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We introduce a flexible framework for modeling dependent feature allocations. Our approach addresses limitations in traditional nonparametric methods by directly modeling the logit-probability surface of the feature paintbox, enabling the…

Methodology · Statistics 2025-12-22 Bernardo Flores , Yang Ni , Yanxun Xu , Peter Müller

Dropout represents a typical issue to be addressed when dealing with longitudinal studies. If the mechanism leading to missing information is non-ignorable, inference based on the observed data only may be severely biased. A frequent…

Methodology · Statistics 2018-03-23 Maria Francesca Marino , Marco Alfo'

Pattern-mixture models provide a transparent approach for handling missing data, where the full-data distribution is factorized in a way that explicitly shows the parts that can be estimated from observed data alone, and the parts that…

Methodology · Statistics 2019-04-26 Yen-Chi Chen , Mauricio Sadinle

Mathematical modeling of production systems is the foundation of all model-based approaches for production system analysis, design, improvement, and control. To construct such a model for the stochastic process of the production system more…

Systems and Control · Electrical Eng. & Systems 2024-05-22 Yuting Sun , Liang Zhang

Closed-source frontier labs do not disclose parameter counts, and the standard alternative -- inference economics -- carries $2\times$+ uncertainty from hardware, batching, and serving-stack assumptions external to the model. We exploit a…

Machine Learning · Computer Science 2026-04-29 Bojie Li

A novel framework is introduced to formalize identifiability in well-specified but ill-posed linear regression models. The framework is distribution-free and accommodates highly correlated features that may or may not relate to the…

Statistics Theory · Mathematics 2026-03-05 Gianluca Finocchio , Tatyana Krivobokova

We present a differentiable approach to learn the probabilistic factors used for inference by a nonparametric belief propagation algorithm. Existing nonparametric belief propagation methods rely on domain-specific features encoded in the…

Mechanistic interpretability aims to understand the behavior of neural networks by reverse-engineering their internal computations. However, current methods struggle to find clear interpretations of neural network activations because a…

We present Integer Linear Programming (ILP) Modulo Theories (IMT). An IMT instance is an Integer Linear Programming instance, where some symbols have interpretations in background theories. In previous work, the IMT approach has been…

Logic in Computer Science · Computer Science 2013-04-09 Panagiotis Manolios , Vasilis Papavasileiou

The Information Bottleneck (IB) principle has emerged as a promising approach for enhancing the generalization, robustness, and interpretability of deep neural networks, demonstrating efficacy across image segmentation, document clustering,…

Information Theory · Computer Science 2025-04-18 Hanzhe Yang , Youlong Wu , Dingzhu Wen , Yong Zhou , Yuanming Shi

A semi-parametric, non-linear regression model in the presence of latent variables is introduced. These latent variables can correspond to unmodeled phenomena or unmeasured agents in a complex networked system. This new formulation allows…

Machine Learning · Statistics 2018-06-29 Jonathan Mei , José M. F. Moura

Several approximate inference methods have been proposed for deep discrete latent variable models. However, non-parametric methods which have previously been successfully employed for classical sparse coding models have largely been…

Machine Learning · Computer Science 2023-03-16 Arunesh Mittal , Kai Yang , Paul Sajda , John Paisley

Recent advances in nonlinear Independent Component Analysis (ICA) provide a principled framework for unsupervised feature learning and disentanglement. The central idea in such works is that the latent components are assumed to be…

Machine Learning · Statistics 2020-06-23 Hermanni Hälvä , Aapo Hyvärinen

This paper develops the inferential theory for latent factor models estimated from large dimensional panel data with missing observations. We propose an easy-to-use all-purpose estimator for a latent factor model by applying principal…

Econometrics · Economics 2022-01-11 Ruoxuan Xiong , Markus Pelger

The Information Bottleneck (IB) method is an information theoretical framework to design a parsimonious and tunable feature-extraction mechanism, such that the extracted features are maximally relevant to a specific learning or inference…

Signal Processing · Electrical Eng. & Systems 2024-04-17 Francesco Binucci , Paolo Banelli , Paolo Di Lorenzo , Sergio Barbarossa

The problem of merging databases arises in many government and commercial applications. Schema matching, a common first step, identifies equivalent fields between databases. We introduce a schema matching framework that builds nonparametric…

Information Retrieval · Computer Science 2015-07-07 Erik M. Ferragut , Jason Laska

Recently, nonlinear ICA has surfaced as a popular alternative to the many heuristic models used in deep representation learning and disentanglement. An advantage of nonlinear ICA is that a sophisticated identifiability theory has been…

Machine Learning · Statistics 2023-11-29 Hermanni Hälvä , Jonathan So , Richard E. Turner , Aapo Hyvärinen

Many datasets have been shown to contain incidental correlations created by idiosyncrasies in the data collection process. For example, sentence entailment datasets can have spurious word-class correlations if nearly all contradiction…

Machine Learning · Computer Science 2020-11-10 Christopher Clark , Mark Yatskar , Luke Zettlemoyer

Local Binary Pattern (LBP) is a traditional descriptor for texture analysis that gained attention in the last decade. Being robust to several properties such as invariance to illumination translation and scaling, LBPs achieved…

Computer Vision and Pattern Recognition · Computer Science 2017-11-20 Kelwin Fernandes , Jaime S. Cardoso

We consider the problem of sequential estimation of the unknowns of state-space and deep state-space models that include estimation of functions and latent processes of the models. The proposed approach relies on Gaussian and deep Gaussian…

Machine Learning · Computer Science 2024-03-26 Yuhao Liu , Marzieh Ajirak , Petar Djuric