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Sequential decision tasks with incomplete information are characterized by the exploration problem; namely the trade-off between further exploration for learning more about the environment and immediate exploitation of the accrued…

Artificial Intelligence · Computer Science 2013-02-21 Grigoris I. Karakoulas

Correlation clustering is a widely studied framework for clustering based on pairwise similarity and dissimilarity scores, but its best approximation algorithms rely on impractical linear programming relaxations. We present faster…

Data Structures and Algorithms · Computer Science 2022-06-27 Nate Veldt

Causal graphs are commonly used to understand and model complex systems. Researchers often construct these graphs from different perspectives, leading to significant variations for the same problem. Comparing causal graphs is, therefore,…

Machine Learning · Computer Science 2025-03-17 Ning-Yuan Georgia Liu , Flower Yang , Mohammad S. Jalali

Causal understanding is important in many disciplines of science and engineering, where we seek to understand how different factors in the system causally affect an experiment or situation and pave a pathway towards creating effective or…

Robotics · Computer Science 2025-05-14 Miguel Arana-Catania , Weisi Guo

Classical machine learning techniques often struggle with overfitting and unreliable predictions when exposed to novel conditions. Introducing causality into the modelling process offers a promising way to mitigate these challenges by…

Computational Engineering, Finance, and Science · Computer Science 2025-05-28 David Zapata Gonzalez , Marcel Meyer , Oliver Mueller

We introduce fast algorithms for correlation clustering with respect to the Min Max objective that provide constant factor approximations on complete graphs. Our algorithms are the first purely combinatorial approximation algorithms for…

Data Structures and Algorithms · Computer Science 2023-01-31 Sami Davies , Benjamin Moseley , Heather Newman

In this work we present an extension of the popular selected configuration interaction (SCI) algorithms to the Transcorrelated (TC) framework. Although we used in this work the recently introduced one-parameter correlation factor [E. Giner,…

Strongly Correlated Electrons · Physics 2022-10-19 Abdallah Ammar , Anthony Scemama , Emmanuel Giner

Challenge Theory (CT), a new approach to decision under risk departs significantly from expected utility, and is based on firmly psychological, rather than economic, assumptions. The paper demonstrates that a purely cognitive-psychological…

General Economics · Economics 2019-10-11 Samuel Shye , Ido Haber

Feature selection is a crucial preprocessing step in data analytics and machine learning. Classical feature selection algorithms select features based on the correlations between predictive features and the class variable and do not attempt…

Machine Learning · Computer Science 2019-11-19 Kui Yu , Xianjie Guo , Lin Liu , Jiuyong Li , Hao Wang , Zhaolong Ling , Xindong Wu

Factor modeling is an essential tool for exploring intrinsic dependence structures among high-dimensional random variables. Much progress has been made for estimating the covariance matrix from a high-dimensional factor model. However, the…

Statistics Theory · Mathematics 2016-10-26 Quefeng Li , Guang Cheng , Jianqing Fan , Yuyan Wang

We develop our previous works concerning the identification of the collection of significant factors determining some, in general, non-binary random response variable. Such identification is important, e.g., in biological and medical…

Statistics Theory · Mathematics 2014-06-05 Alexander V. Bulinski , Alexander S. Rakitko

The convenient access to copious multi-faceted data has encouraged machine learning researchers to reconsider correlation-based learning and embrace the opportunity of causality-based learning, i.e., causal machine learning (causal…

Machine Learning · Computer Science 2022-02-08 Lu Cheng , Ruocheng Guo , Raha Moraffah , Paras Sheth , K. Selcuk Candan , Huan Liu

Background: Symbolic models, particularly decision trees, are widely used in software engineering for explainable analytics in defect prediction, configuration tuning, and software quality assessment. Most of these models rely on…

Software Engineering · Computer Science 2026-02-19 Amirali Rayegan , Tim Menzies

Causal inference necessarily relies upon untestable assumptions; hence, it is crucial to assess the robustness of obtained results to violations of identification assumptions. However, such sensitivity analysis is only occasionally…

Methodology · Statistics 2025-05-19 Tobias Freidling , Qingyuan Zhao

Correlation clustering is a ubiquitous paradigm in unsupervised machine learning where addressing unfairness is a major challenge. Motivated by this, we study Fair Correlation Clustering where the data points may belong to different…

Machine Learning · Computer Science 2022-06-13 Sara Ahmadian , Maryam Negahbani

Causal inference is vital for informed decision-making across fields such as biomedical research and social sciences. Randomized controlled trials (RCTs) are considered the gold standard for internal validity of inferences, whereas…

Methodology · Statistics 2025-12-02 Ruoqi Yu , Bikram Karmakar , Jessica Vandeleest , Eleanor Bimla Schwarz

Statistical inferences for sample correlation matrices are important in high dimensional data analysis. Motivated by this, this paper establishes a new central limit theorem (CLT) for a linear spectral statistic (LSS) of high dimensional…

Statistics Theory · Mathematics 2014-11-04 Jiti Gao , Xiao Han , Guangming Pan , Yanrong Yang

In domains with high knowledge distribution a natural objective is to create principle foundations for collaborative interactive learning environments. We present a first mathematical characterization of a collaborative learning group, a…

Artificial Intelligence · Computer Science 2020-08-26 Tom Hanika , Jens Zumbrägel

We consider a team of reinforcement learning agents that concurrently operate in a common environment, and we develop an approach to efficient coordinated exploration that is suitable for problems of practical scale. Our approach builds on…

Machine Learning · Computer Science 2018-12-18 Maria Dimakopoulou , Ian Osband , Benjamin Van Roy

The higher-order correlation clustering problem is an expressive model, and recently, local search heuristics have been proposed for several applications. Certifying optimality, however, is NP-hard and practically hampered already by the…

Discrete Mathematics · Computer Science 2023-04-03 David Stein , Silvia Di Gregorio , Bjoern Andres