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Alternating minimization methods have recently been proposed as alternatives to the gradient descent for deep neural network optimization. Alternating minimization methods can typically decompose a deep neural network into layerwise…

Machine Learning · Computer Science 2020-09-18 Junxiang Wang , Zheng Chai , Yue Cheng , Liang Zhao

The Multi-Criteria Test Suite Minimization (MCTSM) problem aims to remove redundant test cases, guided by adequacy criteria such as code coverage or fault detection capability. However, current techniques either exhibit a high loss of fault…

Software Engineering · Computer Science 2025-04-25 Sijia Gu , Ali Mesbah

Reducing power consumption in AI accelerators is increasingly important. Approximate computing can reduce power consumption while keeping the accuracy loss small. Since multipliers are power-hungry components in AI models, this paper…

Machine Learning · Computer Science 2026-05-12 Chang Meng , Hanyu Wang , Yuyang Ye , Mingfei Yu , Wayne Burleson , Giovanni De Micheli

Fast combinational multipliers with large bit widths can occupy significant silicon area, which also drives up power consumption. Area can be reduced through resource sharing (i.e., folding) at the expense of lower throughput, which is…

Hardware Architecture · Computer Science 2025-09-03 Ahmad Houraniah , H. Fatih Ugurdag , C. Emre Dedeagac

Deploying neural networks on edge devices entails a careful balance between the energy required for inference and the accuracy of the resulting classification. One technique for navigating this tradeoff is approximate computing: the process…

Machine Learning · Computer Science 2025-09-18 Morteza Rezaalipour , Francesco Costa , Marco Biasion , Rodrigo Otoni , George A. Constantinides , Laura Pozzi

A switched-capacitor matrix multiplier is presented for approximate computing and machine learning applications. The multiply-and-accumulate operations perform discrete-time charge-domain signal processing using passive switches and 300 aF…

Emerging Technologies · Computer Science 2016-12-06 Edward H. Lee , S. Simon Wong

In recent years, randomized methods for numerical linear algebra have received growing interest as a general approach to large-scale problems. Typically, the essential ingredient of these methods is some form of randomized dimension…

Machine Learning · Statistics 2019-04-05 Miles E. Lopes , Shusen Wang , Michael W. Mahoney

A mathematical characterization of serially-pruned permutations (SPPs) employed in variable-length permuters and their associated fast pruning algorithms and architectures are proposed. Permuters are used in many signal processing systems…

Information Theory · Computer Science 2014-10-21 Mohammad M. Mansour

The ever-increasing quest for data-level parallelism and variable precision in ubiquitous multimedia and Deep Neural Network (DNN) applications has motivated the use of Single Instruction, Multiple Data (SIMD) architectures. To alleviate…

Hardware Architecture · Computer Science 2020-11-03 Zahra Ebrahimi , Salim Ullah , Akash Kumar

Approximate multipliers are widely being advocated for energy-efficient computing in applications that exhibit an inherent tolerance to inaccuracy. However, the inclusion of accuracy as a key design parameter, besides the performance, area…

Emerging Technologies · Computer Science 2018-03-20 Mahmoud Masadeh , Osman Hasan , Sofiene Tahar

In contrast with many other convex optimization classes, state-of-the-art semidefinite programming solvers are yet unable to efficiently solve large scale instances. This work aims to reduce this scalability gap by proposing a novel…

Optimization and Control · Mathematics 2018-12-20 Mario Souto , Joaquim D. Garcia , Alvaro Veiga

In this paper, we propose StruM, a novel structured mixed-precision-based deep learning inference method, co-designed with its associated hardware accelerator (DPU), to address the escalating computational and memory demands of deep…

Hardware Architecture · Computer Science 2025-05-20 Michael Wu , Arnab Raha , Deepak A. Mathaikutty , Martin Langhammer , Engin Tunali , Daksha Sharma

Reduced numerical precision is a common technique to reduce computational cost in many Deep Neural Networks (DNNs). While it has been observed that DNNs are resilient to small errors and noise, no general result exists that is capable of…

Machine Learning · Statistics 2018-05-04 Zhaoqi Li , Yu Ma , Catalina Vajiac , Yunkai Zhang

A highly anticipated use of quantum computers is the simulation of complex quantum systems including molecules and other many-body systems. One promising method involves directly applying a linear combination of unitaries (LCU) to…

Quantum Physics · Physics 2022-02-02 Richard Meister , Simon C. Benjamin , Earl T. Campbell

Large language models (LLMs) have shown impressive performance on language tasks but face challenges when deployed on resource-constrained devices due to their extensive parameters and reliance on dense multiplications, resulting in high…

Machine Learning · Computer Science 2024-11-20 Haoran You , Yipin Guo , Yichao Fu , Wei Zhou , Huihong Shi , Xiaofan Zhang , Souvik Kundu , Amir Yazdanbakhsh , Yingyan Celine Lin

Matrix multiplication performance has long been the major bottleneck to scaling deep learning workloads, which has stimulated the design of new accelerators that use increasingly low-precision number formats. However, improvements in matrix…

Machine Learning · Computer Science 2026-03-16 Callum McLean , Luke Y. Prince , Alexandre Payot , Paul Balança , Carlo Luschi

We present a dimension-incremental algorithm for the nonlinear approximation of high-dimensional functions in an arbitrary bounded orthonormal product basis. Our goal is to detect a suitable truncation of the basis expansion of the…

Numerical Analysis · Mathematics 2023-04-28 Lutz Kämmerer , Daniel Potts , Fabian Taubert

We study numerical integration of smooth functions defined over the $s$-dimensional unit cube. A recent work by Dick et al. (2019) has introduced so-called extrapolated polynomial lattice rules, which achieve the almost optimal rate of…

Numerical Analysis · Mathematics 2020-07-15 Takashi Goda

Vector multiplication is a fundamental operation for AI acceleration, responsible for over 85% of computational load in convolution tasks. While essential, these operations are primary drivers of area, power, and delay in modern datapath…

Hardware Architecture · Computer Science 2026-02-24 Md Rownak Hossain Chowdhury , Mostafizur Rahman

Spike and slab priors play a key role in inducing sparsity for sparse signal recovery. The use of such priors results in hard non-convex and mixed integer programming problems. Most of the existing algorithms to solve the optimization…

Methodology · Statistics 2019-04-02 Fekadu L. Bayisa , Zhiyong Zhou , Ottmar Cronie , Jun Yu