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We introduce a lazy approach to the explanation-based approximation of probabilistic logic programs. It uses only the most significant part of the program when searching for explanations. The result is a fast and anytime approximate…

Artificial Intelligence · Computer Science 2015-07-13 Joris Renkens , Angelika Kimmig , Luc De Raedt

A representation of heterogeneous stochastic populations that are composed of sub-populations with different levels of distinguishability is introduced together with an analysis of its properties. It is demonstrated that any instance of…

Probability · Mathematics 2019-12-02 Jeremie Houssineau , Daniel E. Clark

Across neuroscience, artificial intelligence, and related fields, dominant models of intelligence typically privilege convergence: uncertainty is reduced, competing explanations are eliminated, and behaviour is governed by the optimisation…

Neurons and Cognition · Quantitative Biology 2026-01-21 Alexander D Shaw

This paper studies decision-making and statistical inference for two-sided matching markets via matrix completion. In contrast to the independent sampling assumed in classical matrix completion literature, the observed entries, which arise…

Methodology · Statistics 2025-10-31 Congyuan Duan , Wanteng Ma , Dong Xia , Kan Xu

Algorithmic predictions are emerging as a promising solution concept for efficiently allocating societal resources. Fueling their use is an underlying assumption that such systems are necessary to identify individuals for interventions. We…

Machine Learning · Computer Science 2024-06-21 Ali Shirali , Rediet Abebe , Moritz Hardt

Statistical inference of directed relations given some unspecified interventions (i.e., the intervention targets are unknown) is challenging. In this article, we test hypothesized directed relations with unspecified interventions. First, we…

Methodology · Statistics 2023-03-02 Chunlin Li , Xiaotong Shen , Wei Pan

To infer a function value on a specific point $x$, it is essential to assign higher weights to the points closer to $x$, which is called local polynomial / multivariable regression. In many practical cases, a limited sample size may ruin…

Machine Learning · Statistics 2024-09-30 Yanwu Gu , Dong Xia

Recently, scaling test-time compute on Large Language Models (LLM) has garnered wide attention. However, there has been limited investigation of how various reasoning prompting strategies perform as scaling. In this paper, we focus on a…

Artificial Intelligence · Computer Science 2025-08-18 Yexiang Liu , Zekun Li , Zhi Fang , Nan Xu , Ran He , Tieniu Tan

Consider a predictor who ranks eventualities on the basis of past cases: for instance a search engine ranking webpages given past searches. Resampling past cases leads to different rankings and the extraction of deeper information. Yet a…

Theoretical Economics · Economics 2021-03-04 Patrick H. O'Callaghan

Using the concept of principal stratification from the causal inference literature, we introduce a new notion of fairness, called principal fairness, for human and algorithmic decision-making. The key idea is that one should not…

Computers and Society · Computer Science 2022-03-28 Kosuke Imai , Zhichao Jiang

The hierarchical and recursive expressive capability of rooted trees is applicable to represent statistical models in various areas, such as data compression, image processing, and machine learning. On the other hand, such hierarchical…

Machine Learning · Computer Science 2022-01-25 Yuta Nakahara , Shota Saito , Akira Kamatsuka , Toshiyasu Matsushima

Automated reasoning about uncertain knowledge has many applications. One difficulty when developing such systems is the lack of a completely satisfactory integration of logic and probability. We address this problem directly. Expressive…

Logic in Computer Science · Computer Science 2012-09-13 Marcus Hutter , John W. Lloyd , Kee Siong Ng , William T. B. Uther

Fairness in data-driven decision-making studies scenarios where individuals from certain population segments may be unfairly treated when being considered for loan or job applications, access to public resources, or other types of services.…

Databases · Computer Science 2022-10-19 Sina Shaham , Gabriel Ghinita , Cyrus Shahabi

Grounding has been argued to be a crucial component towards the development of more complete and truly semantically competent artificial intelligence systems. Literature has divided into two camps: While some argue that grounding allows for…

Computation and Language · Computer Science 2023-10-19 Timothee Mickus , Elaine Zosa , Denis Paperno

In this paper, we propose a modified version of ranked set sample which allows for the incorporation of more information in the inference procedure at almost no cost. This procedure is studied for the location-scale family using a…

Methodology · Statistics 2022-10-21 Mohd Alodat , Ayman Baklizi

Lifted (family-based) static analysis by abstract interpretation is capable of analyzing all variants of a program family simultaneously, in a single run without generating any of the variants explicitly. The elements of the underlying…

Programming Languages · Computer Science 2020-12-11 Aleksandar S. Dimovski , Sven Apel , Axel Legay

Human decision-makers often face choices about complex cases with many potentially relevant features, but limited bandwidth to inspect and integrate all available information. In such settings, we study algorithms that highlight a small…

Computer Science and Game Theory · Computer Science 2026-04-27 Yifan Guo , Jann Spiess

The overarching goal of Explainable AI is to develop systems that not only exhibit intelligent behaviours, but also are able to explain their rationale and reveal insights. In explainable machine learning, methods that produce a high level…

Artificial Intelligence · Computer Science 2020-05-06 Xiuyi Fan , Siyuan Liu , Thomas C. Henderson

Statistical matching methods are widely used in the social and health sciences to estimate causal effects using observational data. Often the objective is to find comparable groups with similar covariate distributions in a dataset, with the…

Applications · Statistics 2021-01-19 Felix Bestehorn , Maike Bestehorn , Christian Kirches

This paper considers the problem of inference after ranking. In our setting, we are interested in any population whose rank according to some random quantity, such as an estimated treatment effect, a measure of value-added, or benefit (net…

Econometrics · Economics 2026-01-06 Andreas Petrou-Zeniou , Azeem M. Shaikh