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We analyze (stochastic) gradient descent (SGD) with delayed updates on smooth quasi-convex and non-convex functions and derive concise, non-asymptotic, convergence rates. We show that the rate of convergence in all cases consists of two…

Machine Learning · Computer Science 2021-06-17 Sebastian U. Stich , Sai Praneeth Karimireddy

In the era of digitization, data centers have emerged as integral contributors sustaining our interlinked world, bearing responsibility for an increasing proportion of the world's energy consumption. To facilitate the their fast rollout…

Systems and Control · Electrical Eng. & Systems 2026-02-11 Junhong Liu , Fei Teng , Yunhe Hou

In this work, we study distributed sketching methods for large scale regression problems. We leverage multiple randomized sketches for reducing the problem dimensions as well as preserving privacy and improving straggler resilience in…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-23 Burak Bartan , Mert Pilanci

Recently, attention-based encoder-decoder (AED) models have shown high performance for end-to-end automatic speech recognition (ASR) across several tasks. Addressing overconfidence in such models, in this paper we introduce the concept of…

Audio and Speech Processing · Electrical Eng. & Systems 2021-12-16 Timo Lohrenz , Patrick Schwarz , Zhengyang Li , Tim Fingscheidt

Linguistic steganography (LS) conceals the presence of communication by embedding secret information into a text. How to generate a high-quality text carrying secret information is a key problem. With the widespread application of deep…

Cryptography and Security · Computer Science 2022-04-26 Xiaoyan Zheng , Hanzhou Wu

Linear programming (LP) relaxation is a standard technique for solving hard combinatorial optimization (CO) problems. Here we present a gradient descent algorithm which exploits the special structure of some LP relaxations induced by CO…

Optimization and Control · Mathematics 2020-11-17 Alexey Antonov

Although the distributed machine learning methods can speed up the training of large deep neural networks, the communication cost has become the non-negligible bottleneck to constrain the performance. To address this challenge, the gradient…

Machine Learning · Computer Science 2022-01-25 An Xu , Zhouyuan Huo , Heng Huang

We prove a general result demonstrating the power of Lagrangian relaxation in solving constrained maximization problems with arbitrary objective functions. This yields a unified approach for solving a wide class of {\em subset selection}…

Data Structures and Algorithms · Computer Science 2015-12-22 Ariel Kulik , Hadas Shachnai , Gal Tamir

In this paper, we study the problem of consensus-based distributed optimization where a network of agents, abstracted as a directed graph, aims to minimize the sum of all agents' cost functions collaboratively. In existing distributed…

Systems and Control · Electrical Eng. & Systems 2022-08-30 Xiaomeng Chen , Lingying Huang , Lidong He , Subhrakanti Dey , Ling Shi

Stochastic gradient descent (SGD) is a widely adopted iterative method for optimizing differentiable objective functions. In this paper, we propose and discuss a novel approach to scale up SGD in applications involving non-convex functions…

Machine Learning · Statistics 2022-10-07 Saad Mohamad , Hamad Alamri , Abdelhamid Bouchachia

Optimization problems with convex quadratic cost and polyhedral constraints are ubiquitous in signal processing, automatic control and decision-making. We consider here an enlarged problem class that allows to encode logical conditions and…

Optimization and Control · Mathematics 2026-04-09 Alberto De Marchi

The augmented Lagrangian method (ALM) is classic for canonical convex programming problems with linear constraints, and it finds many applications in various scientific computing areas. A major advantage of the ALM is that the step for…

Optimization and Control · Mathematics 2022-12-02 Bingsheng He , Feng Ma , Shengjie Xu , Xiaoming Yuan

We investigate a distributed optimization problem over a cooperative multi-agent time-varying network, where each agent has its own decision variables that should be set so as to minimize its individual objective subject to local…

Optimization and Control · Mathematics 2018-05-24 Chuanye Gu , Zhiyou Wu , Jueyou Li

This paper investigates the design of self-connected spatially coupled low-density parity-check (SC-LDPC) codes. First, a termination method is proposed to reduce rate loss. Particularly, a single-side open SC-LDPC ensemble is introduced,…

Information Theory · Computer Science 2023-07-03 Yihuan Liao , Min Qiu , Jinhong Yuan

With rise of machine learning (ML) and the proliferation of smart mobile devices, recent years have witnessed a surge of interest in performing ML in wireless edge networks. In this paper, we consider the problem of jointly improving data…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-31 Xin Zhang , Minghong Fang , Jia Liu , Zhengyuan Zhu

This paper investigates the problem on the minimum ellipsoid containing the intersection of multiple ellipsoids, which has been extensively applied to information science, target tracking and data fusion etc. There are three major…

Optimization and Control · Mathematics 2018-04-03 Zhiguo Wang , Xiaojing Shen , Yunmin Zhu

Operating reserve requirements in security-constrained economic dispatch (SCED) depend strongly on the assumed correlation structure of renewable forecast errors, yet that structure is usually specified exogenously rather than learned for…

Optimization and Control · Mathematics 2026-04-08 Owen Shen , Hung-po Chao , Haihao Lu , Patrick Jaillet

Recent advancements in deep learning-based image compression are notable. However, prevalent schemes that employ a serial context-adaptive entropy model to enhance rate-distortion (R-D) performance are markedly slow. Furthermore, the…

Applications · Statistics 2024-03-25 Haisheng Fu , Feng Liang , Jie Liang , Zhenman Fang , Guohe Zhang , Jingning Han

We are interested in optimally driving a dynamical system that can be influenced by exogenous noises. This is generally called a Stochastic Optimal Control (SOC) problem and the Dynamic Programming (DP) principle is the natural way of…

Optimization and Control · Mathematics 2010-12-16 Kengy Barty , Pierre Carpentier , Guy Cohen , Pierre Girardeau

Privacy and communication efficiency are important challenges in federated training of neural networks, and combining them is still an open problem. In this work, we develop a method that unifies highly compressed communication and…

Machine Learning · Computer Science 2021-12-09 Aleksei Triastcyn , Matthias Reisser , Christos Louizos