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Semidefinite programs (SDPs) can be solved in polynomial time by interior point methods. However, when the dimension of the problem gets large, interior point methods become impractical in terms of both computational time and memory…

最优化与控制 · 数学 2023-11-27 Federico Battista , Marianna De Santis

Support vector machines (SVMs) are a standard method in the machine learning toolbox, in particular for tabular data. Non-linear kernel SVMs often deliver highly accurate predictors, however, at the cost of long training times. That problem…

机器学习 · 计算机科学 2022-07-05 Tobias Glasmachers

Over the past decade, various matrix completion algorithms have been developed. Thresholded singular value decomposition (SVD) is a popular technique in implementing many of them. A sizable number of studies have shown its theoretical and…

统计方法学 · 统计学 2016-05-10 Juhee Cho , Donggyu Kim , Karl Rohe

RISC-V processors encounter substantial challenges in deploying multi-precision deep neural networks (DNNs) due to their restricted precision support, constrained throughput, and suboptimal dataflow design. To tackle these challenges, a…

硬件体系结构 · 计算机科学 2024-07-16 Chuanning Wang , Chao Fang , Xiao Wu , Zhongfeng Wang , Jun Lin

We consider several classes of highly important semidefinite optimization problems that involve both a convex objective function (smooth or nonsmooth) and additional linear or nonlinear smooth and convex constraints, which are ubiquitous in…

最优化与控制 · 数学 2025-04-08 Dan Garber , Atara Kaplan

In order to compute fast approximations to the singular value decompositions (SVD) of very large matrices, randomized sketching algorithms have become a leading approach. However, a key practical difficulty of sketching an SVD is that the…

机器学习 · 统计学 2020-03-12 Miles E. Lopes , N. Benjamin Erichson , Michael W. Mahoney

Support vector machines (SVMs) are well-studied supervised learning models for binary classification. In many applications, large amounts of samples can be cheaply and easily obtained. What is often a costly and error-prone process is to…

最优化与控制 · 数学 2024-12-20 Veronica Piccialli , Jan Schwiddessen , Antonio M. Sudoso

This paper is on long-term video understanding where the goal is to recognise human actions over long temporal windows (up to minutes long). In prior work, long temporal context is captured by constructing a long-term memory bank consisting…

计算机视觉与模式识别 · 计算机科学 2024-06-12 Ioanna Ntinou , Enrique Sanchez , Georgios Tzimiropoulos

For a variety of regularized optimization problems in machine learning, algorithms computing the entire solution path have been developed recently. Most of these methods are quadratic programs that are parameterized by a single parameter,…

机器学习 · 计算机科学 2012-10-31 Bernd Gärtner , Martin Jaggi , Clément Maria

In this paper, the line spectral estimation (LSE) problem with multiple measurement vectors (MMVs) is studied utilizing the Bayesian methods. Motivated by the recently proposed variational line spectral estimation (VALSE) method, we develop…

信息论 · 计算机科学 2018-11-29 Jiang Zhu , Qi Zhang , Peter Gerstoft , Mihai-Alin Badiu , Zhiwei Xu

Collaborative filtering (CF) methods for recommendation systems have been extensively researched, ranging from matrix factorization and autoencoder-based to graph filtering-based methods. Recently, lightweight methods that require almost no…

信息检索 · 计算机科学 2024-05-09 Seoyoung Hong , Jeongwhan Choi , Yeon-Chang Lee , Srijan Kumar , Noseong Park

In this paper we explore acceleration techniques for large scale nonconvex optimization problems with special focuses on deep neural networks. The extrapolation scheme is a classical approach for accelerating stochastic gradient descent for…

机器学习 · 统计学 2018-05-18 Guangzeng Xie , Yitan Wang , Shuchang Zhou , Zhihua Zhang

We introduce a new nearest-prototype classifier, the prototype vector machine (PVM). It arises from a combinatorial optimization problem which we cast as a variant of the set cover problem. We propose two algorithms for approximating its…

机器学习 · 统计学 2009-08-18 Jacob Bien , Robert Tibshirani

The wider adoption of tightly coupled core-adjacent accelerators, such as Arm Scalable Matrix Extension (SME), hinges on lowering software programming complexity. In this paper, we focus on enabling the use of SME architecture in Streaming…

编程语言 · 计算机科学 2025-06-04 Mohamed Husain Noor Mohamed , Adarsh Patil , Latchesar Ionkov , Eric Van Hensbergen

This paper proposes the adaptation of Support Vector Data Description (SVDD) to the multiple kernel case (MK-SVDD), based on SimpleMKL. It also introduces a variant called Slim-MK-SVDD that is able to produce a tighter frontier around the…

机器学习 · 统计学 2017-12-08 Gaëlle Loosli , Hattoibe Aboubacar

Support Vector Data Description (SVDD) is a popular outlier detection technique which constructs a flexible description of the input data. SVDD computation time is high for large training datasets which limits its use in big-data…

机器学习 · 计算机科学 2018-11-02 Arin Chaudhuri , Deovrat Kakde , Maria Jahja , Wei Xiao , Hansi Jiang , Seunghyun Kong , Sergiy Peredriy

An efficient proximal-gradient-based method, called proximal extrapolated gradient method, is designed for solving monotone variational inequality in Hilbert space. The proposed method extends the acceptable range of parameters to obtain…

最优化与控制 · 数学 2019-12-05 Xiaokai Chang , Sanyang Liu , Jianchao Bai , Jun Yang

In this paper, we propose an optimization selection methodology for the ubiquitous sparse matrix-vector multiplication (SpMV) kernel. We propose two models that attempt to identify the major performance bottleneck of the kernel for every…

性能 · 计算机科学 2016-01-12 Athena Elafrou , Georgios Goumas , Nectarios Koziris

A new method for solving numerically stochastic partial differential equations (SPDEs) with multiple scales is presented. The method combines a spectral method with the heterogeneous multiscale method (HMM) presented in [W. E, D. Liu, and…

数值分析 · 数学 2015-05-28 A. Abdulle , G. A. Pavliotis

In this paper we propose an improved approximation scheme for the Vector Bin Packing problem (VBP), based on the combination of (near-)optimal solution of the Linear Programming (LP) relaxation and a greedy (modified first-fit) heuristic.…

数据结构与算法 · 计算机科学 2010-07-09 Chetan S Rao , Jeffrey John Geevarghese , Karthik Rajan