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In \citep{Yangnips13}, the author presented distributed stochastic dual coordinate ascent (DisDCA) algorithms for solving large-scale regularized loss minimization. Extraordinary performances have been observed and reported for the…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-03-25 Tianbao Yang , Shenghuo Zhu , Rong Jin , Yuanqing Lin

Dynamic inner principal component analysis (DiPCA) is a powerful method for the analysis of time-dependent multivariate data. DiPCA extracts dynamic latent variables that capture the most dominant temporal trends by solving a large-scale,…

Systems and Control · Electrical Eng. & Systems 2020-03-16 Sungho Shin , Alex D. Smith , S. Joe Qin , Victor M. Zavala

Recent advances in citation recommendation have improved accuracy by leveraging multi-view representation learning to integrate the various modalities present in scholarly documents. However, effectively combining multiple data views…

Information Retrieval · Computer Science 2025-07-24 Conor McNamara , Effirul Ramlan

In two-sided matching market, when the regional constraints are present, the deferred acceptance (DA) algorithm suffers from undesirable inefficiency due to the artificial allocation of the regional caps among hospitals. We show that, given…

Theoretical Economics · Economics 2025-04-25 Elizabeth Nanami Aoi

This paper introduces AdaSDCA: an adaptive variant of stochastic dual coordinate ascent (SDCA) for solving the regularized empirical risk minimization problems. Our modification consists in allowing the method adaptively change the…

Optimization and Control · Mathematics 2015-03-02 Dominik Csiba , Zheng Qu , Peter Richtárik

The difference-of-convex algorithm (DCA) and its variants are the most popular methods to solve the difference-of-convex optimization problem. Each iteration of them is reduced to a convex optimization problem, which generally needs to be…

Optimization and Control · Mathematics 2025-05-19 Songnian He , Qiao-Li Dong , Michael Th. Rassias

The difference-of-convex algorithm (DCA) is a well-established nonlinear programming technique that solves successive convex optimization problems. These sub-problems are obtained from the difference-of-convex~(DC) decompositions of the…

Optimization and Control · Mathematics 2026-02-20 Hadi Abbaszadehpeivasti , Etienne de Klerk , Adrien Taylor

Distributed Constraint Optimization Problems (DCOPs) have been widely used to coordinate interactions (i.e. constraints) in cooperative multi-agent systems. The traditional DCOP model assumes that variables owned by the agents can take only…

Artificial Intelligence · Computer Science 2020-03-02 Amit Sarker , Abdullahil Baki Arif , Moumita Choudhury , Md. Mosaddek Khan

In this paper, we propose the Discriminative Multiple Canonical Correlation Analysis (DMCCA) for multimodal information analysis and fusion. DMCCA is capable of extracting more discriminative characteristics from multimodal information…

Machine Learning · Computer Science 2021-03-02 Lei Gao , Lin Qi , Enqing Chen , Ling Guan

The Dendritic Cell Algorithm (DCA) is an immune-inspired algorithm, developed for the purpose of anomaly detection. The algorithm performs multi-sensor data fusion and correlation which results in a 'context aware' detection system.…

Artificial Intelligence · Computer Science 2010-07-05 Julie Greensmith , Jan Feyereisl , Uwe Aickelin

Stochastic Gradient Descent (SGD) has become popular for solving large scale supervised machine learning optimization problems such as SVM, due to their strong theoretical guarantees. While the closely related Dual Coordinate Ascent (DCA)…

Machine Learning · Statistics 2015-03-20 Shai Shalev-Shwartz , Tong Zhang

In this paper, we present two variants of DCA (Different of Convex functions Algorithm) to solve the constrained sum of differentiable function and composite functions minimization problem, with the aim of increasing the convergence speed…

Optimization and Control · Mathematics 2018-06-27 Hoai An Le Thi , Hoai Minh Le , Duy Nhat Phan , Bach Tran

We consider primal-dual algorithms for general empirical risk minimization problems in distributed settings, focusing on two prominent classes of algorithms. The first class is the communication-efficient distributed dual coordinate ascent…

Optimization and Control · Mathematics 2025-10-24 Runxiong Wu , Dong Liu , Xueqin Wang , Andi Wang

Augmenting algorithms with learned predictions is a promising approach for going beyond worst-case bounds. Dinitz, Im, Lavastida, Moseley, and Vassilvitskii~(2021) have demonstrated that a warm start with learned dual solutions can improve…

Machine Learning · Computer Science 2022-05-23 Shinsaku Sakaue , Taihei Oki

Analog quantum algorithms are formulated in terms of Hamiltonians rather than unitary gates and include quantum adiabatic computing, quantum annealing, and the quantum approximate optimization algorithm (QAOA). These algorithms are…

Distributed optimization algorithms are essential for training machine learning models on very large-scale datasets. However, they often suffer from communication bottlenecks. Confronting this issue, a communication-efficient primal-dual…

Optimization and Control · Mathematics 2017-11-16 Chenxin Ma , Martin Jaggi , Frank E. Curtis , Nathan Srebro , Martin Takáč

In this paper, we study the convergence rate of the DCA (Difference-of-Convex Algorithm), also known as the convex-concave procedure, with two different termination criteria that are suitable for smooth and nonsmooth decompositions…

Optimization and Control · Mathematics 2023-02-24 Hadi Abbaszadehpeivasti , Etienne de Klerk , Moslem Zamani

Finding informative low-dimensional representations that can be computed efficiently in large datasets is an important problem in data analysis. Recently, contrastive Principal Component Analysis (cPCA) was proposed as a more informative…

Machine Learning · Statistics 2022-11-16 Siavash Golkar , David Lipshutz , Tiberiu Tesileanu , Dmitri B. Chklovskii

The AAA algorithm, introduced in 2018, computes best or near-best rational approximations to functions or data on subsets of the real line or the complex plane. It is much faster and more robust than previous algorithms for such problems…

Numerical Analysis · Mathematics 2023-12-07 Yuji Nakatsukasa , Olivier Sete , Lloyd N. Trefethen

In this paper we study inexact dumped Newton method implemented in a distributed environment. We start with an original DiSCO algorithm [Communication-Efficient Distributed Optimization of Self-Concordant Empirical Loss, Yuchen Zhang and…

Machine Learning · Computer Science 2016-03-17 Chenxin Ma , Martin Takáč
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