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This paper first describes, from a high level viewpoint, the main challenges that had to be solved in order to develop a theory of spin glasses in the last fifty years. It then explains how important inference problems, notably those…

Disordered Systems and Neural Networks · Physics 2023-12-12 Marc Mézard

The applicability of artificial neural networks (ANNs) is typically limited to the models they are trained with and little is known about their generalizability, which is a pressing issue in the practical application of trained ANNs to…

Disordered Systems and Neural Networks · Physics 2022-08-09 Hon Man Yau , Nan Su

Neural networks are often regarded as "black boxes" due to their complex functions and numerous parameters, which poses significant challenges for interpretability. This study addresses these challenges by introducing methods to enhance the…

Machine Learning · Statistics 2024-09-26 Mohamad Yamen AL Mohamad , Hossein Bevrani , Ali Akbar Haydari

Sparse Neural Networks regained attention due to their potential for mathematical and computational advantages. We give motivation to study Artificial Neural Networks (ANNs) from a network science perspective, provide a technique to embed…

Neural and Evolutionary Computing · Computer Science 2021-12-15 Julian Stier , Michael Granitzer

Spin-glass systems are universal models for representing many-body phenomena in statistical physics and computer science. High quality solutions of NP-hard combinatorial optimization problems can be encoded into low energy states of…

Disordered Systems and Neural Networks · Physics 2020-01-14 Gavin S. Hartnett , Masoud Mohseni

Estimating partition functions of Ising spin glasses is a cornerstone of statistical physics and computational science, yet it remains classically challenging due to its $\#$P-hard complexity. While Jarzynski's equality offers a theoretical…

Quantum Physics · Physics 2026-03-18 Haowei Li , Zhiyuan Yao , Xingze Qiu

Despite advances in artificial intelligence models, neural networks still cannot achieve human performance, partly due to differences in how information is encoded and processed compared to human brain. Information in an artificial neural…

Neural and Evolutionary Computing · Computer Science 2021-11-18 Yinqian Sun , Yi Zeng , Tielin Zhang

Spiking Neural Networks (SNNs) represent the latest generation of neural computation, offering a brain-inspired alternative to conventional Artificial Neural Networks (ANNs). Unlike ANNs, which depend on continuous-valued signals, SNNs…

Neural and Evolutionary Computing · Computer Science 2025-11-03 Sales G. Aribe

One of the most common and universal problems in science is to investigate a function. The prediction can be made by an Artificial Neural Network (ANN) or a mathematical model. Both approaches have their advantages and disadvantages.…

Neural and Evolutionary Computing · Computer Science 2022-02-22 Szymon Buchaniec , Marek Gnatowski , Grzegorz Brus

Autoregressive Neural Networks (ANN) have been recently proposed as a mechanism to improve the efficiency of Monte Carlo algorithms for several spin systems. The idea relies on the fact that the total probability of a configuration can be…

Statistical Mechanics · Physics 2025-10-13 Piotr Białas , Vaibhav Chahar , Piotr Korcyl , Tomasz Stebel , Mateusz Winiarski , Dawid Zapolski

Emerged as a biology-inspired method, Spiking Neural Networks (SNNs) mimic the spiking nature of brain neurons and have received lots of research attention. SNNs deal with binary spikes as their activation and therefore derive extreme…

Computer Vision and Pattern Recognition · Computer Science 2023-05-04 Yufei Guo , Weihang Peng , Yuanpei Chen , Liwen Zhang , Xiaode Liu , Xuhui Huang , Zhe Ma

This document presents the material of two lectures on statistical physics and neural representations, delivered by one of us (R.M.) at the Fundamental Problems in Statistical Physics XIV summer school in July 2017. In a first part, we…

Data Analysis, Statistics and Probability · Physics 2018-06-13 Simona Cocco , Rémi Monasson , Lorenzo Posani , Sophie Rosay , Jérôme Tubiana

The spiking neural network, known as the third generation neural network, is an important network paradigm. Due to its mode of information propagation that follows biological rationality, the spiking neural network has strong energy…

Neural and Evolutionary Computing · Computer Science 2025-05-21 Zihan Dai , Huanfei Ma

The field of neuromorphic computing promises extremely low-power and low-latency sensing and processing. Challenges in transferring learning algorithms from traditional artificial neural networks (ANNs) to spiking neural networks (SNNs)…

Computer Vision and Pattern Recognition · Computer Science 2021-10-27 Jesse Hagenaars , Federico Paredes-Vallés , Guido de Croon

Spiking neural networks (SNNs) are known as a typical kind of brain-inspired models with their unique features of rich neuronal dynamics, diverse coding schemes and low power consumption properties. How to obtain a high-accuracy model has…

Neural and Evolutionary Computing · Computer Science 2022-03-07 Yihan Lin , Yifan Hu , Shijie Ma , Guoqi Li , Dongjie Yu

This paper investigates the use of probabilistic neural networks (PNNs) to model aleatoric uncertainty, which refers to the inherent variability in the input-output relationships of a system, often characterized by unequal variance or…

Machine Learning · Statistics 2024-02-22 Farhad Pourkamali-Anaraki , Jamal F. Husseini , Scott E. Stapleton

We theoretically expanded the capabilities of optical sensing based on surface plasmon resonance in a prism-coupled configuration by incorporating artificial neural networks (ANNs). We used calculations modeling the situation in which an…

Applied Physics · Physics 2019-11-05 Patrick D. McAtee , Satish T. S. Bukkapatnam , Akhlesh Lakhtakia

Neuromorphic data carries information in spatio-temporal patterns encoded by spikes. Accordingly, a central problem in neuromorphic computing is training spiking neural networks (SNNs) to reproduce spatio-temporal spiking patterns in…

Machine Learning · Computer Science 2021-11-03 Bleema Rosenfeld , Osvaldo Simeone , Bipin Rajendran

Computer-science-oriented artificial neural networks (ANNs) have achieved tremendous success in a variety of scenarios via powerful feature extraction and high-precision data operations. It is well known, however, that ANNs usually suffer…

Computer Vision and Pattern Recognition · Computer Science 2019-10-01 Zheyu Yang , Yujie Wu , Guanrui Wang , Yukuan Yang , Guoqi Li , Lei Deng , Jun Zhu , Luping Shi

The recent progress of artificial intelligence (AI) has boosted the computational possibilities in fields where standard computers are not able to perform. The AI paradigm is to emulate human intelligence and therefore breaks the familiar…