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Estimating probabilistic deformable template models is a new approach in the fields of computer vision and probabilistic atlases in computational anatomy. A first coherent statistical framework modelling the variability as a hidden random…

统计计算 · 统计学 2009-01-16 Stéphanie Allassonnière , Estelle Kuhn

Evolutionary algorithms, such as Differential Evolution, excel in solving real-parameter optimization challenges. However, the effectiveness of a single algorithm varies across different problem instances, necessitating considerable efforts…

神经与进化计算 · 计算机科学 2024-03-08 Hongshu Guo , Yining Ma , Zeyuan Ma , Jiacheng Chen , Xinglin Zhang , Zhiguang Cao , Jun Zhang , Yue-Jiao Gong

This thesis investigates the use of problem-specific knowledge to enhance a genetic algorithm approach to multiple-choice optimisation problems.It shows that such information can significantly enhance performance, but that the choice of…

神经与进化计算 · 计算机科学 2010-07-05 Uwe Aickelin

Differential equations in general and neural ODEs in particular are an essential technique in continuous-time system identification. While many deterministic learning algorithms have been designed based on numerical integration via the…

机器学习 · 计算机科学 2021-10-18 Lenart Treven , Philippe Wenk , Florian Dörfler , Andreas Krause

Sparse decision trees are one of the most common forms of interpretable models. While recent advances have produced algorithms that fully optimize sparse decision trees for prediction, that work does not address policy design, because the…

机器学习 · 计算机科学 2022-10-27 Ali Behrouz , Mathias Lecuyer , Cynthia Rudin , Margo Seltzer

This paper aims to develop distributed algorithms for nonconvex optimization problems with complicated constraints associated with a network. The network can be a physical one, such as an electric power network, where the constraints are…

最优化与控制 · 数学 2022-11-21 Kaizhao Sun , X. Andy Sun

Binary matrix optimization commonly arise in the real world, e.g., multi-microgrid network structure design problem (MGNSDP), which is to minimize the total length of the power supply line under certain constraints. Finding the global…

神经与进化计算 · 计算机科学 2023-11-27 Wenhua Li , Shengjun Huang , Tao Zhang , Rui Wang , Ling Wang

As the development of distributed systems progresses, more and more challenges arise and the need for developing optimized systems and for optimizing existing systems from multiple perspectives becomes more stringent. In this paper I…

数据结构与算法 · 计算机科学 2009-03-21 Mugurel Ionut Andreica

The optimization of dynamic problems is both widespread and difficult. When conducting dynamic optimization, a balance between reinitialization and computational expense has to be found. There are multiple approaches to this. In parallel…

神经与进化计算 · 计算机科学 2014-01-21 Ronald Hochreiter , Christoph Waldhauser

In this paper we deal with stochastic optimization problems where the data distributions change in response to the decision variables. Traditionally, the study of optimization problems with decision-dependent distributions has assumed…

最优化与控制 · 数学 2023-10-05 Zifan Wang , Changxin Liu , Thomas Parisini , Michael M. Zavlanos , Karl H. Johansson

Massive volumes of high-dimensional data that evolves over time is continuously collected by contemporary information processing systems, which brings up the problem of organizing this data into clusters, i.e. achieve the purpose of…

机器学习 · 计算机科学 2019-10-22 Di Xu , Tianhang Long , Junbin Gao

The paper studies a distributed constrained optimization problem, where multiple agents connected in a network collectively minimize the sum of individual objective functions subject to a global constraint being an intersection of the local…

最优化与控制 · 数学 2016-03-08 Jinlong Lei , Han-Fu Chen , Hai-Tao Fang

This paper presents a randomized algorithm for computing the near-optimal low-rank dynamic mode decomposition (DMD). Randomized algorithms are emerging techniques to compute low-rank matrix approximations at a fraction of the cost of…

数值分析 · 数学 2019-11-28 N. Benjamin Erichson , Lionel Mathelin , Steven L. Brunton , J. Nathan Kutz

Evolutionary algorithms are particularly effective for optimisation problems with dynamic and stochastic components. We propose multi-objective evolutionary approaches for the knapsack problem with stochastic profits under static and…

神经与进化计算 · 计算机科学 2024-04-15 Kokila Kasuni Perera , Aneta Neumann

We present a stochastic setting for optimization problems with nonsmooth convex separable objective functions over linear equality constraints. To solve such problems, we propose a stochastic Alternating Direction Method of Multipliers…

机器学习 · 计算机科学 2013-01-23 Hua Ouyang , Niao He , Alexander Gray

We develop a new consensus-based distributed algorithm for solving learning problems with feature partitioning and non-smooth convex objective functions. Such learning problems are not separable, i.e., the associated objective functions…

信号处理 · 电气工程与系统科学 2022-08-25 Cristiano Gratton , Naveen K. D. Venkategowda , Reza Arablouei , Stefan Werner

This paper introduces a novel approach to contextual stochastic optimization, integrating operations research and machine learning to address decision-making under uncertainty. Traditional methods often fail to leverage contextual…

机器学习 · 计算机科学 2025-05-09 Louis Bouvier , Thibault Prunet , Vincent Leclère , Axel Parmentier

We develop the method of stochastic modified equations (SME), in which stochastic gradient algorithms are approximated in the weak sense by continuous-time stochastic differential equations. We exploit the continuous formulation together…

机器学习 · 计算机科学 2017-06-21 Qianxiao Li , Cheng Tai , Weinan E

Evolutionary algorithms based on modeling the statistical dependencies (interactions) between the variables have been proposed to solve a wide range of complex problems. These algorithms learn and sample probabilistic graphical models able…

神经与进化计算 · 计算机科学 2015-11-19 Murilo Zangari de Souza , Roberto Santana , Aurora Trinidad Ramirez Pozo , Alexander Mendiburu

Evolution Strategies (ESs) have recently become popular for training deep neural networks, in particular on reinforcement learning tasks, a special form of controller design. Compared to classic problems in continuous direct search, deep…

神经与进化计算 · 计算机科学 2018-07-03 Nils Müller , Tobias Glasmachers
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