highly reverberant environments by modeling multi-frame correlations of delayed source signals. However, its practical deployment is hindered by the high computational cost associated with the iterative projection (IP) update rule, which requires matrix inversion for each source. To address this issue, we propo…

A modified exact penalty approach for general constrained $\ell_0$-sparse optimization problems
Christian Kanzow, Felix Wei{\ss}
https://arxiv.org/abs/2509.03203 https://…

A modified exact penalty approach for general constrained $\ell_0$-sparse optimization problems
We consider a general class of constrained optimization problems with an additional $\ell_0$- sparsity term in the objective function. Based on a recent reformulation of this difficult $\ell_0$-term, we consider a nonsmooth penalty approach which differs from the authors previous work by the fact that it can be directly applied to problems which do not necessarily contain nonnegativity constraints. This avoids a splitting of free variables into their positive and negative parts, reduces the dim…

Abnormal boundary decay for the fractional Laplacian
Soobin Cho, Renming Song
https://arxiv.org/abs/2510.03961 https://arxiv.org/pdf/2510.03961

Abnormal boundary decay for the fractional Laplacian
In this paper, we show that, for $α\in (0,2)$, the $C^{1, \rm Dini}$ regularity assumption on an open set $D\subset \mathbb R^d$ is optimal for the standard boundary decay property for nonnegative $α$-harmonic functions in $D$ and for the standard boundary decay property of the heat kernel $p^D(t,x,y)$ of the Dirichlet fractional Laplacian $Δ^{α/2}|_D$ by proving the following: (i) If $D$ is a $C^{1, \rm Dini}$ open set and $h$ is a non-negative function which is $α$-harmonic in $D$ a…

Crosslisted article(s) found for q-bio.SC. https://arxiv.org/list/q-bio.SC/new
[1/1]:
- Determining a parabolic-elliptic-elliptic system by boundary observation of its non-negative solu...
Yuhan Li, Hongyu Liu, Catharine W. K. Lo

Neon: Negative Extrapolation From Self-Training Improves Image Generation
Sina Alemohammad, Zhangyang Wang, Richard G. Baraniuk
https://arxiv.org/abs/2510.03597 https://

Neon: Negative Extrapolation From Self-Training Improves Image Generation
Scaling generative AI models is bottlenecked by the scarcity of high-quality training data. The ease of synthesizing from a generative model suggests using (unverified) synthetic data to augment a limited corpus of real data for the purpose of fine-tuning in the hope of improving performance. Unfortunately, however, the resulting positive feedback loop leads to model autophagy disorder (MAD, aka model collapse) that results in a rapid degradation in sample quality and/or diversity. In this pape…

Identification in source apportionment using geometry
Bora Jin, Abhirup Datta
https://arxiv.org/abs/2510.03616 https://arxiv.org/pdf/2510.03616

Identification in source apportionment using geometry
Source apportionment analysis, which aims to quantify the attribution of observed concentrations of multiple air pollutants to specific sources, can be formulated as a non-negative matrix factorization (NMF) problem. However, NMF is non-unique and typically relies on unverifiable assumptions such as sparsity and uninterpretable scalings. In this manuscript, we establish identifiability of the source attribution percentage matrix under much weaker and more realistic conditions. We introduce the …

An Information-Flow Perspective on Explainability Requirements: Specification and Verification
Bernd Finkbeiner, Hadar Frenkel, Julian Siber
https://arxiv.org/abs/2509.01479 htt…

An Information-Flow Perspective on Explainability Requirements: Specification and Verification
Explainable systems expose information about why certain observed effects are happening to the agents interacting with them. We argue that this constitutes a positive flow of information that needs to be specified, verified, and balanced against negative information flow that may, e.g., violate privacy guarantees. Since both explainability and privacy require reasoning about knowledge, we tackle these tasks with epistemic temporal logic extended with quantification over counterfactual causes. T…

Subthermal Mean Transverse Energies Induced by Electron Refraction on the Jump in Mass at the Surface of Multialkali Photocathodes
S. A. Rozhkov, V. V. Bakin, H. E. Scheibler, V. S. Rusetsky, D. V. Gorshkov, D. A. Kustov, V. A. Golyashov, V. L. Alperovich, O. E. Tereshchenko
https://arxiv.org/abs/2510.02897…

Subthermal Mean Transverse Energies Induced by Electron Refraction on the Jump in Mass at the Surface of Multialkali Photocathodes
The search for photocathode materials with low mean transverse energies (MTEs) and, hence, low intrinsic emittance is of crucial importance for various fields of particle and solid state physics. Here, we demonstrate that polycrystalline multialkali Na$_{2}$KSb(Cs,Sb) photocathodes with negative effective electron affinity (NEA) have MTE values at room temperature by a factor of 2 lower than those of monocrystalline \textit{p}-GaAs(Cs,O) photocathodes. These low MTE values are due to the electr…

Design of a Josephson diode based on double magnetic impurities
Yu-Fei Sun, Yue Mao, Qing-Feng Sun
https://arxiv.org/abs/2509.03984 https://arxiv.org/pdf/2…

Design of a Josephson diode based on double magnetic impurities
We theoretically propose a universal superconducting diode device based on double magnetic impurities which are coupled to the connection region of the Josephson junction. The positive and negative currents flowing across the junction can generate opposite magnetic fields, flipping the magnetic moment of the side magnetic impurity to the opposite directions, and in turn, the two impurities will have different impacts on the opposite currents. This results in the phenomenon that the positive and…

Modeling and Mixed-Integer Nonlinear MPC of Positive-Negative Pressure Pneumatic Systems
Yu Mei, Xinyu Zhou, Xiaobo Tan
https://arxiv.org/abs/2510.00433 https://

Modeling and Mixed-Integer Nonlinear MPC of Positive-Negative Pressure Pneumatic Systems
Positive-negative pressure regulation is critical to soft robotic actuators, enabling large motion ranges and versatile actuation modes. However, it remains challenging due to complex nonlinearities, oscillations, and direction-dependent, piecewise dynamics introduced by affordable pneumatic valves and the bidirectional architecture. We present a model-based control framework that couples a physics-grounded switched nonlinear plant model (inflation/deflation modes) with a mixed-integer nonlinea…

On the Orthogonal Projections
Jiarui Fei
https://arxiv.org/abs/2510.01615 https://arxiv.org/pdf/2510.01615

On the Orthogonal Projections
For any ${\rm E}$-rigid presentation $e$, we construct an orthogonal projection functor to ${\rm rep}(e^\perp)$ left adjoint to the natural embedding. We establish a bijection between presentations in ${\rm rep}(e^\perp)$ and presentations compatible with $e$. For quivers with potentials, we show that ${\rm rep}(e^\perp)$ forms a module category of another quiver with potential. We derive mutation formulas for the $δ$-vectors of positive and negative complements and the dimension vectors of si…

Oracle, whose expenses are rising as it begins to fulfill massive cloud infrastructure deals, turned cash flow negative this year for the first time since 1992 (Brody Ford/Bloomberg)
https://www.bloomberg.com/news/newsletters…

Doubly charmed pentaquark states with strangeness $S=0, -1$
Wei Chen, Feng-Bo Duan, Zi-Yan Yang, Qi-Nan Wang, Xu-Liang Chen, Qian Wang
https://arxiv.org/abs/2509.01965 https://

Doubly charmed pentaquark states with strangeness $S=0, -1$
In this work, we have studied the mass spectra of doubly charmed pentaquark states with strangeness $S=0, -1$ by using the method of QCD sum rules. We use the parity projected sum rules to separate the contributions of negative and positive parities from the two-point correlation functions induced by the pentaquark interpolating currents. Our results predict the existence of some potential doubly charmed pentaquark bound states.

What Drives Compositional Generalization in Visual Generative Models?
Karim Farid, Rajat Sahay, Yumna Ali Alnaggar, Simon Schrodi, Volker Fischer, Cordelia Schmid, Thomas Brox
https://arxiv.org/abs/2510.03075

What Drives Compositional Generalization in Visual Generative Models?
Compositional generalization, the ability to generate novel combinations of known concepts, is a key ingredient for visual generative models. Yet, not all mechanisms that enable or inhibit it are fully understood. In this work, we conduct a systematic study of how various design choices influence compositional generalization in image and video generation in a positive or negative way. Through controlled experiments, we identify two key factors: (i) whether the training objective operates on a d…

Non-Foster Photonic Time Crystals
Zeyuan Li, Mohammad Sajjad Mirmoosa, Silvio Hrabar, Viktar Asadchy, Xuchen Wang
https://arxiv.org/abs/2509.00795 https://…

Non-Foster Photonic Time Crystals
Photonic time crystals (PhTCs) are spatially uniform media whose material parameters vary periodically in time, opening momentum bandgaps within which the fields of electromagnetic modes can grow exponentially in time. To date, PhTCs have utilized only passive, lossless materials with "positive" dispersion (Foster materials), and a theoretical framework addressing active materials with "negative" dispersion (non-Foster materials) in PhTCs and their associated physical properties remains undevel…

Every negative amphichiral knot is rationally slice
Alessio Di Prisa, Jaewon Lee, O\u{g}uz \c{S}avk
https://arxiv.org/abs/2509.21140 https://arxiv.org/pdf/…

Every negative amphichiral knot is rationally slice
In 2009, Kawauchi proved that every strongly negative amphichiral knot is rationally slice. However, as shown by Hartley in 1980, there are examples of negative amphichiral knots that are not strongly negative amphichiral. In this paper, we prove that every negative amphichiral link whose amphichiral map preserves each component is rationally slice. Our proof relies on a systematic analysis of the action induced by the negative amphichiral map on the JSJ decomposition of the link exterior. More…

Classical BV cohomology of the $N=1$ spinning particle
Eugenia Boffo, Martin Cederwall
https://arxiv.org/abs/2510.00655 https://arxiv.org/pdf/2510.00655

Classical BV cohomology of the $N=1$ spinning particle
We show that the classical Batalin--Vilkovisky cohomology at negative ghost number of the spinning particle, observed in ref. arXiv:1511.02135, is removed by a Koszul--Tate resolution involving saturation of Grassmann odd variables. The model thus satisfies the axioms of Felder and Kazhdan. The AKSZ formulation of the resolved model is described. We reveal partial information on the resolution of the constrained phase space, which involves resolving the parity-shifted tangent sheaf of the light…

Exploring the interplay between Planetary Boundaries and Sustainable Development Goals using Large Language Models
Lamyae Rhomrasi, Pilar Manch\'on, Ricardo Vinuesa, Francesco Fuso-Nerini, J. Alberto Conejero, Javier Garc\'ia-Mart\'inez, Sergio Hoyas
https://arxiv.org/abs/2509.02638

Exploring the interplay between Planetary Boundaries and Sustainable Development Goals using Large Language Models
By analyzing 40,037 climate articles using Large Language Models (LLMs), we identified interactions between Planetary Boundaries (PBs) and Sustainable Development Goals (SDGs). An automated reasoner distinguished true trade-offs (SDG progress harming PBs) and synergies (mutual reinforcement) from double positives and negatives (shared drivers). Results show 21.1% true trade-offs, 28.3% synergies, and 19.5% neutral interactions, with the remainder being double positive or negative. Key findings …

Determining a parabolic-elliptic-elliptic system by boundary observation of its non-negative solutions under chemotaxis background
Yuhan Li, Hongyu Liu, Catharine W. K. Lo
https://arxiv.org/abs/2509.04850

Determining a parabolic-elliptic-elliptic system by boundary observation of its non-negative solutions under chemotaxis background
This paper addresses a profoundly challenging inverse problem that has remained largely unexplored due to its mathematical complexity: the unique identification of all unknown coefficients in a coupled nonlinear system of mixed parabolic-elliptic-elliptic type using only boundary measurements. The system models attraction-repulsion chemotaxis--an advanced mathematical biology framework for studying sophisticated cellular processes--yet despite its significant practical importance, the correspon…

Who Pays for Fairness? Rethinking Recourse under Social Burden
Ainhize Barrainkua, Giovanni De Toni, Jose Antonio Lozano, Novi Quadrianto
https://arxiv.org/abs/2509.04128 https:…

Who Pays for Fairness? Rethinking Recourse under Social Burden
Machine learning based predictions are increasingly used in sensitive decision-making applications that directly affect our lives. This has led to extensive research into ensuring the fairness of classifiers. Beyond just fair classification, emerging legislation now mandates that when a classifier delivers a negative decision, it must also offer actionable steps an individual can take to reverse that outcome. This concept is known as algorithmic recourse. Nevertheless, many researchers have exp…

F2LLM Technical Report: Matching SOTA Embedding Performance with 6 Million Open-Source Data
Ziyin Zhang, Zihan Liao, Hang Yu, Peng Di, Rui Wang
https://arxiv.org/abs/2510.02294 …

F2LLM Technical Report: Matching SOTA Embedding Performance with 6 Million Open-Source Data
We introduce F2LLM - Foundation to Feature Large Language Models, a suite of state-of-the-art embedding models in three sizes: 0.6B, 1.7B, and 4B. Unlike previous top-ranking embedding models that require massive contrastive pretraining, sophisticated training pipelines, and costly synthetic training data, F2LLM is directly finetuned from foundation models on 6 million query-document-negative tuples curated from open-source, non-synthetic datasets, striking a strong balance between training cos…

Beyond Negative Transfer: Disentangled Preference-Guided Diffusion for Cross-Domain Sequential Recommendation
Xiaoxin Ye, Chengkai Huang, Hongtao Huang, Lina Yao
https://arxiv.org/abs/2509.00389

Beyond Negative Transfer: Disentangled Preference-Guided Diffusion for Cross-Domain Sequential Recommendation
Cross-Domain Sequential Recommendation (CDSR) leverages user behaviors across domains to enhance recommendation quality. However, naive aggregation of sequential signals can introduce conflicting domain-specific preferences, leading to negative transfer. While Sequential Recommendation (SR) already suffers from noisy behaviors such as misclicks and impulsive actions, CDSR further amplifies this issue due to domain heterogeneity arising from diverse item types and user intents. The core challeng…

Primes of the form $ax by$ in certain intervals with small solutions
Yuchen Ding, Takao Komatsu, Honghu Liu
https://arxiv.org/abs/2510.01781 https://arxiv.…

Primes of the form $ax+by$ in certain intervals with small solutions
Let $1

The Optimal Magnitude of Government Spending: Evidence from Cambodia
Leanghak Hok, Zoltan Bartha
https://arxiv.org/abs/2510.02368 https://arxiv.org/pdf/251…

The Optimal Magnitude of Government Spending: Evidence from Cambodia
Scholars and policymakers have vigorously debated what the impact of government spending on economic growth is. Some current research and theoretical models suggest that the reaction of economic growth to the extension of government spending can be either positive or negative. This article intends to investigate the inverted-U shaped relationship between output growth and government spending (i.e., government fixed capital formation [GFCF] and government final consumption expenditure [GFCE]). O…

On the Relativity of Quantumness as Implied by Relativity of Arithmetic and Probability
Marek Czachor
https://arxiv.org/abs/2510.00637 https://arxiv.org/pd…

On the Relativity of Quantumness as Implied by Relativity of Arithmetic and Probability
A hierarchical structure of isomorphic arithmetics is defined by a bijection $g_\mathbb{R}:\mathbb{R}\to \mathbb{R}$. It entails a hierarchy of probabilistic models, with probabilities $p_k=g^k(p)$, where $g$ is the restriction of $g_\mathbb{R}$ to the interval $[0,1]$, $g^k$ is the $k$th iterate of $g$, and $k$ is an arbitrary integer (positive, negative, or zero; $g^0(x)=x$). The relation between $p$ and $g^k(p)$, $k>0$, is analogous to the one between probability and neural activation functi…

Impulse control in a spectrally negative L\'evy model with a level-dependent intensity of bankruptcy
Dante Mata
https://arxiv.org/abs/2508.21133 https://

Impulse control in a spectrally negative Lévy model with a level-dependent intensity of bankruptcy
We consider an optimal dividend problem with transaction costs where the surplus is modelled by a spectrally negative Lévy process in an Omega model. n this model, the surplus is allowed to spend time below the critical ruin level, but is penalised by a state-dependent intensity of bankruptcy. We show that under the spectrally negative model an optimal strategy is such that the surplus is reduced to a level $c_1$ whenever they are above another level $c_2$, and that such levels are unique unde…

Canonical Forms as Dual Volumes
Elia Mazzucchelli, Prashanth Raman
https://arxiv.org/abs/2509.02239 https://arxiv.org/pdf/2509.02239

Canonical Forms as Dual Volumes
We study dual volume representations of canonical forms for positive geometries in projective spaces, expressing their rational canonical functions as Laplace transforms of measures supported on the convex dual of the semialgebraic set. When the measure is non-negative, we term the geometry completely monotone, reflecting the property of its canonical function. We identify a class of positive geometries whose canonical functions admit such dual volume representations, characterized by the algeb…

Zero-free regions for the independence polynomial on restricted graph classes
Mark Jerrum, Viresh Patel
https://arxiv.org/abs/2510.01466 https://arxiv.org/…

Zero-free regions for the independence polynomial on restricted graph classes
Generalising the Heilman-Lieb Theorem from statistical physics, Chudnovsky and Seymour [J. Combin. Theory Ser. B, 97(3):350--357] showed that the univariate independence polynomial of any claw-free graph has all of its zeros on the negative real line. In this paper, we show that for any fixed subdivded claw $H$ and any $Δ$, there is an open set $F \subseteq \mathbb{C}$ containing $[0, \infty)$ such that the independence polynomial of any $H$-free graph of maximum degree $Δ$ has all of its zer…

Energy Confinement Time Scaling for the Negative Triangularity Scenario in DIII-D
P. Lunia
https://arxiv.org/abs/2509.04279 https://arxiv.org/pdf/2509.0427…

Energy Confinement Time Scaling for the Negative Triangularity Scenario in DIII-D
Results from the 2023 negative triangularity campaign on DIII-D demonstrate encouraging energy confinement properties, similar to or exceeding the scaling of the IPB98(y,2) law. This paper describes the procedure with which a new scaling law was regressed specifically from the data from the DIII-D campaign. Given the relatively small size of the single-machine dataset, measures were taken to minimize sampling bias and give a realistic estimate of the large uncertainties from the regression. The…

Negative Lyapunov exponent of circle maps forced by expanding circle endomorphisms
Kirthana Rajasekar
https://arxiv.org/abs/2508.21645 https://arxiv.org/pd…

Negative Lyapunov exponent of circle maps forced by expanding circle endomorphisms
We study maps on the torus $\mathbb{T}^2$ that are of the form $F(x,y) = (bx, f_x(y))$, where $b\geq 2$ is an integer. We establish an open class of $C^1$-maps, with $f_x(y)$ that are typically non-monotonic in $x$, for which the Lyapunov exponents on the fibre are negative almost everywhere. For each fixed $f_x(y)$ and a base map $bx$ that is sufficiently expanding, we establish a uniform upper bound for the Lyapunov exponents; moreover, the uniform bound depends on selective characteristics o…

Singularity resolution in the backreacted Schwarzschild geometry from 2D matter with negative central charge
F. J. Mara\~n\'on-Gonz\'alez, A. del R\'io, J. Navarro-Salas
https://arxiv.org/abs/2510.02447

Singularity resolution in the backreacted Schwarzschild geometry from 2D matter with negative central charge
Two-dimensional dilaton gravity provides a valuable framework to study the dynamics of quantum black holes. These models are often coupled to conformal scalar fields, which capture essential quantum effects such as the trace anomaly, while remaining analytically tractable. From the viewpoint of two-dimensional quantum field theory, unitary theories require a positive central charge. However, theories with a total negative central charge naturally arise from the contribution of the Faddeev-Popov…

Autonomous Learning From Success and Failure: Goal-Conditioned Supervised Learning with Negative Feedback
Zeqiang Zhang, Fabian Wurzberger, Gerrit Schmid, Sebastian Gottwald, Daniel A. Braun
https://arxiv.org/abs/2509.03206

Autonomous Learning From Success and Failure: Goal-Conditioned Supervised Learning with Negative Feedback
Reinforcement learning faces significant challenges when applied to tasks characterized by sparse reward structures. Although imitation learning, within the domain of supervised learning, offers faster convergence, it relies heavily on human-generated demonstrations. Recently, Goal-Conditioned Supervised Learning (GCSL) has emerged as a potential solution by enabling self-imitation learning for autonomous systems. By strategically relabelling goals, agents can derive policy insights from their …

Spiking control systems for soft robotics: a rhythmic case study in a soft robotic crawler
Juncal Arbelaiz, Alessio Franci, Naomi Ehrich Leonard, Rodolphe Sepulchre, Bassam Bamieh
https://arxiv.org/abs/2509.02968

Spiking control systems for soft robotics: a rhythmic case study in a soft robotic crawler
Inspired by spiking neural feedback, we propose a spiking controller for efficient locomotion in a soft robotic crawler. Its bistability, akin to neural fast positive feedback, combined with a sensorimotor slow negative feedback loop, generates rhythmic spiking. The closed-loop system is robust through the quantized actuation, and negative feedback ensures efficient locomotion with minimal external tuning. We prove that peristaltic waves arise from a supercritical Hopf bifurcation controlled by…

Classification for smooth manifolds looking like $\mathbb{CP}^3\times S^7$
Wen Shen
https://arxiv.org/abs/2510.00613 https://arxiv.org/pdf/2510.00613

Classification for smooth manifolds looking like $\mathbb{CP}^3\times S^7$
In this paper, we classify simply connected closed smooth $13$-dimensional manifolds whose cohomology ring is isomorphic to that of $\mb{CP}^3\times S^7$, up to diffeomorphism, homeomorphism, and homotopy equivalence. Furthermore, if such a manifold satisfies certain conditions, either itself or its connected sum with an exotic $13$-sphere $Σ^{13}$ admits a Riemannian metric of non-negative sectional curvature. As an additional application of our classification, we classify the diagonal $S^1$-…

Effects of the ekpyrotic mechanism on inflationary phase in loop quantum cosmologies
Christian Brown, Jared Fier, Brian Phillips, Gerald Cleaver, Anzhong Wang
https://arxiv.org/abs/2510.03907

Effects of the ekpyrotic mechanism on inflationary phase in loop quantum cosmologies
In bouncing cosmological models, either classical or quantum, the big bang singularity is replaced by a regular bounce. A challenging question in such models is how to keep the shear under control in the contracting phase, as it is well-known that the shear grows as fast as $1/a^{6}$ toward the bounce, where $a$ is the expansion factor of the universe. A common approach is to introduce a scalar field with an ekpyrotic-like potential which becomes negative near the bounce, so the effective equat…

$q$-Deformed Discrete Whittaker Processes
Richard Ninness
https://arxiv.org/abs/2509.02881 https://arxiv.org/pdf/2509.02881

$q$-Deformed Discrete Whittaker Processes
We consider a Markov process on non-negative integer arrays of a certain shape, this shape being determined by general parameters in the model which correspond to drifts. In the case where these drifts are trivial, the arrays are reverse plane partitions. This model is closely related to the Whittaker functions of the quantum group $U_q(\mathfrak{sl}_{r+1})$ and the Toda lattice. Moreover, the Markov process we introduce can be viewed as a one-parameter deformation of the discrete Whittaker pro…

Estudio de la eficiencia en la escalabilidad de GPUs para el entrenamiento de Inteligencia Artificial
David Cortes, Carlos Juiz, Belen Bermejo
https://arxiv.org/abs/2509.03263 h…

Estudio de la eficiencia en la escalabilidad de GPUs para el entrenamiento de Inteligencia Artificial
Training large-scale deep learning models has become a key challenge for the scientific community and industry. While the massive use of GPUs can significantly speed up training times, this approach has a negative impact on efficiency. In this article, we present a detailed analysis of the times reported by MLPerf Training v4.1 on four workloads: BERT, Llama2 LoRA, RetinaNet, and Stable Diffusion, showing that there are configurations that optimise the relationship between performance, GPU usag…

Local boundedness for weak solutions to strongly degenerate orthotropic parabolic equations
Pasquale Ambrosio, Simone Ciani
https://arxiv.org/abs/2510.03412 https://

Local boundedness for weak solutions to strongly degenerate orthotropic parabolic equations
We prove the local boundedness of local weak solutions to the parabolic equation \[ \partial_{t}u\,=\,\sum_{i=1}^{n}\partial_{x_{i}}\left[(\vert u_{x_{i}}\vert-δ_{i})_{+}^{p-1}\frac{u_{x_{i}}}{\vert u_{x_{i}}\vert}\right]\,\,\,\,\,\,\,\,\,\,\mathrm{in}\,\,\,Ω_{T}=Ω\times(0,T]\,, \] where $Ω$ is a bounded domain in $\mathbb{R}^{n}$ with $n\geq2$, $p\geq2$, $δ_{1},\ldots,δ_{n}$ are non-negative numbers and $\left(\,\cdot\,\right)_{+}$ denotes the positive part. The main novelty here is that…

Edge-connectivity and non-negative Lin-Lu-Yau curvature
Shiping Liu, Qing Xia
https://arxiv.org/abs/2508.20950 https://arxiv.org/pdf/2508.20950

Edge-connectivity and non-negative Lin-Lu-Yau curvature
By definition, the edge-connectivity of a connected graph is no larger than its minimum degree. In this paper, we prove that the edge connectivity of a finite connected graph with non-negative Lin-Lu-Yau curvature is equal to its minimum degree. This answers an open question of Chen, Liu and You. Notice that our conclusion would be false if we did not require the graph to be finite. We actually classify all connected graphs with non-negative Lin-Lu-Yau curvature and edge-connectivity smaller th…

Further Applications of Cubic $q$-Binomial Transformations
Alexander Berkovich, Aritram Dhar
https://arxiv.org/abs/2510.00130 https://arxiv.org/pdf/2510.00…

Further Applications of Cubic $q$-Binomial Transformations
Consider \begin{align*} G(N,M;α,β,K,q) = \sum\limits_{j\in\mathbb{Z}}(-1)^jq^{\frac{1}{2}Kj((α+β)j+α-β)}\left[\begin{matrix}M+N\\N-Kj\end{matrix}\right]_{q}. \end{align*} In this paper, we prove the non-negativity of coefficients of some cases of $G(N,M;α,β,K,q)$. For instance, for non-negative integers $n$ and $t$, we prove that \begin{align*} G\left(n,n;\frac{4}{3}+\frac{3(3^t-1)}{2},\frac{5}{3}+\frac{3(3^t-1)}{2},3^{t+1},q\right) \end{align*} and \begin{align*} G\left(n-\frac{3^t-1}{…

Beyond Log Likelihood: Probability-Based Objectives for Supervised Fine-Tuning across the Model Capability Continuum
Gaotang Li, Ruizhong Qiu, Xiusi Chen, Heng Ji, Hanghang Tong
https://arxiv.org/abs/2510.00526

Beyond Log Likelihood: Probability-Based Objectives for Supervised Fine-Tuning across the Model Capability Continuum
Supervised fine-tuning (SFT) is the standard approach for post-training large language models (LLMs), yet it often shows limited generalization. We trace this limitation to its default training objective: negative log likelihood (NLL). While NLL is classically optimal when training from scratch, post-training operates in a different paradigm and could violate its optimality assumptions, where models already encode task-relevant priors and supervision can be long and noisy. To this end, we study…

Learning from Silence and Noise for Visual Sound Source Localization
Xavier Juanola, Giovana Morais, Magdalena Fuentes, Gloria Haro
https://arxiv.org/abs/2508.21761 https://

Learning from Silence and Noise for Visual Sound Source Localization
Visual sound source localization is a fundamental perception task that aims to detect the location of sounding sources in a video given its audio. Despite recent progress, we identify two shortcomings in current methods: 1) most approaches perform poorly in cases with low audio-visual semantic correspondence such as silence, noise, and offscreen sounds, i.e. in the presence of negative audio; and 2) most prior evaluations are limited to positive cases, where both datasets and metrics convey sce…

Entanglement entropy between tangent balls in CFT$_D$
Jiankun Li, Li Song
https://arxiv.org/abs/2510.01655 https://arxiv.org/pdf/2510.01655

Entanglement entropy between tangent balls in CFT$_D$
We apply the universal method developed in \cite{Jiang:2025jnk} to compute the entanglement entropy between two tangent balls in CFT$_D$. When taking the radius of one ball to infinity, it gives the entanglement entropy between a ball and its tangent half plane. In two-dimensional case, this configuration is equivalent to the entanglement in boundary conformal field theory (BCFT) between the negative half-axis and an interval ending on the boundary.

UniMLR: Modeling Implicit Class Significance for Multi-Label Ranking
V. Bugra Yesilkaynak, Emine Dari, Alican Mertan, Gozde Unal
https://arxiv.org/abs/2508.21772 https://…

UniMLR: Modeling Implicit Class Significance for Multi-Label Ranking
Existing multi-label ranking (MLR) frameworks only exploit information deduced from the bipartition of labels into positive and negative sets. Therefore, they do not benefit from ranking among positive labels, which is the novel MLR approach we introduce in this paper. We propose UniMLR, a new MLR paradigm that models implicit class relevance/significance values as probability distributions using the ranking among positive labels, rather than treating them as equally important. This approach un…

Cube Height, Cube Width and Related Extremal Problems for Posets
Paul Bastide, J\k{e}drzej Hodor, Hoang La, William T. Trotter
https://arxiv.org/abs/2510.00928 https://

Cube Height, Cube Width and Related Extremal Problems for Posets
Given a poset $P$, a family $\mathcal{S}=\{S_x:x\in P\}$ of sets indexed by the elements of $P$ is called an inclusion representation of $P$ if $x\leqslant y$ in $P$ if and only if $S_x\subseteq S_y$. The cube height of a poset is the least non-negative integer $h$ such that $P$ has an inclusion representation for which every set has size at most $h$. In turn, the cube width of $P$ is the least non-negative integer $w$ for which there is an inclusion representation $\mathcal{S}$ of $P$ such tha…

Gravastars with Kuchowicz Metric Potential in $f(R, \Sigma, T)$ Gravity
Bharat Singh, S. Surendra Singh
https://arxiv.org/abs/2509.03553 https://arxiv.org/…

Gravastars with Kuchowicz Metric Potential in $f(R, Σ, T)$ Gravity
This manuscript explores the gravastar model in the $f(R,Σ,T)$ gravity framework, with the help of Kuchowicz metric funcition, offering an alternative to black holes. A gravastar has three regions: interior, intermediate shell, and exterior. The interior region has pressure equal to negative density, generating a repulsive force across the thin shell. The intermediate shell contains ultra-relativistic plasma fluids, with pressure proportional to density, balancing the interior's repulsive forc…

SeaPO: Strategic Error Amplification for Robust Preference Optimization of Large Language Models
Jun Rao, Yunjie Liao, Xuebo Liu, Zepeng Lin, Lian Lian, Dong Jin, Shengjun Cheng, Jun Yu, Min Zhang
https://arxiv.org/abs/2509.24781

SeaPO: Strategic Error Amplification for Robust Preference Optimization of Large Language Models
Existing alignment methods for preference optimization of large language models (LLMs) aim to enhance model performance by utilizing pairs of positive and negative samples. However, due to the limited capacity of models in scoring or generating responses, the quality of positive and negative samples may become similar during training, which complicates optimization for preference learning. To address this issue, we introduce SeaPO, a Strategic Error Amplification method that leverages three err…

From negative to positive $\Lambda$ through cosmological decreasing temperatures and its connection to spacetime foliation and string theory
E. N. Nyergesy, I. G. M\'ari\'an, A. Trombettoni, I. N\'andori
https://arxiv.org/abs/2510.02244

From negative to positive $Λ$ through cosmological decreasing temperatures and its connection to spacetime foliation and string theory
String theories naturally predict a negative, while observations on the exponential expansion of the present Universe requires a positive value for the cosmological constant $Λ$. Solution to resolve this discrepancy is known in the framework of string theory and given for Asymptotically Safe (AS) quantum gravity by using Renormalization Group (RG). However, the former might describes unstable worlds and the latter lacks the inclusion of temperature which is otherwise crucial in the early Unive…

High-Dimensional Analysis of Single-Layer Attention for Sparse-Token Classification
Nicholas Barnfield, Hugo Cui, Yue M. Lu
https://arxiv.org/abs/2509.25153 https://

High-Dimensional Analysis of Single-Layer Attention for Sparse-Token Classification
When and how can an attention mechanism learn to selectively attend to informative tokens, thereby enabling detection of weak, rare, and sparsely located features? We address these questions theoretically in a sparse-token classification model in which positive samples embed a weak signal vector in a randomly chosen subset of tokens, whereas negative samples are pure noise. In the long-sequence limit, we show that a simple single-layer attention classifier can in principle achieve vanishing tes…