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In this work, we introduce the concept of an entirely new circuit architecture based on the novel, physics-inspired computing paradigm: Memcomputing. In particular, we focus on digital memcomputing machines (DMMs) that can be designed…

Emerging Technologies · Computer Science 2020-03-25 John Aiken , Fabio L. Traversa

It is well known that physical phenomena may be of great help in computing some difficult problems efficiently. A typical example is prime factorization that may be solved in polynomial time by exploiting quantum entanglement on a quantum…

Emerging Technologies · Computer Science 2018-05-23 Massimiliano Di Ventra , Fabio L. Traversa

We introduce a class of digital machines we name Digital Memcomputing Machines (DMMs) able to solve a wide range of problems including Non-deterministic Polynomial (NP) ones with polynomial resources (in time, space and energy). An abstract…

Emerging Technologies · Computer Science 2017-03-09 Fabio L. Traversa , Massimiliano Di Ventra

Digital memcomputing machines (DMMs) are a class of computational machines designed to solve combinatorial optimization problems. A practical realization of DMMs can be accomplished via electrical circuits of highly non-linear,…

Emerging Technologies · Computer Science 2019-10-02 Massimiliano Di Ventra , Igor V. Ovchinnikov

Memcomputing logic gates generalize the traditional Boolean logic gates for operation in the reverse direction. According to the literature, this functionality enables the efficient solution of computationally-intensive problems including…

Emerging Technologies · Computer Science 2024-02-02 Y. V. Pershin

Digital MemComputing machines (DMMs), which employ nonlinear dynamical systems with memory (time non-locality), have proven to be a robust and scalable unconventional computing approach for solving a wide variety of combinatorial…

Emerging Technologies · Computer Science 2024-07-16 Yuan-Hang Zhang , Massimiliano Di Ventra

Digital memcomputing machines (DMMs) are a novel, non-Turing class of machines designed to solve combinatorial optimization problems. They can be physically realized with continuous-time, non-quantum dynamical systems with memory (time…

Emerging Technologies · Computer Science 2021-06-30 Yuan-Hang Zhang , Massimiliano Di Ventra

Performing analog computations with metastructures is an emerging wave-based paradigm for solving mathematical problems. For such devices, one major challenge is their reconfigurability, especially without the need for a priori mathematical…

Applied Physics · Physics 2022-06-07 Dimitrios Tzarouchis , Mario Junior Mencagli , Brian Edwards , Nader Engheta

We present a fully parallel digital memcomputing solver implemented on a field-programmable gate array (FPGA) board. For this purpose, we have designed an FPGA code that solves the ordinary differential equations associated with digital…

Emerging Technologies · Computer Science 2025-05-06 Dyk Chung Nguyen , Yuriy V. Pershin

Digital memcomputing machines (DMMs) are a new class of computing machines that employ non-quantum dynamical systems with memory to solve combinatorial optimization problems. Here, we show that the time to solution (TTS) of DMMs follows an…

Emerging Technologies · Computer Science 2023-09-11 Daniel Primosch , Yuan-Hang Zhang , Massimiliano Di Ventra

The advent of memristive devices offers a promising avenue for efficient and scalable analog computing, particularly for linear algebra operations essential in various scientific and engineering applications. This paper investigates the…

Mesoscale and Nanoscale Physics · Physics 2025-06-23 Jonathan Lin , Frank Barrows , Francesco Caravelli

Processing-in-memory (PIM) turns out to be a promising solution to breakthrough the memory wall and the power wall. While prior PIM designs yield successful implementation of bitwise Boolean logic operations locally in memory, it is…

Hardware Architecture · Computer Science 2018-09-25 Xin Ma , Liang Chang , Shuangchen Li , Lei Deng , Yufei Ding , Yuan Xie

Optical computing is considered a promising solution for the growing demand for parallel computing in various cutting-edge fields, requiring high integration and high speed computational capacity. In this paper, we propose a novel optical…

Optics · Physics 2024-10-24 Ryosuke Mashiko , Makoto Naruse , Ryoichi Horisaki

Invertible logic can operate in one of two modes: 1) a forward mode, in which inputs are presented and a single, correct output is produced, and 2) a reverse mode, in which the output is fixed and the inputs take on values consistent with…

Hardware Architecture · Computer Science 2026-03-31 Sean C. Smithson , Naoya Onizawa , Brett H. Meyer , Warren J. Gross , Takahiro Hanyu

A fast direct inversion scheme for the large sparse systems of linear equations resulting from the discretization of elliptic partial differential equations in two dimensions is given. The scheme is described for the particular case of a…

Numerical Analysis · Mathematics 2007-07-02 Per-Gunnar Martinsson

We present a novel approach for accelerating convolutions during inference for CPU-based architectures. The most common method of computation involves packing the image into the columns of a matrix (im2col) and performing general matrix…

Computer Vision and Pattern Recognition · Computer Science 2024-11-26 Amir Ofir , Gil Ben-Artzi

Digital In-memory computing improves energy efficiency and throughput of a data-intensive process, which incur memory thrashing and, resulting multiple same memory accesses in a von Neumann architecture. Digital in-memory computing involves…

Hardware Architecture · Computer Science 2021-08-11 Veerendra S Devaraddi , Joycee M. Mekie

General Matrix Multiplication (GEMM) is a fundamental operation widely used in scientific computations. Its performance and accuracy significantly impact the performance and accuracy of applications that depend on it. One such application…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-12 Fumiya Kono , Naohito Nakasato , Maho Nakata

Stochastic computing (SC) offers hardware simplicity but suffers from low throughput, while high-throughput Digital Computing-in-Memory (DCIM) is bottlenecked by costly adder logic for matrix-vector multiplication (MVM). To address this…

Hardware Architecture · Computer Science 2026-01-13 Kunming Shao , Liang Zhao , Jiangnan Yu , Zhipeng Liao , Xiaomeng Wang , Yi Zou , Tim Kwang-Ting Cheng , Chi-Ying Tsui

Despite the success of Deep Learning (DL) serious reliability issues such as non-robustness persist. An interesting aspect is, whether these problems arise due to insufficient tools or due to fundamental limitations of DL. We study this…

Signal Processing · Electrical Eng. & Systems 2024-01-19 Holger Boche , Adalbert Fono , Gitta Kutyniok
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