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Bipartite experiments are a recent object of study in causal inference, whereby treatment is applied to one set of units and outcomes of interest are measured on a different set of units. These experiments are particularly useful in…

A fundamental challenge in the empirical sciences involves uncovering causal structure through observation and experimentation. Causal discovery entails linking the conditional independence (CI) invariances in observational data to their…

Machine Learning · Statistics 2025-11-04 Zihan Zhou , Muhammad Qasim Elahi , Murat Kocaoglu

The research presented in this thesis was motivated by the need to improve introductory physics courses. Introductory physics courses are generally the first courses in which students learn to create models to solve complex problems.…

Physics Education · Physics 2011-12-26 Marcos D. Caballero

Sampling distribution, a foundational concept in statistics, is difficult to understand, since we usually have only one realization of the estimator of interest. In this work, we present an innovative method for helping university students…

Other Statistics · Statistics 2021-07-26 Mariela Sued , Marina Valdora

We consider a card guessing game with complete feedback. An ordered deck of $n$ cards labeled $1$ up to $n$ is shelf-shuffled exactly one time. One after the other a single card is drawn from the shuffled deck. The guesser makes has guess…

Combinatorics · Mathematics 2026-02-24 Markus Kuba

The emerging field of Diverse Intelligence seeks to identify, formalize, and understand commonalities in behavioral competencies across a wide range of implementations. Especially interesting are simple systems that provide unexpected…

Neural and Evolutionary Computing · Computer Science 2024-01-12 Taining Zhang , Adam Goldstein , Michael Levin

State-of-the-art results in typical classification tasks are mostly achieved by unexplainable machine learning methods, like deep neural networks, for instance. Contrarily, in this paper, we investigate the application of rule learning…

Machine Learning · Computer Science 2024-03-11 Albert Nössig , Tobias Hell , Georg Moser

Graph representation learning, a critical step in graph-centric tasks, has seen significant advancements. Earlier techniques often operate in an end-to-end setting, which heavily rely on the availability of ample labeled data. This…

Machine Learning · Computer Science 2024-09-23 Xingtong Yu , Yuan Fang , Zemin Liu , Yuxia Wu , Zhihao Wen , Jianyuan Bo , Xinming Zhang , Steven C. H. Hoi

One of the common obstacles for learning causal models from data is that high-order conditional independence (CI) relationships between random variables are difficult to estimate. Since CI tests with conditioning sets of low order can be…

Machine Learning · Computer Science 2020-10-07 Marcel Wienöbst , Maciej Liśkiewicz

An appropriate diagram is a required element of a solution building process in physics problem solving and it can transform a given problem into a representation that is easier to exploit for solving the problem. A major focus while helping…

Physics Education · Physics 2020-07-02 Alexandru Maries , Chandralekha Singh

Faced with data-driven policies, individuals will manipulate their features to obtain favorable decisions. While earlier works cast these manipulations as undesirable gaming, recent works have adopted a more nuanced causal framing in which…

Machine Learning · Computer Science 2023-02-22 Tom Yan , Shantanu Gupta , Zachary Lipton

We present a basis for studying questions of cause and effect in statistics which subsumes and reconciles the models proposed by Pearl, Robins, Rubin and others, and which, as far as mathematical notions and notation are concerned, is…

Statistics Theory · Mathematics 2023-04-18 José A. Ferreira

We study the problem of causal effect identification from observational distribution given the causal graph and some context-specific independence (CSI) relations. It was recently shown that this problem is NP-hard, and while a sound…

Machine Learning · Computer Science 2022-02-18 Ehsan Mokhtarian , Fateme Jamshidi , Jalal Etesami , Negar Kiyavash

In contrast with standard classification tasks, strategic classification involves agents strategically modifying their features in an effort to receive favorable predictions. For instance, given a classifier determining loan approval based…

Machine Learning · Computer Science 2024-03-01 Lee Cohen , Yishay Mansour , Shay Moran , Han Shao

Consider the following Stochastic Score Classification Problem. A doctor is assessing a patient's risk of developing a certain disease, and can perform $n$ tests on the patient. Each test has a binary outcome, positive or negative. A…

Data Structures and Algorithms · Computer Science 2018-06-29 Dimitrios Gkenosis , Nathaniel Grammel , Lisa Hellerstein , Devorah Kletenik

The statistical physics approach to the number partioning problem, a classical NP-hard problem, is both simple and rewarding. Very basic notions and methods from statistical mechanics are enough to obtain analytical results for the phase…

Condensed Matter · Physics 2007-05-23 Stephan Mertens

This paper introduces a natural generalization of the classical edge coloring problem in graphs that provides a useful abstraction for two well-known problems in multicast switching. We show that the problem is NP-hard and evaluate the…

Data Structures and Algorithms · Computer Science 2015-12-31 Jonathan Turner

The \emph{generalized sorting problem} is a restricted version of standard comparison sorting where we wish to sort $n$ elements but only a subset of pairs are allowed to be compared. Formally, there is some known graph $G = (V, E)$ on the…

Data Structures and Algorithms · Computer Science 2021-11-16 William Kuszmaul , Shyam Narayanan

The goal of the group testing problem is to identify a set of defective items within a larger set of items, using suitably-designed tests whose outcomes indicate whether any defective item is present. In this paper, we study how the number…

Information Theory · Computer Science 2023-01-18 Ivan Lau , Jonathan Scarlett , Yang Sun

Causal approaches to post-hoc explainability for black-box prediction models (e.g., deep neural networks trained on image pixel data) have become increasingly popular. However, existing approaches have two important shortcomings: (i) the…

Machine Learning · Computer Science 2025-08-12 Numair Sani , Daniel Malinsky , Ilya Shpitser