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Hierarchical probabilistic models, such as Gaussian mixture models, are widely used for unsupervised learning tasks. These models consist of observable and latent variables, which represent the observable data and the underlying…

Machine Learning · Statistics 2015-03-26 Keisuke Yamazaki

We introduce a new and rigorously-formulated PAC-Bayes meta-learning algorithm that solves few-shot learning. Our proposed method extends the PAC-Bayes framework from a single task setting to the meta-learning multiple task setting to…

Machine Learning · Computer Science 2021-11-02 Cuong Nguyen , Thanh-Toan Do , Gustavo Carneiro

Finite mixtures of matrix normal distributions are a powerful tool for classifying three-way data in unsupervised problems. The distribution of each component is assumed to be a matrix variate normal density. The mixture model can be…

Methodology · Statistics 2013-03-07 Cinzia Viroli

We propose a novel approach for using unsupervised boosting to create an ensemble of generative models, where models are trained in sequence to correct earlier mistakes. Our meta-algorithmic framework can leverage any existing base learner…

Machine Learning · Computer Science 2017-12-25 Aditya Grover , Stefano Ermon

We propose a new framework for generating cross-sectional synthetic datasets via disjoint generative models. In this paradigm, a dataset is partitioned into disjoint subsets that are supplied to separate instances of generative models. The…

Machine Learning · Computer Science 2025-07-29 Anton Danholt Lautrup , Muhammad Rajabinasab , Tobias Hyrup , Arthur Zimek , Peter Schneider-Kamp

A new methodology for model determination in decomposable graphical Gaussian models is developed. The Bayesian paradigm is used and, for each given graph, a hyper inverse Wishart prior distribution on the covariance matrix is considered.…

Computation · Statistics 2015-03-13 Sophie Donnet , Jean-Michel Marin

Meta-learning can successfully acquire useful inductive biases from data. Yet, its generalization properties to unseen learning tasks are poorly understood. Particularly if the number of meta-training tasks is small, this raises concerns…

Machine Learning · Statistics 2021-06-21 Jonas Rothfuss , Vincent Fortuin , Martin Josifoski , Andreas Krause

Probabilistic graphical models (PGMs) are widely used to discover latent structure in data, but their success hinges on selecting an appropriate model design. In practice, model specification is difficult and often requires iterative…

Machine Learning · Computer Science 2026-04-08 Kevin Zhang , Yixin Wang

We study Bayesian discriminative inference given a model family $p(c,\x, \theta)$ that is assumed to contain all our prior information but still known to be incorrect. This falls in between "standard" Bayesian generative modeling and…

Machine Learning · Statistics 2008-11-18 Jarkko Salojärvi , Kai Puolamäki , Eerika Savia , Samuel Kaski

Facial Attribute Classification (FAC) holds substantial promise in widespread applications. However, FAC models trained by traditional methodologies can be unfair by exhibiting accuracy inconsistencies across varied data subpopulations.…

Computer Vision and Pattern Recognition · Computer Science 2024-03-26 Fengda Zhang , Qianpei He , Kun Kuang , Jiashuo Liu , Long Chen , Chao Wu , Jun Xiao , Hanwang Zhang

Density estimation, which estimates the distribution of data, is an important category of probabilistic machine learning. A family of density estimators is mixture models, such as Gaussian Mixture Model (GMM) by expectation maximization.…

Machine Learning · Statistics 2023-10-18 Benyamin Ghojogh , Milad Amir Toutounchian

Machine learning techniques not only offer efficient tools for modelling dynamical systems from data, but can also be employed as frontline investigative instruments for the underlying physics. Nontrivial information about the original…

Data Analysis, Statistics and Probability · Physics 2021-02-24 Francesco Borra , Marco Baldovin

Increasing effort is put into the development of methods for learning mechanistic models from data. This task entails not only the accurate estimation of parameters but also a suitable model structure. Recent work on the discovery of…

Machine Learning · Computer Science 2024-07-01 Justin N. Kreikemeyer , Philipp Andelfinger , Adelinde M. Uhrmacher

Complex, multivariable systems are often analyzed by grouping their constituent units into components, sometimes referred to as latent features, which afford physical or biological interpretation. However, a priori many different types of…

Disordered Systems and Neural Networks · Physics 2026-05-01 Philipp Fleig , Ilya Nemenman

Prevalent semantic segmentation solutions are, in essence, a dense discriminative classifier of p(class|pixel feature). Though straightforward, this de facto paradigm neglects the underlying data distribution p(pixel feature|class), and…

Computer Vision and Pattern Recognition · Computer Science 2022-10-06 Chen Liang , Wenguan Wang , Jiaxu Miao , Yi Yang

Ancestral graph models, introduced by Richardson and Spirtes (2002), generalize both Markov random fields and Bayesian networks to a class of graphs with a global Markov property that is closed under conditioning and marginalization. By…

Methodology · Statistics 2012-07-19 Mathias Drton , Thomas S. Richardson

In probabilistic modelling, joint distributions are often of more interest than their marginals, but the standard composition of stochastic channels is defined by marginalization. Last year at ACT, the notion of 'copy-composition' was…

Category Theory · Mathematics 2025-09-26 Toby St Clere Smithe

How to model distribution of sequential data, including but not limited to speech and human motions, is an important ongoing research problem. It has been demonstrated that model capacity can be significantly enhanced by introducing…

Machine Learning · Computer Science 2018-06-19 Guokun Lai , Bohan Li , Guoqing Zheng , Yiming Yang

With the advent of structured data in the form of social networks, genetic circuits and protein interaction networks, statistical analysis of networks has gained popularity over recent years. Stochastic block model constitutes a classical…

Statistics Theory · Mathematics 2015-05-27 Debdeep Pati , Anirban Bhattacharya

Genetical genomics experiments have now been routinely conducted to measure both the genetic markers and gene expression data on the same subjects. The gene expression levels are often treated as quantitative traits and are subject to…

Applications · Statistics 2012-03-01 Jianxin Yin , Hongzhe Li