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Related papers: A Bit-Parallel Deterministic Stochastic Multiplier

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Stochastic computing is a paradigm in which logical operations are performed on randomly generated bit streams. Complex arithmetic operations can be executed by simple logic circuits, resulting in a much smaller area footprint compared to…

Emerging Technologies · Computer Science 2023-07-10 Yadu Kiran , Marc Riedel

In this work, multiplicative stochasticity is applied to the learning rate of stochastic optimization algorithms, giving rise to stochastic learning-rate schemes. In-expectation theoretical convergence results of Stochastic Gradient Descent…

Optimization and Control · Mathematics 2022-03-22 Theodoros Mamalis , Dusan Stipanovic , Petros Voulgaris

Bregman parallel direction method of multipliers (BPDMM) efficiently solves distributed optimization over a network, which arises in a wide spectrum of collaborative multi-agent learning applications. In this paper, we generalize BPDMM to…

Optimization and Control · Mathematics 2019-03-05 Yue Yu , Behçet Açıkmeşe

In this paper, two approximate 3*3 multipliers are proposed and the synthesis results of the ASAP-7nm process library justify that they can reduce the area by 31.38% and 36.17%, and the power consumption by 36.73% and 35.66% compared with…

Hardware Architecture · Computer Science 2022-11-17 Yao Lu , Jide Zhang , Su Zheng , Zhen Li , Lingli Wang

Stochastic computing (SC) presents high error tolerance and low hardware cost, and has great potential in applications such as neural networks and image processing. However, the bitstream generator, which converts a binary number to…

Emerging Technologies · Computer Science 2019-04-23 Yawen Zhang , Runsheng Wang , Xinyue Zhang , Zherui Zhang , Jiahao Song , Zuodong Zhang , Yuan Wang , Ru Huang

We introduce a novel algorithm that leverages stochastic sampling techniques to compute the perturbative triples correction in the coupled-cluster (CC) framework. By combining elements of randomness and determinism, our algorithm achieves a…

Chemical Physics · Physics 2024-05-29 Yann Damour , Alejandro Gallo , Anthony Scemama

We propose an optimization method for the automatic design of approximate multipliers, which minimizes the average error according to the operand distributions. Our multiplier achieves up to 50.24% higher accuracy than the best reproduced…

Hardware Architecture · Computer Science 2023-10-26 Su Zheng , Zhen Li , Yao Lu , Jingbo Gao , Jide Zhang , Lingli Wang

Reconstruction of the tridimensional geometry of a visual scene using the binocular disparity information is an important issue in computer vision and mobile robotics, which can be formulated as a Bayesian inference problem. However,…

Computer Vision and Pattern Recognition · Computer Science 2019-01-04 Alexandre Coninx , Pierre Bessière , Jacques Droulez

Electronic devices primarily aim to offer low power consumption, high speed, and a compact area. The performance of very large-scale integration (VLSI) devices is influenced by arithmetic operations, where multiplication is a crucial…

Hardware Architecture · Computer Science 2025-06-16 Ali Ranjbar , Elham Esmaeili , Roghayeh Rafieisangari , Nabiollah Shiri

Alternating Direction Method of Multipliers (ADMM) algorithm has been widely adopted for solving the distributed optimization problem (DOP). In this paper, a new distributed parallel ADMM algorithm is proposed, which allows the agents to…

Optimization and Control · Mathematics 2021-11-23 Ziye Liu , Fanghong Guo , Wei Wang , Xiaoqun Wu

In this paper, we propose a new stochastic alternating direction method of multipliers (ADMM) algorithm, which incrementally approximates the full gradient in the linearized ADMM formulation. Besides having a low per-iteration complexity as…

Machine Learning · Computer Science 2013-08-19 Leon Wenliang Zhong , James T. Kwok

Stochastic computing has a long history as an alternative method of performing arithmetic on a computer. While it can be considered an unbiased estimator of real numbers, it has a variance and MSE on the order of $\Omega(\frac{1}{N})$. On…

Hardware Architecture · Computer Science 2021-11-30 Chai Wah Wu

Stochastic equations play an important role in computational science, due to their ability to treat a wide variety of complex statistical problems. However, current algorithms are strongly limited by their sampling variance, which scales…

Numerical Analysis · Mathematics 2017-01-04 Bogdan Opanchuk , Simon Kiesewetter , Peter D. Drummond

The finite field multiplier is mainly used in many of today's state of the art digital systems and its hardware implementation for bit parallel operation may require millions of logic gates. Natural causes or soft errors in digital design…

Information Theory · Computer Science 2023-03-15 Saeideh Nabipour , Javad Javidan , Gholamreza Zare Fatin

Ising machines, hardware accelerators for combinatorial optimization and probabilistic sampling problems, have gained significant interest recently. A key element is stochasticity, which enables a wide exploration of configurations, thereby…

Disordered Systems and Neural Networks · Physics 2025-01-23 Kyle Lee , Shuvro Chowdhury , Kerem Y. Camsari

Maximum likelihood estimators are often of limited practical use due to the intensive computation they require. We propose a family of alternative estimators that maximize a stochastic variation of the composite likelihood function. Each of…

Machine Learning · Computer Science 2010-03-04 Joshua V Dillon , Guy Lebanon

Active learning parallelization is widely used, but typically relies on fixing the batch size throughout experimentation. This fixed approach is inefficient because of a dynamic trade-off between cost and speed -- larger batches are more…

Machine Learning · Computer Science 2024-10-15 Masaki Adachi , Satoshi Hayakawa , Martin Jørgensen , Xingchen Wan , Vu Nguyen , Harald Oberhauser , Michael A. Osborne

Stochastic binary hidden units in a multi-layer perceptron (MLP) network give at least three potential benefits when compared to deterministic MLP networks. (1) They allow to learn one-to-many type of mappings. (2) They can be used in…

Machine Learning · Statistics 2015-04-10 Tapani Raiko , Mathias Berglund , Guillaume Alain , Laurent Dinh

In this article, we introduce iterative deterministic equivalents as a novel technique for the performance analysis of communication systems whose channels are modeled by complex combinations of independent random matrices. This technique…

Information Theory · Computer Science 2011-12-20 Jakob Hoydis , Romain Couillet , Merouane Debbah

Network resource allocation shows revived popularity in the era of data deluge and information explosion. Existing stochastic optimization approaches fall short in attaining a desirable cost-delay tradeoff. Recognizing the central role of…

Systems and Control · Computer Science 2017-11-02 Tianyi Chen , Qing Ling , Georgios B. Giannakis
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