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The DTW Barycenter Averaging (DBA) algorithm is a widely used algorithm for estimating the mean of a given set of point sequences. In this context, the mean is defined as a point sequence that minimises the sum of dynamic time warping…

计算几何 · 计算机科学 2024-01-12 Frederik Brüning , Anne Driemel , Alperen Ergür , Heiko Röglin

Trajectory optimization under uncertainty underpins a wide range of applications in robotics. However, existing methods are limited in terms of reasoning about sources of epistemic and aleatoric uncertainty, space and time correlations,…

机器人学 · 计算机科学 2023-09-28 Thomas Lew , Riccardo Bonalli , Marco Pavone

A privacy-preserving dynamic average consensus (DAC) algorithm is proposed that achieves consensus while preventing external eavesdroppers from inferring the reference signals and their derivatives. During the initialization phase, each…

系统与控制 · 电气工程与系统科学 2026-03-11 Mihitha Maithripala , Chenyang Qiu , Zongli Lin

Time Series Classification (TSC) is an important problem with numerous applications in science and technology. Dissimilarity-based approaches, such as Dynamic Time Warping (DTW), are classical methods for distinguishing time series when…

In this paper, we study accelerating a Laplacian-based dynamic average consensus algorithm by splitting the conventional delay-free disagreement feedback into weighted summation of a current and an outdated term. We determine for what…

多智能体系统 · 计算机科学 2019-12-11 Hossein Moradian , Solmaz S. Kia

This technical note studies the distributed average tracking problem for multiple time-varying signals with general linear dynamics, whose reference inputs are nonzero and not available to any agent in the network. In distributed fashion, a…

系统与控制 · 计算机科学 2013-12-31 Yu Zhao , Zhisheng Duan , Zhongkui Li

This paper presents an algorithm for calculating an ensemble of solutions to natural convection problems. The ensemble average is the most likely temperature distribution and its variance gives an estimate of prediction reliability.…

数值分析 · 数学 2017-08-03 Joseph A. Fiordilino

We study the distributed average consensus problem in multi-agent systems with directed communication links that are subject to quantized information flow. The goal of distributed average consensus is for the nodes, each associated with…

系统与控制 · 电气工程与系统科学 2019-07-26 Apostolos I. Rikos , Christoforos N. Hadjicostis

We consider a constrained Markov Decision Problem (CMDP) where the goal of an agent is to maximize the expected discounted sum of rewards over an infinite horizon while ensuring that the expected discounted sum of costs exceeds a certain…

机器学习 · 计算机科学 2024-11-01 Washim Uddin Mondal , Vaneet Aggarwal

The expectation-maximization (EM) algorithm is a well-known iterative method for computing maximum likelihood estimates from incomplete data. Despite its numerous advantages, a main drawback of the EM algorithm is its frequently observed…

统计计算 · 统计学 2018-08-14 Nicholas C. Henderson , Ravi Varadhan

Many randomized approximation algorithms operate by giving a procedure for simulating a random variable $X$ which has mean $\mu$ equal to the target answer, and a relative standard deviation bounded above by a known constant $c$. Examples…

统计计算 · 统计学 2019-08-16 Mark Huber

We present adaptive sequential SAA (sample average approximation) algorithms to solve large-scale two-stage stochastic linear programs. The iterative algorithm framework we propose is organized into \emph{outer} and \emph{inner} iterations…

最优化与控制 · 数学 2020-12-08 Raghu Pasupathy , Yongjia Song

We revisit the sample average approximation (SAA) approach for non-convex stochastic programming. We show that applying the SAA approach to problems with expected value equality constraints does not necessarily result in asymptotic…

最优化与控制 · 数学 2024-07-16 Thomas Lew , Riccardo Bonalli , Marco Pavone

In deep learning inference, model parameters are pruned and quantized to reduce the model size. Compression methods and common subexpression (CSE) elimination algorithms are applied on sparse constant matrices to deploy the models on…

机器学习 · 计算机科学 2023-03-29 Emre Bilgili , Arda Yurdakul

We present a new space-efficient approach, (SparseDTW), to compute the Dynamic Time Warping (DTW) distance between two time series that always yields the optimal result. This is in contrast to other known approaches which typically…

数据库 · 计算机科学 2012-01-17 Ghazi Al-Naymat , Sanjay Chawla , Javid Taheri

In this letter, we study the problem of accelerating reaching average consensus over connected graphs in a discrete-time communication setting. Literature has shown that consensus algorithms can be accelerated by increasing the graph…

最优化与控制 · 数学 2022-11-14 Amir-Salar Esteki , Hossein Moradian , Solmaz S. Kia

In this paper, we consider the parameter estimation problem over sensor networks in the presence of quantized data and directed communication links. We propose a two-stage algorithm aiming at achieving the centralized sample mean estimate…

系统与控制 · 计算机科学 2015-07-27 Shanying Zhu , Yeng Chai Soh , Lihua Xie

In this work, we analyze an efficient sampling-based algorithm for general-purpose reachability analysis, which remains a notoriously challenging problem with applications ranging from neural network verification to safety analysis of…

系统与控制 · 电气工程与系统科学 2022-04-15 Thomas Lew , Lucas Janson , Riccardo Bonalli , Marco Pavone

The increasing computational requirements of deep neural networks (DNNs) have led to significant interest in obtaining DNN models that are sparse, yet accurate. Recent work has investigated the even harder case of sparse training, where the…

机器学习 · 计算机科学 2021-12-16 Alexandra Peste , Eugenia Iofinova , Adrian Vladu , Dan Alistarh

We consider sampling from a Gibbs distribution by evolving a finite number of particles using a particular score estimator rather than Brownian motion. To accelerate the particles, we consider a second-order score-based ODE, similar to…

机器学习 · 统计学 2026-01-19 Hong Ye Tan , Stanley Osher , Wuchen Li