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arXiv:2602.12257v1 Announce Type: new Abstract: We study Langevin dynamics with noise projected onto the directions orthogonal to an isometric group action. This mathematical model is...
arXiv:2602.12261v1 Announce Type: new Abstract: For $\mu$ an edge percolation measure on the infinite square lattice, let $\mu_{\textit{hp}}$ (respectively, $\mu^*_{hp}$) denote its marginal (respectively, the...
arXiv:2602.12264v1 Announce Type: new Abstract: We study the optimal transmission and scheduling policy for a transmitter (source) communicating with two gossiping receivers aiming at tracking...
arXiv:2602.12273v1 Announce Type: new Abstract: We propose an optimization-informed deep neural network approach, named iUzawa-Net, aiming for the first solver that enables real-time solutions for...
arXiv:2601.01982v1 Announce Type: cross Abstract: Large language models (LLMs) excel at natural language tasks but remain brittle in domains requiring precise logical and symbolic reasoning....
arXiv:2602.11206v1 Announce Type: cross Abstract: Spiking Neural Networks (SNNs) offer energy-efficient, biologically plausible computation but suffer from non-differentiable spike generation, necessitating reliance on heuristic surrogate...
arXiv:2602.11246v1 Announce Type: cross Abstract: We introduce a mathematical framework for the linear representation hypothesis (LRH), which asserts that intermediate layers of language models store...
arXiv:2602.11250v1 Announce Type: cross Abstract: Consider $n$ points generated uniformly at random in the unit square, and let $L_n$ be the length of their optimal...
arXiv:2602.11260v1 Announce Type: cross Abstract: Nevanlinna-Pick interpolation and moment problems use the analytic structures provided by causality in order to provide rigorous bounds on smeared...
arXiv:2602.11288v1 Announce Type: cross Abstract: We derive a novel two-field four-dimensional integrable field theory (IFT) from 6d holomorphic Chern-Simons theory on twistor space. The four-dimensional...
arXiv:2602.11312v1 Announce Type: cross Abstract: We construct a new nonlinear deformed Schr\"odinger structure using a nonlinear derivative operator which depends on a parameter $q$. This...
arXiv:2602.11332v1 Announce Type: cross Abstract: In recent years, artificial neural networks have been increasingly studied as feedback controllers for guidance problems. While effective in complex...
arXiv:2602.11378v1 Announce Type: cross Abstract: Projection-based Reduced Order Models (ROMs) are often deployed as static surrogates, which limits their practical utility once a system leaves...
arXiv:2602.11511v1 Announce Type: cross Abstract: Unified representation learning for multi-source data integration faces two important challenges: blockwise missingness and blockwise signal heterogeneity. The former arises...
arXiv:2602.11610v1 Announce Type: cross Abstract: Considering the knockoff-based multiple testing framework of Barber and Cand\`es [2015], we revisit the method of Sarkar and Tang [2022]...
arXiv:2602.11665v1 Announce Type: cross Abstract: In this work, we study non-convex-strongly-convex online bilevel optimization (OBO). Existing OBO algorithms are mainly based on hypergradient descent, which...
arXiv:2602.11679v1 Announce Type: cross Abstract: We introduce a novel cyclic Markov decision process (MDP) framework for multi-step decision problems with heterogeneous stage-specific dynamics, transitions, and...
arXiv:2602.11696v1 Announce Type: cross Abstract: Anomaly matching for continuous symmetries has been the primary tool for establishing symmetry enforced gaplessness - the phenomenon where global...
arXiv:2602.11711v1 Announce Type: cross Abstract: This article addresses the issue of estimating observation parameters (response and error parameters) in inverse problems. The focus is on...
arXiv:2602.11716v1 Announce Type: cross Abstract: In 2015, Kawarabayashi and Kreutzer proved the Directed Grid Theorem - the generalisation of the well-known Excluded Grid Theorem to...
arXiv:2602.11772v1 Announce Type: cross Abstract: In this paper we study the inverse eigenvector centrality problem on directed graphs: given a prescribed node centrality profile, we...
arXiv:2602.11773v1 Announce Type: cross Abstract: For a directed graph $G$, and a linear order $\ll$ on the vertices of $G$, we define backedge graph $G^\ll$...
arXiv:2602.11835v1 Announce Type: cross Abstract: We consider the problem of finding a Nash equilibrium (NE) in a general-sum game, where player $i$'s objective is $f_i(x)=f_i(x_1,...,x_n)$,...
arXiv:2602.11844v1 Announce Type: cross Abstract: We investigate the spectral statistics of an interacting fermionic system derived by projecting the Hubbard interaction onto the two lowest-energy,...