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The problem of sequentially maximizing the expectation of a function seeks to maximize the expected value of a function of interest without having direct control on its features. Instead, the distribution of such features depends on a given…

Machine Learning · Statistics 2022-10-26 Diego Martinez-Taboada , Dino Sejdinovic

The rapidly increasing complexity of (mainly wireless) ad-hoc networks stresses the need of reliable distributed estimation of several variables of interest. The widely used centralized approach, in which the network nodes communicate their…

Information Theory · Computer Science 2015-03-20 K. Dedecius , V. Sečkárová

We give a category-theoretic treatment of causal models that formalizes the syntax for causal reasoning over a directed acyclic graph (DAG) by associating a free Markov category with the DAG in a canonical way. This framework enables us to…

Artificial Intelligence · Computer Science 2022-04-12 Yimu Yin , Jiji Zhang

Inferring the potential consequences of an unobserved event is a fundamental scientific question. To this end, Pearl's celebrated do-calculus provides a set of inference rules to derive an interventional probability from an observational…

Discrete Mathematics · Computer Science 2021-08-10 Benjamin Heymann , Michel de Lara , Jean-Philippe Chancelier

This paper addresses the problem of optimizing the allocation of labeling resources for semi-supervised belief representation learning in social networks. The objective is to strategically identify valuable messages on social media graphs…

Machine Learning · Computer Science 2024-10-28 Dachun Sun , Ruijie Wang , Jinning Li , Ruipeng Han , Xinyi Liu , You Lyu , Tarek Abdelzaher

We introduce a novel framework to identify perception-action loops (PALOs) directly from data based on the principles of computational mechanics. Our approach is based on the notion of causal blanket, which captures sensory and active…

Adaptation and Self-Organizing Systems · Physics 2020-09-30 Fernando E. Rosas , Pedro A. M. Mediano , Martin Biehl , Shamil Chandaria , Daniel Polani

Bayesian networks provide a powerful tool for reasoning about probabilistic causation, used in many areas of science. They are, however, intrinsically classical. In particular, Bayesian networks naturally yield the Bell inequalities.…

Quantum Physics · Physics 2014-12-03 Joe Henson , Raymond Lal , Matthew F. Pusey

Decentralized data sources are prevalent in real-world applications, posing a formidable challenge for causal inference. These sources cannot be consolidated into a single entity owing to privacy constraints. The presence of dissimilar data…

Machine Learning · Computer Science 2024-05-31 Thanh Vinh Vo , Young lee , Tze-Yun Leong

In most real-world systems units are interconnected and can be represented as networks consisting of nodes and edges. For instance, in social systems individuals can have social ties, family or financial relationships. In settings where…

Methodology · Statistics 2018-07-31 Laura Forastiere , Fabrizia Mealli , Albert Wu , Edoardo Airoldi

It is common practice to collect observations of feature and response pairs from different environments. A natural question is how to identify features that have consistent prediction power across environments. The invariant causal…

Information Theory · Computer Science 2022-07-01 Austin Goddard , Yu Xiang , Ilya Soloveychik

A decision-maker must consider cofounding bias when attempting to apply machine learning prediction, and, while feature selection is widely recognized as important process in data-analysis, it could cause cofounding bias. A causal Bayesian…

Machine Learning · Statistics 2020-03-02 Akihiro Yabe

There is evidence that the numbers in probabilistic inference don't really matter. This paper considers the idea that we can make a probabilistic model simpler by making fewer distinctions. Unfortunately, the level of a Bayesian network…

Artificial Intelligence · Computer Science 2013-02-01 David L. Poole

Graph Convolutional Network (GCN) is an emerging technique for information retrieval (IR) applications. While GCN assumes the homophily property of a graph, real-world graphs are never perfect: the local structure of a node may contain…

Machine Learning · Computer Science 2021-06-08 Fuli Feng , Weiran Huang , Xiangnan He , Xin Xin , Qifan Wang , Tat-Seng Chua

We describe a simple method for making inference on a functional of a multivariate distribution. The method is based on a copula representation of the multivariate distribution and it is based on the properties of an Approximate Bayesian…

Methodology · Statistics 2017-07-18 Clara Grazian , Brunero Liseo

We investigate the data distribution valuation problem, which aims to quantify the values of data distributions from their samples. This is a recently proposed problem that is related to but different from classical data valuation and can…

Machine Learning · Computer Science 2026-04-08 Cuong N. Nguyen , Cuong V. Nguyen

Low-dimensional probability models for local distribution functions in a Bayesian network include decision trees, decision graphs, and causal independence models. We describe a new probability model for discrete Bayesian networks, which we…

Machine Learning · Statistics 2019-10-23 David Heckerman , Chris Meek

Various AI models are increasingly being considered as part of clinical decision-support tools. However, the trustworthiness of such models is rarely considered. Clinicians are more likely to use a model if they can understand and trust its…

Artificial Intelligence · Computer Science 2020-03-09 Evangelia Kyrimi , Somayyeh Mossadegh , Nigel Tai , William Marsh

Latent variables may lead to spurious relationships that can be misinterpreted as causal relationships. In Bayesian Networks (BNs), this challenge is known as learning under causal insufficiency. Structure learning algorithms that assume…

Machine Learning · Computer Science 2020-08-19 Kiattikun Chobtham , Anthony C. Constantinou

Causal inference is central to scientific discovery, yet choosing appropriate methods remains challenging because of the complexity of both statistical methodology and real-world data. Inspired by the success of artificial intelligence in…

Artificial Intelligence · Computer Science 2026-04-07 Can Wang , Hongyu Zhao , Yiqun Chen

We propose a novel framework for matching estimators for causal effect from observational data that is based on minimizing the dual norm of estimation error when expressed as an operator. We show that many popular matching estimators can be…

Methodology · Statistics 2017-03-01 Nathan Kallus