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Decoupled Diffusion Sampling for Inverse Problems on Function Spaces

arXiv:2601.23280v1 Announce Type: cross Abstract: We propose a data-efficient, physics-aware generative framework in function space for inverse PDE problems. Existing plug-and-play diffusion posterior samplers represent...

Neuroscience Energy

Cubical approximation for directed topology I

arXiv:1012.0509v3 Announce Type: replace Abstract: Topological spaces - such as classifying spaces, configuration spaces and spacetimes - often admit extra temporal structure. Qualitative invariants on...

Chernoff bounds for branching random walks

arXiv:1604.00056v5 Announce Type: replace Abstract: Concentration inequalities, which have proved very useful in a variety of fields, provide fairly tight bounds on large deviation probabilities...

The Partition-Frequency Enumeration Matrix

arXiv:2102.04191v3 Announce Type: replace Abstract: We develop a calculus that gives an elementary approach to enumerate partition-like objects using an infinite upper-triangular number-theoretic matrix. We...

Materials Science Software

On quasi-isospectrality of potentials and Riemannian manifolds

arXiv:2202.06110v5 Announce Type: replace Abstract: In this article, we study quasi-isospectral operators as a generalization of isospectral operators. The paper contains both expository material and...

On classification of continuous first order theories

arXiv:2205.12051v3 Announce Type: replace Abstract: We give several new characterizations of $IP$ (the independence property) and $SOP$ (the strict order property) for continuous first order...

Ramification theory from homotopical point of view, I

arXiv:2206.02401v2 Announce Type: replace Abstract: We prove the compatibility of pushforward along a proper morphism of an \'{e}tale constructible sheaf and the pushforward of its...

Policy

Cardinal Optimizer (COPT) User Guide

arXiv:2208.14314v4 Announce Type: replace Abstract: Cardinal Optimizer is a high-performance mathematical programming solver for efficiently solving largescale optimization problem. This documentation provides basic introduction to...

Conjectures on the reduced Kronecker coefficients

arXiv:2210.14668v4 Announce Type: replace Abstract: We formulate a series of conjectures on the stable tensor product of irreducible representations of symmetric groups, which are closely...

Space & Astronomy Software

Optimal Stabilization of Periodic Orbits: A Symplectic Geometry Approach

arXiv:2211.11955v3 Announce Type: replace Abstract: In this contribution, the optimal stabilization problem of periodic orbits is studied via invariant manifold theory and symplectic geometry. The...

A universal sheaf of algebras governing representations of vector fields on quasi-projective varieties

arXiv:2302.07918v2 Announce Type: replace Abstract: We construct a quasi-coherent sheaf of associative algebras which controls a category of $AV$-modules over a smooth quasi-projective variety. We...

Mathematics Energy

On the finite time blow-ups for solutions of nonlinear differential equations

arXiv:2303.10153v2 Announce Type: replace Abstract: We study systems of nonlinear ordinary differential equations where the dominant term, with respect to large spatial variables, causes blow-ups...

Psychology Energy

Higher topological complexity of Seifert fibered manifolds

arXiv:2304.01274v3 Announce Type: replace Abstract: In this article, we investigate the higher topological complexity of oriented Seifert fibered manifolds that are Eilenberg--MacLane spaces $K(G,1)$ with...

Software Psychology

Amending the Lonely Runner Spectrum Conjecture

arXiv:2306.10417v2 Announce Type: replace Abstract: Let $||x||$ be the absolute distance from $x$ to the nearest integer. For a set of distinct positive integral speeds...

Policy Biology

Tilings in quasi-random $k$-partite hypergraphs

arXiv:2306.10539v2 Announce Type: replace Abstract: Given $k\ge 2$ and two $k$-graphs ($k$-uniform hypergraphs) $F$ and $H$, an $F$-factor in $H$ is a set of vertex...

Software Policy

Quartic Gauss sums over primes and metaplectic theta functions

arXiv:2306.11875v5 Announce Type: replace Abstract: We improve 1987 estimates of Patterson for sums of quartic Gauss sums over primes. Our Type-I and Type-II estimates feature...

Policy

The center of the asymptotic Hecke category and unipotent character sheaves

arXiv:2307.07276v3 Announce Type: replace Abstract: In 2015, Lusztig [Bull. Inst. Math. Acad. Sin. (N.S.)10(2015), no.1, 1-72] showed that for a connected reductive group over an...

Mathematics Finance

Logarithmic Asymptotic Relations Between $p$-Values and Mutual Information

arXiv:2308.14735v2 Announce Type: replace Abstract: We establish a precise connection between statistical significance in dependence testing and information-theoretic dependence as quantified by Shannon mutual information...

Psychology Mathematics

Frank--Wolfe algorithms for piecewise star-convex functions with a nonsmooth difference-of-convex structure

arXiv:2308.16444v4 Announce Type: replace Abstract: In the present paper, we formulate two versions of Frank--Wolfe algorithm or conditional gradient method to solve the DC optimization...

Software Policy

A linearization map for genuine equivariant algebraic $K$-theory

arXiv:2309.08025v4 Announce Type: replace Abstract: We introduce a version of algebraic $K$-theory for coefficient systems of rings which is valued in genuine $G$-spectra for a...

High-Dimensional Bernstein Von-Mises Theorems for Covariance and Precision Matrices

arXiv:2309.08556v3 Announce Type: replace Abstract: This paper aims to examine the characteristics of the posterior distribution of covariance/precision matrices in a "large $p$, large $n$"...

Imaginaries, products and the adele ring

arXiv:2309.11678v3 Announce Type: replace Abstract: We describe the imaginary sorts of infinite products in terms of imaginary sorts of the factors. We extend the result...

Energy Policy