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Probabilistic spin logic (PSL), based on networks of binary stochastic neurons (or p-bits), has been shown to provide a viable framework for many functionalities including Ising computing, Bayesian inference, invertible Boolean logic and…

Emerging Technologies · Computer Science 2019-02-11 Orchi Hassan , Kerem Y. Camsari , Supriyo Datta

The common feature of nearly all logic and memory devices is that they make use of stable units to represent 0's and 1's. A completely different paradigm is based on three-terminal stochastic units which could be called "p-bits", where the…

Emerging Technologies · Computer Science 2017-09-14 Ahmed Zeeshan Pervaiz , Lakshmi Anirudh Ghantasala , Kerem Yunus Camsari , Supriyo Datta

Conventional logic and memory devices are built out of deterministic units such as transistors, or magnets with energy barriers in excess of 40-60 kT. We show that stochastic units, p-bits, can be interconnected to create robust…

Mesoscale and Nanoscale Physics · Physics 2017-07-26 Kerem Yunus Camsari , Rafatul Faria , Brian M. Sutton , Supriyo Datta

Probabilistic bits (p-bits) have recently been employed in neural networks (NNs) as stochastic neurons with sigmoidal probabilistic activation functions. Nonetheless, there remain a wealth of other probabilistic activation functions that…

Ising machines can solve combinatorial optimization problems by representing them as energy minimization problems. A common implementation is the probabilistic Ising machine (PIM), which uses probabilistic (p-) bits to represent coupled…

We introduce the concept of a probabilistic or p-bit, intermediate between the standard bits of digital electronics and the emerging q-bits of quantum computing. We show that low barrier magnets or LBM's provide a natural physical…

Emerging Technologies · Computer Science 2020-07-16 Kerem Y. Camsari , Brian M. Sutton , Supriyo Datta

Probabilistic computing is a novel computing scheme that offers a more efficient approach than conventional CMOS-based logic in a variety of applications ranging from optimization to Bayesian inference, and invertible Boolean logic. The…

Mesoscale and Nanoscale Physics · Physics 2024-06-18 John Daniel , Zheng Sun , Xuejian Zhang , Yuanqiu Tan , Neil Dilley , Zhihong Chen , Joerg Appenzeller

Spin glass systems as lattices of disordered magnets with random interactions have important implications within the theory of magnetization and applications to a wide-range of hard combinatorial optimization problems. Nevertheless, despite…

Disordered Systems and Neural Networks · Physics 2025-10-28 Fredrik Hasselgren , Max O. Al-Hasso , Amy Searle , Joseph Tindall , Marko von der Leyen

Probabilistic (p-) bits implemented with low energy barrier nanomagnets (LBMs) have recently gained attention because they can be leveraged to perform some computational tasks very efficiently. Although more error-resilient than Boolean…

Mesoscale and Nanoscale Physics · Physics 2020-03-10 Justine L. Drobitch , Supriyo Bandyopadhyay

This article critically investigates the limitations of the simulated annealing algorithm using probabilistic bits (pSA) in solving large-scale combinatorial optimization problems. The study begins with an in-depth analysis of the pSA…

Emerging Technologies · Computer Science 2026-01-23 Naoya Onizawa , Takahiro Hanyu

Ongoing semiconductor scaling challenges and the rise of neuromorphic computing have sparked interest in exploring novel computing schemes to achieve higher power efficiency and computational capabilities. Probabilistic computing is one…

Emerging Technologies · Computer Science 2026-04-28 Xuejian Zhang , John Arnesh Divakaruni Daniel , Neil Dilley , Zhihong Chen , Joerg Appenzeller

Digital computers store information in the form of bits that can take on one of two values 0 and 1, while quantum computers are based on qubits that are described by a complex wavefunction, whose squared magnitude gives the probability of…

Emerging Technologies · Computer Science 2021-10-14 Jan Kaiser , Supriyo Datta

Probabilistic computing using probabilistic bits (p-bits) presents an efficient alternative to traditional CMOS logic for complex problem-solving, including simulated annealing and machine learning. Realizing p-bits with emerging devices…

Machine Learning · Computer Science 2026-01-22 Naoya Onizawa , Takahiro Hanyu

Probabilistic circuits (PCs) are a unifying representation for probabilistic models that support tractable inference. Numerous applications of PCs like controllable text generation depend on the ability to efficiently multiply two circuits.…

Artificial Intelligence · Computer Science 2025-05-01 Honghua Zhang , Benjie Wang , Marcelo Arenas , Guy Van den Broeck

The slowing down of Moore's Law has led to a crisis as the computing workloads of Artificial Intelligence (AI) algorithms continue skyrocketing. There is an urgent need for scalable and energy-efficient hardware catering to the unique…

Emerging Technologies · Computer Science 2023-10-11 Shuvro Chowdhury , Kerem Y. Camsari

In this paper we present a concrete design for a probabilistic (p-) computer based on a network of p-bits, robust classical entities fluctuating between -1 and +1, with probabilities that are controlled through an input constructed from the…

Emerging Technologies · Computer Science 2020-08-25 Brian Sutton , Rafatul Faria , Lakshmi A. Ghantasala , Risi Jaiswal , Kerem Y. Camsari , Supriyo Datta

The search of hardware-compatible strategies for solving NP-hard combinatorial optimization problems (COPs) is an important challenge of today s computing research because of their wide range of applications in real world optimization…

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

This work addresses integrating probabilistic propositional logic constraints into the distribution encoded by a probabilistic circuit (PC). PCs are a class of tractable models that allow efficient computations (such as conditional and…

Machine Learning · Computer Science 2024-03-21 Soroush Ghandi , Benjamin Quost , Cassio de Campos

Optical computing often employs tailor-made hardware to implement specific algorithms, trading generality for improved performance in key aspects like speed and power efficiency. An important computing approach that is still missing its…

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