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Inference of hidden classes in stochastic block model is a classical problem with important applications. Most commonly used methods for this problem involve na\"{\i}ve mean field approaches or heuristic spectral methods. Recently, belief…

Machine Learning · Computer Science 2013-02-05 Pan Zhang , Florent Krzakala , Jörg Reichardt , Lenka Zdeborová

Inverse problems arise in situations where data is available, but the underlying model is not. It can therefore be necessary to infer the parameters of the latter starting from the former. Statistical mechanics offers a toolbox of…

Statistical Mechanics · Physics 2025-07-04 Stefano Bae , Dario Bocchi , Luca Maria Del Bono , Luca Leuzzi

Statistical inference on the explained variation of an outcome by a set of covariates is of particular interest in practice. When the covariates are of moderate to high-dimension and the effects are not sparse, several approaches have been…

Methodology · Statistics 2022-01-24 Hua Yun Chen

These are the proceedings of the Second Workshop on GRAPH Inspection and Traversal Engineering (GRAPHITE 2013), which took place on March 24, 2013 in Rome, Italy, as a satellite event of the 16th European Joint Conferences on Theory and…

Data Structures and Algorithms · Computer Science 2013-12-30 Anton Wijs , Dragan Bošnački , Stefan Edelkamp

Gaussian graphical regressions have emerged as a powerful approach for regressing the precision matrix of a Gaussian graphical model on covariates, which, unlike traditional Gaussian graphical models, can help determine how graphs are…

Methodology · Statistics 2025-01-17 Xuran Meng , Jingfei Zhang , Yi Li

We introduce DeepFHT, a survival-analysis framework that couples deep neural networks with first hitting time (FHT) distributions from stochastic process theory. Time to event is represented as the first passage of a latent diffusion…

Machine Learning · Computer Science 2026-05-13 Alessio Cristofoletto , Cesare Rollo , Giovanni Birolo , Piero Fariselli

In this paper, we propose a Physics-Informed Neural Network framework for time-dependent simulations of pollution propagation originating from moving emission sources. We formulate a robust variational framework for the time-dependent…

Hay esbozos seg\'un los cuales las probabilidades se cuentan como la fundaci\'on de la teor\'i a matem\'atica de las estad\'isticas. Mas la significaci\'on f\'isica de las probabilidades matem\'aticas son oscuros, muy poco entendidos.…

Statistical Mechanics · Physics 2014-05-09 Joseph F. Johnson

Let F be a uniformly distributed random k-SAT formula with n variables and m clauses. Non-rigorous statistical mechanics ideas have inspired a message passing algorithm called Belief Propagation Guided Decimation for finding satisfying…

Combinatorics · Mathematics 2017-11-29 Amin Coja-Oghlan , Angelica Y. Pachon-Pinzon

Numerical methods play an ever more important role in astrophysics. This is especially true in theoretical works, but of course, even in purely observational projects, data analysis without massive use of computational methods has become…

Astrophysics of Galaxies · Physics 2014-12-18 Volker Springel

The analysis of diffusion processes in real-world propagation scenarios often involves estimating variables that are not directly observed. These hidden variables include parental relationships, the strengths of connections between nodes,…

Social and Information Networks · Computer Science 2016-05-12 Shohreh Shaghaghian , Mark Coates

The problem of statistical inference in its various forms has been the subject of decades-long extensive research. Most of the effort has been focused on characterizing the behavior as a function of the number of available samples, with far…

Machine Learning · Computer Science 2024-11-12 Tomer Berg , Or Ordentlich , Ofer Shayevitz

We discuss several ways of illustrating fundamental concepts in statistical and thermal physics by considering various models and algorithms. We emphasize the importance of replacing students' incomplete mental images by models that are…

Physics Education · Physics 2009-11-13 Jan Tobochnik , Harvey Gould

A physics-informed neural network is developed to solve conductive heat transfer partial differential equation (PDE), along with convective heat transfer PDEs as boundary conditions (BCs), in manufacturing and engineering applications where…

Machine Learning · Computer Science 2021-03-29 Navid Zobeiry , Keith D. Humfeld

Although deep learning models have demonstrated remarkable potential in weather prediction, most of them overlook either the \textbf{physics} of the underlying weather evolution or the \textbf{topology} of the Earth's surface. In light of…

Machine Learning · Computer Science 2025-05-09 Jiaqi Zheng , Qing Ling , Yerong Feng

Spatiotemporal prediction over graphs (STPG) is challenging, because real-world data suffers from the Out-of-Distribution (OOD) generalization problem, where test data follow different distributions from training ones. To address this…

Machine Learning · Computer Science 2025-01-03 Zhaobin Mo , Haotian Xiang , Xuan Di

Probabilistic programming allows specification of probabilistic models in a declarative manner. Recently, several new software systems and languages for probabilistic programming have been developed on the basis of newly developed and…

Machine Learning · Statistics 2013-06-04 Gabriel Kronberger

We consider problems in which a system receives external \emph{perturbations} from time to time. For instance, the system can be a train network in which particular lines are repeatedly disrupted without warning, having an effect on…

Machine Learning · Computer Science 2019-08-21 Nicolo Colombo , Ricardo Silva , Soong M Kang , Arthur Gretton

This paper studies the problem of ergodicity of transition probability matrices in Markovian models, such as hidden Markov models (HMMs), and how it makes very difficult the task of learning to represent long-term context for sequential…

Artificial Intelligence · Computer Science 2014-11-17 Y. Bengio , P. Frasconi

Many tools from the field of graph signal processing exploit knowledge of the underlying graph's structure (e.g., as encoded in the Laplacian matrix) to process signals on the graph. Therefore, in the case when no graph is available, graph…

Data Structures and Algorithms · Computer Science 2017-06-07 Bastien Pasdeloup , Vincent Gripon , Grégoire Mercier , Dominique Pastor , Michael G. Rabbat
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