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Crossbar architectures have long been seen as a promising foundation for in-memory computing, using memristor arrays for high-density, energy-efficient analog computation. However, this conventional architecture suffers from a fundamental…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Tingwei Zhang , Jiahui Liu , David Allstot , Huaping Liu

The emerging memristor crossbar array based computing circuits exhibit computing speeds and energy efficiency far surpassing those of traditional digital processors. This type of circuits can complete high-dimensional matrix operations in…

Signal Processing · Electrical Eng. & Systems 2025-06-05 Jia-Hui Bi , Shaoshi Yang , Sheng Chen , Ping Zhang

He and Yuan's prediction-correction framework [SIAM J. Numer. Anal. 50: 700-709, 2012] is able to provide convergent algorithms for solving separable convex optimization problems at a rate of $O(1/t)$ ($t$ represents iteration times) in…

Optimization and Control · Mathematics 2024-02-06 Tao Zhang , Yong Xia , Shiru Li

This paper introduces a parallel and distributed extension to the alternating direction method of multipliers (ADMM) for solving convex problem: minimize $\sum_{i=1}^N f_i(x_i)$ subject to $\sum_{i=1}^N A_i x_i=c, x_i\in \mathcal{X}_i$. The…

Optimization and Control · Mathematics 2014-03-20 Wei Deng , Ming-Jun Lai , Zhimin Peng , Wotao Yin

The uniform quadratic optimizatin problem (UQ) is a nonconvex quadratic constrained quadratic programming (QCQP) sharing the same Hessian matrix. Based on the second-order cone programming (SOCP) relaxation, we establish a new sufficient…

Optimization and Control · Mathematics 2015-08-06 Shu Wang , Yong Xia

From a dual perspective of the sparse representation model, Nam et al. proposed the cosparse analysis model. In this paper, we aim to investigate the convergence of the alternating direction method of multipliers (ADMM) for the cosparse…

Optimization and Control · Mathematics 2023-11-23 Zisheng Liu , Ting Zhang

Memristors have demonstrated immense potential as building blocks in future adaptive neuromorphic architectures. Recently, there has been focus on emulating specific synaptic functions of the mammalian nervous system by either tailoring the…

Disordered Systems and Neural Networks · Physics 2018-04-19 Taimur Ahmed , Sumeet Walia , Edwin Mayes , Rajesh Ramanathan , Vipul Bansal , Madhu Bhaskaran , Sharath Sriram , Omid Kavehei

The alternating direction method of multipliers (ADMM) is widely used in solving structured convex optimization problems due to its superior practical performance. On the theoretical side however, a counterexample was shown in [7]…

Optimization and Control · Mathematics 2015-05-20 Tianyi Lin , Shiqian Ma , Shuzhong Zhang

In this paper, we propose a cross subcarrier precoder design (CSPD) for massive multiple-input multiple-output (MIMO) orthogonal frequency division multiplexing (OFDM) systems. The aim is to maximize the weighted sum-rate (WSR) performance…

Information Theory · Computer Science 2025-03-11 Yuxuan Zhang , An-An Lu , Xiqi Gao

Multi-block separable convex problems recently received considerable attention. This class of optimization problems minimizes a separable convex objective function with linear constraints. The algorithmic challenges come from the fact that…

Optimization and Control · Mathematics 2016-08-18 Qia Li , Yuesheng Xu , Na Zhang

There is an increasing interest in quantum algorithms for optimization problems. Within convex optimization, interior-point methods and other recently proposed quantum algorithms are non-trivial to implement on noisy quantum devices. Here,…

Quantum Physics · Physics 2025-09-16 Jakub Marecek , Albert Akhriev

We introduce a new approach to develop stochastic optimization algorithms for a class of stochastic composite and possibly nonconvex optimization problems. The main idea is to combine two stochastic estimators to create a new hybrid one. We…

Optimization and Control · Mathematics 2020-05-05 Quoc Tran-Dinh , Nhan H. Pham , Dzung T. Phan , Lam M. Nguyen

Memristors have emerged as key candidates for beyond-von-Neumann neuromorphic or in-memory computing owing to the feasibility of their ultrahigh-density three-dimensional integration and their ultralow energy consumption. A memristor is…

Materials Science · Physics 2021-08-06 Lingxiang Hu , Jing Yang , Jingrui Wang , Peihong Cheng , Leon O. Chua , Fei Zhuge

This work demonstrates a hardware-efficient support vector machine (SVM) training algorithm via the alternative direction method of multipliers (ADMM) optimizer. Low-rank approximation is exploited to reduce the dimension of the kernel…

Signal Processing · Electrical Eng. & Systems 2019-07-24 Shuo-An Huang , Chia-Hsiang Yang

We present a novel cryptography architecture based on memristor crossbar array, binary hypervectors, and neural network. Utilizing the stochastic and unclonable nature of memristor crossbar and error tolerance of binary hypervectors and…

Cryptography and Security · Computer Science 2022-01-28 Jack Cai , Amirali Amirsoleimani , Roman Genov

Edge devices operating in dynamic environments critically need the ability to continually learn without catastrophic forgetting. The strict resource constraints in these devices pose a major challenge to achieve this, as continual learning…

Systems and Control · Electrical Eng. & Systems 2024-11-12 Fatima Tuz Zohora , Vedant Karia , Nicholas Soures , Dhireesha Kudithipudi

This dissertation explores block decomposable methods for large-scale optimization problems. It focuses on alternating direction method of multipliers (ADMM) schemes and block coordinate descent (BCD) methods. Specifically, it introduces a…

Optimization and Control · Mathematics 2026-01-15 Leandro Farias Maia

Compute in-memory (CIM) is a promising technique that minimizes data transport, the primary performance bottleneck and energy cost of most data intensive applications. This has found wide-spread adoption in accelerating neural networks for…

Hardware Architecture · Computer Science 2020-08-18 Brian Crafton , Samuel Spetalnick , Gauthaman Murali , Tushar Krishna , Sung-Kyu Lim , Arijit Raychowdhury

The alternating direction method of multipliers (ADMM) were extensively investigated in the past decades for solving separable convex optimization problems. Fewer researchers focused on exploring its convergence properties for the nonconvex…

Numerical Analysis · Mathematics 2019-07-02 Jianchao Bai , Junli Liang , Ke Guo , Yang Jing

Recent advances in neural-network architecture allow for seamless integration of convex optimization problems as differentiable layers in an end-to-end trainable neural network. Integrating medium and large scale quadratic programs into a…

Optimization and Control · Mathematics 2021-12-15 Andrew Butler , Roy Kwon
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