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arXiv:2503.00349v2 Announce Type: replace Abstract: Energy-based learning algorithms are alternatives to backpropagation and are well-suited to distributed implementations in analog electronic devices. However, a rigorous...
arXiv:2503.08955v2 Announce Type: replace Abstract: For a non-Archimedean locally compact field $F$ of odd residue characteristic and characteristic $0$, we prove a conjecture of D....
arXiv:2503.09887v3 Announce Type: replace Abstract: We develop a novel stability theory for Sinkhorn semigroups based on Lyapunov techniques and quantitative contraction coefficients, and establish exponential...
arXiv:2503.14107v4 Announce Type: replace Abstract: By extending the method developed in our recent paper \cite{LM} we present the AQFT framework in terms of von Neumann...
arXiv:2503.19203v2 Announce Type: replace Abstract: In this paper, we revisit the numerical stability of four well-established explicit stochastic integration schemes through a new generic benchmark...
arXiv:2503.21334v5 Announce Type: replace Abstract: Particle filters (PFs) form a class of Monte Carlo algorithms that propagate over time a set of $N\geq 1$ particles...
arXiv:2504.13708v2 Announce Type: replace Abstract: Gelfand duality is a fundamental result that justifies thinking of general unital $C^*$-algebras as noncommutative versions of compact Hausdorff spaces....
arXiv:2504.14116v3 Announce Type: replace Abstract: The paper presents the first rigorous error analysis of an unfitted finite element method for a linear parabolic problem posed...
arXiv:2504.17041v2 Announce Type: replace Abstract: We prove the correctness of the AKS algorithm \cite{AKS} within the bounded arithmetic theory $T^{count}_2$ or, equivalently, the first-order consequences...
arXiv:2504.20616v2 Announce Type: replace Abstract: We ask the question, which oriented trees $T$ must be contained as subgraphs in every finite directed graph of sufficiently...
arXiv:2505.00696v2 Announce Type: replace Abstract: Let $k$ be a field and $X$ a smooth projective variety over $k$. When $k$ is a number field, the...
arXiv:2505.02196v2 Announce Type: replace Abstract: We study feedback control of the Kuramoto model with uniformly spaced natural frequencies defined on uniform graphs which may be...
arXiv:2505.05951v2 Announce Type: replace Abstract: In this paper, we analyze stability of nonlinear model predictive control (MPC) using data-driven surrogate models in the optimization step....
arXiv:2505.07803v2 Announce Type: replace Abstract: We establish completely log-free bounds for exponential sums over the primes and the M\"{o}bius function. Let $0
arXiv:2505.09383v2 Announce Type: replace Abstract: This paper studies the geometry of Fatou components in non-Archimedean dynamics. By explicitly computing a wandering domain constructed by Benedetto,...
arXiv:2505.09637v2 Announce Type: replace Abstract: In this article, we obtain an explicit version of Heath-Brown's large sieve inequality for quadratic characters and discuss its applications...
arXiv:2505.16428v4 Announce Type: replace Abstract: This paper investigates asymptotic minimaxity properties of Bayesian multiple testing rules in the sparse Gaussian sequence model using a broad...
arXiv:2505.20495v2 Announce Type: replace Abstract: We introduce an effective algorithmic method for the computation of a lower bound for uniform expansion in one-dimensional dynamics. The...
arXiv:2506.01547v2 Announce Type: replace Abstract: We prove that the local Euler class of a line on a degree $2n-1$ hypersurface in projective $n+1$ space is...
arXiv:2506.12399v2 Announce Type: replace Abstract: We describe a Grothendieck construction for non-symmetric operads with values in categories, and hence in groupoids and posets. The construction...
arXiv:2506.17893v2 Announce Type: replace Abstract: Let $A$ be a $2\times 2$ matrix over a finite field and consider the Yang-Baxter matrix equation $XAX=AXA$ with respect...
arXiv:2507.00267v2 Announce Type: replace Abstract: The solution of sequences of shifted linear systems is a classic problem in numerical linear algebra, and a variety of...
arXiv:2507.11596v3 Announce Type: replace Abstract: The recurrence for the $k$-generalized Fibonacci polynomials is usually iterated upwards to positive values of $n$ only. When the recurrence...
arXiv:2507.16364v3 Announce Type: replace Abstract: Let $D$ be the quatenion division algebra over a non-Archimedean local field $F$ of characteristic zero and odd residual characterisitc....