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Given time series data, how can we answer questions like "what will happen in the future?" and "how did we get here?" These sorts of probabilistic inference questions are challenging when observations are high-dimensional. In this paper, we…

Machine Learning · Computer Science 2025-05-22 Benjamin Eysenbach , Vivek Myers , Ruslan Salakhutdinov , Sergey Levine

Science students must deal with the errors inherent to all physical measurements and be conscious of the need to expressvthem as a best estimate and a range of uncertainty. Errors are routinely classified as statistical or systematic.…

Physics Education · Physics 2021-05-05 Martin Monteiro , Cecilia Stari , Cecilia Cabeza , Arturo C. Marti

Diffusion models, today's leading image generative models, estimate the score function, i.e. the gradient of the log probability of (perturbed) data samples, without direct access to the underlying probability distribution. This work…

Computer Vision and Pattern Recognition · Computer Science 2026-02-26 Jonathan Brokman , Itay Gershon , Amit Giloni , Omer Hofman , Roman Vainshtein , Hisashi Kojima , Guy Gilboa

Heat propagation is governed by phonon interactions and mathematically described by partial differential equations (PDEs), which link thermal transport to the intrinsic properties of materials. Conventional experimental techniques infer…

Applied Physics · Physics 2025-09-05 Pengfei Zhu , Hai Zhang , Clemente Ibarra-Castanedo , Xavier Maldague , Andreas Mandelis

We introduce a new approach for amortizing inference in directed graphical models by learning heuristic approximations to stochastic inverses, designed specifically for use as proposal distributions in sequential Monte Carlo methods. We…

Machine Learning · Statistics 2018-03-09 Brooks Paige , Frank Wood

To model the indeterminacy of human behaviors, stochastic trajectory prediction requires a sophisticated multi-modal distribution of future trajectories. Emerging diffusion models have revealed their tremendous representation capacities in…

Computer Vision and Pattern Recognition · Computer Science 2023-03-21 Weibo Mao , Chenxin Xu , Qi Zhu , Siheng Chen , Yanfeng Wang

This volume contains the proceedings of the (first) Graphs as Models (GaM) 2015 workshop, held on 10-11 April 2015 in London, U.K., as a satellite workshop of ETAPS 2015, the European Joint Conferences on Theory and Practice of Software.…

Software Engineering · Computer Science 2015-04-10 Arend Rensink , Eduardo Zambon

We consider the problem of communicating a sequence of concepts, i.e., unknown and potentially stochastic maps, which can be observed only through examples, i.e., the mapping rules are unknown. The transmitter applies a learning algorithm…

Information Theory · Computer Science 2023-05-16 Francesco Pase , Szymon Kobus , Deniz Gunduz , Michele Zorzi

Explainable boosting machines (EBMs) are popular "glass-box" models that learn a set of univariate functions using boosting trees. These achieve explainability through visualizations of each feature's effect. However, unlike linear model…

Machine Learning · Statistics 2026-03-31 Haimo Fang , Kevin Tan , Jonathan Pipping-Gamon , Giles Hooker

As a class of generative artificial intelligence frameworks inspired by statistical physics, diffusion models have shown extraordinary performance in synthesizing complicated data distributions through a denoising process gradually guided…

Machine Learning · Computer Science 2026-04-23 Fangjun Hu , Guangkuo Liu , Yifan F. Zhang , Xun Gao

Latent space models are powerful statistical tools for modeling and understanding network data. While the importance of accounting for uncertainty in network analysis has been well recognized, the current literature predominantly focuses on…

Statistics Theory · Mathematics 2025-08-15 Jinming Li , Shihao Wu , Chengyu Cui , Gongjun Xu , Ji Zhu

Message passing on factor graphs is a powerful framework for probabilistic inference, which finds important applications in various scientific domains. The most wide-spread message passing scheme is the sum-product algorithm (SPA) which…

Machine Learning · Computer Science 2023-06-06 Luca Schmid , Joshua Brenk , Laurent Schmalen

Recent work has focused attention on statistical inference for the population distribution of the number of sexual partners based on survey data. The characteristics of these distributions are of interest as components of mathematical…

Disordered Systems and Neural Networks · Physics 2007-05-23 Mark S. Handcock , James Holland Jones , Martina Morris

This tutorial provides an in-depth guide on inference-time guidance and alignment methods for optimizing downstream reward functions in diffusion models. While diffusion models are renowned for their generative modeling capabilities,…

Artificial Intelligence · Computer Science 2025-01-22 Masatoshi Uehara , Yulai Zhao , Chenyu Wang , Xiner Li , Aviv Regev , Sergey Levine , Tommaso Biancalani

Inference tasks in signal processing are often characterized by the availability of reliable statistical modeling with some missing instance-specific parameters. One conventional approach uses data to estimate these missing parameters and…

Signal Processing · Electrical Eng. & Systems 2023-04-25 Nir Shlezinger , Tirza Routtenberg

Belief Propagation algorithms acting on Graphical Models of classical probability distributions, such as Markov Networks, Factor Graphs and Bayesian Networks, are amongst the most powerful known methods for deriving probabilistic inferences…

Quantum Physics · Physics 2009-11-13 Matthew Leifer , David Poulin

Drawing inference from data is an important skill for students to understand their everyday life, so that the sampling distribution as a central topic in statistical inference is necessary to be learned by the students. However, little is…

Other Statistics · Statistics 2020-02-12 Geovani Debby Setyani , Yosep Dwi Kristanto

Spatio-temporal point process models play a central role in the analysis of spatially distributed systems in several disciplines. Yet, scalable inference remains computa- tionally challenging both due to the high resolution modelling…

Machine Learning · Statistics 2015-07-07 Botond Cseke , Andrew Zammit Mangion , Tom Heskes , Guido Sanguinetti

Variational inference algorithms such as belief propagation have had tremendous impact on our ability to learn and use graphical models, and give many insights for developing or understanding exact and approximate inference. However,…

Artificial Intelligence · Computer Science 2012-10-19 Qiang Liu , Alexander T. Ihler

While originally designed for image generation, diffusion models have recently shown to provide excellent pretrained feature representations for semantic segmentation. Intrigued by this result, we set out to explore how well…

Computer Vision and Pattern Recognition · Computer Science 2023-07-06 Rui Gong , Martin Danelljan , Han Sun , Julio Delgado Mangas , Luc Van Gool