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High dimensional and heterogeneous count data are collected in various applied fields. In this paper, we look closely at high-resolution sequencing data on the microbiome, which have enabled researchers to study the genomes of entire…

Methodology · Statistics 2024-01-12 Veronica Vinciotti , Pariya Behrouzi , Reza Mohammadi

In Bayesian Networks (BNs), the direction of edges is crucial for causal reasoning and inference. However, Markov equivalence class considerations mean it is not always possible to establish edge orientations, which is why many BN structure…

Machine Learning · Computer Science 2022-10-19 Kiattikun Chobtham , Anthony C. Constantinou , Neville K. Kitson

In cognitive radio (CR) technology, the trend of sensing is no longer to only detect the presence of active primary users. A large number of applications demand for more comprehensive knowledge on primary user behaviors in spatial,…

Machine Learning · Computer Science 2015-02-10 Weijia Han , Huiyan Sang , Min Sheng , Jiandong Li , Shuguang Cui

We present a hybrid constraint-based/Bayesian algorithm for learning causal networks in the presence of sparse data. The algorithm searches the space of equivalence classes of models (essential graphs) using a heuristic based on…

Artificial Intelligence · Computer Science 2013-01-30 Denver Dash , Marek J. Druzdzel

The graph structure of a Bayesian network (BN) can be learned from data using the well-known score-and-search approach. Previous work has shown that incorporating structured representations of the conditional probability distributions…

Machine Learning · Computer Science 2022-06-22 Charupriya Sharma , Peter van Beek

Score functions for learning the structure of Bayesian networks in the literature assume that data are a homogeneous set of observations; whereas it is often the case that they comprise different related, but not homogeneous, data sets…

Machine Learning · Statistics 2021-07-20 Laura Azzimonti , Giorgio Corani , Marco Scutari

Learning the structure of a Bayesian Network (BN) with score-based solutions involves exploring the search space of possible graphs and moving towards the graph that maximises a given objective function. Some algorithms offer exact…

Machine Learning · Computer Science 2022-05-03 Anthony C. Constantinou , Yang Liu , Neville K. Kitson , Kiattikun Chobtham , Zhigao Guo

We introduce a principled approach for unsupervised structure learning of deep neural networks. We propose a new interpretation for depth and inter-layer connectivity where conditional independencies in the input distribution are encoded…

Machine Learning · Statistics 2018-10-18 Raanan Y. Rohekar , Shami Nisimov , Yaniv Gurwicz , Guy Koren , Gal Novik

Consider the problem of learning, from non-experimental data, the causal (Markov equivalence) structure of the true, unknown causal Bayesian network (CBN) on a given, fixed set of (categorical) variables. This learning problem is known to…

Machine Learning · Statistics 2025-02-26 Hanti Lin , Jiji Zhang

In this paper, we present a guide to the foundations of learning Dynamic Bayesian Networks (DBNs) from data in the form of multiple samples of trajectories for some length of time. We present the formalism for a generic as well as a set of…

Machine Learning · Computer Science 2024-09-02 Vyacheslav Kungurtsev , Fadwa Idlahcen , Petr Rysavy , Pavel Rytir , Ales Wodecki

We consider learning continuous probabilistic graphical models in the face of missing data. For non-Gaussian models, learning the parameters and structure of such models depends on our ability to perform efficient inference, and can be…

Machine Learning · Computer Science 2012-03-19 Gal Elidan

Bayesian networks are probabilistic graphical models widely employed to understand dependencies in high dimensional data, and even to facilitate causal discovery. Learning the underlying network structure, which is encoded as a directed…

Machine Learning · Statistics 2022-02-03 Jack Kuipers , Polina Suter , Giusi Moffa

We describe algorithms for learning Bayesian networks from a combination of user knowledge and statistical data. The algorithms have two components: a scoring metric and a search procedure. The scoring metric takes a network structure,…

Artificial Intelligence · Computer Science 2015-05-19 David Heckerman , Dan Geiger , David Maxwell Chickering

Continuous time Bayesian networks (CTBNs) describe structured stochastic processes with finitely many states that evolve over continuous time. A CTBN is a directed (possibly cyclic) dependency graph over a set of variables, each of which…

Machine Learning · Computer Science 2012-12-12 Uri Nodelman , Christian R. Shelton , Daphne Koller

We consider the problem of learning structures and parameters of Continuous-time Bayesian Networks (CTBNs) from time-course data under minimal experimental resources. In practice, the cost of generating experimental data poses a bottleneck,…

Machine Learning · Statistics 2022-01-12 Dominik Linzner , Heinz Koeppl

Several structure learning algorithms have been proposed towards discovering causal or Bayesian Network (BN) graphs. The validity of these algorithms tends to be evaluated by assessing the relationship between the learnt and the ground…

Machine Learning · Computer Science 2020-09-03 Anthony C. Constantinou

We describe algorithms for learning Bayesian networks from a combination of user knowledge and statistical data. The algorithms have two components: a scoring metric and a search procedure. The scoring metric takes a network structure,…

Artificial Intelligence · Computer Science 2021-06-29 Dan Geiger , David Heckerman

This study investigates the causal relationships between Clinical Dementia Ratings (CDR) and its six domain scores across two distinct aging datasets: the Alzheimer's Disease Neuroimaging Initiative (ADNI) and the Longitudinal Aging Study…

Machine Learning · Computer Science 2024-08-26 Wupadrasta Santosh Kumar , Sayali Rajendra Bhutare , Neelam Sinha , Thomas Gregor Issac

Estimating dependence relationships between variables is a crucial issue in many applied domains, such as medicine, social sciences and psychology. When several variables are entertained, these can be organized into a network which encodes…

Methodology · Statistics 2025-01-01 Federico Castelletti

Bayesian network structure learning is often performed in a Bayesian setting, by evaluating candidate structures using their posterior probabilities for a given data set. Score-based algorithms then use those posterior probabilities as an…

Machine Learning · Statistics 2017-03-14 Marco Scutari