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Estimating causal interactions in complex dynamical systems is an important problem encountered in many fields of current science. While a theoretical solution for detecting the causal interactions has been previously formulated in the…

数据分析、统计与概率 · 物理学 2020-01-20 Jakub Kořenek , Jaroslav Hlinka

In this paper, we present an approximation of the matching coverage on large bipartite graphs, for {\em local} online matching algorithms based on the sole knowledge of the remaining degree of the nodes of the graph at hand. This…

概率论 · 数学 2021-05-11 Mohamed Habib Aliou Diallo Aoudi , Pascal Moyal , Vincent Robin

Calculating free energy differences is a topic of substantial interest and has many applications including molecular docking and hydration, solvation, and binding free energies which is used in computational drug discovery. However, in…

化学物理 · 物理学 2013-10-16 Asaf Farhi

Both bilevel and robust optimization are established fields of mathematical optimization and operations research. However, only until recently, the similarities in their mathematical structure has neither been studied theoretically nor…

最优化与控制 · 数学 2026-02-20 Henri Lefebvre , Martin Schmidt , Simon Stevens , Johannes Thürauf

We consider the task of performing probabilistic inference with probabilistic logical models. Many algorithms for approximate inference with such models are based on sampling. From a logic programming perspective, sampling boils down to…

人工智能 · 计算机科学 2015-03-19 Daan Fierens

Probabilistic programming is a growing area that strives to make statistical analysis more accessible, by separating probabilistic modelling from probabilistic inference. In practice this decoupling is difficult. No single inference…

编程语言 · 计算机科学 2022-04-15 Maria I. Gorinova

Coupled cluster theory is a vital cornerstone of electronic structure theory and is being applied to ever-larger systems. Stochastic approaches to quantum chemistry have grown in importance and offer compelling advantages over traditional…

The simulation of complex stochastic network dynamics arising, for instance, from models of coupled biomolecular processes remains computationally challenging. Often, the necessity to scan a models' dynamics over a large parameter space…

定量方法 · 定量生物学 2013-03-14 Tiago Ramalho , Marco Selig , Ulrich Gerland , Torsten A. Enßlin

We consider large linear and nonlinear fixed point problems, and solution with proximal algorithms. We show that there is a close connection between two seemingly different types of methods from distinct fields: 1) Proximal iterations for…

数值分析 · 计算机科学 2019-09-05 Dimitri P. Bertsekas

We introduce $(\varepsilon, \delta)$-bisimulation, a novel type of approximate probabilistic bisimulation for continuous-time Markov chains. In contrast to related notions, $(\varepsilon, \delta)$-bisimulation allows the use of different…

计算机科学中的逻辑 · 计算机科学 2025-05-23 Timm Spork , Christel Baier , Joost-Pieter Katoen , Sascha Klüppelholz , Jakob Piribauer

We consider a bilevel problem involving two monotone equilibrium bifunctions and we show that this problem can be solved by a proximal point method with generalized proximal distances. We propose a framework for the convergence analysis of…

最优化与控制 · 数学 2014-07-09 G. C. Bento , J. X. Cruz Neto , J. O. Lopes , P. A. Soares , A. Soubeyran

System performance for networks composed of interconnected subsystems can be increased if the traditionally separated subsystems are jointly optimized. Recently, parallel and distributed optimization methods have emerged as a powerful tool…

最优化与控制 · 数学 2013-02-14 Ion Necoara , Valentin Nedelcu , Ioan Dumitrache

We consider Bayesian analysis of a class of multiple changepoint models. While there are a variety of efficient ways to analyse these models if the parameters associated with each segment are independent, there are few general approaches…

统计计算 · 统计学 2009-10-19 Paul Fearnhead , Zhen Liu

Probabilistic concurrent systems are foundational models for modern mobile computing. In this paper, a unifying approach to probabilistic testing equivalences is proposed. With the help of a new distribution-based semantics for…

计算机科学中的逻辑 · 计算机科学 2026-04-08 Weijun Chen , Yuxi Fu , Huan Long , Hao Wu

We consider the estimation of Dirichlet Process Mixture Models (DPMMs) in distributed environments, where data are distributed across multiple computing nodes. A key advantage of Bayesian nonparametric models such as DPMMs is that they…

机器学习 · 统计学 2017-09-20 Ruohui Wang , Dahua Lin

Approximating periodic solutions to the coupled Duffing equations amounts to solving a system of polynomial equations. The number of complex solutions measures the algebraic complexity of this approximation problem. Using the theory of…

代数几何 · 数学 2022-08-18 Paul Breiding , Mateusz Michałek , Leonid Monin , Simon Telen

The widespread popularity of replica exchange and expanded ensemble algorithms for simulating complex molecular systems in chemistry and biophysics has generated much interest in enhancing phase space mixing of these protocols, thus…

统计力学 · 物理学 2011-12-06 John D. Chodera , Michael R. Shirts

Parameter estimation connects mathematical models to real-world data and decision making across many scientific and industrial applications. Standard approaches such as maximum likelihood estimation and Markov chain Monte Carlo estimate…

统计方法学 · 统计学 2026-02-06 Matthew J Simpson , James S Bennett , Alexander Johnston , Ruth E Baker

This paper develops new combinatorial approaches to analyze and compute special set partitions, called complementary set partitions, which are fundamental in the study of generalized cumulants. Moving away from traditional graph-based and…

统计理论 · 数学 2025-05-20 Elvira Di Nardo , Giuseppe Guarino

Univariate polynomial root-finding is both classical and important for modern computing. Frequently one seeks just the real roots of a polynomial with real coefficients. They can be approximated at a low computational cost if the polynomial…

数值分析 · 数学 2014-07-01 Victor Y. Pan