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Deep directed generative models have attracted much attention recently due to their expressive representation power and the ability of ancestral sampling. One major difficulty of learning directed models with many latent variables is the…

Machine Learning · Computer Science 2015-06-16 Siqi Nie , Qiang Ji

Many network datasets exhibit connectivity with variance by resolution and large-scale organization that coexists with localized departures. When vertices have observed ordering or embedding, such as geography in spatial and village…

Statistics Theory · Mathematics 2025-12-23 Marios Papamichalis , Regina Ruane

Exponential family random graph models (ERGMs) can be understood in terms of a set of structural biases that act on an underlying reference distribution. This distribution determines many aspects of the behavior and interpretation of the…

Statistics Theory · Mathematics 2020-01-07 Carter T. Butts

We consider learning from labeled data collected across multiple environments, where the data distribution may vary across these environments. This problem is commonly approached from a causal perspective, seeking invariant representations…

Machine Learning · Statistics 2026-04-30 Yuli Slavutsky , David M. Blei

The exponential family of random graphs represents an important and challenging class of network models. Despite their flexibility, conventionally used exponential random graphs have one shortcoming. They cannot directly model weighted…

Probability · Mathematics 2016-07-15 Mei Yin

Time-varying linear state-space models are powerful tools for obtaining mathematically interpretable representations of neural signals. For example, switching and decomposed models describe complex systems using latent variables that evolve…

We present a comprehensive study of graphical log-linear models for contingency tables. High dimensional contingency tables arise in many areas such as computational biology, collection of survey and census data and others. Analysis of…

Methodology · Statistics 2016-03-15 Niharika Gauraha

Given a reference model that includes all the available variables, projection predictive inference replaces its posterior with a constrained projection including only a subset of all variables. We extend projection predictive inference to…

Computation · Statistics 2021-09-13 Alejandro Catalina , Paul Bürkner , Aki Vehtari

Data-carving methods perform selective inference by conditioning the distribution of data on the observed selection event. However, existing data-carving approaches typically require an analytically tractable characterization of the…

Methodology · Statistics 2025-06-03 Sifan Liu , Snigdha Panigrahi

Learning controllable and generalizable representation of multivariate data with desired structural properties remains a fundamental problem in machine learning. In this paper, we present a novel framework for learning generative models…

Machine Learning · Computer Science 2020-10-05 Ruixiang Zhang , Masanori Koyama , Katsuhiko Ishiguro

Gaussian graphical models (GGMs) are widely used to recover the conditional independence structure among random variables. Recent work has sought to incorporate auxiliary covariates to improve estimation, particularly in applications such…

Methodology · Statistics 2026-03-31 Ruobin Liu , Guo Yu

We consider the problem of learning the structure of undirected graphical models with bounded treewidth, within the maximum likelihood framework. This is an NP-hard problem and most approaches consider local search techniques. In this…

Machine Learning · Computer Science 2012-12-12 K. S. Sesh Kumar , Francis Bach

Exponential-family Random Graph Models (ERGMs) constitute a large statistical framework for modeling sparse and dense random graphs, short- and long-tailed degree distributions, covariates, and a wide range of complex dependencies. Special…

Methodology · Statistics 2021-05-21 Michael Schweinberger , Pavel N. Krivitsky , Carter T. Butts , Jonathan Stewart

The use of latent variable models has shown to be a powerful tool for modeling probability distributions over sequences. In this paper, we introduce a new variational model that extends the recurrent network in two ways for the task of…

Computer Vision and Pattern Recognition · Computer Science 2020-12-14 Haziq Razali , Basura Fernando

Latent variable models are popularly used to measure latent factors (e.g., abilities and personalities) from large-scale assessment data. Beyond understanding these latent factors, the covariate effect on responses controlling for latent…

Methodology · Statistics 2026-01-12 Jing Ouyang , Chengyu Cui , Kean Ming Tan , Gongjun Xu

The {\lambda}-exponential family has recently been proposed to generalize the exponential family. While the exponential family is well-understood and widely used, this it not the case of the {\lambda}-exponential family. However, many…

Statistics Theory · Mathematics 2024-06-21 Thomas Guilmeau , Emilie Chouzenoux , Víctor Elvira

A key goal of unsupervised learning is to go beyond density estimation and sample generation to reveal the structure inherent within observed data. Such structure can be expressed in the pattern of interactions between explanatory latent…

Machine Learning · Computer Science 2022-11-11 Changmin Yu , Hugo Soulat , Neil Burgess , Maneesh Sahani

Many causal systems such as biological processes in cells can only be observed indirectly via measurements, such as gene expression. Causal representation learning -- the task of correctly mapping low-level observations to latent causal…

Machine Learning · Computer Science 2025-10-31 Elliot Layne , Jason Hartford , Sébastien Lachapelle , Mathieu Blanchette , Dhanya Sridhar

Training generative models that capture rich semantics of the data and interpreting the latent representations encoded by such models are very important problems in un-/self-supervised learning. In this work, we provide a simple algorithm…

Machine Learning · Computer Science 2024-09-02 Samuel C. Hoffman , Payel Das , Karthikeyan Shanmugam , Kahini Wadhawan , Prasanna Sattigeri

We introduce a novel class of graphical models, termed profile graphical models, that represent, within a single graph, how an external factor influences the dependence structure of a multivariate set of variables. This class is quite…

Methodology · Statistics 2026-03-31 Alejandra Avalos-Pacheco , Monia Lupparelli , Francesco C. Stingo
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