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The Bregman proximal gradient method (BPGM), which uses the Bregman distance as a proximity measure in the iterative scheme, has recently been re-developed for minimizing convex composite problems without the global Lipschitz gradient…

最优化与控制 · 数学 2025-04-16 Lei Yang , Kim-Chuan Toh

We demonstrate that Optimal Control Theory (OCT) with a state-dependent constraint which depends on the state of the system at each instant can reproduce the famous counterintuitive mechanism of Stimulated Raman adiabatic passage (STIRAP).…

量子物理 · 物理学 2017-01-09 Amine Jaouadi , Mamadou Ndong

Choosing the optimization algorithm that performs best on a given machine learning problem is often delicate, and there is no guarantee that current state-of-the-art algorithms will perform well across all tasks. Consequently, the more…

最优化与控制 · 数学 2024-06-25 Måns Williamson , Monika Eisenmann , Tony Stillfjord

This paper presents a multiscale approach to efficiently compute approximate optimal transport plans between point sets. It is particularly well-suited for point sets that are in high-dimensions, but are close to being intrinsically…

机器学习 · 计算机科学 2021-04-13 Samuel Gerber , Mauro Maggioni

To deal with very large datasets a mini-batch version of the Monte Carlo Markov Chain Stochastic Approximation Expectation-Maximization algorithm for general latent variable models is proposed. For exponential models the algorithm is shown…

统计计算 · 统计学 2023-08-30 Tabea Rebafka , Estelle Kuhn , Catherine Matias

With the development of urbanization, the scale of urban road network continues to expand, especially in some Asian countries. Short-term traffic state prediction is one of the bases of traffic management and control. Constrained by the…

系统与控制 · 电气工程与系统科学 2024-09-10 Pengfei Xu , Weifeng Li , Chenjie Xu , Jian Li

We propose a new modeling approach for scatter estimation and descattering in polyenergetic X-ray computed tomography (CT) based on fitting models to local neighborhoods of a training set. X-ray CT is widely used in medical and industrial…

图像与视频处理 · 电气工程与系统科学 2021-09-30 Michael T. McCann , Marc L. Klasky , Jennifer L. Schei , Saiprasad Ravishankar

Several structure-learning algorithms for staged trees, asymmetric extensions of Bayesian networks, have been proposed. However, these either do not scale efficiently as the number of variables considered increases, a priori restrict the…

统计方法学 · 统计学 2022-11-15 Peter Strong , Jim Q. Smith

In this paper, we present a novel method for co-clustering, an unsupervised learning approach that aims at discovering homogeneous groups of data instances and features by grouping them simultaneously. The proposed method uses the entropy…

机器学习 · 统计学 2017-05-22 Charlotte Laclau , Ievgen Redko , Basarab Matei , Younès Bennani , Vincent Brault

Minimizing sum of two functions under a linear constraint is what we called splitting problem. This convex optimization has wide applications in machine learning problems, such as Lasso, Group Lasso and Sparse logistic regression. A recent…

统计计算 · 统计学 2017-11-20 Sen Na , Cho-Jui Hsieh

We propose a new numerical scheme for Backward Stochastic Differential Equations based on branching processes. We approximate an arbitrary (Lipschitz) driver by local polynomials and then use a Picard iteration scheme. Each step of the…

数值分析 · 数学 2017-07-31 Bruno Bouchard , Xiaolu Tan , Xavier Warin , Yiyi Zou

This paper presents a novel meta algorithm, Partition-Merge (PM), which takes existing centralized algorithms for graph computation and makes them distributed and faster. In a nutshell, PM divides the graph into small subgraphs using our…

数据结构与算法 · 计算机科学 2013-09-25 Vincent Blondel , Kyomin Jung , Pushmeet Kohli , Devavrat Shah

Methods to extract information from the tracking of mobile objects/particles have broad interest in biological and physical sciences. Techniques based on simple criteria of proximity in time-consecutive snapshots are useful to identify the…

数据分析、统计与概率 · 物理学 2015-03-13 M. Chertkov , L. Kroc , F. Krzakala , M. Vergassola , L. Zdeborová

Living cells exhibit both growth and regeneration of body tissues. Epigenetic Tracking (ET), models this growth and regenerative qualities of living cells and has been used to generate complex 2D and 3D shapes. In this paper, we present an…

机器人学 · 计算机科学 2018-10-30 Rahul Shivnarayan Mishra , Tushar Semwal , Shivashankar B. Nair

Probabilistic graphical models are a key tool in machine learning applications. Computing the partition function, i.e., normalizing constant, is a fundamental task of statistical inference but it is generally computationally intractable,…

机器学习 · 统计学 2020-01-29 Sungsoo Ahn , Michael Chertkov , Adrian Weller , Jinwoo Shin

The so-called block-term decomposition (BTD) tensor model, especially in its rank-$(L_r,L_r,1)$ version, has been recently receiving increasing attention due to its enhanced ability of representing systems and signals that are composed of…

统计方法学 · 统计学 2022-05-04 Paris V. Giampouras , Athanasios A. Rontogiannis , Eleftherios Kofidis

Modeling relations between individuals is a classical question in social sciences, ecology, etc. In order to uncover a latent structure in the data, a popular approach consists in clustering individuals according to the observed patterns of…

统计方法学 · 统计学 2020-02-28 Avner Bar-Hen , Pierre Barbillon , Sophie Donnet

This paper reveals that a common and central role, played in many error bound (EB) conditions and a variety of gradient-type methods, is a residual measure operator. On one hand, by linking this operator with other optimality measures, we…

最优化与控制 · 数学 2018-05-17 Hui Zhang

A method for numerical approximation of a new class of fractional parabolic stochastic evolution equations is introduced and analysed. This class of equations has recently been proposed as a space-time extension of the SPDE-method in…

数值分析 · 数学 2026-04-30 S. Knutsen Furset

Most parallel applications suffer from load imbalance, a crucial performance degradation factor. In particle simulations, this is mainly due to the migration of particles between processing elements, which eventually gather unevenly and…

分布式、并行与集群计算 · 计算机科学 2021-08-26 Anthony Boulmier , Nabil Abdennadher , Bastien Chopard