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Belief propagation is an algorithm that is known from statistical physics and computer science. It provides an efficient way of calculating marginals that involve large sums of products which are efficiently rearranged into nested products…

Artificial Intelligence · Computer Science 2020-12-22 Tim Ritmeester , Hildegard Meyer-Ortmanns

Learning from Label Proportions (LLP) is a learning problem where only aggregate level labels are available for groups of instances, called bags, during training, and the aim is to get the best performance at the instance-level on the test…

Machine Learning · Computer Science 2024-03-21 Shreyas Havaldar , Navodita Sharma , Shubhi Sareen , Karthikeyan Shanmugam , Aravindan Raghuveer

AM dependency parsing is a linguistically principled method for neural semantic parsing with high accuracy across multiple graphbanks. It relies on a type system that models semantic valency but makes existing parsers slow. We describe an…

Computation and Language · Computer Science 2020-10-07 Matthias Lindemann , Jonas Groschwitz , Alexander Koller

We address the problem of uncertainty propagation in the discrete Fourier transform by modeling the fast Fourier transform as a factor graph. Building on this representation, we propose an efficient framework for approximate Bayesian…

Machine Learning · Computer Science 2025-06-09 Luca Schmid , Charlotte Muth , Laurent Schmalen

A major drawback of backpropagation through time (BPTT) is the difficulty of learning long-term dependencies, coming from having to propagate credit information backwards through every single step of the forward computation. This makes BPTT…

Artificial Intelligence · Computer Science 2017-11-08 Nan Rosemary Ke , Anirudh Goyal , Olexa Bilaniuk , Jonathan Binas , Laurent Charlin , Chris Pal , Yoshua Bengio

We introduce and study the problem of posterior inference on tree-structured graphical models in the presence of a malicious adversary who can corrupt some observed nodes. In the well-studied broadcasting on trees model, corresponding to…

Data Structures and Algorithms · Computer Science 2024-04-02 Samuel B. Hopkins , Anqi Li

The Propagation-Separation approach is an iterative procedure for pointwise estimation of local constant and local polynomial functions. The estimator is defined as a weighted mean of the observations with data-driven weights. Within…

Methodology · Statistics 2013-02-06 Saskia Becker , Peter Mathé

A susceptibility propagation that is constructed by combining a belief propagation and a linear response method is used for approximate computation for Markov random fields. Herein, we formulate a new, improved susceptibility propagation by…

Statistical Mechanics · Physics 2017-12-04 Muneki Yasuda , Kazuyuki Tanaka

Recently, the method that learns networks layer by layer has attracted increasing interest for its ease of analysis. For the method, the main challenge lies in deriving an optimization target for each layer by inversely propagating the…

Machine Learning · Computer Science 2021-10-22 Weizhi Lu , Mingrui Chen , Kai Guo , Weiyu Li

Pursuing invariant prediction from heterogeneous environments opens the door to learning causality in a purely data-driven way and has several applications in causal discovery and robust transfer learning. However, existing methods such as…

Statistics Theory · Mathematics 2025-01-30 Yihong Gu , Cong Fang , Yang Xu , Zijian Guo , Jianqing Fan

Adaptive sparse coding methods learn a possibly overcomplete set of basis functions, such that natural image patches can be reconstructed by linearly combining a small subset of these bases. The applicability of these methods to visual…

Computer Vision and Pattern Recognition · Computer Science 2010-10-19 Koray Kavukcuoglu , Marc'Aurelio Ranzato , Yann LeCun

We develop a novel approach for confidently accelerating inference in the large and expensive multilayer Transformers that are now ubiquitous in natural language processing (NLP). Amortized or approximate computational methods increase…

Computation and Language · Computer Science 2021-09-10 Tal Schuster , Adam Fisch , Tommi Jaakkola , Regina Barzilay

A number of problems in statistical physics and computer science can be expressed as the computation of marginal probabilities over a Markov random field. Belief propagation, an iterative message-passing algorithm, computes exactly such…

Machine Learning · Statistics 2012-10-23 Victorin Martin , Jean-Marc Lasgouttes , Cyril Furtlehner

We consider the reconstruction of a two-dimensional discrete image from a set of tomographic measurements corresponding to the Radon projection. Assuming that the image has a structure where neighbouring pixels have a larger probability to…

Numerical Analysis · Computer Science 2013-04-04 Emmanuelle Gouillart , Florent Krzakala , Marc Mezard , Lenka Zdeborová

We present a differentiable approach to learn the probabilistic factors used for inference by a nonparametric belief propagation algorithm. Existing nonparametric belief propagation methods rely on domain-specific features encoded in the…

We propose a fast real-time state estimator based on the belief propagation algorithm for the power system state estimation. The proposed estimator is easy to distribute and parallelize, thus alleviating computational limitations and…

Information Theory · Computer Science 2017-08-15 Mirsad Cosovic , Dejan Vukobratovic

Bayesian predictive inference provides a coherent description of entire predictive uncertainty through predictive distributions. We examine several widely used sparsity priors from the predictive (as opposed to estimation) inference…

Statistics Theory · Mathematics 2024-06-03 Veronika Rockova

End-to-end models are favored in automatic speech recognition (ASR) because of their simplified system structure and superior performance. Among these models, Transformer and Conformer have achieved state-of-the-art recognition accuracy in…

Sound · Computer Science 2021-06-18 Xiong Wang , Sining Sun , Lei Xie , Long Ma

Belief Propagation (BP) is a simple probabilistic inference algorithm, consisting of passing messages between nodes of a graph representing a probability distribution. Its analogy with a neural network suggests that it could have…

Artificial Intelligence · Computer Science 2024-03-20 Vincent Bouttier , Renaud Jardri , Sophie Deneve

In many scientific domains, including experimentation, researchers rely on measurements of proxy outcomes to achieve faster and more frequent reads, especially when the primary outcome of interest is challenging to measure directly. While…

Methodology · Statistics 2026-05-08 Steven Wilkins-Reeves , Alexandra N. M. Darmon , Deeksha Sinha