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Data simulation is fundamental for machine learning and causal inference, as it allows exploration of scenarios and assessment of methods in settings with full control of ground truth. Directed acyclic graphs (DAGs) are well established for…

Artificial Intelligence · Computer Science 2023-05-10 Ghadi S. Al Hajj , Johan Pensar , Geir Kjetil Sandve

Directed acyclic graphical models, or DAG models, are widely used to represent complex causal systems. Since the basic task of learning such a model from data is NP-hard, a standard approach is greedy search over the space of directed…

Statistics Theory · Mathematics 2021-06-09 Liam Solus , Yuhao Wang , Caroline Uhler

Graph matching is a fundamental tool in computer vision and pattern recognition. In this paper, we introduce an algorithm for graph matching based on the proximal operator, referred to as differentiable proximal graph matching (DPGM).…

Computer Vision and Pattern Recognition · Computer Science 2024-05-28 Haoru Tan , Chuang Wang , Xu-Yao Zhang , Cheng-Lin Liu

Estimating the structure of directed acyclic graphs (DAGs) from observational data remains a significant challenge in machine learning. Most research in this area concentrates on learning a single DAG for the entire population. This paper…

Machine Learning · Statistics 2024-02-21 Ryan Thompson , Edwin V. Bonilla , Robert Kohn

Deep generative models for graphs have exhibited promising performance in ever-increasing domains such as design of molecules (i.e, graph of atoms) and structure prediction of proteins (i.e., graph of amino acids). Existing work typically…

Machine Learning · Computer Science 2021-01-21 Wenbin Zhang , Liming Zhang , Dieter Pfoser , Liang Zhao

Machine learning methods on graphs have proven useful in many applications due to their ability to handle generally structured data. The framework of Gaussian Markov Random Fields (GMRFs) provides a principled way to define Gaussian models…

Machine Learning · Statistics 2022-06-13 Joel Oskarsson , Per Sidén , Fredrik Lindsten

We present the Deep Convolutional Gaussian Mixture Model (DCGMM), a new probabilistic approach for image modeling capable of density estimation, sampling and tractable inference. DCGMM instances exhibit a CNN-like layered structure, in…

Machine Learning · Computer Science 2022-03-22 Alexander Gepperth

Directed acyclic graph (DAG) models have become widely studied and applied in statistics and machine learning -- indeed, their simplicity facilitates efficient procedures for learning and inference. Unfortunately, these models are not…

Machine Learning · Statistics 2022-07-20 Bryan Andrews , Gregory F. Cooper , Thomas S. Richardson , Peter Spirtes

We introduce Graph Memory (GM), a structured non-parametric framework that represents an embedding space through a compact graph of reliability-annotated prototype regions. GM encodes local geometry and regional ambiguity through prototype…

Machine Learning · Computer Science 2026-03-27 Artur A. Oliveira , Mateus Espadoto , Roberto M. Cesar , Roberto Hirata

While deep learning has revolutionized the prediction of rigid protein structures, modelling the conformational ensembles of Intrinsically Disordered Proteins (IDPs) remains a key frontier. Current AI paradigms present a trade-off: Protein…

Biomolecules · Quantitative Biology 2025-12-19 Eoin Quinn , Marco Carobene , Jean Quentin , Sebastien Boyer , Miguel Arbesú , Oliver Bent

Causal representation learning aims to recover the latent causal variables and their causal relations, typically represented by directed acyclic graphs (DAGs), from low-level observations such as image pixels. A prevailing line of research…

Machine Learning · Computer Science 2026-04-28 Ignavier Ng , Shaoan Xie , Xinshuai Dong , Peter Spirtes , Kun Zhang

Real causal processes may contain feedback loops and change over time. In this paper, we model cycles and non-stationary distributions using a mixture of directed acyclic graphs (DAGs). We then study the conditional independence (CI)…

Statistics Theory · Mathematics 2019-09-16 Eric V. Strobl

Layout generation aims to synthesize realistic graphic scenes consisting of elements with different attributes including category, size, position, and between-element relation. It is a crucial task for reducing the burden on heavy-duty…

Computer Vision and Pattern Recognition · Computer Science 2023-03-10 Mude Hui , Zhizheng Zhang , Xiaoyi Zhang , Wenxuan Xie , Yuwang Wang , Yan Lu

A natural Bayesian approach for mixture models with an unknown number of components is to take the usual finite mixture model with Dirichlet weights, and put a prior on the number of components---that is, to use a mixture of finite mixtures…

Methodology · Statistics 2015-02-24 Jeffrey W. Miller , Matthew T. Harrison

The increasing availability and accessibility of numerous overhead images allows us to estimate and assess the spatial arrangement of groups of geospatial target objects, which can benefit many applications, such as traffic monitoring and…

Computer Vision and Pattern Recognition · Computer Science 2021-12-14 Weiwei Duan , Yao-Yi Chiang , Stefan Leyk , Johannes H. Uhl , Craig A. Knoblock

Probabilistic Graphical Models (PGMs) encode conditional dependencies among random variables using a graph -nodes for variables, links for dependencies- and factorize the joint distribution into lower-dimensional components. This makes PGMs…

Graphical models such as Markov random fields (MRFs) that are associated with undirected graphs, and Bayesian networks (BNs) that are associated with directed acyclic graphs, have proven to be a very popular approach for reasoning under…

Methodology · Statistics 2023-02-20 Ilya Shpitser

Memory units have been widely used to enrich the capabilities of deep networks on capturing long-term dependencies in reasoning and prediction tasks, but little investigation exists on deep generative models (DGMs) which are good at…

Machine Learning · Computer Science 2016-05-31 Chongxuan Li , Jun Zhu , Bo Zhang

Causal DAGs(Directed Acyclic Graphs) are usually considered in a 2D plane. Edges indicate causal effects' directions and imply their corresponding time-passings. Due to the natural restriction of statistical models, effect estimation is…

Machine Learning · Computer Science 2023-09-26 Jia Li , Xiang Li , Xiaowei Jia , Michael Steinbach , Vipin Kumar

Probabilistic graphical modeling (PGM) provides a framework for formulating an interpretable generative process of data and expressing uncertainty about unknowns, but it lacks flexibility. Deep learning (DL) is an alternative framework for…

Machine Learning · Statistics 2021-04-27 Adji B. Dieng