Tootfinder

(2018, free PDF download) Retinal prosthesis: A clinical guide to successful implementation (Essentials in ophthalmology) by Mark S. Humayun https://unitedvrg.com/2024/11/09/retinal-prosthesis-a-clini…

Empfehle allen, das SPD-Manifest zumindest mal zu lesen.
https://www.tagesschau.de/inland/innenpolitik/spd-manifest-frieden-100.pdf

Wait. What? Did Kepler poison Brahe?? I kinda expect he'd know how, the thing with his mom's 'tinctures' and all, and we know he "just happened" to gain access after, but what use would 'witches' (herbalists?) have to do with mercury?
#mysteryandintrigue
The Astronomers Tycho Brahe and Johannes Kepler (pdf)
https://chandra.harvard.edu/edu/formal/icecore/The_Astronomers_Tycho_Brahe_and_Johannes_Kepler.pdf

from my link log —
Performance of memory reclamation for lockless synchronization.
http://csng.cs.toronto.edu/publication_files/0000/0159/jpdc07.pdf
saved 2022-12-26

@… There’s some weird shit in the dusty corners of Unicode: https://www.unicode.org/charts/PDF/U1FB00.pdf

Safe Screening Rules for Group SLOPE
Runxue Bao, Quanchao Lu, Yanfu Zhang
https://arxiv.org/abs/2506.09451 https://arxiv.org/pdf/2506…

Safe Screening Rules for Group SLOPE
Variable selection is a challenging problem in high-dimensional sparse learning, especially when group structures exist. Group SLOPE performs well for the adaptive selection of groups of predictors. However, the block non-separable group effects in Group SLOPE make existing methods either invalid or inefficient. Consequently, Group SLOPE tends to incur significant computational costs and memory usage in practical high-dimensional scenarios. To overcome this issue, we introduce a safe screening …

Notes on applicative matching logic
Laurentiu Leustean
https://arxiv.org/abs/2506.10088 https://arxiv.org/pdf/2506.10088

Notes on applicative matching logic
Matching logic (ML) was developed by Grigore Roşu and collaborators as a logic for defining the formal semantics of programming languages and for specifying and reasoning about the behavior of programs. These lecture notes present basic definitions and results on applicative matching logic (AML), a functional variant of ML introduced recently by Xiaohong Chen and Grigore Roşu. They can be used as an introductory text in the theory of AML. Monk's textbook on mathematical logic has an enormous …

Coherent states of finite-level systems
A. I. Breev, D. M. Gitman
https://arxiv.org/abs/2506.10668 https://arxiv.org/pdf/2506.10668…

Coherent states of finite-level systems
A method for constructing coherent states (CS) of finite-level systems with a given angular momentum is proposed. To this end we generalize the known spin equation (SE) to an infinite-dimensional Fock space. The equation describes a special quadratic system in the latter space. Its projections on $d$-dimensional subspaces, represent analogs of SE for $d$-dimensional systems in an external electromagnetic field which describe $d$-dimensional systems with a given angular moment. Using a modificat…

Quantifying Azure RBAC Wildcard Overreach
Christophe Parisel
https://arxiv.org/abs/2506.10755 https://arxiv.org/pdf/2506.10755…

Quantifying Azure RBAC Wildcard Overreach
Azure RBAC leverages wildcard permissions to simplify policy authoring, but this abstraction often obscures the actual set of allowed operations and undermines least-privilege guarantees. We introduce Belshazaar, a two-stage framework that targets both the effective permission set problem and the evaluation of wildcards permissions spread. First, we formalize Azure action syntax via a context free grammar and implement a compiler that expands any wildcard into its explicit action set. Second, w…

Minimal hypergraph non-jumps
Benedict Randall Shaw
https://arxiv.org/abs/2506.09620 https://arxiv.org/pdf/2506.09620

Minimal hypergraph non-jumps
An $r$-uniform hypergraph, or $r$-graph, has density $|E(G)|/|V(G)^{(r)}|$. We say $α$ is a jump for $r$-graphs if there is some constant $δ=δ(α)$ such that, for each $\varepsilon>0$ and $n\geq r$, any sufficiently large $r$-graph of density at least $\varepsilon$ has a subgraph of order $n$ and density at least $α+δ$. For $r=2$, all $α$ are jumps. For $r\geq 3$, Erdős showed all $[0,\frac{r!}{r^r})$ are jumps, and conjectured all $[0,1)$ are jumps. Since then, a var…

Understanding Human-AI Trust in Education
Griffin Pitts, Sanaz Motamedi
https://arxiv.org/abs/2506.09160 https://arxiv.org/pdf/2506.0…

Understanding Human-AI Trust in Education
As AI chatbots become increasingly integrated in education, students are turning to these systems for guidance, feedback, and information. However, the anthropomorphic characteristics of these chatbots create ambiguity regarding whether students develop trust toward them as they would a human peer or instructor, based in interpersonal trust, or as they would any other piece of technology, based in technology trust. This ambiguity presents theoretical challenges, as interpersonal trust models ma…

Analytic Dilogarithm Identities
Cetin Hakimoglu
https://arxiv.org/abs/2506.10206 https://arxiv.org/pdf/2506.10206

Analytic Dilogarithm Identities
By showing that the ratio of two beta-like integrals equals an integer, new Dilogarithm identities are derived, as well as analytic proofs to conjectured identities. New, non-trivial 2-term and ladder-like Dilogarithm identities are derived about ${Q}[\sqrt{2}]$, ${Q}[\sqrt{5}]$, ${Q}[\sqrt{-7}]$, and ${Q}[\sqrt{3}]$, . This also leads also to a connection between identities ${Q}[\sqrt{13}]$ and ${Q}[\sqrt{3}]$. Single-term and two-term complex Dilogarithm identities are derived, in addition to…

Hochschild Cohomology of Isotropic Grassmannians
Anton Fonarev
https://arxiv.org/abs/2506.09727 https://arxiv.org/pdf/2506.09727

Hochschild Cohomology of Isotropic Grassmannians
We prove that nonspecial isotropic Grassmannians (that is, all isotropic Grassmannians which are neither (co)adjoint nor (co)minuscule, except $\mathsf{OGr}(n-1, 2n+1)$ for $n\geq 4$), are not Hochschild global, thus establishing a conjecture by P. Belmans and M. Smirnov. As a corollary, we conclude that Bott vanishing fails for all these varieties.

from my link log —
Clowns to the left of me, jokers to the right: dissecting and dividing algebraic data structures.
https://personal.cis.strath.ac.uk/conor.mcbride/Dissect.pdf
saved 2025-04-14

Large-charge R\'enyi entropy
Masataka Watanabe
https://arxiv.org/abs/2506.10072 https://arxiv.org/pdf/2506.10072

Large-charge Rényi entropy
The charged (symmetry-resolved) vacuum Rényi entanglement entropy on a disk is computed in the limit of large U(1) global charge for any Rényi index. We show that it behaves universally for a broad class of conformal field theories including the O(2) Wilson-Fisher fixed-point, by using the effective field theory at large global charge. The result establishes one of the first concrete computations of entanglement quantities in strongly-coupled field theories.

Das PDF zu #Knock #5 wird verteilt! #osr

Anomaly Detection for Sensing Security
Stefan Roth, Aydin Sezgin
https://arxiv.org/abs/2506.10718 https://arxiv.org/pdf/2506.10718

Anomaly Detection for Sensing Security
Various approaches in the field of physical layer security involve anomaly detection, such as physical layer authentication, sensing attacks, and anti-tampering solutions. Depending on the context in which these approaches are applied, anomaly detection needs to be computationally lightweight, resilient to changes in temperature and environment, and robust against phase noise. We adapt moving average filters, autoregression filters and Kalman filters to provide predictions of feature vectors th…

Kurdyka-\L ojasiewicz exponent via sqaure parametrization
Wenqing Ouyang
https://arxiv.org/abs/2506.10110 https://arxiv.org/pdf/2506.…

Kurdyka-Łojasiewicz exponent via sqaure parametrization
We consider one of the most common reparameterization techniques, the square transformation. Assuming the original objective function is the sum of a smooth function and a polyhedral function, we study the variational properties of the objective function after reparameterization. In particular, we first study the minimal norm of the subdifferential of the reparameterized objective function. Second, we compute the second subderivative of the reparameterized objective function on a linear subspac…

Last leg on our brief history of NLP (so far) is the advent of large language models with GPT-3 in 2020 and the introduction of learning from the prompt (aka few-shot learning).
T. B. Brown et al. (2020). Language models are few-shot learners. NIPS'20
https://…

Algebraic Limits of Sandpiles
Mikhail Shkolnikov
https://arxiv.org/abs/2506.09912 https://arxiv.org/pdf/2506.09912

Algebraic Limits of Sandpiles
The paper contributes to building algebraic foundations of self-organized criticality answering a previously unsolved question about the limiting structure of the extended sandpile group as well as relating it to another limit at the level of classical sandpile groups with respect to certain monomorphisms, and puts forward a concept of canonical sandpile epimorphisms, drawing an unexpected consequence about the divisibility properties of the numbers of spanning trees on rectangles.

Since @… mentioned big printers, it reminded me to post this I'd spotted - temporary road signs for a concert which are just printed on big plastic sheets and stuck to the yellow/orange metal.

A Plasma Torus Around a Young Low-Mass Star
Luke G. Bouma, Moira M. Jardine
https://arxiv.org/abs/2506.09116 https://arxiv.org/pdf/25…

A Plasma Torus Around a Young Low-Mass Star
A small fraction of red dwarfs younger than 100 million years show structured, periodic optical light curves suggestive of transiting opaque material that corotates with the star. However, the composition, origin, and even the existence of this material are uncertain. The main alternative hypothesis is that these complex periodic variables (CPVs) are explained by complex distributions of bright or dark regions on the stellar surfaces. Here, we present time-series spectroscopy and photometry of …

A note on the boundary Dehn twist of $K3$ surfaces
Yujie Lin
https://arxiv.org/abs/2506.10444 https://arxiv.org/pdf/2506.10444…

A note on the boundary Dehn twist of $K3$ surfaces
By the work of Baraglia-Konno and Kronheimer-Mrowka, the boundary Dehn twist on punctured $K3$ surfaces is nontrivial in the smooth mapping class group relative to boundary. In this short note, we prove that it becomes trivial after abelianization. The proof is based on an obstruction for $\mathrm{Spin}^\mathbb{C}$ families due to Baraglia-Konno and the global Torelli theorem of $K3$ surfaces.

K-Exit for OD-Characterization of the finite Groups
Majid Akbari
https://arxiv.org/abs/2506.09241 https://arxiv.org/pdf/2506.09241

K-Exit for OD-Characterization of the finite Groups
Suppose G is a finite group, and K is a normal solvable subgroup of G. In this paper, we present a powerful method which is called K-Exit. Using this method, we find some members of π(G) that are not members of π(K) and for this purpose, we introduce the tables of K-Exit. This method can be applied to OD-Characterization of the finite Groups

Heute das Wort "Medienzynismus" gelernt, und es ist schon bezeichnend, dass wir in Zeiten leben, in denen wir unterschiedliche Sorten von Zynismus differenzieren müssen.
Es gibt von allem zu viel, zu viele Eissorten, zu viele Shampoosorten, zu viele Kaffeesorten, zu viel Zynismus.

Personal Memories of 50 Years of Quarkonia
John Ellis
https://arxiv.org/abs/2506.10643 https://arxiv.org/pdf/2506.10643

Personal Memories of 50 Years of Quarkonia
The world of particle physics was revolutionised in November 1974 by the discovery of the J/psi particle, the first particle to be identified as a quarkonium state composed of charm quarks and antiquarks. The charmonium interpretation of the J/psi was cemented by the subsequent observations of a spectrum of related c \bar c states, and finally by the discovery of charmed particles in 1976. The discovery of charmonium was followed in 1977 by the discovery of bottomonium mesons and particles cont…

Bubbling of rank two bundles over surfaces
Xuemiao Chen
https://arxiv.org/abs/2506.09614 https://arxiv.org/pdf/2506.09614

Bubbling of rank two bundles over surfaces
In this paper, motivated by the singularity formation of ASD connections in gauge theory, we study an algebraic analogue of the singularity formation of families of rank two holomorphic vector bundles over surfaces. For this, we define a notion of fertile families bearing bubbles and give a characterization of it using the related discriminant. Then we study families that locally form the singularity of the type $\mathcal{O}\oplus \mathcal{I}$ where $\mathcal{I}$ is an ideal sheaf defining poin…

Functional Tensor Regression
Tongyu Li, Fang Yao, Anru R. Zhang
https://arxiv.org/abs/2506.09358 https://arxiv.org/pdf/2506.09358

Functional Tensor Regression
Tensor regression has attracted significant attention in statistical research. This study tackles the challenge of handling covariates with smooth varying structures. We introduce a novel framework, termed functional tensor regression, which incorporates both the tensor and functional aspects of the covariate. To address the high dimensionality and functional continuity of the regression coefficient, we employ a low Tucker rank decomposition along with smooth regularization for the functional m…

Equitable Mechanism Design for Facility Location
Toby Walsh
https://arxiv.org/abs/2506.10460 https://arxiv.org/pdf/2506.10460

Equitable Mechanism Design for Facility Location
We consider strategy proof mechanisms for facility location which maximize equitability between agents. As is common in the literature, we measure equitability with the Gini index. We first prove a simple but fundamental impossibility result that no strategy proof mechanism can bound the approximation ratio of the optimal Gini index of utilities for one or more facilities. We propose instead computing approximation ratios of the complemented Gini index of utilities, and consider how well both d…

A viable wormhole model in a five-dimensional spacetime
Peter K. F. Kuhfittig
https://arxiv.org/abs/2506.09111 https://arxiv.org/pdf/…

A viable wormhole model in a five-dimensional spacetime
This paper generalizes two of the author's earlier wormhole solutions that are characterized by an extra spatial dimension. This paper adds the assumption that the components of the line element are functions not only of the radial coordinate $r$ but of the extra coordinate $l$ as well, resulting in a significant generalization. It is shown that the throat of the wormhole can be threaded with ordinary matter and that the unavoidable violation of the null energy condition can be attributed to th…

On the Impossibility of a Perfect Hypervisor
Mordechai Guri
https://arxiv.org/abs/2506.09825 https://arxiv.org/pdf/2506.09825

On the Impossibility of a Perfect Hypervisor
We establish a fundamental impossibility result for a `perfect hypervisor', one that (1) preserves every observable behavior of any program exactly as on bare metal and (2) adds zero timing or resource overhead. Within this model we prove two theorems. (1) Indetectability Theorem. If such a hypervisor existed, no guest-level program, measurement, or timing test could distinguish it from native execution; all traces, outputs, and timings would be identical. (2) Impossibility Theorem. Despite…

Semi-Tensor-Product Based Convolutional Neural Networks
Daizhan Cheng
https://arxiv.org/abs/2506.10407 https://arxiv.org/pdf/2506.104…

Semi-Tensor-Product Based Convolutional Neural Networks
The semi-tensor product (STP) of vectors is a generalization of conventional inner product of vectors, which allows the factor vectors to of different dimensions. This paper proposes a domain-based convolutional product (CP). Combining domain-based CP with STP of vectors, a new CP is proposed. Since there is no zero or any other padding, it can avoid the junk information caused by padding. Using it, the STP-based convolutional neural network (CNN) is developed. Its application to image and thir…

Positron Signal from the Early Universe
L. Stodolsky, J. Silk
https://arxiv.org/abs/2506.10131 https://arxiv.org/pdf/2506.10131

A non-semisimple Kitaev lattice model
Sebastian Halbig, Ulrich Kr\"ahmer
https://arxiv.org/abs/2506.09249 https://arxiv.org/pdf/…

A non-semisimple Kitaev lattice model
The construction of the topologically protected code space of Kitaev's model for fault-tolerant quantum computation is extended from complex semisimple to arbitrary finite-dimensional Hopf algebras admitting pairs in involution. One input of the model are ribbon graphs, that is, the combinatorial data of cellular decompositions of oriented closed surfaces. The other input are certain Hopf bimodules that are closely related to the coefficients in Hopf-cyclic homology. As in previous generalisati…

The LLLR generalised Langton's ant
Victor Lutfalla
https://arxiv.org/abs/2506.10482 https://arxiv.org/pdf/2506.10482

The LLLR generalised Langton's ant
We present a short note on the dynamics of the LLLR generalised Langton's ant. We describe two different asymptotic behaviours for the LLLR ant.

Study of Venera Spacecraft Trajectories and Wider Implications
Adam Hibberd
https://arxiv.org/abs/2506.09478 https://arxiv.org/pdf/25…

Study of Venera Spacecraft Trajectories and Wider Implications
Historically, there is no doubt that the early years of the USSR space program put them way ahead of the competition (the USA). Nonetheless, although this was not what the Russians wished to present to the world, the interplanetary campaign, centred around missions to the planet Venus (the Venera program) was also beset with difficulties. Many of the early Venera probes failed, despite making it to a heliocentric orbit, but naturally the success rate improved with time. The result is that there…

Ideals generated by corner-interval minors
Marie Amalore Nambi
https://arxiv.org/abs/2506.09618 https://arxiv.org/pdf/2506.09618

Ideals generated by corner-interval minors
In this article, we study binomial ideals generated by an arbitrary collection of corner-interval $2$-minors of a generic matrix. We determine the minimal prime ideals of such ideals and characterize their radicality in the special case of corner minors. Moreover, we discuss connectivity properties of contingency tables in algebraic statistics. We compute the Hilbert-Poincaré polynomial of the ideal generated by the set of all corner-interval minors and we derive the formula for the regularity…

Chains without regularity
Alessandro Della Corte, Marco Farotti
https://arxiv.org/abs/2506.09261 https://arxiv.org/pdf/2506.09261

Chains without regularity
We study chain-recurrence and chain-transitivity in compact dynamical systems without any regularity assumptions. We prove that every compact system has a chain-recurrent point and a closed, invariant, chain-transitive subsystem. We also prove that, in fact, the chain-recurrent point whose existence is established is recurrent with respect to a stronger relation than chain-recurrence, which we identify.

Nonlinear Dynamics of Wind-Drift Currents at Mid-Latitudes
Christian Puntini
https://arxiv.org/abs/2506.10454 https://arxiv.org/pdf/2…

Nonlinear Dynamics of Wind-Drift Currents at Mid-Latitudes
Starting from the Navier-Stokes equation in the $f$-plane approximation, we provide an exact and explicit solution of the governing equations at leading order for fluid flows in the upper layer of the ocean, driven by a wind stress. Such a solution highlights the presence of a mean Ekman current superimposed to trochoidal oscillations and a background geostrophic current.

Affine web of type Q
Linliang Song, Xingyu Wang
https://arxiv.org/abs/2506.09729 https://arxiv.org/pdf/2506.09729

Affine web of type Q
We introduce a new diagrammatic $\Bbbk$-linear monoidal supercategory $QWeb^\bullet$, the affine web supercategory of type $Q$, where $\Bbbk$ is a commutative ring of characteristic not two. This category is the affinization of the web category of type $Q$, originally introduced by Brown and Kujawa. It serves as the type $Q$ analog of the affine web category introduced by Davidson, Kujawa, Muth and Zhu, and independently by Wang and one of the authors. We obtain diagrammatic integral bases for …

A7: An aperiodic set of 7 square dominoes
Vincent Van Dongen
https://arxiv.org/abs/2505.06237 https://arxiv.org/pdf/2505.06237…

A7: An aperiodic set of 7 square dominoes
This paper presents an aperiodic tileset of 7 square dominoes. We call it A7 as it directly relates to the aperiodic set Ammann A3. We start with a description of the tileset. We then present Ammann A3 and its direct link with tileset A7.

A Common Interface for Automatic Differentiation
Guillaume Dalle, Adrian Hill
https://arxiv.org/abs/2505.05542 https://arxiv.org/pdf/…

A Common Interface for Automatic Differentiation
For scientific machine learning tasks with a lot of custom code, picking the right Automatic Differentiation (AD) system matters. Our Julia package DifferentiationInterface.jl provides a common frontend to a dozen AD backends, unlocking easy comparison and modular development. In particular, its built-in preparation mechanism leverages the strengths of each backend by amortizing one-time computations. This is key to enabling sophisticated features like sparsity handling without putting addition…

Mergers of galaxies
Sugata Kaviraj
https://arxiv.org/abs/2506.09136 https://arxiv.org/pdf/2506.09136…

Mergers of galaxies
The evolution of our Universe is strongly influenced by the attractive force of gravity. A key aspect of this evolution, therefore, is the merging of galaxies. Here, we explore the role of mergers in shaping the properties of massive galaxies over cosmic time. Observational methods of finding mergers include identifying galaxy pairs in close proximity, visual inspection of galaxy images to identify signatures of mergers (e.g. tidal features) and using morphological parameters such as Asymmetry …

The twisted constant in Calabi-Yau type equation
Genglong Lin
https://arxiv.org/abs/2506.09639 https://arxiv.org/pdf/2506.09639

The twisted constant in Calabi-Yau type equation
In this paper we establish a necessary and sufficient condition for solving a general class of fully nonlinear elliptic equations on compact almost Hermitian manifolds, extending a recent work of Guo-Song. As applications, we determine the twisted constants in Calabi-Yau type equations, including the classical one, Hessian type one and form type one with gradient terms introduced by Popovici and Tosatti-Weinkove. In particular, it addresses a question raised in a work of Chu-Tosatti-Weinkove \c…

Surface Nematic Quasi-Uniformity
Andrea Pedrini, Epifanio G. Virga
https://arxiv.org/abs/2506.10795 https://arxiv.org/pdf/2506.10795

Surface Nematic Quasi-Uniformity
Line fields on surfaces are a means to describe the nematic order that may pattern them. The least distorted nematic fields are called uniform, but they can only exist on surfaces with negative constant Gaussian curvature. To identify the least distorted nematic fields on a generic surface, we relax the notion of uniformity into that of quasi-uniformity and prove that all such fields are parallel transported (in Levi-Civita's sense) by the geodesics of the surface. Both global and local constru…

Homology manifolds and homogeneous compacta
Vesko Valov
https://arxiv.org/abs/2505.07196 https://arxiv.org/pdf/2505.07196

Homology manifolds and homogeneous compacta
A non-trivial separable metric space $X$ is called an almost homology $n$-manifold if the homology groups $H_k(X,X\backslash\{x\},\mathbb Z)$ are trivial for all $x\in X$ and all $k=0,1,..,n-1$. We provide a necessary and sufficient condition locally compact homogeneous $ANR$-spaces or strongly locally homogeneous $ANR$-spaces to be almost homology $n$-manifolds.

Definitions of the volume of a big cohomology class
Tiernan Cartwright
https://arxiv.org/abs/2506.09486 https://arxiv.org/pdf/2506.09…

Definitions of the volume of a big cohomology class
We elaborate on how two definitions of the volume of a big cohomology class are consistent. The first definition involves taking the absolutely continuous part of a closed positive current, and the second involves the non-pluripolar product. We also describe how a similar equality holds for the numerical restricted volume introduced by Collins and Tosatti.

Extensions of pure C*-algebras
Francesc Perera, Hannes Thiel, Eduard Vilalta
https://arxiv.org/abs/2506.10529 https://arxiv.org/pdf/2…

Extensions of pure C*-algebras
Given a closed ideal $I$ in a C*-algebra $A$, we show that $A$ is pure if and only if $I$ and $A/I$ are pure. More generally, we study permanence of comparison and divisibility properties when passing to extensions. As an application we show that stable multiplier algebras of reduced free group C*-algebras are pure.

Finitary conditions for graph products of monoids
Dandan Yang, Victoria Gould
https://arxiv.org/abs/2506.10603 https://arxiv.org/pdf/…

Finitary conditions for graph products of monoids
Graph products of monoids provide a common framework for free products and direct products. Trace monoids are graph products of finitely generated free monoids. We investigate the interaction of certain finitary conditions with graph products. Specifically, we examine the conditions of being weakly left noetherian (that is, every left ideal is finitely generated) and weakly left coherent (that is, every finitely generated left ideal has a finite presentation) and the related conditions of the a…

Newsom_V_Trump.pdf
file:///E:/STUFF/NEW STUFF/____VICTORIAN MOURNING AND OTHER GOODS/Newsom_V_Trump.pdf

Historia de la Cirugía, Irissari Secot
#medicina #filosofia #historia

Adversarial Surrogate Risk Bounds for Binary Classification
Natalie S. Frank
https://arxiv.org/abs/2506.09348 https://arxiv.org/pdf/2…

Adversarial Surrogate Risk Bounds for Binary Classification
A central concern in classification is the vulnerability of machine learning models to adversarial attacks. Adversarial training is one of the most popular techniques for training robust classifiers, which involves minimizing an adversarial surrogate risk. Recent work characterized when a minimizing sequence of an adversarial surrogate risk is also a minimizing sequence of the adversarial classification risk for binary classification -- a property known as adversarial consistency. However, thes…

Quantifying imaginarity of quantum operations
Chuanfa Wu, Zhaoqi Wu
https://arxiv.org/abs/2506.09747 https://arxiv.org/pdf/2506.09747…

Quantifying imaginarity of quantum operations
Complex numbers are theoretically proved and experimentally confirmed as necessary in quantum mechanics and quantum information, and a resource theory of imaginarity of quantum states has been established. In this work, we establish a framework to quantify the imaginarity of quantum operations from the perspective of the ability to create or detect imaginarity, following the idea by Theurer {\it et al.} [Phys. Rev. Lett. \textbf{122}, 190405 (2019)] used in coherence theory. We present two type…

Deza Cayley graphs from difference sets
Grigory Ryabov
https://arxiv.org/abs/2506.10440 https://arxiv.org/pdf/2506.10440

Deza Cayley graphs from difference sets
In this note, we provide several constructions of Deza Cayley graphs over groups having a generalized dihedral subgroup. These constructions are based on a usage of (relative) difference sets.

Fast Ramanujan--type Series for Logarithms. Part II
Jorge Zuniga
https://arxiv.org/abs/2506.10321 https://arxiv.org/pdf/2506.10321

Fast Ramanujan--type Series for Logarithms. Part II
This work extends the results of the preprint Ramanujan type Series for Logarithms, Part I, arXiv:2506.08245, which introduced single hypergeometric type identities for the efficient computing of $\log(p)$, where $p\in\mathbb{Z}_{>1}$. We present novel formulas for arctangents and methods for a very fast multiseries evaluation of logarithms. Building upon a $\mathcal{O}((p-1)^{6})$ Ramanujan type series asymptotic approximation for $\log(p)$ as $p\rightarrow1$, formulas for computing $n$ simult…

Equivariant CM minimization for extremal manifolds
Gabriel Frey
https://arxiv.org/abs/2506.10679 https://arxiv.org/pdf/2506.10679

Equivariant CM minimization for extremal manifolds
We prove an equivariant version of the CM minimization conjecture for extremal Kähler manifolds. This involves proving that, given an equivariant punctured family of polarized varieties, a relative version of the CM degree is strictly minimized by an extremal filling. This generalizes a result by Hattori for cscK manifolds with discrete automorphism group by allowing automorphisms and extremal metrics. As a main tool, we extend results by Székelyhidi on asymptotic filtration Chow stability …

On Chaos in QFT
Jacob Sonnenschein, Nadav Shrayer
https://arxiv.org/abs/2506.10784 https://arxiv.org/pdf/2506.10784

On Chaos in QFT
In this note we explore the chaotic behavior of non-integrable QFTs and compare them to integrable ones. We choose as prototypes the double sine-Gordon and the sine-Gordon models. We analyze their discrete spectrum determined by a truncation method. We examine the map of the corresponding energy eigenvalues to the eigenvalues of the random matrix theory (RMT) Gaussian orthogonal ensemble (GOE). This is done by computing the following properties: (a) The distribution of the adjacent spacings and…

Radon Transforms and the SYK model
Michael Stone
https://arxiv.org/abs/2506.09880 https://arxiv.org/pdf/2506.09880

Radon Transforms and the SYK model
Motivated by recent work on the Sachdev-Ye-Kitaev (SYK) model, we consider the effect of Radon or X-ray transformations, on the Laplace eigenfunctions in hyperbolic Bolyai-Lobachevsky space. We show that the Radon map from this space to Lorentzian-signature Anti-de Sitter or de Sitter space is easier to interpret if we use the Poincare disc model and eigenfunctions rather than the upper-half-plane model. In particular, this version of the transform reveals the geometric origin of the boundary c…

Visual metrics on boundaries of hyperbolic spaces
Emily Stark
https://arxiv.org/abs/2506.10108 https://arxiv.org/pdf/2506.10108

Visual metrics on boundaries of hyperbolic spaces
This is an expository article on visual metrics on boundaries of hyperbolic metric spaces. We discuss the construction of visual metrics, quasisymmetries and their invariants, Hausdorff and conformal dimension, and constructions and applications of Gromov's round trees. There is a focus on providing examples throughout. These notes are based on the material of a minicourse given by the author at the 2024 Riverside Workshop in Geometric Group Theory.

Pervasive ellipticity in locally compact groups
Alexandru Chirvasitu
https://arxiv.org/abs/2506.09642 https://arxiv.org/pdf/2506.0964…

Pervasive ellipticity in locally compact groups
A topological group is (openly) almost-elliptic if it contains a(n open) dense subset of elements generating relatively-compact cyclic subgroups. We classify the (openly) almost-elliptic connected locally compact groups as precisely those with compact maximal semisimple quotient and whose maximal compact subgroups act trivial-weight-freely on the Euclidean quotients of the closed derived series' successive layers. In particular, an extension of a compact connected group $\mathbb{K}$ by a connec…

New resonances at LHC
Alain Le Yaouanc, Fran\c{c}ois Richard
https://arxiv.org/abs/2506.09490 https://arxiv.org/pdf/2506.09490…

New resonances at LHC
Due to the large QCD background, the tt spectroscopy is poorly doing at LHC with the exception of a toponium type candidate observed with high statistical significance by CMS. Our previous work offers an alternate interpretation of this narrow resonance as a Kaluza Klein graviton. For heavy scalars, following ATLAS, we describe how the top loop contribution to the gluon-gluon fusion mechanisms could produce a dip rather than a bump in the mass distribution, which further complicates searches fo…

The mirror map and other natural tangent tensors
R. Albuquerque
https://arxiv.org/abs/2506.10881 https://arxiv.org/pdf/2506.10881

The mirror map and other natural tangent tensors
We review the intrinsic geometry of the tangent bundle of a differentiable manifold $M$, aside from any non-natural structures. We recall the properties of the mirror map $B\in\mathrm{End}(TTM)$, known also as the canonical endomorphism or the almost-tangent structure, solve some cohomological questions and raise other induced by the $\mathrm{d}_B$ operator.

Wasserstein Distances on Quantum Structures: an Overview
Emily Beatty
https://arxiv.org/abs/2506.09794 https://arxiv.org/pdf/2506.097…

Wasserstein Distances on Quantum Structures: an Overview
The theory of optimal transport of probability measures has wide-ranging applications across a number of different fields, including concentration of measure, machine learning, Markov chains, and economics. The generalisation of optimal transport tools from probability measures to quantum states has shown great promise over the last few years, particularly in the development of the theory of Wasserstein-style distances and divergences between quantum states. Such distances have already led to a…

Cohomological support varieties under local homomorphisms
Ryan Watson
https://arxiv.org/abs/2506.10757 https://arxiv.org/pdf/2506.107…

Cohomological support varieties under local homomorphisms
Given a bounded complex of finitely generated modules $M$ over a commutative noetherian local ring $R$, one assigns to it a variety, $\mathcal V_R(M)$, called the cohomological support variety of $M$ over $R$. The variety $\mathcal V_R(M)$ holds important homological information about the complex and the ring. In this paper, we study the behavior of cohomological support varieties under restriction of scalars along local maps. In the case where the rings involved are complete intersections and …

A panoramic view of exponential attractors
Radoslaw Czaja, Stefanie Sonner
https://arxiv.org/abs/2506.10388 https://arxiv.org/pdf/250…

A panoramic view of exponential attractors
We state necessary and sufficient conditions for the existence of $T$-discrete exponential attractors for semigroups in complete metric spaces. These conditions are formulated in terms of a covering condition for iterates of the absorbing set under the time evolution of the semigroup and imply the existence and finite-dimensionality of the global attractor. We then review, generalize and compare existing construction methods for exponential attractors and show that they all imply the covering c…

Formation of stationary interfaces in the fast reaction limit
Yuki Tsukamoto
https://arxiv.org/abs/2506.09716 https://arxiv.org/pdf/2…

Formation of stationary interfaces in the fast reaction limit
We study a two-component reaction-diffusion system in which one of the reaction terms becomes singularly large. Assuming that the initial data are nonnegative and mutually segregated, we prove that the solution converges to that of the heat equation in the nonreactive region, while it remains zero elsewhere. The analysis is based on explicitly constructed barrier functions and a comparison argument adapted to systems with asymmetric reaction terms, which together provide control near the interf…

Graham positivity of triple Schubert calculus
Yibo Gao, Rui Xiong
https://arxiv.org/abs/2506.09421 https://arxiv.org/pdf/2506.09421…

Graham positivity of triple Schubert calculus
We prove Samuel's conjecture on certain Graham positivity of the expansion coefficient of two double Schubert polynomials in three sets of variables by establishing a refined version of Graham's positivity theorem. As a corollary, we prove Kirillov's conjecture on the positivity of skew divided difference operators applied to Schubert polynomials.

re-reading phil rogaway’s notes on radical cs
https://web.cs.ucdavis.edu/~rogaway/papers/radical.pdf

Note on the negative base xor sequence $n\oplus_{-b}(-n)$
H A Verrill
https://arxiv.org/abs/2506.09509 https://arxiv.org/pdf/2506.095…

Note on the negative base xor sequence $n\oplus_{-b}(-n)$
We prove a relationship between certain integer expressions involving operators similar to the binary exclusive or. This gives a proof and generalization of a result conjectured about sequence A178729 in Sloane's Online Encyclopedia of Integer Sequences. We use transducers to prove this result.

Deligne 1-motives with torsion and \'etale motives
Rapha\"el Ruimy
https://arxiv.org/abs/2506.10637 https://arxiv.org/pdf/25…

Deligne 1-motives with torsion and étale motives
We construct the motivic t-structure on 1-motives with integral coefficients over a scheme of characteristic zero or a Dedekind scheme. When we invert the residue characteristic exponents of the base, this t-structure induces a t-structure on the category of smooth 1-motives whose heart is the category of Deligne 1-motives with torsion which we prove to be abelian. This relies on the fact that over a normal scheme, Deligne 1-motives with torsion are determined by their fiber on the generic poin…

$x-y$ swap for $(2,2p 1)$ minimal string
Aleksandr Artemev
https://arxiv.org/abs/2506.09222 https://arxiv.org/pdf/2506.09222

$x-y$ swap for $(2,2p+1)$ minimal string
We continue the study of 2D gravity -- ``matrix model'' duality on the example of $(2,2p+1)$ minimal string. We propose a reformulation of the duality, related to a more conventional one by ``$x-y$ swap'' in the language of topological recursion. This formulation elucidates some conceptual and technical difficulties in the dictionary of the duality and relation to other examples. In particular, it allows to circumvent the necessity to use ``resonance transformations'', that were previously intr…

Virasoro constraints for Hodge integrals
Xin Wang
https://arxiv.org/abs/2506.10033 https://arxiv.org/pdf/2506.10033

Virasoro constraints for Hodge integrals
The purpose of this paper is to study Virasoro constraints for Hodge integrals in Gromov-Witten theory of any target varieties. Results consist of the following: Firstly, we propose Virasoro conjecture for Hodge integrals in Gromov-Witten theory of any target varieties; Secondly, we prove Virasoro constraints for Hodge integrals in genus zero of any target varieties; Thirdly, we prove the genus-1 $L_1^{\mathbb{E}}$ constraint with one Hodge character class insertion for any target varieties; La…

Arnold Strangeness of Surface Immersions
Noboru Ito, Hiroki Mizuno
https://arxiv.org/abs/2506.10457 https://arxiv.org/pdf/2506.10457

Arnold Strangeness of Surface Immersions
For any smooth sphere eversion, the number of quadruple point jumps is always odd. In this paper, we introduce a function that detects the first quadruple point jump as the eversion starts. The invariant is a higher-dimensional analogue of Arnold strangeness invariant for plane curves.

Asymptotic Fate of Continuously Monitored Quantum Systems
Finn Schmolke
https://arxiv.org/abs/2506.10873 https://arxiv.org/pdf/2506.1…

Asymptotic Fate of Continuously Monitored Quantum Systems
A quantum trajectory is the natural response of a quantum system subject to external perturbations due to continuous indirect measurement. We completely characterize the asymptotic behavior of continuously monitored quantum systems in finite dimensions and show that generically, spontaneous irreversible localization transitions on the level of individual realizations occur, where the evolution becomes effectively constrained to one of the irreducible components of the total Hilbert space. More …

Exotic multistrange-anticharm baryon systems
Jing Song, Eulogio Oset
https://arxiv.org/abs/2506.09262 https://arxiv.org/pdf/2506.0926…

Exotic multistrange-anticharm baryon systems
We study exotic baryon systems composed of anticharmed mesons and strange baryons using the extended local hidden gauge approach. By solving the coupled-channel Bethe-Salpeter equation with interaction kernels from vector meson exchange, we explore the formation of hadronic molecular states in sectors with strangeness $S = -1$, $-2$, $-3$ and $-4$. A bound state with a mass of 2888 MeV is found in the $S = -1$ sector with the channels $\bar{D}_s N, ~\bar{D} Λ, ~\bar{D} Σ$. In the $S = -2$ sec…

A counter example for the Homogeneity Conjecture
Ming Xu, Shaoqiang Deng
https://arxiv.org/abs/2506.09471 https://arxiv.org/pdf/2506.…

A counter example for the Homogeneity Conjecture
We construct a counter example to show that the Homogeneity Conjecture, first proposed by J.A. Wolf in 1962, is not true. To be precise, we prove that on the Lie group Sp(2), there exists a left invariant Riemannian metric and a cyclic subgroup Γ of order (2n+1), such that the left translation of each element of Γ on Sp(2) is a Clifford-Wolf translation, but the Riemannian quotient Γ\Sp(2) is not homogeneous.

On the $4$-clique cover number of graphs
Yihan Chen, Jialin He, Tianying Xie
https://arxiv.org/abs/2506.10478 https://arxiv.org/pdf/2…

On the $4$-clique cover number of graphs
In 1966, Erdős, Goodman, and Pósa proved that $\lfloor n^2/4 \rfloor$ cliques are sufficient to cover all edges in any $n$-vertex graph, with tightness achieved by the balanced complete bipartite graph. This result was generalized by Dau, Milenkovic, and Puleo, who showed that at most $\lfloor \frac n 3 \rfloor \lfloor \frac {n+1} 3 \rfloor \lfloor \frac {n+2} 3 \rfloor$ cliques are needed to cover all triangles in any $n$-vertex graph $G$, and the bound is best possible as witnessed by the b…

Relative Inverse Limit Perfection of Derived Commutative Rings
Daniel Fink
https://arxiv.org/abs/2506.10626 https://arxiv.org/pdf/250…

Relative Inverse Limit Perfection of Derived Commutative Rings
We study the relative Frobenius map associated with a map of derived commutative rings over a field of positive characteristic. As part of this, we examine a relative analog of perfectness and construct a relative inverse limit perfection which, under suitable conditions on the base, serves as a right adjoint to the inclusion of relatively perfect algebras into the category of all algebras. Specializing to animated rings, we investigate relative versions of semiperfectness and F-finiteness, and…

Towards the $p$-adic derived Hecke algebra for weight one forms
Robin Zhang
https://arxiv.org/abs/2506.09139 https://arxiv.org/pdf/25…

Towards the $p$-adic derived Hecke algebra for weight one forms
This note outlines an approach to defining $p$-adic Shimura classes and $p$-adic derived Hecke operators on the completed cohomology of modular curves from upcoming work by the author. After reviewing the modulo-$p$ constructions of Harris and Venkatesh, we formulate a conjecture relating the action of $p$-adic derived Hecke operators on cusp forms of weight $1$ and level $Γ_1(N)$ to the $p$-adic logarithm of the Stark unit for the corresponding adjoint Deligne-Serre representation. This new $…

Geometric and Hodge-theoretic completion of period mappings
Haohua Deng
https://arxiv.org/abs/2506.10109 https://arxiv.org/pdf/2506.1…

Geometric and Hodge-theoretic completion of period mappings
Given a period map defined over a quasi-projective variety, we construct a completion with rich geometric and Hodge-theoretic meaning. This result may be regarded as an analog of Mumford's toroidal compactification for locally symmetric Hodge varieties as well as a realizable alternative of Kato--Nakayama--Usui's construction. As an application, we give an alternative proof on the algebraicity of weakly special subvarieties.

Generalized Symmetries in Shallow Water
V. Taghiloo, M. H. Vahidinia
https://arxiv.org/abs/2506.09190 https://arxiv.org/pdf/2506.0919…

Generalized Symmetries in Shallow Water
Recent developments have extended the concept of global symmetries in several directions, offering new perspectives across a wide range of physical systems. This work shows that generalized global symmetries naturally emerge in shallow water systems. In particular, we demonstrate that both global and gauge subsystem symmetries-previously studied primarily in exotic field theories-arise intrinsically in the dynamics of shallow water flows. A central result is that the local conservation of poten…

Optimal quantum metrology under energy constraints
Longyun Chen, Yuxiang Yang
https://arxiv.org/abs/2506.09436 https://arxiv.org/pdf/…

Optimal quantum metrology under energy constraints
Quantum metrology promises enhanced precision in parameter estimation by exploiting quantum effects. The traditional framework of metrology commonly assumes unlimited access to resources, overlooking resource constraints in realistic scenarios. As such, the optimal strategies therein are often infeasible in practice. Here, we investigate quantum metrology where the total energy consumption of the probe state preparation, intermediate control operations, and the final measurement is subject to a…

Lieb's Theorem for Bose Hubbard Models
Zhong-Chao Wei, Chong Zhao
https://arxiv.org/abs/2506.10319 https://arxiv.org/pdf/2506.103…

Lieb's Theorem for Bose Hubbard Models
Using a cone-theoretical method, we prove the uniqueness of the ground state for two Bose Hubbard models. The first model is the usual Bose Hubbard model with real hopping coefficients and attractive interactions. The second model is a two-component Bose Hubbard model. Under certain conditions, we show that the ground state in the subspace with particle number $N=2n$($n$ is a positive integer) is unique for both models. For the second model, we show that the ground state has spin along the z-ax…

CFMI: Flow Matching for Missing Data Imputation
Vaidotas Simkus, Michael U. Gutmann
https://arxiv.org/abs/2506.09258 https://arxiv.or…

CFMI: Flow Matching for Missing Data Imputation
We introduce conditional flow matching for imputation (CFMI), a new general-purpose method to impute missing data. The method combines continuous normalising flows, flow-matching, and shared conditional modelling to deal with intractabilities of traditional multiple imputation. Our comparison with nine classical and state-of-the-art imputation methods on 24 small to moderate-dimensional tabular data sets shows that CFMI matches or outperforms both traditional and modern techniques across a wide…

Two coincidences are a clue: Probing a GeV-scale dark QCD sector
Yi Chung
https://arxiv.org/abs/2506.10928 https://arxiv.org/pdf/2506…

Two coincidences are a clue: Probing a GeV-scale dark QCD sector
The similarity between dark matter and baryon energy densities suggests the existence of a dark sector analogous to the visible QCD sector. In addition, small-scale structure issues can be addressed by dark matter self-interactions with a cross section comparable to that of QCD. Both observations point to a GeV-scale dark QCD sector. In this letter, guided by these two coincidences, we investigate how a chiral dark QCD model with a MeV-scale dark photon can resolve the core-cusp problem. A pote…

The capillary Gauss curvature flow
Xinqun Mei, Guofang Wang, Liangjun Weng
https://arxiv.org/abs/2506.09840 https://arxiv.org/pdf/250…

The capillary Gauss curvature flow
In this article, we first introduce a Gauss curvature type flow for capillary hypersurfaces, which we call capillary Gauss curvature flow. We then show that the flow will shrink to a point in finite time. This is a capillary counterpart (or Robin boundary counterpart) of Firey's problem studied in [Mathematika 21 (1974), pp. 1-11] and Tso [Comm. Pure Appl. Math. 38 (1985), no. 6, 867-882]. Finally, we prove that its normalized flow converges to a soliton. This is a capillary counterpart of the …

Ordinarization numbers of numerical semigroups
Sogol Cyrusian, Nathan Kaplan
https://arxiv.org/abs/2506.10222 https://arxiv.org/pdf/2…

Ordinarization numbers of numerical semigroups
There has been significant recent interest in studying how the number of numerical semigroups of genus $g$ behaves as a function of $g$. Bras-Amorós has shown how to organize the collection of numerical semigroups of genus $g$ into a rooted tree called the ordinarization tree. The ordinarization number of a numerical semigroup $S$ is the length of the path from $S$ back to the root of the tree. We study the problem of counting numerical semigroups of genus $g$ with a fixed ordinarization numbe…

Update on Algorithms for Carmichael numbers
Andrew Shallue, Jonathan Webster
https://arxiv.org/abs/2506.09903 https://arxiv.org/pdf/2…

Update on Algorithms for Carmichael numbers
In this note, we present progress on determining the computational complexity of tabulating all Carmichael numbers less than some bound $B$. We implemented a new tabulation algorithm which we describe here. In lieu of providing an asymptotic analysis of that algorithm, we show a second related algorithm that we claim is optimal under two believable conjectures.

Unobstructed deformations for singular Calabi-Yau varieties
Robert Friedman
https://arxiv.org/abs/2506.09857 https://arxiv.org/pdf/25…

Unobstructed deformations for singular Calabi-Yau varieties
Let $Y$ be a compact Gorenstein analytic space with only isolated singularities and trivial dualizing sheaf. A recent paper of Imagi studies the deformation theory of $Y$ in case the singularities of $Y$ are weighted homogeneous and rational and $Y$ is Kähler. In this note, assuming that $H^1(Y;\mathcal{O}_Y) =0$, we generalize Imagi's results to the case where the singularities of $Y$ are Du Bois, with no assumption that they be weighted homogeneous, and where the Kähler assumption is replac…

Holography for QCD(Adj) and QCD(Adj) F
Anja Alfano, Nick Evans, Wanxiang Fan
https://arxiv.org/abs/2506.09456 https://arxiv.org/pdf/2…

Holography for QCD(Adj) and QCD(Adj)+F
We discuss confinement and chiral symmetry breaking in SU(Nc) gauge theories with fermions in the adjoint representation. There has been considerable work on studying these theories compactified on a small circle (with compactification scale 1/L large relative to the strong coupling scale of the theory). The weakly coupled IR theory of photons exhibits confinement through a density of magnetically charged instanton configurations. As the compactification scale 1/L approaches the strong coupling…

Baryon and Meson Excited States
L. David Roper (VTech), Igor Strakovsky (GWU)
https://arxiv.org/abs/2506.10646 https://arxiv.org/pdf/…

Baryon and Meson Excited States
The masses of fifteen baryon sets and twenty-four meson sets of three or more equal-quantum excited states are fitted by a simple two-parameter logarithm function, $M_n = αLn(n) + β$, where $n$ is the level of radial excitation. The conjecture is made that accurately measured masses using Breat-Wigner PDG2024 data at fixed $J^P$ for baryons and $J^{PC}$ for mesons of all equal-quantum baryons (including LHCb exotic $P_{c\bar{c}}^+$s) and meson (including $s\bar{s}$, $s\bar{c}$, $c\bar{c}$, $c…

On the stability of the generalized equator map
Volker Branding, Anna Siffert
https://arxiv.org/abs/2506.10652 https://arxiv.org/pdf/…

On the stability of the generalized equator map
The energy, the $p$-energy ($p\in\mathbb{R}$ with $p\geq 2$) and the extrinsic $k$-energy ($k\in\mathbb{N}$) for maps between Riemannian manifolds are central objects in the geometric calculus of variations. The equator map from the unit ball to the Euclidean sphere provides an explicit critical point of all aforementioned energy functionals. During the last four decades many researchers studied the stability of this particular map when considered as a critical point of one of these energy func…

Robust Noise Attenuation via Adaptive Pooling of Transformer Outputs
Greyson Brothers
https://arxiv.org/abs/2506.09215 https://arxiv.…

Robust Noise Attenuation via Adaptive Pooling of Transformer Outputs
We investigate the design of pooling methods used to summarize the outputs of transformer embedding models, primarily motivated by reinforcement learning and vision applications. This work considers problems where a subset of the input vectors contains requisite information for a downstream task (signal) while the rest are distractors (noise). By framing pooling as vector quantization with the goal of minimizing signal loss, we demonstrate that the standard methods used to aggregate transformer…

On a few pitfalls in KL divergence gradient estimation for RL
Yunhao Tang, R\'emi Munos
https://arxiv.org/abs/2506.09477 https://…

On a few pitfalls in KL divergence gradient estimation for RL
We point out a few pitfalls in implementing gradient estimation for KL divergence in RL training for LLM, as seen in a number of open source projects and papers. The first major pitfall is to differentiate through the KL estimate as loss functions to minimize KL divergence. We show that such implementations are generally incorrect and do not produce the desired KL gradient. Secondly, we show that some implementations do not account for the sequential nature of the estimation problem and produce…

Neural Functions for Learning Periodic Signal
Woojin Cho, Minju Jo, Kookjin Lee, Noseong Park
https://arxiv.org/abs/2506.09526 https://

Neural Functions for Learning Periodic Signal
As function approximators, deep neural networks have served as an effective tool to represent various signal types. Recent approaches utilize multi-layer perceptrons (MLPs) to learn a nonlinear mapping from a coordinate to its corresponding signal, facilitating the learning of continuous neural representations from discrete data points. Despite notable successes in learning diverse signal types, coordinate-based MLPs often face issues of overfitting and limited generalizability beyond the train…

Mitigating Spurious Correlations in LLMs via Causality-Aware Post-Training
Shurui Gui, Shuiwang Ji
https://arxiv.org/abs/2506.09433 https://

Mitigating Spurious Correlations in LLMs via Causality-Aware Post-Training
While large language models (LLMs) have demonstrated remarkable capabilities in language modeling, recent studies reveal that they often fail on out-of-distribution (OOD) samples due to spurious correlations acquired during pre-training. Here, we aim to mitigate such spurious correlations through causality-aware post-training (CAPT). By decomposing a biased prediction into two unbiased steps, known as \textit{event estimation} and \textit{event intervention}, we reduce LLMs' pre-training biases…

mLaSDI: Multi-stage latent space dynamics identification
William Anderson, Kevin Chung, Youngsoo Choi
https://arxiv.org/abs/2506.09207 https://

mLaSDI: Multi-stage latent space dynamics identification
Determining accurate numerical solutions of partial differential equations (PDEs) is an important task in many scientific disciplines. However, solvers can be computationally expensive, leading to the development of reduced-order models (ROMs). Recently, Latent Space Dynamics Identification (LaSDI) was proposed as a data-driven, non-intrusive ROM framework. LaSDI compresses the training data using an autoencoder and learns a system of user-chosen ordinary differential equations (ODEs), which go…

STOAT: Spatial-Temporal Probabilistic Causal Inference Network
Yang Yang, Du Yin, Hao Xue, Flora Salim
https://arxiv.org/abs/2506.09544 https://

STOAT: Spatial-Temporal Probabilistic Causal Inference Network
Spatial-temporal causal time series (STC-TS) involve region-specific temporal observations driven by causally relevant covariates and interconnected across geographic or network-based spaces. Existing methods often model spatial and temporal dynamics independently and overlook causality-driven probabilistic forecasting, limiting their predictive power. To address this, we propose STOAT (Spatial-Temporal Probabilistic Causal Inference Network), a novel framework for probabilistic forecasting in …

Policy-Based Trajectory Clustering in Offline Reinforcement Learning
Hao Hu, Xinqi Wang, Simon Shaolei Du
https://arxiv.org/abs/2506.09202 https://

Policy-Based Trajectory Clustering in Offline Reinforcement Learning
We introduce a novel task of clustering trajectories from offline reinforcement learning (RL) datasets, where each cluster center represents the policy that generated its trajectories. By leveraging the connection between the KL-divergence of offline trajectory distributions and a mixture of policy-induced distributions, we formulate a natural clustering objective. To solve this, we propose Policy-Guided K-means (PG-Kmeans) and Centroid-Attracted Autoencoder (CAAE). PG-Kmeans iteratively trains…

Revisiting Diffusion Models: From Generative Pre-training to One-Step Generation
Bowen Zheng, Tianming Yang
https://arxiv.org/abs/2506.09376 https://

Revisiting Diffusion Models: From Generative Pre-training to One-Step Generation
Diffusion distillation is a widely used technique to reduce the sampling cost of diffusion models, yet it often requires extensive training, and the student performance tends to be degraded. Recent studies show that incorporating a GAN objective may alleviate these issues, yet the underlying mechanism remains unclear. In this work, we first identify a key limitation of distillation: mismatched step sizes and parameter numbers between the teacher and the student model lead them to converge to di…