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We introduce a new class of identifiable DAG models where the conditional distribution of each node given its parents belongs to a family of generalized hypergeometric distributions (GHD). A family of generalized hypergeometric…

Machine Learning · Statistics 2019-10-17 Gunwoong Park , Hyewon Park

We consider the problem of learning a Bayesian network or directed acyclic graph (DAG) model from observational data. A number of constraint-based, score-based and hybrid algorithms have been developed for this purpose. For constraint-based…

Statistics Theory · Mathematics 2019-07-30 Garvesh Raskutti , Caroline Uhler

We present a novel neural architecture to solve graph optimization problems where the solution consists of arbitrary node labels, allowing us to solve hard problems like graph coloring. We train our model using reinforcement learning,…

Machine Learning · Computer Science 2022-05-11 Lukas Gianinazzi , Maximilian Fries , Nikoli Dryden , Tal Ben-Nun , Maciej Besta , Torsten Hoefler

Learning Bayesian Networks (BNs) from high-dimensional data is a complex and time-consuming task. Although there are approaches based on horizontal (instances) or vertical (variables) partitioning in the literature, none can guarantee the…

Machine Learning · Computer Science 2024-09-23 Jorge D. Laborda , Pablo Torrijos , José M. Puerta , José A. Gámez

A key problem in deep multi-attribute learning is to effectively discover the inter-attribute correlation structures. Typically, the conventional deep multi-attribute learning approaches follow the pipeline of manually designing the network…

Neural and Evolutionary Computing · Computer Science 2018-08-03 Siyu Huang , Xi Li , Zhi-Qi Cheng , Zhongfei Zhang , Alexander Hauptmann

Directed acyclic graph (DAG) tasks are currently adopted in the real-time domain to model complex applications from the automotive, avionics, and industrial domains that implement their functionalities through chains of intercommunicating…

Machine Learning · Computer Science 2024-01-12 Binqi Sun , Mirco Theile , Ziyuan Qin , Daniele Bernardini , Debayan Roy , Andrea Bastoni , Marco Caccamo

We propose a novel algorithm for efficiently computing a sparse directed adjacency matrix from a group of time series following a causal graph process. Our solution is scalable for both dense and sparse graphs and automatically selects the…

Machine Learning · Statistics 2019-11-19 Théophile Griveau-Billion , Ben Calderhead

Discovering causal structure among a set of variables is a fundamental problem in many empirical sciences. Traditional score-based casual discovery methods rely on various local heuristics to search for a Directed Acyclic Graph (DAG)…

Machine Learning · Computer Science 2020-06-09 Shengyu Zhu , Ignavier Ng , Zhitang Chen

Probabilistic graphical models play a crucial role in machine learning and have wide applications in various fields. One pivotal subset is undirected graphical models, also known as Markov random fields. In this work, we investigate the…

Quantum Physics · Physics 2022-08-25 Liming Zhao , Lin-chun Wan , Ming-Xing Luo

In the context of inferring a Bayesian network structure (directed acyclic graph, DAG for short), we devise a non-reversible continuous time Markov chain, the ``Causal Zig-Zag sampler'', that targets a probability distribution over classes…

Machine Learning · Statistics 2024-09-12 Moritz Schauer , Marcel Wienöbst

Modern data analysis pipelines are becoming increasingly complex due to the presence of multi-view information sources. While graphs are effective in modeling complex relationships, in many scenarios a single graph is rarely sufficient to…

Machine Learning · Statistics 2019-04-02 Uday Shankar Shanthamallu , Jayaraman J. Thiagarajan , Huan Song , Andreas Spanias

Finding a maximum-weight matching is a classical and well-studied problem in computer science, solvable in cubic time in general graphs. We consider the specialization called assignment problem where the input is a bipartite graph, and…

Data Structures and Algorithms · Computer Science 2024-10-15 Romaric Duvignau , Noël Gillet , Ralf Klasing

Graph alignment aims at finding the vertex correspondence between two correlated graphs, a task that frequently occurs in graph mining applications such as social network analysis. Attributed graph alignment is a variant of graph alignment,…

Data Structures and Algorithms · Computer Science 2024-03-13 Ziao Wang , Ning Zhang , Weina Wang , Lele Wang

We propose an empirical Bayes formulation of the structure learning problem, where the prior specification assumes that all node variables have the same error variance, an assumption known to ensure the identifiability of the underlying…

Computation · Statistics 2023-08-17 Hyunwoong Chang , James Cai , Quan Zhou

Multiple instance learning (MIL) has attracted great attention recently in machine learning community. However, most MIL algorithms are very slow and cannot be applied to large datasets. In this paper, we propose a greedy strategy to speed…

Machine Learning · Computer Science 2012-05-04 Gang Chen , Jason Corso

The problem of learning a directed acyclic graph (DAG) up to Markov equivalence is equivalent to the problem of finding a permutation of the variables that induces the sparsest graph. Without additional assumptions, this task is known to be…

Methodology · Statistics 2020-11-10 Chandler Squires , Joshua Amaniampong , Caroline Uhler

We propose a joint order-based scoring framework for causal structure learning of directed acyclic graph (DAG) models under heterogeneous data settings. We show that leveraging heterogeneity improves the accuracy of causal ordering…

Methodology · Statistics 2026-05-18 Hyunwoong Chang , Fariha Taskin

Motivated by modern applications such as computerized adaptive testing, sequential rank aggregation, and heterogeneous data source selection, we study the problem of active sequential estimation, which involves adaptively selecting…

Statistics Theory · Mathematics 2024-02-14 Xiaoou Li , Hongru Zhao

Causal structure learning has been a challenging task in the past decades and several mainstream approaches such as constraint- and score-based methods have been studied with theoretical guarantees. Recently, a new approach has transformed…

Machine Learning · Computer Science 2019-11-19 Ignavier Ng , Shengyu Zhu , Zhitang Chen , Zhuangyan Fang

The frame algorithm uses a simple recursive formula to approximate an unknown vector from its frame coefficients. This note introduces an adaptive version of the frame algorithm that maximizes the error reduction between steps in terms of…

Functional Analysis · Mathematics 2025-06-24 Brody Dylan Johnson
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