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The combination of functional limit theorems with the pathwise analysis of deterministic and stochastic differential equations has proven to be a powerful approach to the analysis of fast-slow systems. In a multivariate setting, this…

概率论 · 数学 2024-09-05 Maximilian Engel , Peter K. Friz , Tal Orenshtein

We construct a new family of chance constrained directional models in stochastic data envelopment analysis, generalizing the deterministic directional models and the chance constrained radial models. We prove that chance constrained…

概率论 · 数学 2024-10-21 Vicente J. Bolos , Rafael Benitez , Vicente Coll-Serrano

This work introduces a decoding strategy for binary self-dual codes possessing an automorphism of a specific type. The proposed algorithm is a hard decision iterative decoding scheme. The enclosed experiments show that the new decoding…

信息论 · 计算机科学 2021-06-22 Radinka Yorgova

In this paper, a class of high order numerical schemes is proposed to solve the nonlinear parabolic equations with variable coefficients. This method is based on our previous work [10] for convection-diffusion equations, which relies on a…

数值分析 · 数学 2020-12-30 Kaipeng Wang , Andrew Christlieb , Yan Jiang , Mengping Zhang

The question of defining unique, generally applicable constrained second, and higher-order, derivatives is investigated. It is shown that second-order constrained derivatives obtained via two successive constrained differentiations provide…

数学物理 · 物理学 2012-08-14 Tamas Gal

The critical variational setting was recently introduced and shown to be applicable to many important SPDEs not covered by the classical variational setting. In this paper, we extend the critical variational setting in several ways. We…

偏微分方程分析 · 数学 2026-02-05 Sebastian Bechtel , Fabian Germ , Mark Veraar

The well-known theory of "rational canonical form of an operator" describes the invariant factors, or elementary divisors, as a complete set of invariants of a similarity class of an operator on a finite-dimensional vector space $\V$ over a…

动力系统 · 数学 2007-09-11 Ravi S. Kulkarni

We give a criterion of integrality of an one-dimensional formal group law in terms of congruences satisfied by the coefficients of the canonical invariant differential. For an integral formal group law a p-adic analytic formula for the…

数论 · 数学 2018-07-05 Masha Vlasenko

We give a combinatorial classification for the class of postcritically fixed Newton maps of polynomials and indicate potential for extensions. As our main tool, we show that for a large class of Newton maps that includes all hyperbolic…

动力系统 · 数学 2012-03-24 Johannes Rückert

We consider arbitrary discrete probability laws on the real line. We obtain a criterion of their belonging to a new class of quasi-infinitely divisible laws, which is a wide natural extension of the class of well known infinitely divisible…

概率论 · 数学 2021-12-07 A. A. Khartov

We propose to identify directions invariant to a given classifier so that these directions can be controlled in tasks such as style transfer. While orthogonal decomposition is directly identifiable when the given classifier is linear, we…

机器学习 · 计算机科学 2022-01-28 Yilun Xu , Hao He , Tianxiao Shen , Tommi Jaakkola

In this work, we prove global existence of solutions for second order differential problems in a general framework. More precisely, we consider second order differential inclusions involving proximal normal cone to a set-valued map. This…

偏微分方程分析 · 数学 2010-06-14 Frederic Bernicot , Juliette Venel

This paper establishes a new Chebyshev criterion for some family of integrals. By virtue of this criterion we obtain several new Chebyshev families. With the help of these new families we can answer the conjecture posed by Gasull et al in…

经典分析与常微分方程 · 数学 2020-11-06 Jianfeng Huang , Haihua Liang , Xiang Zhang

The aim of this paper is to employ variational techniques and critical point theory to prove some conditions for the existence of solutions to nonlinear impulsive dynamic equation with homogeneous Dirichlet boundary conditions. Also we will…

经典分析与常微分方程 · 数学 2013-04-29 Victoria Otero-Espinar , Tania Pernas-Castaño

Learning the unknown causal parameters of a linear structural causal model is a fundamental task in causal analysis. The task, known as the problem of identification, asks to estimate the parameters of the model from a combination of…

人工智能 · 计算机科学 2024-07-18 Julian Dörfler , Benito van der Zander , Markus Bläser , Maciej Liskiewicz

We provide a new perspective on the study of parameterized optimization problems. Our approach combines methods for post-optimal sensitivity analysis and ordinary differential equations to quantify the uncertainty in the minimizer due to…

最优化与控制 · 数学 2022-09-26 Alen Alexanderian , Joseph Hart , Mason Stevens

Fitted probabilities from widely used Bayesian multinomial probit models can depend strongly on the choice of a base category, which is used to uniquely identify the parameters of the model. This paper proposes a novel identification…

统计方法学 · 统计学 2020-05-19 Lane F. Burgette , David Puelz , P. Richard Hahn

We study the end-point map of a control-linear system in a neighborhood of an arbitrarily chosen trajectory. In particular, we want to calculate the $k$-th order derivative of this map in a given direction. A priori it is a solution of a…

最优化与控制 · 数学 2025-06-19 Michał Jóźwikowski , Bartłomiej Sikorski

Many well-known combinatorial optimization problems can be stated over the set of acyclic orientations of an undirected graph. For example, acyclic orientations with certain diameter constraints are closely related to the optimal solutions…

离散数学 · 计算机科学 2008-10-15 Rosa M. V. Figueiredo , Valmir C. Barbosa , Nelson Maculan , Cid C. Souza

This paper is devoted to integrability conditions for systems of linear difference and differential equations with difference parameters. It is shown that such a system is difference isomonodromic if and only if it is difference…

交换代数 · 数学 2014-04-15 Alexey Ovchinnikov