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Causal discovery and inference from observational data is an essential problem in statistics posing both modeling and computational challenges. These are typically addressed by imposing strict assumptions on the joint distribution such as…

Machine Learning · Statistics 2024-02-20 Enrico Giudice , Jack Kuipers , Giusi Moffa

Considering a probability distribution over parameters is known as an efficient strategy to learn a neural network with non-differentiable activation functions. We study the expectation of a probabilistic neural network as a predictor by…

Machine Learning · Computer Science 2023-04-17 Louis Fortier-Dubois , Gaël Letarte , Benjamin Leblanc , François Laviolette , Pascal Germain

We present a new approach for inference in Bayesian networks, which is mainly based on partial differentiation. According to this approach, one compiles a Bayesian network into a multivariate polynomial and then computes the partial…

Artificial Intelligence · Computer Science 2013-01-18 Adnan Darwiche

The traditional two-stage approach to causal inference first identifies a single causal model (or equivalence class of models), which is then used to answer causal queries. However, this neglects any epistemic model uncertainty. In…

Machine Learning · Computer Science 2025-04-25 Christian Toth , Christian Knoll , Franz Pernkopf , Robert Peharz

A Bayesian network is a widely used probabilistic graphical model with applications in knowledge discovery and prediction. Learning a Bayesian network (BN) from data can be cast as an optimization problem using the well-known…

Artificial Intelligence · Computer Science 2018-11-14 Zhenyu A. Liao , Charupriya Sharma , James Cussens , Peter van Beek

Causal abstraction is a promising theoretical framework for explainable artificial intelligence that defines when an interpretable high-level causal model is a faithful simplification of a low-level deep learning system. However, existing…

Artificial Intelligence · Computer Science 2024-02-23 Atticus Geiger , Zhengxuan Wu , Christopher Potts , Thomas Icard , Noah D. Goodman

A Bayesian network is a widely used probabilistic graphical model with applications in knowledge discovery and prediction. Learning a Bayesian network (BN) from data can be cast as an optimization problem using the well-known…

Artificial Intelligence · Computer Science 2020-09-01 Zhenyu A. Liao , Charupriya Sharma , James Cussens , Peter van Beek

This paper provides a critical review of the Bayesian perspective of causal inference based on the potential outcomes framework. We review the causal estimands, identification assumptions, the general structure of Bayesian inference of…

Methodology · Statistics 2022-10-25 Fan Li , Peng Ding , Fabrizia Mealli

An important subclass of hybrid Bayesian networks are those that represent Conditional Linear Gaussian (CLG) distributions --- a distribution with a multivariate Gaussian component for each instantiation of the discrete variables. In this…

Artificial Intelligence · Computer Science 2013-01-14 Uri Lerner , Ron Parr

Approximate Bayesian computation (ABC) is a simulation-based likelihood-free method applicable to both model selection and parameter estimation. ABC parameter estimation requires the ability to forward simulate datasets from a candidate…

Methodology · Statistics 2020-11-10 Louis Raynal , Sixing Chen , Antonietta Mira , Jukka-Pekka Onnela

Wireless traffic attributable to machine learning (ML) inference workloads is increasing with the proliferation of applications and smart wireless devices leveraging ML inference. Owing to limited compute capabilities at these "edge"…

Networking and Internet Architecture · Computer Science 2019-06-05 Sarabjot Singh

We present a new method to propagate lower bounds on conditional probability distributions in conventional Bayesian networks. Our method guarantees to provide outer approximations of the exact lower bounds. A key advantage is that we can…

Artificial Intelligence · Computer Science 2012-05-14 Daniel Andrade , Bernhard Sick

The increasing reliance on human preference feedback to judge AI-generated pseudo labels has created a pressing need for principled, budget-conscious data acquisition strategies. We address the crucial question of how to optimally allocate…

Machine Learning · Statistics 2026-02-13 Zihan Dong , Xiaotian Hou , Ruijia Wu , Linjun Zhang

We propose an interpretable Capsule Network, iCaps, for image classification. A capsule is a group of neurons nested inside each layer, and the one in the last layer is called a class capsule, which is a vector whose norm indicates a…

Computer Vision and Pattern Recognition · Computer Science 2020-08-21 Dahuin Jung , Jonghyun Lee , Jihun Yi , Sungroh Yoon

Unsupervised models can provide supplementary soft constraints to help classify new target data under the assumption that similar objects in the target set are more likely to share the same class label. Such models can also help detect…

Machine Learning · Computer Science 2015-03-13 Ayan Acharya , Eduardo R. Hruschka , Joydeep Ghosh , Badrul Sarwar , Jean-David Ruvini

We offer a graphical interpretation of unfairness in a dataset as the presence of an unfair causal path in the causal Bayesian network representing the data-generation mechanism. We use this viewpoint to revisit the recent debate…

Machine Learning · Statistics 2019-07-16 Silvia Chiappa , William S. Isaac

Argumentative explainable AI has been advocated by several in recent years, with an increasing interest on explaining the reasoning outcomes of Argumentation Frameworks (AFs). While there is a considerable body of research on qualitatively…

Artificial Intelligence · Computer Science 2023-08-08 Xiang Yin , Nico Potyka , Francesca Toni

Network interference occurs when treatments assigned to some units affect the outcomes of others. Traditional approaches often assume that the observed network correctly specifies the interference structure. However, in practice,…

Methodology · Statistics 2026-02-04 Bar Weinstein , Daniel Nevo

Recent advances in graph convolutional networks have significantly improved the performance of chemical predictions, raising a new research question: "how do we explain the predictions of graph convolutional networks?" A possible approach…

Machine Learning · Computer Science 2018-07-06 Hirotaka Akita , Kosuke Nakago , Tomoki Komatsu , Yohei Sugawara , Shin-ichi Maeda , Yukino Baba , Hisashi Kashima

Causal models are crucial for understanding complex systems and identifying causal relationships among variables. Even though causal models are extremely popular, conditional probability calculation of formulas involving interventions pose…

Artificial Intelligence · Computer Science 2024-05-24 Sainyam Galhotra , Joseph Y. Halpern