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An instance of the graph-constrained max-cut (GCMC) problem consists of (i) an undirected graph G and (ii) edge-weights on a complete undirected graph on the same vertex set. The objective is to find a subset of vertices satisfying some…

Data Structures and Algorithms · Computer Science 2018-10-18 Jon Lee , Viswanath Nagarajan , Xiangkun Shen

Constraint-based causal discovery methods leverage conditional independence tests to infer causal relationships in a wide variety of applications. Just as the majority of machine learning methods, existing work focuses on studying…

Machine Learning · Statistics 2024-05-27 Siyuan Guo , Viktor Tóth , Bernhard Schölkopf , Ferenc Huszár

A new method is proposed for exploiting causal independencies in exact Bayesian network inference. A Bayesian network can be viewed as representing a factorization of a joint probability into the multiplication of a set of conditional…

Artificial Intelligence · Computer Science 2014-11-17 N. L. Zhang , D. Poole

Efficient exact algorithms for Discrete Optimization (DO) rely heavily on strong primal and dual bounds. Relaxed Decision Diagrams (DDs) provide a versatile mechanism for deriving such dual bounds by compactly over-approximating the…

Artificial Intelligence · Computer Science 2025-12-18 Mohsen Nafar , Michael Römer , Lin Xie

Many combinatorial optimization problems can be phrased in the language of constraint satisfaction problems. We introduce a graph neural network architecture for solving such optimization problems. The architecture is generic; it works for…

Artificial Intelligence · Computer Science 2020-02-12 Jan Toenshoff , Martin Ritzert , Hinrikus Wolf , Martin Grohe

Causal structure discovery from observational data is fundamental to the causal understanding of autonomous systems such as medical decision support systems, advertising campaigns and self-driving cars. This is essential to solve well-known…

In order to achieve unbiased and efficient estimators of causal effects from observational data, covariate selection for confounding adjustment becomes an important task in causal inference. Despite recent advancements in graphical…

Methodology · Statistics 2023-05-29 Hongyi Chen , Maurits Kaptein

Causal queries are often only partially identifiable from observational data, and experiments that could tighten the resulting bounds are typically costly. We study the problem of selecting, prior to observing experimental outcomes, a…

Artificial Intelligence · Computer Science 2026-05-11 Tobias Maringgele , Jalal Etesami

Min-Hash is a popular technique for efficiently estimating the Jaccard similarity of binary sets. Consistent Weighted Sampling (CWS) generalizes the Min-Hash scheme to sketch weighted sets and has drawn increasing interest from the…

Data Structures and Algorithms · Computer Science 2017-06-06 Wei Wu , Bin Li , Ling Chen , Chengqi Zhang , Philip S. Yu

CIMTx provides efficient and unified functions to implement modern methods for causal inferences with multiple treatments using observational data with a focus on binary outcomes. The methods include regression adjustment, inverse…

Methodology · Statistics 2022-09-15 Liangyuan Hu , Jiayi Ji

The widespread applicability of analytics in cyber-physical systems has motivated research into causal inference methods. Predictive estimators are not sufficient when analytics are used for decision making; rather, the flow of causal…

Systems and Control · Computer Science 2017-03-22 Roy Dong , Eric Mazumdar , S. Shankar Sastry

In the Maximum Independent Set problem we are asked to find a set of pairwise nonadjacent vertices in a given graph with the maximum possible cardinality. In general graphs, this classical problem is known to be NP-hard and hard to…

Data Structures and Algorithms · Computer Science 2023-11-15 Maria Chudnovsky , Marcin Pilipczuk , Michał Pilipczuk , Stéphan Thomassé

{\sc Vertex $(s, t)$-Cut} and {\sc Vertex Multiway Cut} are two fundamental graph separation problems in algorithmic graph theory. We study matroidal generalizations of these problems, where in addition to the usual input, we are given a…

Discrete Mathematics · Computer Science 2024-06-28 Aritra Banik , Fedor V. Fomin , Petr A. Golovach , Tanmay Inamdar , Satyabrata Jana , Saket Saurabh

Given a graph $G$, the maximal induced subgraphs problem asks to enumerate all maximal induced subgraphs of $G$ that belong to a certain hereditary graph class. While its optimization version, known as the minimum vertex deletion problem in…

Data Structures and Algorithms · Computer Science 2020-04-22 Yixin Cao

The Clique Interdiction Problem (CIP) aims to minimize the size of the largest clique in a given graph by removing a given number of vertices. The CIP models a special Stackelberg game and has important applications in fields such as…

Data Structures and Algorithms · Computer Science 2025-05-21 Chenghao Zhu , Yi Zhou , Haoyu Jiang

Causal inference requires evaluating models on balanced distributions between treatment and control groups, while training data often exhibits imbalance due to historical decision-making policies. Most conventional statistical methods…

Machine Learning · Statistics 2025-11-21 Akira Tanimoto

Given a set of wireless links, a fundamental problem is to find the largest subset that can transmit simultaneously, within the SINR model of interference. Significant progress on this problem has been made in recent years. In this note, we…

Data Structures and Algorithms · Computer Science 2012-03-15 Magnus M. Halldorsson , Pradipta Mitra

The success of machine learning solutions for reasoning about discrete structures has brought attention to its adoption within combinatorial optimization algorithms. Such approaches generally rely on supervised learning by leveraging…

Machine Learning · Computer Science 2022-03-17 Ismail R. Alkhouri , George K. Atia , Alvaro Velasquez

We prove that a number of computational problems that ask for the largest sparse induced subgraph satisfying some property definable in CMSO2 logic, most notably Feedback Vertex Set, are polynomial-time solvable in the class of $P_6$-free…

Data Structures and Algorithms · Computer Science 2023-07-17 Maria Chudnovsky , Rose McCarty , Marcin Pilipczuk , Michał Pilipczuk , Paweł Rzążewski

Distributionally robust optimization tackles out-of-sample issues like overfitting and distribution shifts by adopting an adversarial approach over a range of possible data distributions, known as the ambiguity set. To balance conservatism…

Machine Learning · Computer Science 2025-10-02 Ahmad-Reza Ehyaei , Golnoosh Farnadi , Samira Samadi