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We consider solving huge-scale instances of (convex) conic linear optimization problems, at the scale where matrix-factorization-free methods are attractive or necessary. The restarted primal-dual hybrid gradient method (rPDHG) -- with…

Optimization and Control · Mathematics 2024-07-16 Zikai Xiong , Robert M. Freund

Standard gradient-based iteration algorithms for optimization, such as gradient descent and its various proximal-based extensions to nonsmooth problems, are known to converge slowly for ill-conditioned problems, sometimes requiring many…

Numerical Analysis · Mathematics 2026-03-24 G. H. M. Araújo , O. A. Krzysik , H. De Sterck

We consider the downlink of a cell-free massive multiple-input multiple-output (MIMO) system where large number of access points (APs) simultaneously serve a group of users. Two fundamental problems are of interest, namely (i) to maximize…

Signal Processing · Electrical Eng. & Systems 2022-01-13 Muhammad Farooq , Hien Quoc Ngo , Le-Nam Tran

Learning-based point cloud compression presents superior performance to handcrafted codecs. However, pretrained-based methods, which are based on end-to-end training and expected to generalize to all the potential samples, suffer from…

Computer Vision and Pattern Recognition · Computer Science 2026-02-26 Wenjie Huang , Qi Yang , Shuting Xia , He Huang , Zhu Li , Yiling Xu

The increasing complexity of deep learning recommendation models (DLRM) has led to a growing need for large-scale distributed systems that can efficiently train vast amounts of data. In DLRM, the sparse embedding table is a crucial…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-07 Xin Zhang , Quanyu Zhu , Liangbei Xu , Zain Huda , Wang Zhou , Jin Fang , Dennis van der Staay , Yuxi Hu , Jade Nie , Jiyan Yang , Chunzhi Yang

Montgomery modular multiplication is widely-used in public key cryptosystems (PKC) and affects the efficiency of upper systems directly. However, modulus is getting larger due to the increasing demand of security, which results in a heavy…

Cryptography and Security · Computer Science 2026-03-17 Yuxuan Zhang , Hua Guo , Chen Chen , Yewei Guan , Xiyong Zhang , Zhenyu Guan

Deep learning-based recommendation models (DLRMs) are widely deployed in commercial applications to enhance user experience. However, the large and sparse embedding layers in these models impose substantial memory bandwidth bottlenecks due…

Hardware Architecture · Computer Science 2025-09-16 Yu-Hong Lai , Chieh-Lin Tsai , Wen Sheng Lim , Han-Wen Hu , Tei-Wei Kuo , Yuan-Hao Chang

The Stochastic Primal-Dual Hybrid Gradient (SPDHG) was proposed by Chambolle et al. (2018) and is an efficient algorithm to solve some nonsmooth large-scale optimization problems. In this paper we prove its almost sure convergence for…

Optimization and Control · Mathematics 2021-04-02 Eric B. Gutierrez , Claire Delplancke , Matthias J. Ehrhardt

This paper proposes and analyzes a tuning-free variant of Primal-Dual Hybrid Gradient (PDHG), and investigates its effectiveness for solving large-scale semidefinite programming (SDP). The core idea is based on the combination of two…

Optimization and Control · Mathematics 2024-02-02 Yinjun Wang , Haixiang Lan , Yinyu Ye

There is an urgent and pressing need to optimize usage of Graphical Processing Units (GPUs), which have arguably become one of the most expensive and sought after IT resources. To help with this goal, several of the current generation of…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-11 Bekir Turkkan , Pavankumar Murali , Pavithra Harsha , Rohan Arora , Gerard Vanloo , Chandra Narayanaswami

RRAM-based in-Memory Computing is an exciting road for implementing highly energy efficient neural networks. This vision is however challenged by RRAM variability, as the efficient implementation of in-memory computing does not allow error…

Emerging Technologies · Computer Science 2019-02-08 Marc Bocquet , Tifenn Hirztlin , Jacques-Olivier Klein , Etienne Nowak , Elisa Vianello , Jean-Michel Portal , Damien Querlioz

First-order optimization methods, such as stochastic gradient descent (SGD) and its variants, are widely used in machine learning applications due to their simplicity and low per-iteration costs. However, they often require larger numbers…

Machine Learning · Computer Science 2020-02-05 Chih-Hao Fang , Sudhir B Kylasa , Fred Roosta , Michael W. Mahoney , Ananth Grama

LLM-based applications have been widely used in various industries, but with the increasing of models size, an efficient large language model (LLM) inference system is an urgent problem to be solved for service providers. Since the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-30 Xing Chen , Rong Shi , Lu Zhao , Lingbin Wang , Xiao Jin , Yueqiang Chen , Hongfeng Sun

The rising computational and energy demands of deep learning, particularly in large-scale architectures such as foundation models and large language models (LLMs), pose significant challenges to sustainability. Traditional gradient-based…

Machine Learning · Computer Science 2025-09-19 Mohammad Saleh Vahdatpour , Huaiyuan Chu , Yanqing Zhang

In this paper we propose an efficient distributed algorithm for solving loosely coupled convex optimization problems. The algorithm is based on a primal-dual interior-point method in which we use the alternating direction method of…

Optimization and Control · Mathematics 2015-02-10 Mariette Annergren , Sina Khoshfetrat Pakazad , Anders Hansson , Bo Wahlberg

Software-hardware co-design is essential for optimizing in-memory computing (IMC) hardware accelerators for neural networks. However, most existing optimization frameworks target a single workload, leading to highly specialized hardware…

Hardware Architecture · Computer Science 2026-03-05 Olga Krestinskaya , Mohammed E. Fouda , Ahmed Eltawil , Khaled N. Salama

In this paper, we introduce a practical GPU-enhanced matrix-free first-order method for solving large-scale conic programming problems, which we refer to as PDCS, standing for the Primal-Dual Conic Programming Solver. Problems that it…

Optimization and Control · Mathematics 2026-04-03 Zhenwei Lin , Zikai Xiong , Dongdong Ge , Yinyu Ye

Large Language Models (LLMs) deployed on edge devices learn through fine-tuning and updating a certain portion of their parameters. Although such learning methods can be optimized to reduce resource utilization, the overall required…

Machine Learning · Computer Science 2024-05-09 Ruiyang Qin , Zheyu Yan , Dewen Zeng , Zhenge Jia , Dancheng Liu , Jianbo Liu , Zhi Zheng , Ningyuan Cao , Kai Ni , Jinjun Xiong , Yiyu Shi

We implement two novel algorithms for sparse-matrix dense-matrix multiplication (SpMM) on the GPU. Our algorithms expect the sparse input in the popular compressed-sparse-row (CSR) format and thus do not require expensive format conversion.…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-13 Carl Yang , Aydin Buluc , John D. Owens

In-memory computing is a promising alternative to traditional computer designs, as it helps overcome performance limits caused by the separation of memory and processing units. However, many current approaches struggle with unreliable…