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Dependency networks (Heckerman et al., 2000) are potential probabilistic graphical models for systems comprising a large number of variables. Like Bayesian networks, the structure of a dependency network is represented by a directed graph,…

Machine Learning · Computer Science 2021-07-05 Kazuya Takabatake , Shotaro Akaho

Graphical model learning and inference are often performed using Bayesian techniques. In particular, learning is usually performed in two separate steps. First, the graph structure is learned from the data; then the parameters of the model…

Statistics Theory · Mathematics 2013-09-09 Marco Scutari

We consider the problem of modelling high-dimensional distributions and generating new examples of data with complex relational feature structure coherent with a graph skeleton. The model we propose tackles the problem of generating the…

Machine Learning · Computer Science 2022-12-02 Yoann Boget , Magda Gregorova , Alexandros Kalousis

We study the training dynamics of neural classifiers through the lens of binary hypothesis testing. We re-formalize classification as a collection of binary tests between class-conditional distributions induced by learned representations…

Machine Learning · Computer Science 2026-05-18 Kadircan Aksoy , Protim Bhattacharjee , Peter Jung

We introduce and motivate generative modeling as a central task for machine learning and provide a critical view of the algorithms which have been proposed for solving this task. We overview how generative modeling can be defined…

Machine Learning · Computer Science 2021-03-02 Alex Lamb

Bayesian inference on structured models typically relies on the ability to infer posterior distributions of underlying hidden variables. However, inference in implicit models or complex posterior distributions is hard. A popular tool for…

Machine Learning · Statistics 2016-12-16 Theofanis Karaletsos

Generative adversarial networks (GANs) have given us a great tool to fit implicit generative models to data. Implicit distributions are ones we can sample from easily, and take derivatives of samples with respect to model parameters. These…

Machine Learning · Statistics 2017-02-28 Ferenc Huszár

Generative adversarial networks (GANs) are a method based on the training of two neural networks, one called generator and the other discriminator, competing with each other to generate new instances that resemble those of the probability…

Artificial Intelligence · Computer Science 2023-02-21 Jordi de la Torre

Since their introduction by Kipf and Welling in $2017$, a primary use of graph convolutional networks is transductive node classification, where missing labels are inferred within a single observed graph and its feature matrix. Despite the…

Machine Learning · Statistics 2025-09-09 Nils Detering , Luca Galimberti , Anastasis Kratsios , Giulia Livieri , A. Martina Neuman

Generative adversarial networks (GANs) provide an algorithmic framework for constructing generative models with several appealing properties: they do not require a likelihood function to be specified, only a generating procedure; they…

Machine Learning · Statistics 2017-02-28 Shakir Mohamed , Balaji Lakshminarayanan

In this paper we study the problem of social learning under multiple true hypotheses and self-interested agents which exchange information over a graph. In this setup, each agent receives data that might be generated from a different…

Multiagent Systems · Computer Science 2021-10-27 Konstantinos Ntemos , Virginia Bordignon , Stefan Vlaski , Ali H. Sayed

Unsupervised anomaly detection is a daunting task, as it relies solely on normality patterns from the training data to identify unseen anomalies during testing. Recent approaches have focused on leveraging domain-specific transformations or…

Machine Learning · Computer Science 2024-09-17 Hyuntae Kim , Changhee Lee

Graph neural networks (GNNs), which propagate the node features through the edges and learn how to transform the aggregated features under label supervision, have achieved great success in supervised feature extraction for both node-level…

Machine Learning · Statistics 2022-11-01 Yilin He , Chaojie Wang , Hao Zhang , Bo Chen , Mingyuan Zhou

In the context of modern machine learning, models deployed in real-world scenarios often encounter diverse data shifts like covariate and semantic shifts, leading to challenges in both out-of-distribution (OOD) generalization and detection.…

Machine Learning · Computer Science 2024-09-30 Han Wang , Yixuan Li

For classification tasks, probabilistic models can be categorized into two disjoint classes: generative or discriminative. It depends on the posterior probability computation of the label $x$ given the observation $y$, $p(x | y)$. On the…

Machine Learning · Statistics 2021-03-08 Elie Azeraf , Emmanuel Monfrini , Wojciech Pieczynski

How does neural connectivity in autistic children differ from neural connectivity in healthy children or autistic youths? What patterns in global trade networks are shared across classes of goods, and how do these patterns change over time?…

Social and Information Networks · Computer Science 2022-03-11 Corinna Coupette , Sebastian Dalleiger , Jilles Vreeken

Social and real-world considerations such as robustness, fairness, social welfare and multi-agent tradeoffs have given rise to multi-distribution learning paradigms, such as collaborative learning, group distributionally robust…

Machine Learning · Computer Science 2024-04-04 Nika Haghtalab , Michael I. Jordan , Eric Zhao

Generative models are typically trained on grid-like data such as images. As a result, the size of these models usually scales directly with the underlying grid resolution. In this paper, we abandon discretized grids and instead…

Machine Learning · Computer Science 2022-02-18 Emilien Dupont , Yee Whye Teh , Arnaud Doucet

The presented paper tackles the problem of modeling an unknown function, and its first $r-1$ derivatives, out of scattered and poor-quality data. The considered setting embraces a large number of use cases addressed in the literature and…

Systems and Control · Electrical Eng. & Systems 2022-10-28 Biagio Trimarchi , Lorenzo Gentilini , Fabrizio Schiano , Lorenzo Marconi

We present a technique to characterize differentially expressed genes in terms of their position in a high-dimensional co-expression network. The set-up of Gaussian graphical models is used to construct representations of the co-expression…

Applications · Statistics 2010-11-17 Gabriel C. G. de Abreu , Rodrigo Labouriau