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We propose a new scalable algorithm for holistic linear regression building on Bertsimas & King (2016). Specifically, we develop new theory to model significance and multicollinearity as lazy constraints rather than checking the conditions…

Machine Learning · Statistics 2020-03-05 Dimitris Bertsimas , Michael Lingzhi Li

Mechanistic mathematical models of within-host viral dynamics are tools for understanding how a virus' biology and its interaction with the immune system shape the infectivity of a host. The biology of the process is encoded by the…

Applications · Statistics 2025-12-11 Dylan J. Morris , Lauren Kennedy , Andrew J. Black

A very important topic in systems biology is developing statistical methods that automatically find causal relations in gene regulatory networks with no prior knowledge of causal connectivity. Many methods have been developed for time…

Machine Learning · Statistics 2012-08-22 Shohei Shimizu

Causal discovery problems use a set of observations to deduce causality between variables in the real world, typically to answer questions about biological or physical systems. These observations are often recorded at regular time…

Signal Processing · Electrical Eng. & Systems 2026-02-24 Kurt Butler , Damian Machlanski , Panagiotis Dimitrakopoulos , Sotirios A. Tsaftaris

The increasing need for causal analysis in large-scale industrial datasets necessitates the development of efficient and scalable causal algorithms for real-world applications. This paper addresses the challenge of scaling causal algorithms…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-23 Vishal Verma , Vinod Reddy , Jaiprakash Ravi

Despite surpassing human performance across mathematics, coding, and other knowledge-intensive tasks, large language models (LLMs) continue to struggle with causal reasoning. A core obstacle is the target data itself: causal systems are…

Artificial Intelligence · Computer Science 2026-05-12 Nicolás Astorga , Anita Kriz , Mihaela van der Schaar

As the significance of understanding the cause-and-effect relationships among variables increases in the development of modern systems and algorithms, learning causality from observational data has become a preferred and efficient approach…

Machine Learning · Computer Science 2024-11-28 Xiaoxuan Li , Yao Liu , Ruoyu Wang , Lina Yao

Agent-Based Model (ABM) validation is crucial as it helps ensuring the reliability of simulations, and causal discovery has become a powerful tool in this context. However, current causal discovery methods often face accuracy and robustness…

Machine Learning · Computer Science 2026-02-24 Gene Yu , Ce Guo , Wayne Luk

In a classical problem in scheduling, one has $n$ unit size jobs with a precedence order and the goal is to find a schedule of those jobs on $m$ identical machines as to minimize the makespan. It is one of the remaining four open problems…

Data Structures and Algorithms · Computer Science 2018-02-19 Elaine Levey , Thomas Rothvoss

A recently introduced general-purpose heuristic for finding high-quality solutions for many hard optimization problems is reviewed. The method is inspired by recent progress in understanding far-from-equilibrium phenomena in terms of {\em…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Stefan Boettcher , Allon G. Percus

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

Causal discovery from observational data is a fundamental task in artificial intelligence, with far-reaching implications for decision-making, predictions, and interventions. Despite significant advances, existing methods can be broadly…

Machine Learning · Computer Science 2026-02-06 Jincheng Zhou , Mengbo Wang , Anqi He , Yumeng Zhou , Hessam Olya , Murat Kocaoglu , Bruno Ribeiro

Modern statistical applications involving large data sets have focused attention on statistical methodologies which are both efficient computationally and able to deal with the screening of large numbers of different candidate models. Here…

Methodology · Statistics 2014-02-26 David J. Nott , Minh-Ngoc Tran , Chenlei Leng

Discovering the underlying dynamics of complex systems from data is an important practical topic. Constrained optimization algorithms are widely utilized and lead to many successes. Yet, such purely data-driven methods may bring about…

Dynamical Systems · Mathematics 2023-05-17 Nan Chen , Yinling Zhang

We apply methods from randomized numerical linear algebra (RandNLA) to develop improved algorithms for the analysis of large-scale time series data. We first develop a new fast algorithm to estimate the leverage scores of an autoregressive…

Methodology · Statistics 2021-11-02 Ali Eshragh , Fred Roosta , Asef Nazari , Michael W. Mahoney

Causality is essential for understanding complex systems, such as the economy, the brain, and the climate. Constructing causal graphs often relies on either data-driven or expert-driven approaches, both fraught with challenges. The former…

Artificial Intelligence · Computer Science 2024-06-12 Kai-Hendrik Cohrs , Gherardo Varando , Emiliano Diaz , Vasileios Sitokonstantinou , Gustau Camps-Valls

We consider to learn a causal ordering of variables in a linear non-Gaussian acyclic model called LiNGAM. Several existing methods have been shown to consistently estimate a causal ordering assuming that all the model assumptions are…

Machine Learning · Statistics 2012-04-10 Tatsuya Tashiro , Shohei Shimizu , Aapo Hyvarinen , Takashi Washio

This paper focuses on causal structure estimation from time series data in which measurements are obtained at a coarser timescale than the causal timescale of the underlying system. Previous work has shown that such subsampling can lead to…

Artificial Intelligence · Computer Science 2016-07-14 Antti Hyttinen , Sergey Plis , Matti Järvisalo , Frederick Eberhardt , David Danks

Numerous approaches have been proposed to discover causal dependencies in machine learning and data mining; among them, the state-of-the-art VAR-LiNGAM (short for Vector Auto-Regressive Linear Non-Gaussian Acyclic Model) is a desirable…

Machine Learning · Computer Science 2022-11-28 Aref Einizade , Sepideh Hajipour Sardouie

Unraveling the causal relationships among the execution of process activities is a crucial element in predicting the consequences of process interventions and making informed decisions regarding process improvements. Process discovery…

Artificial Intelligence · Computer Science 2025-01-15 Fabiana Fournier , Lior Limonad , Inna Skarbovsky , Yuval David