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We study Frank-Wolfe methods for nonconvex stochastic and finite-sum optimization problems. Frank-Wolfe methods (in the convex case) have gained tremendous recent interest in machine learning and optimization communities due to their…

Optimization and Control · Mathematics 2016-08-01 Sashank J. Reddi , Suvrit Sra , Barnabas Poczos , Alex Smola

Frank-Wolfe algorithms (FW) are popular first-order methods for solving constrained convex optimization problems that rely on a linear minimization oracle instead of potentially expensive projection-like oracles. Many works have identified…

Optimization and Control · Mathematics 2023-09-18 Elias Wirth , Thomas Kerdreux , Sebastian Pokutta

Data mining is an important and challenging problem for the efficient analysis of large astronomical databases and will become even more important with the development of the Global Virtual Observatory. In this study, learning vector…

Astrophysics · Physics 2009-11-10 Yanxia Zhang , Yongheng Zhao

Submodular functions can be exactly minimized in polynomial time, and the special case that graph cuts solve with max flow \cite{KZ:PAMI04} has had significant impact in computer vision \cite{BVZ:PAMI01,Kwatra:SIGGRAPH03,Rother:GrabCut04}.…

Computer Vision and Pattern Recognition · Computer Science 2013-10-02 Alexander Fix , Thorsten Joachims , Sam Park , Ramin Zabih

The support vector machine (SVM) is a supervised learning algorithm that finds a maximum-margin linear classifier, often after mapping the data to a high-dimensional feature space via the kernel trick. Recent work has demonstrated that in…

Machine Learning · Statistics 2026-04-16 Chiraag Kaushik , Andrew D. McRae , Mark A. Davenport , Vidya Muthukumar

The purpose of this survey is to serve both as a gentle introduction and a coherent overview of state-of-the-art Frank--Wolfe algorithms, also called conditional gradient algorithms, for function minimization. These algorithms are…

Support Vector Machines (SVMs) are popular tools for data mining tasks such as classification, regression, and density estimation. However, original SVM (C-SVM) only considers local information of data points on or over the margin.…

Artificial Intelligence · Computer Science 2010-09-28 Xin Liu , Ying Ding , Forrest Sheng Bao

We propose a randomized algorithm for training Support vector machines(SVMs) on large datasets. By using ideas from Random projections we show that the combinatorial dimension of SVMs is $O({log} n)$ with high probability. This estimate of…

Machine Learning · Computer Science 2009-09-22 Vinay Jethava , Krishnan Suresh , Chiranjib Bhattacharyya , Ramesh Hariharan

Tight and efficient neural network bounding is crucial to the scaling of neural network verification systems. Many efficient bounding algorithms have been presented recently, but they are often too loose to verify more challenging…

Machine Learning · Computer Science 2024-02-27 Alessandro De Palma , Harkirat Singh Behl , Rudy Bunel , Philip H. S. Torr , M. Pawan Kumar

Support vector clustering (SVC) is a versatile clustering technique that is able to identify clusters of arbitrary shapes by exploiting the kernel trick. However, one hurdle that restricts the application of SVC lies in its sensitivity to…

Machine Learning · Computer Science 2016-08-10 Dong Huang , Chang-Dong Wang , Jian-Huang Lai , Yun Liang , Shan Bian , Yu Chen

This paper considers distributed stochastic optimization, in which a number of agents cooperate to optimize a global objective function through local computations and information exchanges with neighbors over a network. Stochastic…

Optimization and Control · Mathematics 2022-08-09 Jie Hou , Xianlin Zeng , Gang Wang , Jian Sun , Jie Chen

To reduce LLM costs and latency, semantic caching systems must accurately identify when a new prompt matches a cached one. Current methods often rely on simplistic similarity measures, which limit their effectiveness. We introduce…

Information Retrieval · Computer Science 2026-05-26 Ali Noshad , Zishan Zheng , Yinjun Wu

Vision-Language Models (VLMs) are integral to tasks such as image captioning and visual question answering, but their high computational cost, driven by large memory footprints and processing time, limits their scalability and real-time…

Machine Learning · Computer Science 2025-10-21 Yutong Wang , Haiyu Wang , Sai Qian Zhang

In this paper we provide an introduction to the Frank-Wolfe algorithm, a method for smooth convex optimization in the presence of (relatively) complicated constraints. We will present the algorithm, introduce key concepts, and establish…

Optimization and Control · Mathematics 2023-11-30 Sebastian Pokutta

This paper proposes a new variant of Frank-Wolfe (FW), called $k$FW. Standard FW suffers from slow convergence: iterates often zig-zag as update directions oscillate around extreme points of the constraint set. The new variant, $k$FW,…

Optimization and Control · Mathematics 2021-11-17 Lijun Ding , Jicong Fan , Madeleine Udell

Recently, numerous algorithms have been developed to tackle the problem of vision-language navigation (VLN), i.e., entailing an agent to navigate 3D environments through following linguistic instructions. However, current VLN agents simply…

Computer Vision and Pattern Recognition · Computer Science 2021-03-08 Hanqing Wang , Wenguan Wang , Wei Liang , Caiming Xiong , Jianbing Shen

Spiking Neural Networks (SNNs) provide an energy-efficient way to extract 3D spatio-temporal features. However, existing SNNs still exhibit a significant performance gap compared to Artificial Neural Networks (ANNs) due to inadequate…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Xuerui Qiu , Peixi Wu , Yaozhi Wen , Shaowei Gu , Yuqi Pan , Xinhao Luo , Bo XU , Guoqi Li

Support Vector Machines (SVMs) are an important tool for performing classification on scattered data, where one usually has to deal with many data points in high-dimensional spaces. We propose solving SVMs in primal form using feature maps…

Machine Learning · Computer Science 2024-09-05 Kseniya Akhalaya , Franziska Nestler , Daniel Potts

Support vector machines (SVMs) are special kernel based methods and belong to the most successful learning methods since more than a decade. SVMs can informally be described as a kind of regularized M-estimators for functions and have…

Machine Learning · Statistics 2010-07-26 Andreas Christmann , Robert Hable

The sequential minimal optimization (SMO) algorithm and variants thereof are the de facto standard method for solving large quadratic programs for support vector machine (SVM) training. In this paper we propose a simple yet powerful…

Machine Learning · Computer Science 2013-08-01 Tobias Glasmachers