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arXiv:2406.06707v2 Announce Type: replace Abstract: This paper proposes a sparse regression strategy for discovery of ordinary differential equations from incomplete and noisy data. Inference is...
arXiv:2408.04148v3 Announce Type: replace Abstract: In this article we study the generalized Fourier dimension of the set of Liouville numbers $\mathbb{L}$. Being a set of...
arXiv:2410.17102v2 Announce Type: replace Abstract: For an endofunctor $F\colon\mathcal{C}\to\mathcal{C}$ on an ($\infty$-)category $\mathcal{C}$ we define the $\infty$-category $\operatorname{Cart}(\mathcal{C},F)$ of generalized Cartier modules as the lax...
arXiv:2411.03516v3 Announce Type: replace Abstract: Given $\beta>1$, let $T_\beta$ be the $\beta$-transformation on the unit circle $[0,1)$, defined by $T_\beta(x)=\beta x-\lfloor \beta x\rfloor$. For each...
arXiv:2501.08264v2 Announce Type: replace Abstract: We give conditions for topological and bi-Lipschitz equivalences within a class of mixed singularities of Pham-Brieskorn type. As a consequence,...
arXiv:2501.16479v3 Announce Type: replace Abstract: Hydrodynamics describes the evolution of macroscopic states in non--equilibrium thermodynamics. Following Onsager reciprocal relations, one can formulate a large class...
arXiv:2502.06121v2 Announce Type: replace Abstract: Given a positive definite even lattice and a commutative ring, there is a standard construction of a lattice vertex algebra...
arXiv:2502.12496v3 Announce Type: replace Abstract: In this paper we consider Deep Neural Networks (DNNs) with a smooth activation function as surrogates for high-dimensional functions that...
arXiv:2502.12888v5 Announce Type: replace Abstract: Let (x_n; n\in Z) be a bisequence of elements x_n in the 1-dimensional torus R/Z, which is called a stream...
arXiv:2502.14109v2 Announce Type: replace Abstract: We show that the moduli spaces of Scholze's $p$-adic shtukas with framing satisfy a $p$-adic rigid analytic version of Borel's...
arXiv:2503.06758v3 Announce Type: replace Abstract: Using a variation of Woodin's $\mathbb{P}_{\mathrm{max}}$ forcing, we force over a model of the Axiom of Determinacy to produce a...
arXiv:2503.10461v2 Announce Type: replace Abstract: This article studies the compatibility of Koenig's notion of an exact Borel subalgebra of a quasi-hereditary or, more generally, standardly...
arXiv:2503.11715v4 Announce Type: replace Abstract: The purpose of this paper is to extend the Kitaev model to a general dimensional diamond crystal. We define the...
arXiv:2504.03460v4 Announce Type: replace Abstract: This article revisits standard theorems from elementary number theory from a constructive, algorithmic, and proof-theoretic perspective, framed within the theory...
arXiv:2504.03574v3 Announce Type: replace Abstract: We study non-Birkhoff periodic orbits in symmetric convex planar billiards. Our main result provides a quantitative criterion for the existence...
arXiv:2504.04183v2 Announce Type: replace Abstract: The complement of an arrangement of diagonal subspaces $x_{i_1} = \cdots = x_{i_k}$ in the real space is defined by...
arXiv:2504.05654v4 Announce Type: replace Abstract: By analogy to the terminology of curved exponential families in statistics, we define curved Bregman divergences as Bregman divergences restricted...
arXiv:2504.12835v2 Announce Type: replace Abstract: We present a modified simulated annealing method with a dynamical choice of the cooling temperature. The latter is determined via...
arXiv:2504.14696v3 Announce Type: replace Abstract: We introduce a differentially private (DP) algorithm called reveal-or-obscure (ROO) to generate a single representative sample from a dataset of...
arXiv:2504.20671v2 Announce Type: replace Abstract: We introduce and study the notion of a transformation surface associated with a nowhere-vertical minimal surface in the three-dimensional Heisenberg...
arXiv:2505.01608v2 Announce Type: replace Abstract: We analyze the invariant distributions of continuous-time and discrete-time random walks on randomly weighted complete digraphs. These distributions correspond to...
arXiv:2505.04807v2 Announce Type: replace Abstract: A new, fast second-order method is proposed that achieves the optimal $\mathcal{O}\left(|\log(\epsilon)|\epsilon^{-3/2}\right)$ complexity to obtain first-order $\epsilon$-stationary points. Crucially, this...
arXiv:2505.06366v2 Announce Type: replace Abstract: It has recently been proved that the category of N-manifolds of degree $n$, that is, $\mathbb N$-graded supermanifolds of degree...
arXiv:2505.11914v2 Announce Type: replace Abstract: This paper proposes a novel proximal difference-of-convex (DC) algorithm enhanced with extrapolation and aggressive non-monotone line search for solving non-convex...