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This paper proposes a novel proximal-gradient algorithm for a decentralized optimization problem with a composite objective containing smooth and non-smooth terms. Specifically, the smooth and nonsmooth terms are dealt with by gradient and…

最优化与控制 · 数学 2021-02-02 Zhi Li , Wei Shi , Ming Yan

Interpretation of Deep Neural Networks (DNNs) training as an optimal control problem with nonlinear dynamical systems has received considerable attention recently, yet the algorithmic development remains relatively limited. In this work, we…

机器学习 · 计算机科学 2021-06-14 Guan-Horng Liu , Tianrong Chen , Evangelos A. Theodorou

We propose a novel adaptive importance sampling algorithm which incorporates Stein variational gradient decent algorithm (SVGD) with importance sampling (IS). Our algorithm leverages the nonparametric transforms in SVGD to iteratively…

机器学习 · 统计学 2017-07-26 Jun Han , Qiang Liu

Stein variational gradient descent (SVGD) is a deterministic sampling algorithm that iteratively transports a set of particles to approximate given distributions, based on an efficient gradient-based update that guarantees to optimally…

机器学习 · 统计学 2017-11-15 Qiang Liu

Differential Dynamic Programming is an optimal control technique often used for trajectory generation. Many variations of this algorithm have been developed in the literature, including algorithms for stochastic dynamics or state and input…

最优化与控制 · 数学 2022-05-26 Dennis Gramlich , Carsten W. Scherer , Christian Ebenbauer

A crucial task in predictive maintenance is estimating the remaining useful life of physical systems. In the last decade, deep learning has improved considerably upon traditional model-based and statistical approaches in terms of predictive…

机器学习 · 计算机科学 2024-02-05 Luca Della Libera , Jacopo Andreoli , Davide Dalle Pezze , Mirco Ravanelli , Gian Antonio Susto

Trajectory optimization methods have achieved an exceptional level of performance on real-world robots in recent years. These methods heavily rely on accurate analytical models of the dynamics, yet some aspects of the physical world can…

A new decomposition optimization algorithm, called \textit{path-following gradient-based decomposition}, is proposed to solve separable convex optimization problems. Unlike path-following Newton methods considered in the literature, this…

最优化与控制 · 数学 2012-09-21 Quoc Tran Dinh , Ion Necoara , Moritz Diehl

We develop a new algorithm for non-convex stochastic optimization that finds an $\epsilon$-critical point in the optimal $O(\epsilon^{-3})$ stochastic gradient and Hessian-vector product computations. Our algorithm uses Hessian-vector…

机器学习 · 计算机科学 2021-07-13 Hoang Tran , Ashok Cutkosky

Stein variational gradient descent (SVGD) was recently proposed as a general purpose nonparametric variational inference algorithm [Liu & Wang, NIPS 2016]: it minimizes the Kullback-Leibler divergence between the target distribution and its…

机器学习 · 统计学 2018-10-31 Gianluca Detommaso , Tiangang Cui , Alessio Spantini , Youssef Marzouk , Robert Scheichl

State estimation in robotic systems presents significant challenges, particularly due to the prevalence of multimodal posterior distributions in real-world scenarios. One effective strategy for handling such complexity is to compute maximum…

机器人学 · 计算机科学 2026-01-27 Min-Won Seo , Solmaz S. Kia

In this work, we present a globalized stochastic semismooth Newton method for solving stochastic optimization problems involving smooth nonconvex and nonsmooth convex terms in the objective function. We assume that only noisy gradient and…

最优化与控制 · 数学 2018-03-12 Andre Milzarek , Xiantao Xiao , Shicong Cen , Zaiwen Wen , Michael Ulbrich

There are many approaches for training decision trees. This work introduces a novel gradient-based method for constructing decision trees that optimize arbitrary differentiable loss functions, overcoming the limitations of heuristic…

机器学习 · 计算机科学 2025-03-25 Andrei V. Konstantinov , Lev V. Utkin

We introduce $\textit{Stein transport}$, a novel methodology for Bayesian inference designed to efficiently push an ensemble of particles along a predefined curve of tempered probability distributions. The driving vector field is chosen…

机器学习 · 统计学 2024-12-02 Nikolas Nüsken

We propose a Stein variational distributionally robust controller for nonlinear dynamical systems with latent parametric uncertainty. The method is an alternative to conservative worst-case ambiguity-set optimization with a deterministic…

机器人学 · 计算机科学 2026-04-16 Hrishikesh Sathyanarayan , Ian Abraham

We propose a method of bi-coordinate variations for non-stationary and non-smooth optimization problems, which involve a single linear equality and box constraints. Here only approximation sequences are known instead of exact values of the…

最优化与控制 · 数学 2016-08-16 I. V. Konnov

This paper proposes a distributed stochastic algorithm with variance reduction for general smooth non-convex finite-sum optimization, which has wide applications in signal processing and machine learning communities. In distributed setting,…

最优化与控制 · 数学 2021-07-23 Xia Jiang , Xianlin Zeng , Jian Sun , Jie Chen

A new method for stochastic control based on neural networks and using randomisation of discrete random variables is proposed and applied to optimal stopping time problems. The method models directly the policy and does not need the…

计算金融 · 定量金融 2021-01-11 Thomas Deschatre , Joseph Mikael

Robot design optimization, imitation learning and system identification share a common problem which requires optimization over robot or task parameters at the same time as optimizing the robot motion. To solve these problems, we can use…

机器人学 · 计算机科学 2022-09-05 Traiko Dinev , Carlos Mastalli , Vladimir Ivan , Steve Tonneau , Sethu Vijayakumar

This letter presents a method to reduce the computational demands of including second-order dynamics sensitivity information into the Differential Dynamic Programming (DDP) trajectory optimization algorithm. An approach to DDP is developed…

机器人学 · 计算机科学 2022-07-01 John N. Nganga , Patrick M. Wensing