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The performance of machine learning model can be further improved if contextual cues are provided as input along with base features that are directly related to an inference task. In offline learning, one can inspect historical training…

机器学习 · 计算机科学 2019-10-21 Kin Gwn Lore , Kishore K. Reddy

Regularized online learning is widely used in machine learning applications. In online learning, performing exact minimization ($i.e.,$ implicit update) is known to be beneficial to the numerical stability and structure of solution. In this…

机器学习 · 计算机科学 2019-02-08 Chaobing Song , Ji Liu , Han Liu , Yong Jiang , Tong Zhang

We propose a new version of the Frank-Wolfe method, called the (L0, L1)-Frank-Wolfe algorithm, developed for optimization problems with (L0, L1)-smooth objectives. We establish that this algorithm achieves superior theoretical convergence…

最优化与控制 · 数学 2026-05-21 A. A. Vyguzov , F. S. Stonyakin

Frank-Wolfe algorithm (FW) and its variants have gained a surge of interests in machine learning community due to its projection-free property. Recently people have reduced the gradient evaluation complexity of FW algorithm to…

机器学习 · 统计学 2018-05-22 Yan Li , Chao Qu , Huan Xu

Delay-Doppler (DD) signal processing has emerged as a powerful tool for analyzing multipath and time-varying channel effects. Due to the inherent sparsity of the wireless channel in the DD domain, compressed sensing (CS) based techniques,…

信号处理 · 电气工程与系统科学 2024-12-03 Hanning Wang , Xiang Huang , Rong-Rong Chen , Arman Farhang

A broad class of convex optimization problems can be formulated as a semidefinite program (SDP), minimization of a convex function over the positive-semidefinite cone subject to some affine constraints. The majority of classical SDP solvers…

最优化与控制 · 数学 2019-10-30 Francesco Locatello , Alp Yurtsever , Olivier Fercoq , Volkan Cevher

The Frank-Wolfe method and its extensions are well-suited for delivering solutions with desirable structural properties, such as sparsity or low-rank structure. We introduce a new variant of the Frank-Wolfe method that combines Frank-Wolfe…

最优化与控制 · 数学 2019-06-11 Paul Grigas , Alfonso Lobos , Nathan Vermeersch

We consider continuous-time dynamics for distributed optimization with set constraints in the paper. To handle the computational complexity of projection-based dynamics due to solving a general quadratic optimization subproblem with…

最优化与控制 · 数学 2022-06-24 Guanpu Chen , Peng Yi , Yiguang Hong , Jie Chen

This paper presents a unified approach for maximizing continuous DR-submodular functions that encompasses a range of settings and oracle access types. Our approach includes a Frank-Wolfe type offline algorithm for both monotone and…

机器学习 · 计算机科学 2024-01-15 Mohammad Pedramfar , Christopher John Quinn , Vaneet Aggarwal

Methods proposed in the literature towards continual deep learning typically operate in a task-based sequential learning setup. A sequence of tasks is learned, one at a time, with all data of current task available but not of previous or…

计算机视觉与模式识别 · 计算机科学 2019-08-20 Rahaf Aljundi , Klaas Kelchtermans , Tinne Tuytelaars

Learning from non-stationary data streams, also called Task-Free Continual Learning (TFCL) remains challenging due to the absence of explicit task information. Although recently some methods have been proposed for TFCL, they lack…

计算机视觉与模式识别 · 计算机科学 2022-10-14 Fei Ye , Adrian G. Bors

In constrained convex optimization, existing methods based on the ellipsoid or cutting plane method do not scale well with the dimension of the ambient space. Alternative approaches such as Projected Gradient Descent only provide a…

最优化与控制 · 数学 2021-11-11 Zakaria Mhammedi

Transfer learning has been demonstrated to be successful and essential in diverse applications, which transfers knowledge from related but different source domains to the target domain. Online transfer learning(OTL) is a more challenging…

机器学习 · 计算机科学 2020-02-12 Yuntao Du , Zhiwen Tan , Qian Chen , Yi Zhang , Chongjun Wang

The Frank Wolfe algorithm (FW) is a popular projection-free alternative for solving large-scale constrained optimization problems. However, the FW algorithm suffers from a sublinear convergence rate when minimizing a smooth convex function…

最优化与控制 · 数学 2021-10-20 Robin Francis , Sundeep Prabhakar Chepuri

This paper aims to enhance the use of the Frank-Wolfe (FW) algorithm for training deep neural networks. Similar to any gradient-based optimization algorithm, FW suffers from high computational and memory costs when computing gradients for…

机器学习 · 计算机科学 2024-12-30 M. Rostami , S. S. Kia

We propose Frank--Wolfe (FW) algorithms with an adaptive Bregman step-size strategy for smooth adaptable (also called: relatively smooth) (weakly-) convex functions. This means that the gradient of the objective function is not necessarily…

最优化与控制 · 数学 2026-02-19 Shota Takahashi , Sebastian Pokutta , Akiko Takeda

Federated Learning (FL) algorithms commonly sample a random subset of clients to address the straggler issue and improve communication efficiency. While recent works have proposed various client sampling methods, they have limitations in…

机器学习 · 计算机科学 2024-05-15 Jiaxiang Geng , Yanzhao Hou , Xiaofeng Tao , Juncheng Wang , Bing Luo

$ $The classical theory of statistical estimation aims to estimate a parameter of interest under data generated from a fixed design ("offline estimation"), while the contemporary theory of online learning provides algorithms for estimation…

机器学习 · 统计学 2024-04-17 Dylan J. Foster , Yanjun Han , Jian Qian , Alexander Rakhlin

Conditional gradient algorithms (also often called Frank-Wolfe algorithms) are popular due to their simplicity of only requiring a linear optimization oracle and more recently they also gained significant traction for online learning. While…

数据结构与算法 · 计算机科学 2018-09-06 Gábor Braun , Sebastian Pokutta , Daniel Zink

Projection-free optimization via different variants of the Frank-Wolfe (FW) method has become one of the cornerstones in large scale optimization for machine learning and computational statistics. Numerous applications within these fields…

最优化与控制 · 数学 2021-08-03 Pavel Dvurechensky , Kamil Safin , Shimrit Shtern , Mathias Staudigl