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This paper considers a distributed stochastic optimization problem where the goal is to minimize the time average of a cost function subject to a set of constraints on the time averages of a related stochastic processes called penalties. We…

Information Theory · Computer Science 2016-10-06 B. N. Bharath , Vaishali P

Coordination of dynamical routes can alleviate traffic congestion and is essential for the coming era of autonomous self-driving cars. However, dynamical route coordination is difficult and many existing routing protocols are either static…

Statistical Mechanics · Physics 2019-04-24 Chi Ho Yeung

Asynchronous distributed stochastic gradient descent methods have trouble converging because of stale gradients. A gradient update sent to a parameter server by a client is stale if the parameters used to calculate that gradient have since…

Machine Learning · Statistics 2016-01-18 Augustus Odena

Distributed Stochastic Gradient Descent (SGD) when run in a synchronous manner, suffers from delays in runtime as it waits for the slowest workers (stragglers). Asynchronous methods can alleviate stragglers, but cause gradient staleness…

Machine Learning · Statistics 2020-03-25 Sanghamitra Dutta , Jianyu Wang , Gauri Joshi

Stein's method compares probability distributions through the study of a class of linear operators called Stein operators. While mainly studied in probability and used to underpin theoretical statistics, Stein's method has led to…

Urban spatio-temporal (ST) forecasting is crucial for various urban applications such as intelligent scheduling and trip planning. Previous studies focus on modeling ST correlations among urban locations in offline settings, which often…

Machine Learning · Computer Science 2024-11-26 Chengxin Wang , Gary Tan , Swagato Barman Roy , Beng Chin Ooi

The goal of robust motion planning consists of designing open-loop controls which optimally steer a system to a specific target region while mitigating uncertainties and disturbances which affect the dynamics. Recently, stochastic optimal…

Optimization and Control · Mathematics 2023-03-03 Clara Leparoux , Riccardo Bonalli , Bruno Hérissé , Frédéric Jean

We develop a new randomized iterative algorithm---stochastic dual ascent (SDA)---for finding the projection of a given vector onto the solution space of a linear system. The method is dual in nature: with the dual being a non-strongly…

Numerical Analysis · Mathematics 2016-01-29 Robert Mansel Gower , Peter Richtarik

Accurate static traffic assignment models are important tools for the assessment of strategic transportation policies. In this article we present a novel approach to partition road networks through network modularity to produce data-driven…

Systems and Control · Electrical Eng. & Systems 2022-11-28 Alexander Roocroft , Giuliano Punzo , Muhamad Azfar Ramli

Modern statistical inference tasks often require iterative optimization methods to compute the solution. Convergence analysis from an optimization viewpoint only informs us how well the solution is approximated numerically but overlooks the…

Machine Learning · Statistics 2020-07-27 Tengyuan Liang , Weijie Su

Recent works leveraging Graph Neural Networks to approach graph matching tasks have shown promising results. Recent progress in learning discrete distributions poses new opportunities for learning graph matching models. In this work, we…

Machine Learning · Computer Science 2021-09-14 Linfeng Liu , Michael C. Hughes , Soha Hassoun , Li-Ping Liu

In this manuscript, we present a novel approach for sampling from a continuous multivariate probability distribution, which may either be explicitly known (up to a normalization factor) or represented via empirical samples. Our method…

Machine Learning · Statistics 2025-03-14 Hamidreza Behjoo , Michael Chertkov

In scheduling problems, deterministic task durations are often assumed. This usually does not capture reality and may lead to schedules that are not robust to (small) changes to these task lengths. The use of stochastic task durations…

Optimization and Control · Mathematics 2026-05-25 Philip de Bruin , Bram Elderhorst , Marjan van den Akker , Han Hoogeveen

The scheduling problem is a key class of optimization problems and has various kinds of applications both in practical and theoretical scenarios. In the scheduling problem, probabilistic analysis is a basic tool for investigating…

Information Theory · Computer Science 2024-01-30 Daiki Suruga

We consider the transport statistics of classical bistable systems driven by noise. The stochastic path integral formalism is used to investigate the dynamics and distribution of transmitted charge. Switching rates between the two stable…

Statistical Mechanics · Physics 2007-05-23 Andrew N. Jordan , Eugene V. Sukhorukov

We introduce a novel approach based on stochastic optimization to find the optimal sampling distribution for the data-driven stability analysis of switched linear systems. Our goal is to address limitations of existing approaches, in…

Optimization and Control · Mathematics 2025-09-01 Alexis Vuille , Guillaume O. Berger , Raphaël M. Jungers

New simulation approaches to evaluating path-dependent options without matrix inversion issues nor Euler bias are evaluated. They employ three main contributions: Stochastic approximation replaces regression in the LSM algorithm; Explicit…

Pricing of Securities · Quantitative Finance 2018-04-13 Michael A. Kouritzin

Slow feature analysis (SFA) is a new technique for extracting slowly varying features from a quickly varying signal. It is shown here that SFA can be applied to nonstationary time series to estimate a single underlying driving force with…

Statistical Mechanics · Physics 2007-05-23 Laurenz Wiskott

In this paper, we propose a stochastic scheduling strategy for estimating the states of N discrete-time linear time invariant (DTLTI) dynamic systems, where only one system can be observed by the sensor at each time instant due to practical…

Optimization and Control · Mathematics 2015-06-23 Chong Li , Nicola Elia

Spatio-Temporal Graph (STG) forecasting is a fundamental task in many real-world applications. Spatio-Temporal Graph Neural Networks have emerged as the most popular method for STG forecasting, but they often struggle with temporal…

Machine Learning · Computer Science 2023-09-26 Yutong Xia , Yuxuan Liang , Haomin Wen , Xu Liu , Kun Wang , Zhengyang Zhou , Roger Zimmermann