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We propose a novel algorithm for solving non-convex, nonlinear equality-constrained finite-sum optimization problems. The proposed algorithm incorporates an additional sampling strategy for sample size update into the well-known framework…

最优化与控制 · 数学 2025-08-05 Nataša Krejić , Nataša Krklec Jerinkić , Tijana Ostojić , Nemanja Vučićević

We present a selective sampling method designed to accelerate the training of deep neural networks. To this end, we introduce a novel measurement, the minimal margin score (MMS), which measures the minimal amount of displacement an input…

机器学习 · 计算机科学 2019-11-19 Berry Weinstein , Shai Fine , Yacov Hel-Or

This chapter explores advancements in decoding strategies for large language models (LLMs), focusing on enhancing the Locally Typical Sampling (LTS) algorithm. Traditional decoding methods, such as top-k and nucleus sampling, often struggle…

计算与语言 · 计算机科学 2025-06-12 Jaydip Sen , Saptarshi Sengupta , Subhasis Dasgupta

Independent component analysis (ICA) is a widely used BSS method that can uniquely achieve source recovery, subject to only scaling and permutation ambiguities, through the assumption of statistical independence on the part of the latent…

机器学习 · 统计学 2018-01-29 Zois Boukouvalas

The modified Method of Successive Approximations (MSA) is an iterative scheme for approximating solutions to stochastic control problems in continuous time based on Pontryagin Optimality Principle which, starting with an initial open loop…

最优化与控制 · 数学 2023-10-10 Deven Sethi , David Šiška

Many modern imaging applications can be modeled as compressed sensing linear inverse problems. When the measurement operator involved in the inverse problem is sufficiently random, denoising Scalable Message Passing (SMP) algorithms have a…

信息论 · 计算机科学 2024-10-28 Nikolajs Skuratovs , Michael Davies

We propose a new method that uses deep learning techniques to accelerate the popular alternating direction method of multipliers (ADMM) solution for inverse problems. The ADMM updates consist of a proximity operator, a least squares…

计算机视觉与模式识别 · 计算机科学 2017-11-16 Qi Wei , Kai Fan , Lawrence Carin , Katherine A. Heller

A new Levenberg--Marquardt (LM) method for solving nonlinear least squares problems with convex constraints is described. Various versions of the LM method have been proposed, their main differences being in the choice of a damping…

最优化与控制 · 数学 2024-05-16 Naoki Marumo , Takayuki Okuno , Akiko Takeda

In this work, we introduce a unifying Bregman-based majorization-minimization (MM) framework for solving nonconvex nonsmooth optimization problems. The proposed approach leverages Bregman divergences, possibly varying across iterations, to…

最优化与控制 · 数学 2026-04-15 Maxence Adly , Alix Chazottes , Emilie Chouzenoux , Jean-Christophe Pesquet , Florent Sureau

In this paper, we generalize a source generative model in a state-of-the-art blind source separation (BSS), independent low-rank matrix analysis (ILRMA). ILRMA is a unified method of frequency-domain independent component analysis and…

Decentralized optimization is critical for solving large-scale machine learning problems over distributed networks, where multiple nodes collaborate through local communication. In practice, the variances of stochastic gradient estimators…

最优化与控制 · 数学 2026-02-13 Hongxu Chen , Ke Wei , Luo Luo

In this paper, both non-mixing and mixing local minima of the entropy are analyzed from the viewpoint of blind source separation (BSS); they correspond respectively to acceptable and spurious solutions of the BSS problem. The contribution…

信息论 · 计算机科学 2016-11-17 F. Vrins , D. -T. Pham , M. Verleysen

Max-value entropy search (MES) is one of the state-of-the-art approaches in Bayesian optimization (BO). In this paper, we propose a novel variant of MES for constrained problems, called Constrained MES via Information lower BOund…

机器学习 · 计算机科学 2023-02-21 Shion Takeno , Tomoyuki Tamura , Kazuki Shitara , Masayuki Karasuyama

We study distributed big-data nonconvex optimization in multi-agent networks. We consider the (constrained) minimization of the sum of a smooth (possibly) nonconvex function, i.e., the agents' sum-utility, plus a convex (possibly) nonsmooth…

最优化与控制 · 数学 2018-09-03 Ivano Notarnicola , Ying Sun , Gesualdo Scutari , Giuseppe Notarstefano

Consider the problem of minimizing the sum of a smooth convex function and a separable nonsmooth convex function subject to linear coupling constraints. Problems of this form arise in many contemporary applications including signal…

最优化与控制 · 数学 2014-01-29 Mingyi Hong , Tsung-Hui Chang , Xiangfeng Wang , Meisam Razaviyayn , Shiqian Ma , Zhi-Quan Luo

A blind source separation method is described to extract sources from data mixtures where the underlying sources are assumed to be sparse and uncorrelated. The approach used is to detect and analyse segments of time where one source exists…

信号处理 · 电气工程与系统科学 2018-02-06 Malcolm Woolfson

Various gradient compression schemes have been proposed to mitigate the communication cost in distributed training of large scale machine learning models. Sign-based methods, such as signSGD, have recently been gaining popularity because of…

最优化与控制 · 数学 2021-06-25 Mher Safaryan , Peter Richtárik

This paper describes a method for multi-document update summarization that relies on a double maximization criterion. A Maximal Marginal Relevance like criterion, modified and so called Smmr, is used to select sentences that are close to…

信息检索 · 计算机科学 2010-04-21 Florian Boudin , Juan-Manuel Torres-Moreno , Marc El-Bèze

The stripe noise existing in remote sensing images badly degrades the visual quality and restricts the precision of data analysis. Therefore, many destriping models have been proposed in recent years. In contrast to these existing models,…

数值分析 · 数学 2023-08-21 Chengjing Wang , Xile Zhao , Qingsong Wang , Zepei Ma , Peipei Tang

Non-Gaussianity-based Independent Vector Extraction leads to the famous one-unit FastICA/FastIVA algorithm when the likelihood function is optimized using an approximate Newton-Raphson algorithm under the orthogonality constraint. In this…

信号处理 · 电气工程与系统科学 2024-07-15 Zbyněk Koldovský , Jiří Málek , Jaroslav Čmejla , Stephen O'Regan