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We introduce collapsed compilation, a novel approximate inference algorithm for discrete probabilistic graphical models. It is a collapsed sampling algorithm that incrementally selects which variable to sample next based on the partial…

Artificial Intelligence · Computer Science 2018-06-01 Tal Friedman , Guy Van den Broeck

Enumerating minimal transversals in a hypergraph is a notoriously hard problem. It can be reduced to enumerating minimal dominating sets in a graph, in fact even to enumerating minimal dominating sets in an incomparability graph. We provide…

Discrete Mathematics · Computer Science 2025-11-27 Marthe Bonamy , Oscar Defrain , Piotr Micek , Lhouari Nourine

We introduce a Markov Chain Monte Carlo (MCMC) method that is designed to sample from target distributions with irregular geometry using an adaptive scheme. In cases where targets exhibit non-Gaussian behaviour, we propose that adaption…

Computation · Statistics 2023-10-06 Ameer Dharamshi , Vivian Ngo , Jeffrey S. Rosenthal

We study an element agglomeration coarsening strategy that requires data redistribution at coarse levels when the number of coarse elements becomes smaller than the used computational units (cores). The overall procedure generates coarse…

Numerical Analysis · Mathematics 2025-12-01 Hillary R. Fairbanks , Delyan Z. Kalchev , Chak Shing Lee , Panayot S. Vassilevski

An $(m,n,a,b)$-tensor code consists of $m\times n$ matrices whose columns satisfy `$a$' parity checks and rows satisfy `$b$' parity checks (i.e., a tensor code is the tensor product of a column code and row code). Tensor codes are useful in…

Information Theory · Computer Science 2022-12-05 Joshua Brakensiek , Sivakanth Gopi , Visu Makam

Learning causal structures from interventional data is a fundamental problem with broad applications across various fields. While many previous works have focused on recovering the entire causal graph, in practice, there are scenarios where…

Machine Learning · Computer Science 2023-11-01 Kirankumar Shiragur , Jiaqi Zhang , Caroline Uhler

Composition of low-dimensional distributions, whose foundations were laid in the papaer published in the Proceeding of UAI'97 (Jirousek 1997), appeared to be an alternative apparatus to describe multidimensional probabilistic models. In…

Artificial Intelligence · Computer Science 2013-01-18 Radim Jirousek

This paper presents a novel meta algorithm, Partition-Merge (PM), which takes existing centralized algorithms for graph computation and makes them distributed and faster. In a nutshell, PM divides the graph into small subgraphs using our…

Data Structures and Algorithms · Computer Science 2013-09-25 Vincent Blondel , Kyomin Jung , Pushmeet Kohli , Devavrat Shah

A least squares semi-supervised local clustering algorithm based on the idea of compressed sensing is proposed to extract clusters from a graph with known adjacency matrix. The algorithm is based on a two-stage approach similar to the one…

Machine Learning · Computer Science 2022-11-01 Ming-Jun Lai , Zhaiming Shen

An efficient MCMC algorithm is presented to cluster the nodes of a network such that nodes with similar role in the network are clustered together. This is known as block-modelling or block-clustering. The model is the stochastic blockmodel…

Computation · Statistics 2012-11-09 Aaron F. McDaid , Thomas Brendan Murphy , Nial Friel , Neil J Hurley

We study the problem of collaboratively learning least squares estimates for $m$ agents. Each agent observes a different subset of the features$\unicode{x2013}$e.g., containing data collected from sensors of varying resolution. Our goal is…

Machine Learning · Statistics 2023-07-25 Chen Cheng , Gary Cheng , John Duchi

Sampling from the full posterior distribution of high-dimensional non-linear, non-Gaussian latent dynamical models presents significant computational challenges. While Particle Gibbs (also known as conditional sequential Monte Carlo) is…

Computation · Statistics 2025-03-05 Adrien Corenflos , Simo Särkkä

Compressive subspace learning (CSL) with the exploitation of space diversity has found a potential performance improvement for wideband spectrum sensing (WBSS). However, previous works mainly focus on either exploiting antenna…

Information Theory · Computer Science 2020-06-09 Tierui Gong , Zhijia Yang , Meng Zheng , Zhifeng Liu , Gengshan Wang

We describe a general framework -- compressive statistical learning -- for resource-efficient large-scale learning: the training collection is compressed in one pass into a low-dimensional sketch (a vector of random empirical generalized…

Machine Learning · Statistics 2021-06-23 Rémi Gribonval , Gilles Blanchard , Nicolas Keriven , Yann Traonmilin

Construct, Merge, Solve and Adapt (CMSA) is a general hybrid metaheuristic for solving combinatorial optimization problems. At each iteration, CMSA (1) constructs feasible solutions to the tackled problem instance in a probabilistic way and…

Artificial Intelligence · Computer Science 2018-05-31 Christian Blum , Haroldo Gambini Santos

We derive computationally tractable methods to select a small subset of experiment settings from a large pool of given design points. The primary focus is on linear regression models, while the technique extends to generalized linear models…

Machine Learning · Statistics 2017-12-21 Yining Wang , Adams Wei Yu , Aarti Singh

Linear Predictive Clustering (LPC) partitions samples based on shared linear relationships between feature and target variables, with numerous applications including marketing, medicine, and education. Greedy optimization methods, commonly…

Machine Learning · Computer Science 2026-04-08 Jiazhou Liang , Hassan Khurram , Scott Sanner

Composite minimization is a powerful framework in large-scale convex optimization, based on decoupling of the objective function into terms with structurally different properties and allowing for more flexible algorithmic design. We…

Optimization and Control · Mathematics 2023-02-17 Jelena Diakonikolas , Cristóbal Guzmán

The fast growing field of compressed sensing is founded on the fact that if a signal is 'simple' and has some 'structure', then it can be reconstructed accurately with far fewer samples than its ambient dimension. Many different plausible…

Information Theory · Computer Science 2011-10-18 Shirin Jalali , Arian Maleki

Mining useful clusters from high dimensional data has received significant attention of the computer vision and pattern recognition community in the recent years. Linear and non-linear dimensionality reduction has played an important role…

Computer Vision and Pattern Recognition · Computer Science 2016-05-25 Nauman Shahid , Nathanael Perraudin , Vassilis Kalofolias , Gilles Puy , Pierre Vandergheynst