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Weighted model integration (WMI) is a very appealing framework for probabilistic inference: it allows to express the complex dependencies of real-world problems where variables are both continuous and discrete, via the language of…

Artificial Intelligence · Computer Science 2020-08-21 Zhe Zeng , Paolo Morettin , Fanqi Yan , Antonio Vergari , Guy Van den Broeck

Weighted Model Integration (WMI) is a popular formalism aimed at unifying approaches for probabilistic inference in hybrid domains, involving logical and algebraic constraints. Despite a considerable amount of recent work, allowing WMI…

Artificial Intelligence · Computer Science 2022-06-29 Giuseppe Spallitta , Gabriele Masina , Paolo Morettin , Andrea Passerini , Roberto Sebastiani

The development of efficient exact and approximate algorithms for probabilistic inference is a long-standing goal of artificial intelligence research. Whereas substantial progress has been made in dealing with purely discrete or purely…

Artificial Intelligence · Computer Science 2024-10-23 Giuseppe Spallitta , Gabriele Masina , Paolo Morettin , Andrea Passerini , Roberto Sebastiani

Weighted model integration (WMI) extends weighted model counting (WMC) in providing a computational abstraction for probabilistic inference in mixed discrete-continuous domains. WMC has emerged as an assembly language for state-of-the-art…

Artificial Intelligence · Computer Science 2020-01-14 Anton Fuxjaeger , Vaishak Belle

Weighted model integration (WMI) extends Weighted model counting (WMC) to the integration of functions over mixed discrete-continuous domains. It has shown tremendous promise for solving inference problems in graphical models and…

Artificial Intelligence · Computer Science 2019-11-21 Zhe Zeng , Guy Van den Broeck

Weighted model counting (WMC) is a popular framework to perform probabilistic inference with discrete random variables. Recently, WMC has been extended to weighted model integration (WMI) in order to additionally handle continuous…

Artificial Intelligence · Computer Science 2021-03-26 Ivan Miosic , Pedro Zuidberg Dos Martires

In machine learning (ML) verification, the majority of procedures are non-quantitative and therefore cannot be used for verifying probabilistic models, or be applied in domains where hard guarantees are practically unachievable. The…

Artificial Intelligence · Computer Science 2024-10-24 Paolo Morettin , Andrea Passerini , Roberto Sebastiani

Mutual information (MI) is a general measure of statistical dependence with widespread application across the sciences. However, estimating MI between multi-dimensional variables is challenging because the number of samples necessary to…

Quantitative Methods · Quantitative Biology 2025-03-06 Gokul Gowri , Xiao-Kang Lun , Allon M. Klein , Peng Yin

Probabilistic inference in the hybrid domain, i.e. inference over discrete-continuous domains, requires tackling two well known #P-hard problems 1)~weighted model counting (WMC) over discrete variables and 2)~integration over continuous…

Artificial Intelligence · Computer Science 2020-01-15 Pedro Zuidberg Dos Martires , Samuel Kolb

Probabilistic representations, such as Bayesian and Markov networks, are fundamental to much of statistical machine learning. Thus, learning probabilistic representations directly from data is a deep challenge, the main computational…

Machine Learning · Computer Science 2018-09-20 Andreas Bueff , Stefanie Speichert , Vaishak Belle

Recent work on quantitative approaches to explaining query answers employs responsibility measures to assign scores to facts in order to quantify their respective contributions to obtaining a given answer. In this paper, we study the…

Artificial Intelligence · Computer Science 2025-08-01 Meghyn Bienvenu , Diego Figueira , Pierre Lafourcade

A wide variety of model explanation approaches have been proposed in recent years, all guided by very different rationales and heuristics. In this paper, we take a new route and cast interpretability as a statistical inference problem. We…

Machine Learning · Computer Science 2024-01-01 Hugo Henri Joseph Senetaire , Damien Garreau , Jes Frellsen , Pierre-Alexandre Mattei

Probabilistic models learned as density estimators can be exploited in representation learning beside being toolboxes used to answer inference queries only. However, how to extract useful representations highly depends on the particular…

Machine Learning · Computer Science 2016-08-12 Antonio Vergari , Nicola Di Mauro , Floriana Esposito

In recent years, word embeddings have been widely used to measure biases in texts. Even if they have proven to be effective in detecting a wide variety of biases, metrics based on word embeddings lack transparency and interpretability. We…

Computation and Language · Computer Science 2023-07-19 Francisco Valentini , Germán Rosati , Damián Blasi , Diego Fernandez Slezak , Edgar Altszyler

Mechanistic interpretability (MI) is an emerging framework for interpreting neural networks. Given a task and model, MI aims to discover a succinct algorithmic process, an interpretation, that explains the model's decision process on that…

Machine Learning · Computer Science 2026-04-01 Alan Sun , Mariya Toneva

We develop the use of mutual information (MI), a well-established metric in information theory, to interpret the inner workings of deep learning models. To accurately estimate MI from a finite number of samples, we present GMM-MI…

Data Analysis, Statistics and Probability · Physics 2023-04-12 Davide Piras , Hiranya V. Peiris , Andrew Pontzen , Luisa Lucie-Smith , Ningyuan Guo , Brian Nord

Reasoning under uncertainty is a fundamental challenge in Artificial Intelligence. As with most of these challenges, there is a harsh dilemma between the expressive power of the language used, and the tractability of the computational…

Artificial Intelligence · Computer Science 2025-05-08 Luise Ge , Brendan Juba , Kris Nilsson

Probabilistic models based on continuous latent spaces, such as variational autoencoders, can be understood as uncountable mixture models where components depend continuously on the latent code. They have proven to be expressive tools for…

Machine Learning · Computer Science 2024-06-27 Alvaro H. C. Correia , Gennaro Gala , Erik Quaeghebeur , Cassio de Campos , Robert Peharz

We analyze variational inference for highly symmetric graphical models such as those arising from first-order probabilistic models. We first show that for these graphical models, the tree-reweighted variational objective lends itself to a…

Artificial Intelligence · Computer Science 2014-06-23 Hung Hai Bui , Tuyen N. Huynh , David Sontag

Weighting methods in causal inference have been widely used to achieve a desirable level of covariate balancing. However, the existing weighting methods have desirable theoretical properties only when a certain model, either the propensity…

Machine Learning · Statistics 2023-05-24 Insung Kong , Yuha Park , Joonhyuk Jung , Kwonsang Lee , Yongdai Kim
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