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We introduce an extension of the Difference of Convex Algorithm (DCA) in the form of a randomized block coordinate approach for problems with separable structure. For $n$ coordinate-blocks and $k$ iterations, our main result proves a…

Optimization and Control · Mathematics 2025-12-01 Hoomaan Maskan , Paniz Halvachi , Suvrit Sra , Alp Yurtsever

In this paper, we present a predictor-corrector strategy for constructing rank-adaptive dynamical low-rank approximations (DLRAs) of matrix-valued ODE systems. The strategy is a compromise between (i) low-rank step-truncation approaches…

Numerical Analysis · Mathematics 2022-09-09 Cory Hauck , Stefan Schnake

Dual averaging and gradient descent with their stochastic variants stand as the two canonical recipe books for first-order optimization: Every modern variant can be viewed as a descendant of one or the other. In the convex regime, these…

Optimization and Control · Mathematics 2025-05-28 Tuo Liu , El Mehdi Saad , Wojciech Kotłowski , Francesco Orabona

This work considers the decentralized successive convex approximation (SCA) method for minimizing stochastic non-convex objectives subject to convex constraints, along with possibly non-smooth convex regularizers. Although SCA has been…

Optimization and Control · Mathematics 2024-05-29 Basil M. Idrees , Shivangi Dubey Sharma , Ketan Rajawat

We establish new theoretical convergence guarantees for the difference-of-convex algorithm (DCA), where the second function is allowed to be weakly-convex, measuring progress via composite gradient mapping. Based on a tight analysis of two…

Optimization and Control · Mathematics 2026-01-23 Teodor Rotaru , Panagiotis Patrinos , François Glineur

Domain adaptive semantic segmentation refers to making predictions on a certain target domain with only annotations of a specific source domain. Current state-of-the-art works suggest that performing category alignment can alleviate domain…

Computer Vision and Pattern Recognition · Computer Science 2021-05-12 Shuang Li , Binhui Xie , Bin Zang , Chi Harold Liu , Xinjing Cheng , Ruigang Yang , Guoren Wang

The goal of continual learning is to improve the performance of recognition models in learning sequentially arrived data. Although most existing works are established on the premise of learning from scratch, growing efforts have been…

Computer Vision and Pattern Recognition · Computer Science 2023-10-10 Gengwei Zhang , Liyuan Wang , Guoliang Kang , Ling Chen , Yunchao Wei

Deep Neural Networks ( DNN s) are known to make overconfident mistakes, which makes their use problematic in safety-critical applications. State-of-the-art ( SOTA ) calibration techniques improve on the confidence of predicted labels alone…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Ramya Hebbalaguppe , Jatin Prakash , Neelabh Madan , Chetan Arora

Randomized Uphill Climbing is a lightweight, stochastic search heuristic that has delivered state of the art equity alpha factors for quantitative hedge funds. I propose to generalize RUC into a model agnostic feature optimization framework…

Machine Learning · Computer Science 2025-05-08 Nguyen Van Thanh

This paper studies Semi-Supervised Domain Adaptation (SSDA), a practical yet under-investigated research topic that aims to learn a model of good performance using unlabeled samples and a few labeled samples in the target domain, with the…

Computer Vision and Pattern Recognition · Computer Science 2021-08-24 Kai Li , Chang Liu , Handong Zhao , Yulun Zhang , Yun Fu

We propose and analyze random subspace variants of the second-order Adaptive Regularization using Cubics (ARC) algorithm. These methods iteratively restrict the search space to some random subspace of the parameters, constructing and…

Optimization and Control · Mathematics 2025-01-17 Coralia Cartis , Zhen Shao , Edward Tansley

We propose an efficient algorithm for solving orthogonal canonical correlation analysis (OCCA) in the form of trace-fractional structure and orthogonal linear projections. Even though orthogonality has been widely used and proved to be a…

Machine Learning · Computer Science 2019-09-26 Leihong Zhang , Li Wang , Zhaojun Bai , Ren-cang Li

Stochastic network optimization problems entail finding resource allocation policies that are optimum on an average but must be designed in an online fashion. Such problems are ubiquitous in communication networks, where resources such as…

Optimization and Control · Mathematics 2018-05-09 Amrit S. Bedi , Ketan Rajawat

Deep domain adaptation methods can reduce the distribution discrepancy by learning domain-invariant embedddings. However, these methods only focus on aligning the whole data distributions, without considering the class-level relations among…

Computer Vision and Pattern Recognition · Computer Science 2019-01-23 Weijian Deng , Liang Zheng , Jianbin Jiao

Reinforcement Learning with Verifiable Rewards (RLVR) can elicit strong multi-step reasoning, yet it often encourages overly verbose traces. Moreover, naive length penalties in group-relative optimization can severely hurt accuracy. We…

Computation and Language · Computer Science 2026-02-03 Keqin Peng , Yuanxin Ouyang , Xuebo Liu , Zhiliang Tian , Ruijian Han , Yancheng Yuan , Liang Ding

We present two stochastic descent algorithms that apply to unconstrained optimization and are particularly efficient when the objective function is slow to evaluate and gradients are not easily obtained, as in some PDE-constrained…

Optimization and Control · Mathematics 2019-04-30 David Kozak , Stephen Becker , Alireza Doostan , Luis Tenorio

The Dynamical Cluster Approximation (DCA) is modified to include disorder. The DCA incorporates non-local corrections to local approximations such as the Coherent Potential Approximation (CPA) by mapping the lattice problem with disorder,…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Jarrell , H. R. Krishnamurthy

We consider stochastic gradient methods under the interpolation regime where a perfect fit can be obtained (minimum loss at each observation). While previous work highlighted the implicit regularization of such algorithms, we consider an…

Optimization and Control · Mathematics 2020-04-01 Anant Raj , Francis Bach

We propose an efficient Adaptive Random Convolutional Network Coding (ARCNC) algorithm to address the issue of field size in random network coding. ARCNC operates as a convolutional code, with the coefficients of local encoding kernels…

Information Theory · Computer Science 2016-11-17 Wangmei Guo , Ning Cai , Xiaomeng Shi , Muriel Medard

In this paper, we set the mathematical foundations of the Dynamical Low-Rank Approximation (DLRA) method for stochastic differential equations (SDEs). DLRA aims at approximating the solution as a linear combination of a small number of…

Numerical Analysis · Mathematics 2024-08-23 Yoshihito Kazashi , Fabio Nobile , Fabio Zoccolan