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Computing free energy is a fundamental problem in statistical physics. Recently, two distinct methods have been developed and have demonstrated remarkable success: the tensor-network-based contraction method and the neural-network-based…

Statistical Mechanics · Physics 2025-04-17 Hanyan Cao , Yijia Wang , Feng Pan , Pan Zhang

Neural networks are susceptible to adversarial perturbations that are transferable across different models. In this paper, we introduce a novel model alignment technique aimed at improving a given source model's ability in generating…

Machine Learning · Computer Science 2024-07-18 Avery Ma , Amir-massoud Farahmand , Yangchen Pan , Philip Torr , Jindong Gu

Probabilistic message-passing algorithms are developed for routing transmissions in multi-wavelength optical communication networks, under node and edge-disjoint routing constraints and for various objective functions. Global routing…

Physics and Society · Physics 2022-04-25 Yi-Zhi Xu , Ho Fai Po , Chi Ho Yeung , David Saad

Active inference is a state-of-the-art framework in neuroscience that offers a unified theory of brain function. It is also proposed as a framework for planning in AI. Unfortunately, the complex mathematics required to create new models --…

Machine Learning · Computer Science 2021-05-11 Théophile Champion , Marek Grześ , Howard Bowman

This paper introduces an Interpretable Neural Network (INN) incorporating spatial information to tackle the opaque parameterization process of random weighted neural networks. The INN leverages spatial information to elucidate the…

Machine Learning · Computer Science 2024-04-16 Jing Nan , Wei Dai

Deep neural networks are vulnerable to adversarial examples, which can fool deep models by adding subtle perturbations. Although existing attacks have achieved promising results, it still leaves a long way to go for generating transferable…

Computer Vision and Pattern Recognition · Computer Science 2022-01-04 Yexin Duan , Junhua Zou , Xingyu Zhou , Wu Zhang , Jin Zhang , Zhisong Pan

Partitioning large networks into stable clusters of synchronized nodes is a challenging task. Recent approaches based on spectral analysis can provide exact results on specific dynamics but remain unfeasible for very large networks.…

Physics and Society · Physics 2026-01-23 Massimo Ostilli

Modeling uncertainty in deep neural networks, despite recent important advances, is still an open problem. Bayesian neural networks are a powerful solution, where the prior over network weights is a design choice, often a normal…

Machine Learning · Statistics 2019-10-29 Raanan Y. Rohekar , Yaniv Gurwicz , Shami Nisimov , Gal Novik

The application of message-passing Graph Neural Networks has been a breakthrough for important network science problems. However, the competitive performance often relies on using handcrafted structural features as inputs, which increases…

Machine Learning · Computer Science 2026-01-01 Haozhe Tian , Pietro Ferraro , Robert Shorten , Mahdi Jalili , Homayoun Hamedmoghadam

We introduce an Invertible Symbolic Regression (ISR) method. It is a machine learning technique that generates analytical relationships between inputs and outputs of a given dataset via invertible maps (or architectures). The proposed ISR…

Machine Learning · Computer Science 2024-05-14 Tony Tohme , Mohammad Javad Khojasteh , Mohsen Sadr , Florian Meyer , Kamal Youcef-Toumi

Transfer learning entails taking an artificial neural network (ANN) that is trained on a source dataset and adapting it to a new target dataset. While this has been shown to be quite powerful, its use has generally been restricted by…

Neural and Evolutionary Computing · Computer Science 2020-06-05 AbdElRahman ElSaid , Joshua Karns , Alexander Ororbia , Daniel Krutz , Zimeng Lyu , Travis Desell

Predictive linear and nonlinear models based on kernel machines or deep neural networks have been used to discover dependencies among time series. This paper proposes an efficient nonlinear modeling approach for multiple time series, with a…

Machine Learning · Computer Science 2023-10-02 Kevin Roy , Luis Miguel Lopez-Ramos , Baltasar Beferull-Lozano

Message-passing has proved to be an effective way to design graph neural networks, as it is able to leverage both permutation equivariance and an inductive bias towards learning local structures in order to achieve good generalization.…

Machine Learning · Computer Science 2020-10-26 Clement Vignac , Andreas Loukas , Pascal Frossard

Ising models describe the joint probability distribution of a vector of binary feature variables. Typically, not all the variables interact with each other and one is interested in learning the presumably sparse network structure of the…

Machine Learning · Computer Science 2019-07-09 Frank Nussbaum , Joachim Giesen

Message passing (MP) is a computational technique used to find approximate solutions to a variety of problems defined on networks. MP approximations are generally accurate in locally tree-like networks but require corrections to maintain…

Physics and Society · Physics 2023-09-27 George T. Cantwell , Alec Kirkley , Filippo Radicchi

Deep neural networks are vulnerable to adversarial examples, which can mislead classifiers by adding imperceptible perturbations. An intriguing property of adversarial examples is their good transferability, making black-box attacks…

Computer Vision and Pattern Recognition · Computer Science 2019-04-08 Yinpeng Dong , Tianyu Pang , Hang Su , Jun Zhu

Recently, message-passing graph neural networks (MPNNs) have shown potential for solving combinatorial and continuous optimization problems due to their ability to capture variable-constraint interactions. While existing approaches leverage…

Artificial Intelligence · Computer Science 2025-02-05 Chendi Qian , Christopher Morris

It is well established that neural networks with deep architectures perform better than shallow networks for many tasks in machine learning. In statistical physics, while there has been recent interest in representing physical data with…

Disordered Systems and Neural Networks · Physics 2019-03-06 Alan Morningstar , Roger G. Melko

The partially observable generalized linear model (POGLM) is a powerful tool for understanding neural connectivity under the assumption of existing hidden neurons. With spike trains only recorded from visible neurons, existing works use…

Machine Learning · Computer Science 2024-02-08 Chengrui Li , Weihan Li , Yule Wang , Anqi Wu

Graphical models use the intuitive and well-studied methods of graph theory to implicitly represent dependencies between variables in large systems. They can model the global behaviour of a complex system by specifying only local factors.…

Artificial Intelligence · Computer Science 2015-08-21 Siamak Ravanbakhsh