Tootfinder

Convergence of linear programming hierarchies for Gibbs states of spin systems
Hamza Fawzi, Omar Fawzi
https://arxiv.org/abs/2506.06125 https://

Convergence of linear programming hierarchies for Gibbs states of spin systems
We consider the problem of computing expectation values of local functions under the Gibbs distribution of a spin system. In particular, we study two families of linear programming hierarchies for this problem. The first hierarchy imposes local spin flip equalities and has been considered in the bootstrap literature in high energy physics. For this hierarchy, we prove fast convergence under a spatial mixing (decay of correlations) condition. This condition is satisfied for example above the cri…

Partial Compositeness: from Anarchy to Symmetry
Kaustubh Agashe, Lorenzo Ricci, Raman Sundrum
https://arxiv.org/abs/2507.05332 https://

Partial Compositeness: from Anarchy to Symmetry
Within the Composite Higgs paradigm, Partial Compositeness has emerged as an elegant mechanism for generating large flavor hierarchies such as are observed in the quark and lepton masses and mixings. This mechanism exploits the strong renormalization group effects of the compositeness dynamics when these are {\it not} flavor-symmetric. Despite its remarkable properties, at this point it is stringently constrained by the body of flavor- and CP-violation tests, so that the compositeness scale mus…

Replaced article(s) found for stat.OT. https://arxiv.org/list/stat.OT/new
[1/1]:
- Producing treatment hierarchies in network meta-analysis using probabilistic models and treatment...
Theodoros Evrenoglou, Adriani Nikolakopoulou, Guido Schwarzer, Gerta R\"ucker, Anna Chaimani
…

Low degree sum-of-squares bounds for the stability number: a copositive approach
Luis Felipe Vargas, Juan C. Vera, Peter J. C. Dickinson
https://arxiv.org/abs/2509.04949 https:/…

Low degree sum-of-squares bounds for the stability number: a copositive approach
The stability number of a graph $G$, denoted as $α(G)$, is the maximum size of an independent (stable) set in $G$. Semidefinite programming (SDP) methods, which originated from Lovász's theta number and expanded through lift-and-project hierarchies as well as sums of squares (SOS) relaxations, provide powerful tools for approximating $α(G)$. We build upon the copositive formulation of $α(G)$ and introduce a novel SDP-based hierarchy of inner approximations to the copositive cone COP$_n$, …

Replaced article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[2/5]:
- Control Illusion: The Failure of Instruction Hierarchies in Large Language Models
Geng, Li, Mu, Han, Baldwin, Abend, Hovy, Frermann

Some Applications and Limitations of Convex Optimization Hierarchies for Discrete and Continuous Optimization Problems
Mrinalkanti Ghosh
https://arxiv.org/abs/2508.21327 https:/…

Some Applications and Limitations of Convex Optimization Hierarchies for Discrete and Continuous Optimization Problems
This thesis explores algorithmic applications and limitations of convex relaxation hierarchies for approximating some discrete and continuous optimization problems. - We show a dichotomy of approximability of constraint satisfaction problems (CSPs) by linear programming (LP) relaxations: for every CSP, the approximation obtained by a basic LP relaxation, is no weaker than the approximation obtained using relaxations given by super-constant levels of the Sherali-Adams hierarchy on instances of…

DOBB-BVH: Efficient Ray Traversal by Transforming Wide BVHs into Oriented Bounding Box Trees using Discrete Rotations
Michael A. Kern, Alain Galvan, David Oldcorn, Daniel Skinner, Rohan Mehalwal, Leo Reyes Lozano, Matth\"aus G. Chajdas
https://arxiv.org/abs/2506.22849

DOBB-BVH: Efficient Ray Traversal by Transforming Wide BVHs into Oriented Bounding Box Trees using Discrete Rotations
Oriented bounding box (OBB) bounding volume hierarchies offer a more precise fit than axis-aligned bounding box hierarchies in scenarios with thin elongated and arbitrarily rotated geometry, enhancing intersection test performance in ray tracing. However, determining optimally oriented bounding boxes can be computationally expensive and have high memory requirements. Recent research has shown that pre-built hierarchies can be efficiently converted to OBB hierarchies on the GPU in a bottom-up pa…

High-Order Deep Meta-Learning with Category-Theoretic Interpretation
David H. Mguni
https://arxiv.org/abs/2507.02634 https://arxiv.or…

High-Order Deep Meta-Learning with Category-Theoretic Interpretation
We introduce a new hierarchical deep learning framework for recursive higher-order meta-learning that enables neural networks (NNs) to construct, solve, and generalise across hierarchies of tasks. Central to this approach is a generative mechanism that creates \emph{virtual tasks} -- synthetic problem instances designed to enable the meta-learner to learn \emph{soft constraints} and unknown generalisable rules across related tasks. Crucially, this enables the framework to generate its own infor…

Soliton hierarchies associated with Lie algebra sp(6)
Yanhui Bi, Yuqi Ruan, Bo Yuan, Tao Zhang
https://arxiv.org/abs/2507.00559 https://

Soliton hierarchies associated with Lie algebra sp(6)
In this paper, by selecting appropriate spectral matrices within the loop algebra of symplectic Lie algebra sp(6), we construct two distinct classes of integrable soliton hierarchies. Then, by employing the Tu scheme and trace identity, we derive the Hamiltonian structures of the aforementioned two classes of integrable systems. From these two classes of integrable soliton hierarchies, we select one particular hierarchy and employ the Kronecker product to construct an integrable coupling system.

ManifoldMind: Dynamic Hyperbolic Reasoning for Trustworthy Recommendations
Anoushka Harit, Zhongtian Sun, Suncica Hadzidedic
https://arxiv.org/abs/2507.02014

ManifoldMind: Dynamic Hyperbolic Reasoning for Trustworthy Recommendations
We introduce ManifoldMind, a probabilistic geometric recommender system for exploratory reasoning over semantic hierarchies in hyperbolic space. Unlike prior methods with fixed curvature and rigid embeddings, ManifoldMind represents users, items, and tags as adaptive-curvature probabilistic spheres, enabling personalised uncertainty modeling and geometry-aware semantic exploration. A curvature-aware semantic kernel supports soft, multi-hop inference, allowing the model to explore diverse concep…

Why Are Parsing Actions for Understanding Message Hierarchies Not Random?
Daichi Kato, Ryo Ueda, Yusuke Miyao
https://arxiv.org/abs/2506.22366 https://

Why Are Parsing Actions for Understanding Message Hierarchies Not Random?
If humans understood language by randomly selecting parsing actions, it might have been necessary to construct a robust symbolic system capable of being interpreted under any hierarchical structure. However, human parsing strategies do not seem to follow such a random pattern. Why is that the case? In fact, a previous study on emergent communication using models with hierarchical biases have reported that agents adopting random parsing strategies$\unicode{x2013}$ones that deviate significantly …

Multi-Order Monte Carlo IMEX hierarchies for uncertainty quantification in multiscale hyperbolic systems
Giulia Bertaglia, Walter Boscheri, Lorenzo Pareschi
https://arxiv.org/abs/2508.20187

Multi-Order Monte Carlo IMEX hierarchies for uncertainty quantification in multiscale hyperbolic systems
We introduce a novel Multi-Order Monte Carlo approach for uncertainty quantification in the context of multiscale time-dependent partial differential equations. The new framework leverages Implicit-Explicit Runge-Kutta time integrators to satisfy the asymptotic-preserving property across different discretization orders of accuracy. In contrast to traditional Multi-Level Monte Carlo methods, which require costly hierarchical re-meshing, our method constructs a multi-order hierarchy by varying bo…

Meromorphic differentials and twisted DR hierarchies for the Hodge CohFT
Xavier Blot, Paolo Rossi, Adrien Sauvaget
https://arxiv.org/abs/2508.09899 https://

Meromorphic differentials and twisted DR hierarchies for the Hodge CohFT
In [arXiv:2408.13806], two families of classical and quantum integrable hierarchies associated to arbitrary Cohomological Field Theories (CohFTs) were introduced: the meromorphic differential and twisted double ramification hierarchies. For trivial CohFT, the authors established a connection with the untwisted Double Ramification (DR) hierarchy. In this paper, we extend this study to the Hodge CohFT and prove an analogous correspondence with the untwisted DR hierarchy. This yields non-trivial i…

This way of thinking of hierarchical control rejects the notion of control hierarchies as the arbitrary top-down dictates of rulers and other public officials. For that reason, examining the use of raw, top-down political power to coerce and control individuals or groups is beyond the purview of this chapter. Although this is a real and serious threat to humankind that requires addressing and correcting, it is best understood as the exercise of force, not of constraints as understood here.

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization
Marouan Handa, Marek Tyburec, Giovanni Fantuzzi, Victor Magron, Michal Ko\v{c}vara
https://arxiv.org/abs/2509.02849

Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization
The Arrow Decomposition (AD) technique, initially introduced in [Mathematical Programming 190(1-2) (2021), pp 105-134], demonstrated superior scalability over the classical chordal decomposition in the context of Linear Matrix Inequalities (LMIs) if the matrix in question satisfied suitable assumptions. The primary objective of this paper is to extend the AD method to address Polynomial Optimization Problems (POPs) involving large-scale Polynomial Matrix Inequalities (PMIs), with the solution f…

Radiative Mass Generation in Gauged Theories of Flavour: A Path to Fermion Mass Hierarchies
Gurucharan Mohanta
https://arxiv.org/abs/2506.23665 https://

Radiative Mass Generation in Gauged Theories of Flavour: A Path to Fermion Mass Hierarchies
We present a class of models based on extended gauged flavour symmetries that address the hierarchical structure of fermion masses in the Standard Model (SM) through the radiative mass generation mechanism. In these frameworks, only third-generation fermions acquire tree-level masses, while the first and second generations gain their masses via quantum corrections induced by new gauge bosons, naturally explaining the observed mass hierarchy. Since the technically natural structure of fermion ma…

Linear response and exact hydrodynamic projections in Lindblad equations with decoupled Bogoliubov hierarchies
Patrik Penc, Fabian H. L. Essler
https://arxiv.org/abs/2507.13867

Linear response and exact hydrodynamic projections in Lindblad equations with decoupled Bogoliubov hierarchies
We consider a class of spinless-fermion Lindblad equations that exhibit decoupled BBGKY hierarchies. In the cases where particle number is conserved, their late time behaviour is characterized by diffusive dynamics, leading to an infinite temperature steady state. Some of these models are Yang-Baxter integrable, others are not. The simple structure of the BBGKY hierarchy makes it possible to map the dynamics of Heisenberg-picture operators on few-body imaginary-time Schrödinger equations with …

(World) Building Transformation: Students and Teachers as CoCreators in OpenXR Learning Environments
Abigail Greenbaum, Elizabeth Strickler, Victoria Patterson, Bolu Oluleye
https://arxiv.org/abs/2506.22988

(World) Building Transformation: Students and Teachers as CoCreators in OpenXR Learning Environments
Emerging extended reality (XR) tools and platforms offer an exciting opportunity to align learning experiences in higher education with the futures in which students will pursue their goals. However, the dynamic nature of XR as subject matter challenges hierarchies and classroom practices typical of higher education. This instructional design practice paper reflects on how our team of faculty, learning experience designers, and user experience (UX) researchers implemented human-centered design …

Crosslisted article(s) found for cs.DS. https://arxiv.org/list/cs.DS/new
[1/1]:
- Some Applications and Limitations of Convex Optimization Hierarchies for Discrete and Continuous ...
Mrinalkanti Ghosh

Beyond reorganization: Intrinsic cortical hierarchies constrain experience-dependent plasticity in sensory-deprived humans https://www.biorxiv.org/content/10.1101/2025.06.19.660510v1 "we confirm that auditory and speech related features are redirected to depr…

TOMI: Transforming and Organizing Music Ideas for Multi-Track Compositions with Full-Song Structure
Qi He, Gus Xia, Ziyu Wang
https://arxiv.org/abs/2506.23094

TOMI: Transforming and Organizing Music Ideas for Multi-Track Compositions with Full-Song Structure
Hierarchical planning is a powerful approach to model long sequences structurally. Aside from considering hierarchies in the temporal structure of music, this paper explores an even more important aspect: concept hierarchy, which involves generating music ideas, transforming them, and ultimately organizing them--across musical time and space--into a complete composition. To this end, we introduce TOMI (Transforming and Organizing Music Ideas) as a novel approach in deep music generation and dev…

Emergence of Hierarchies in Multi-Agent Self-Organizing Systems Pursuing a Joint Objective
Gang Chen, Guoxin Wang, Anton van Beek, Zhenjun Ming, Yan Yan
https://arxiv.org/abs/2508.09541

Emergence of Hierarchies in Multi-Agent Self-Organizing Systems Pursuing a Joint Objective
Multi-agent self-organizing systems (MASOS) exhibit key characteristics including scalability, adaptability, flexibility, and robustness, which have contributed to their extensive application across various fields. However, the self-organizing nature of MASOS also introduces elements of unpredictability in their emergent behaviors. This paper focuses on the emergence of dependency hierarchies during task execution, aiming to understand how such hierarchies arise from agents' collective pursuit …

Hierarchies within TFNP: building blocks and collapses
Surendra Ghentiyala, Zeyong Li
https://arxiv.org/abs/2507.21550 https://arxiv.org/pdf/2507.21550

Hierarchies within TFNP: building blocks and collapses
We initiate the study of complexity classes $\mathsf{A^B}$ where $\mathsf{A}$ and $\mathsf{B}$ are both $\mathsf{TFNP}$ subclasses. For example, we consider complexity classes of the form $\mathsf{PPP^{PPP}}$, $\mathsf{PPAD^{PPA}}$, and $\mathsf{PPA^{PLS}}$. We define complete problems for such classes, and show that they belong in $\mathsf{TFNP}$. These definitions require some care, since unlike a class like $\mathsf{PPA^{NP}}$, where the $\mathsf{NP}$ oracle defines a function, in $\mathsf{P…

Learning Task Execution Hierarchies for Redundant Robots
Alessandro Adami, Aris Synodinos, Matteo Iovino, Ruggero Carli, Pietro Falco
https://arxiv.org/abs/2508.10780 https://…

Learning Task Execution Hierarchies for Redundant Robots
Modern robotic systems, such as mobile manipulators, humanoids, and aerial robots with arms, often possess high redundancy, enabling them to perform multiple tasks simultaneously. Managing this redundancy is key to achieving reliable and flexible behavior. A widely used approach is the Stack of Tasks (SoT), which organizes control objectives by priority within a unified framework. However, traditional SoTs are manually designed by experts, limiting their adaptability and accessibility. This pap…

Instrument-based quantum resources: quantification, hierarchies and towards constructing resource theories
Jatin Ghai, Arindam Mitra
https://arxiv.org/abs/2508.09134 https://

Instrument-based quantum resources: quantification, hierarchies and towards constructing resource theories
Quantum resources are certain features of the quantum world that provide advantages in certain information-theoretic, thermodynamic, or any other useful operational tasks that are outside the realm of what classical theories can achieve. Quantum resource theories provide us with an elegant framework for studying these resources quantitatively and rigorously. While numerous state-based quantum resource theories have already been investigated, and to some extent, measurement-based resource theori…

Replaced article(s) found for math-ph. https://arxiv.org/list/math-ph/new
[1/1]:
- Drinfeld-Sokolov Hierarchies, Tau Functions, and Generalized Schur Polynomials
Mattia Cafasso, Ann du Crest de Villeneuve, Di Yang

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness
Arnav Mehra, Alexandros Psomas
https://arxiv.org/abs/2506.12950

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness
We consider the classic cake-cutting problem of producing fair allocations for $n$ agents, in the Robertson-Webb query model. In this model, it is known that: (i) proportional allocations can be computed using $O(n \log n)$ queries, and this is optimal for deterministic protocols; (ii) envy-free allocations (a subset of proportional allocations) can be computed using $O\left( n^{n^{n^{n^{n^{n}}}}} \right)$ queries, and the best known lower bound is $Ω(n^2)$; (iii) perfect allocations (a subset…

Listening to a digital history talk at #DH2025 I'm reminded that IMO 'labs' isn't a natural metaphor for 'working together' (but maybe the realities of hierarchies and politics do fit the DH/GLAM use?).
Is importing 'data culture' from the world of business the right move for digital history / humanities?

Towards the {\tau}-function of the quantum groups
Maxim Chepurnoi, Mikhail Sharov
https://arxiv.org/abs/2508.20966 https://arxiv.org/pdf/2508.20966

Towards the τ-function of the quantum groups
Non-perturbative partition functions of quantum theories constitute a class of $τ-$functions, which are distinguished satisfying Hirota's bilinear identities(BI). To make this statement general, there must be a proper definition of $τ-$function that gives rise to a set of bilinear identities. In the classical definition of $τ-$function for integrable Toda or KP hierarchies, there is a restriction on matrix elements to be based on group-like elements with the comultiplication $Δ(g)=g \otimes…

If there’s one thing I keep coming back to, it’s this: I truly believe work could be so much more rewarding if we collectively tore down the rigid hierarchies and completely did away with bosses. In their place, we’d practice genuine worker self-management. Every decision that shapes our daily lives would be made directly by us, the workers on the shop floor.
With direct democracy at the core, and our union standing not just beside us but as a true expression of our collective will, th…

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences
Hoang Anh Tran, Toh Kim-Chuan
https://arxiv.org/abs/2507.00572

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences
The moment-SOS hierarchy is a widely applicable framework to address polynomial optimization problems over basic semi-algebraic sets based on positivity certificates of polynomial. Recent works show that the convergence rate of this hierarchy over certain simple sets, namely, the unit ball, hypercube, and standard simplex, is of the order $O(1/r^2)$, where r denotes the level of the moment-SOS hierarchy. This paper aims to provide a comprehensive understanding of the convergence rate of the mom…

Strata: Hierarchical Context Caching for Long Context Language Model Serving
Zhiqiang Xie, Ziyi Xu, Mark Zhao, Yuwei An, Vikram Sharma Mailthody, Scott Mahlke, Michael Garland, Christos Kozyrakis
https://arxiv.org/abs/2508.18572

Strata: Hierarchical Context Caching for Long Context Language Model Serving
Large Language Models (LLMs) with expanding context windows face significant performance hurdles. While caching key-value (KV) states is critical for avoiding redundant computation, the storage footprint of long-context caches quickly exceeds GPU memory capacity, forcing production systems to adopt hierarchical caching across memory hierarchies. However, transferring large cached contexts back to the GPU introduces severe performance bottlenecks: fragmented I/O from paged layouts prevents full …

V2P: From Background Suppression to Center Peaking for Robust GUI Grounding Task
Jikai Chen, Long Chen, Dong Wang, Leilei Gan, Chenyi Zhuang, Jinjie Gu
https://arxiv.org/abs/2508.13634

V2P: From Background Suppression to Center Peaking for Robust GUI Grounding Task
Precise localization of GUI elements is crucial for the development of GUI agents. Traditional methods rely on bounding box or center-point regression, neglecting spatial interaction uncertainty and visual-semantic hierarchies. Recent methods incorporate attention mechanisms but still face two key issues: (1) ignoring processing background regions causes attention drift from the desired area, and (2) uniform labeling fails to distinguish between center and edges of the target UI element, leadin…

GRASP: Grouped Regression with Adaptive Shrinkage Priors
Shu Yu Tew, Daniel F. Schmidt, Mario Boley
https://arxiv.org/abs/2506.18092 https://

GRASP: Grouped Regression with Adaptive Shrinkage Priors
We introduce GRASP, a simple Bayesian framework for regression with grouped predictors, built on the normal beta prime (NBP) prior. The NBP prior is an adaptive generalization of the horseshoe prior with tunable hyperparameters that control tail behavior, enabling a flexible range of sparsity, from strong shrinkage to ridge-like regularization. Unlike prior work that introduced the group inverse-gamma gamma (GIGG) prior by decomposing the NBP prior into structured hierarchies, we show that dire…

MSGM: A Multi-Scale Spatiotemporal Graph Mamba for EEG Emotion Recognition
Hanwen Liu, Yifeng Gong, Zuwei Yan, Zeheng Zhuang, Jiaxuan Lu
https://arxiv.org/abs/2507.15914

MSGM: A Multi-Scale Spatiotemporal Graph Mamba for EEG Emotion Recognition
EEG-based emotion recognition struggles with capturing multi-scale spatiotemporal dynamics and ensuring computational efficiency for real-time applications. Existing methods often oversimplify temporal granularity and spatial hierarchies, limiting accuracy. To overcome these challenges, we propose the Multi-Scale Spatiotemporal Graph Mamba (MSGM), a novel framework integrating multi-window temporal segmentation, bimodal spatial graph modeling, and efficient fusion via the Mamba architecture. By…

HieraRS: A Hierarchical Segmentation Paradigm for Remote Sensing Enabling Multi-Granularity Interpretation and Cross-Domain Transfer
Tianlong Ai, Tianzhu Liu, Haochen Jiang, Yanfeng Gu
https://arxiv.org/abs/2507.08741

HieraRS: A Hierarchical Segmentation Paradigm for Remote Sensing Enabling Multi-Granularity Interpretation and Cross-Domain Transfer
Hierarchical land cover and land use (LCLU) classification aims to assign pixel-wise labels with multiple levels of semantic granularity to remote sensing (RS) imagery. However, existing deep learning-based methods face two major challenges: 1) They predominantly adopt a flat classification paradigm, which limits their ability to generate end-to-end multi-granularity hierarchical predictions aligned with tree-structured hierarchies used in practice. 2) Most cross-domain studies focus on perform…

A Factorized Mass Structure of Fermions and Its Fit
Qingfeng Cao, Ying Zhang
https://arxiv.org/abs/2507.01480 https://arxiv.org/pdf/2…

A Factorized Mass Structure of Fermions and Its Fit
The structure of the mass matrix, a challenging problem in the Standard Model, is closely related to flavor phenomenology and the understanding of the Yukawa interaction. We derive a factorized mass structure based on observed fermion mass hierarchies, investigating the role of $SO(2)^f$ family symmetry in explaining the approximate degeneracy of light quark generations and its connection to flavor mixing. Our calculation includes the slightest modification from the lightest fermions by $\mathc…

Building an Accelerated OpenFOAM Proof-of-Concept Application using Modern C
Giulio Malenza, Giovanni Stabile, Filippo Spiga, Robert Birke, Marco Aldinucci
https://arxiv.org/abs/2507.18268

Building an Accelerated OpenFOAM Proof-of-Concept Application using Modern C++
The modern trend in High-Performance Computing (HPC) involves the use of accelerators such as Graphics Processing Units (GPUs) alongside Central Processing Units (CPUs) to speed up numerical operations in various applications. Leading manufacturers such as NVIDIA, Intel, and AMD are constantly advancing these architectures, augmenting them with features such as mixed precision, enhanced memory hierarchies, and specialised accelerator silicon blocks (e.g., Tensor Cores on GPU or AMX/SME engines …

MAHL: Multi-Agent LLM-Guided Hierarchical Chiplet Design with Adaptive Debugging
Jinwei Tang (Katie), Jiayin Qin (Katie), Nuo Xu (Katie), Pragnya Sudershan Nalla (Katie), Yu Cao (Katie), Yang (Katie), Zhao, Caiwen Ding
https://arxiv.org/abs/2508.14053

MAHL: Multi-Agent LLM-Guided Hierarchical Chiplet Design with Adaptive Debugging
As program workloads (e.g., AI) increase in size and algorithmic complexity, the primary challenge lies in their high dimensionality, encompassing computing cores, array sizes, and memory hierarchies. To overcome these obstacles, innovative approaches are required. Agile chip design has already benefited from machine learning integration at various stages, including logic synthesis, placement, and routing. With Large Language Models (LLMs) recently demonstrating impressive proficiency in Hardwa…

Statistical conservation laws for scalar model problems: Hierarchical evolution equations
Qian Huang, Christian Rohde
https://arxiv.org/abs/2508.15359 https://

Statistical conservation laws for scalar model problems: Hierarchical evolution equations
The probability density functions (PDFs) for the solution of the incompressible Navier-Stokes equation can be represented by a hierarchy of linear equations. This article develops new hierarchical evolution equations for PDFs of a scalar conservation law with random initial data as a model problem. Two frameworks are developed, including multi-point PDFs and single-point higher-order derivative PDFs. These hierarchies capture statistical correlations and guide closure strategies.

Where are GIScience Faculty Hired from? Analyzing Faculty Mobility and Research Themes Through Hiring Networks
Yanbing Chen, Jonathan Nelson, Bing Zhou, Ryan Zhenqi Zhou, Shan Ye, Haokun Liu, Zhining Gu, Armita Kar, Hoeyun Kwon, Pengyu Chen, Maoran Sun, Yuhao Kang
https://arxiv.org/abs/2508.09043

Where are GIScience Faculty Hired from? Analyzing Faculty Mobility and Research Themes Through Hiring Networks
Academia is profoundly influenced by faculty hiring networks, which serve as critical conduits for knowledge dissemination and the formation of collaborative research initiatives. While extensive research in various disciplines has revealed the institutional hierarchies inherent in these networks, their impacts within GIScience remain underexplored. To fill this gap, this study analyzes the placement patterns of 946 GIScience faculty worldwide by mapping the connections between PhD-granting ins…

Tailored First-order and Interior-point methods and a new semidefinite programming hierarchy for entanglement detection
Javier Pena, Vikesh Siddhu, Sridhar Tayur
https://arxiv.org/abs/2508.05854

Tailored First-order and Interior-point methods and a new semidefinite programming hierarchy for entanglement detection
Quantum entanglement lies at the heart of quantum information science, yet its reliable detection in high-dimensional or noisy systems remains a fundamental computational challenge. Semidefinite programming (SDP) hierarchies, such as the Doherty-Parrilo-Spedalieri (DPS) and Extension (EXT) hierarchies, offer complete methods for entanglement detection, but their practical use is limited by exponential growth in problem size. In this paper, we introduce a new SDP hierarchy, PST, that is sandwich…

Do you enjoy working? Sure, as long as the shop floor runs on real democracy and it’s the workers themselves making the calls through good old-fashioned worker self-management, without bosses or rigid hierarchies.
#RevolutionarySyndicalism #Syndicalism

Extensions of Brown Hamiltonian-II. Analytical study on the modified von Zeipel-Lidov-Kozai effects
Hanlun Lei, Evgeni Grishin
https://arxiv.org/abs/2507.11184

Extensions of Brown Hamiltonian-II. Analytical study on the modified von Zeipel-Lidov-Kozai effects
In triple systems of weak hierarchies, nonlinear perturbations arising from the periodic oscillations associated with the inner and outer binaries play a crucial role in shaping their long-term dynamical evolution. In this context, we have developed an extended Brown Hamiltonian in Paper I, which serves as a fundamental model for describing the modified von Zeipel-Lidov-Kozai (ZLK) oscillations. The present work aims to analyze the characteristics of ZLK oscillations within this extended framew…

Regimes and Transitions of the Nonlinear Temporal Talbot Effect: Underlying Mechanism for A-Type Breathers, Soliton Crystals, and Soliton Gas
Marina Zajnulina
https://arxiv.org/abs/2508.12494

Regimes and Transitions of the Nonlinear Temporal Talbot Effect: Underlying Mechanism for A-Type Breathers, Soliton Crystals, and Soliton Gas
A frequency comb from a phase-modulated continuous-wave laser is subject to the temporal Talbot effect and modulational instability in an optical fiber or semiconductor. Using Soliton Radiation Beat Analysis and a dispersion relation for comb lines, I identify distinct regimes of the nonlinear Talbot effect of A-type breathers, soliton crystals, and soliton gas that arise from varying hierarchies of self-phase modulation, cross-phase modulation, and the type of four-wave mixing (regular vs. cas…

Overcoming Knowledge Discrepancies: Structuring Reasoning Threads through Knowledge Balancing in Interactive Scenarios
Daniel Burkhardt, Xiangwei Cheng
https://arxiv.org/abs/2508.12100

Overcoming Knowledge Discrepancies: Structuring Reasoning Threads through Knowledge Balancing in Interactive Scenarios
Reasoning in interactive problem solving scenarios requires models to construct reasoning threads that reflect user understanding and align with structured domain knowledge. However, current reasoning models often lack explicit semantic hierarchies, user-domain knowledge alignment, and principled mechanisms to prune reasoning threads for effectiveness. These limitations result in lengthy generic output that does not guide users through goal-oriented reasoning steps. To address this, we propose …

Revisiting B\"acklund-Darboux transformations for KP and BKP integrable hierarchies
A. Zabrodin
https://arxiv.org/abs/2506.07208 https://

Revisiting Bäcklund-Darboux transformations for KP and BKP integrable hierarchies
We consider Bäcklund-Darboux transformations for integrable hierarchies of nonlinear equations such as KP, BKP and their close relatives referred to as modified KP and Schwarzian KP. We work in the framework of the bilinear formalism based on the bilinear equations for the tau-function. This approach allows one to extend the theory to fully difference (or discrete) versions of the integrable equations and their hierarchies in a natural way. We also show how to construct the Bäcklund-Darboux t…

Replaced article(s) found for math.AC. https://arxiv.org/list/math.AC/new
[1/1]:
- Computing almost commuting bases of ODOs and Gelfand-Dickey hierarchies
Jim\'enez-Pastor, Rueda, Zurro, Heredero, Delgado

Geometry-Aware Spiking Graph Neural Network
Bowen Zhang, Genan Dai, Hu Huang, Long Lan
https://arxiv.org/abs/2508.06793 https://arxiv.org/pdf/2508.06793

Geometry-Aware Spiking Graph Neural Network
Graph Neural Networks (GNNs) have demonstrated impressive capabilities in modeling graph-structured data, while Spiking Neural Networks (SNNs) offer high energy efficiency through sparse, event-driven computation. However, existing spiking GNNs predominantly operate in Euclidean space and rely on fixed geometric assumptions, limiting their capacity to model complex graph structures such as hierarchies and cycles. To overcome these limitations, we propose \method{}, a novel Geometry-Aware Spikin…

Universality in the Axiverse
Junyi Cheng, Naomi Gendler
https://arxiv.org/abs/2507.12516 https://arxiv.org/pdf/2507.12516

Universality in the Axiverse
Studies of axion effective theories in the type IIB Calabi-Yau landscape have revealed that hierarchies in cycle volumes drive correlations between axion physics and the number of axions in a given model. We analyze distributions of divisor volumes in toric hypersurface Calabi-Yau threefolds, and provide evidence that aspects of these distributions are universal across this landscape. Furthermore, we show that axion observables in this landscape can be approximated efficiently in terms of only …

I'm #ActuallyAutistic, and I want to see a worker-controlled community where the labor process isn’t dictated by rigid hierarchies or managers running some Taylorist algorithm. Imagine abolishing those antiquated top-down structures and running things through federated councils, real participatory democracy, not just a suggestion box theater.
My ideal workday would be one w…

This https://arxiv.org/abs/2506.04354 has been replaced.
initial toot: https://mastoxiv.page/@ar…

BridgeNet: A Hybrid, Physics-Informed Machine Learning Framework for Solving High-Dimensional Fokker-Planck Equations
BridgeNet is a novel hybrid framework that integrates convolutional neural networks with physics-informed neural networks to efficiently solve non-linear, high-dimensional Fokker-Planck equations (FPEs). Traditional PINNs, which typically rely on fully connected architectures, often struggle to capture complex spatial hierarchies and enforce intricate boundary conditions. In contrast, BridgeNet leverages adaptive CNN layers for effective local feature extraction and incorporates a dynamically w…

The nonisospectral integrable hierarchies associated with Lie algebra $\mathfrak{sp}(6)$
Yanhui Bi, Bo Yuan, Yuqi Ruan, Tao Zhang
https://arxiv.org/abs/2507.17278 https://

The nonisospectral integrable hierarchies associated with Lie algebra $\mathfrak{sp}(6)$
In this paper, we consider nonisospectral problems of two distinct dimensions on the loop algebra of the symplectic Lie algebra $\mathfrak{sp}(6)$, and construct two integrable systems. Furthermore, we derive their Hamiltonian structures using the Tu scheme. Additionally, we construct an integrable hierarchy on the generalized Lie algebra $\mathfrak{Gsp}(6)$ and establish its Hamiltonian structure as well.

HEAS: Hierarchical Evolutionary Agent Simulation Framework for Cross-Scale Modeling and Multi-Objective Search
Ruiyu Zhang, Lin Nie, Xin Zhao
https://arxiv.org/abs/2508.15555 ht…

HEAS: Hierarchical Evolutionary Agent Simulation Framework for Cross-Scale Modeling and Multi-Objective Search
Hierarchical Evolutionary Agent Simulation (HEAS) is a Python framework that unifies layered agent-based modeling with evolutionary optimization and tournament evaluation in a single, reproducible workflow. HEAS represents models as hierarchies of lightweight processes ("streams") scheduled in deterministic layers that read and write a shared context, making cross-scale couplings explicit and auditable. A compact API and CLI-simulate, optimize, evaluate-expose single- and multi-objective evolut…

I have nothing against my boss, but when they make critical decisions that affect my day-to-day life at work and I don't have any real influence over what shapes my workday, I like them less.
I'm not saying life is perfect, but syndicalism has taught me that we don't need rigid hierarchies to run a workplace democratically, by the workers, for the workers, and for their own benefit.
If run democratically, I can shape my own workday and workweek together with my cowork…

A natural realization of inverse seesaw model in a non-invertible selection rule
Shilpa Jangid, Hiroshi Okada
https://arxiv.org/abs/2508.16174 https://arxi…

A natural realization of inverse seesaw model in a non-invertible selection rule
We propose natural hierarchies among neutral fermions in a framework of inverse seesaw, imposing a $Z_3$ Tambara-Yamagami fusion rule which is applied to our phenomenology. Under the symmetry, the Majorana mass terms for $N_R$ and $N_L$ are forbidden at tree level. However they are generated at one-loop level where the symmetry is dynamically broken. In order to realize such loop corrections, we introduce neutral boson and fermion either of which can be an appropriate dark matter candidate. Fin…

A Taxonomy of Hierarchical Multi-Agent Systems: Design Patterns, Coordination Mechanisms, and Industrial Applications
David J. Moore
https://arxiv.org/abs/2508.12683 https://

A Taxonomy of Hierarchical Multi-Agent Systems: Design Patterns, Coordination Mechanisms, and Industrial Applications
Hierarchical multi-agent systems (HMAS) organize collections of agents into layered structures that help manage complexity and scale. These hierarchies can simplify coordination, but they also can introduce trade-offs that are not always obvious. This paper proposes a multi-dimensional taxonomy for HMAS along five axes: control hierarchy, information flow, role and task delegation, temporal layering, and communication structure. The intent is not to prescribe a single "best" design but to provi…

Generalized Riemann-Hilbert-Birkhoff Decomposition and a New Class of Higher Grading Integrable Hierarchies
H. Aratyn, C. P. Constantinidis, J. F. Gomes, T. C. Santiago, A. H. Zimerman
https://arxiv.org/abs/2507.10744

Generalized Riemann-Hilbert-Birkhoff Decomposition and a New Class of Higher Grading Integrable Hierarchies
We propose a generalized Riemann-Hilbert-Birkhoff decomposition that expands the standard integrable hierarchy formalism in two fundamental ways: it allows for integer powers of Lax matrix components in the flow equations to be increased as compared to conventional models, and it incorporates constant non-zero vacuum (background) solutions. Two additional parameters control these features. The first one defines the grade of a semisimple element that underpins the algebraic construction of the…

The non-maximal symmetry breaking patterns in the supersymmetric $\widehat {\mathfrak{s} \mathfrak{u}}(8)_{k_U =1}$ theory
Ning Chen, Jianan Tian, Bin Wang
https://arxiv.org/abs/2508.11160

The non-maximal symmetry breaking patterns in the supersymmetric $\widehat {\mathfrak{s} \mathfrak{u}}(8)_{k_U =1}$ theory
We study the non-maximal symmetry breaking patterns of ${\mathfrak{s} \mathfrak{u}}(8) \to \mathfrak{g}_{531}/\mathfrak{g}_{351}$ allowed in a supersymmetric theory with the affine Lie algebra of $\widehat {\mathfrak{s} \mathfrak{u}}(8)_{k_U=1}$, which was recently proposed to explain the three-generational standard model quark/lepton mass hierarchies as well as the Cabbibo-Kobayashi-Maskawa mixing pattern. Three gauge couplings are found to achieve the unification below the Planck scales, acco…

Replaced article(s) found for math.OC. https://arxiv.org/list/math.OC/new/
[1/1]:
Tractable hierarchies of convex relaxations for polynomial optimization on the nonnegative orthant

Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies
Marianna Euler, Norbert Euler
https://arxiv.org/abs/2506.07780

Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies
The term multipotentialisation of evolution equations in $1+1$ dimensions refers to the process of potentialising a given evolution equation, followed by at least one further potentialisation of the resulting potential equation. For certain equations this process can be applied several times to result in a finite chain of potential equations, where each equation in the chain is a potential equation of the previous equation. By a potentialisation of an equation with dependent variable $u$ to an …

One reduction of the modified Toda hierarchy
Jinbiao Wang, Wenchuang Guan, Mengyao Chen, Jipeng Cheng
https://arxiv.org/abs/2507.18271 https://arxiv.org/pd…

One reduction of the modified Toda hierarchy
The modified Toda (mToda) hierarchy is a two-component generalization of the 1-st modified KP (mKP) hierarchy, which connects the Toda hierarchy via Miura links and has two tau functions. Based on the fact that the mToda and 1-st mKP hierarchies share the same fermionic form, we firstly construct the reduction of the mToda hierarchy $L_1(n)^M=L_2(n)^N+\sum_{l\in\mathbb{Z}}\sum_{i=1}^{m}q_{i,n}Λ^lr_{i,n+1}Δ$ and $(L_1(n)^M+L_2(n)^N)(1)=0$, called the generalized bigraded modified Toda hierarch…

Well-posedness of generalized Kadomtsev-Petviashvili systems
Jean-Pierre Magnot, Enrique G. Reyes
https://arxiv.org/abs/2507.15873 https://

Well-posedness of generalized Kadomtsev-Petviashvili systems
We review our results, published, prepublished or unpublished, on the well-posedness of selected generalized Kadomtsev-Petviashvili hierarchies.

Genus zero Whitham hierarchy via Hurwitz--Frobenius manifolds
Alexey Basalaev
https://arxiv.org/abs/2507.07615 https://arxiv.org/pdf/…

Genus zero Whitham hierarchy via Hurwitz--Frobenius manifolds
B. Dubrovin introduced the structure of a Dubrovin--Frobenius manifold on a space of ramified coverings of a sphere by a genus $g$ Riemann surface with the prescribed ramification profile. This is now known as a genus $g$ Hurwitz--Frobenius manifold. We investigate the genus zero Hurwitz--Frobenius manifolds and their connection to the integrable hierarchies. In particular, we prove that the Frobenius potentials of the genus zero Hurwitz--Frobenius manifolds stabilize and therefore define an in…