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Interference is ubiquitous when conducting causal experiments over networks. Except for certain network structures, causal inference on the network in the presence of interference is difficult due to the entanglement between the treatment…

Methodology · Statistics 2023-12-08 Chencheng Cai , Xu Zhang , Edoardo M. Airoldi

The linear complementarity problem is a continuous optimization problem that generalizes convex quadratic programming, Nash equilibria of bimatrix games and several such problems. This paper presents a continuous optimization formulation…

Discrete Mathematics · Computer Science 2018-10-19 Parthe Pandit , Ankur A. Kulkarni

We introduce a novel evolutionary formulation of the problem of finding a maximum independent set of a graph. The new formulation is based on the relationship that exists between a graph's independence number and its acyclic orientations.…

Neural and Evolutionary Computing · Computer Science 2007-05-23 V. C. Barbosa , L. C. D. Campos

Reconfigurable intelligent surfaces (RIS) is a promising solution to build a programmable wireless environment via steering the incident signal in fully customizable ways with reconfigurable passive elements. In this paper, we consider a…

Signal Processing · Electrical Eng. & Systems 2019-12-30 Huayan Guo , Ying-Chang Liang , Jie Chen , Erik G. Larsson

We consider two optimization problems in planar graphs. In Maximum Weight Independent Set of Objects we are given a graph $G$ and a family $\mathcal{D}$ of objects, each being a connected subgraph of $G$ with a prescribed weight, and the…

Data Structures and Algorithms · Computer Science 2018-07-23 Michał Pilipczuk , Erik Jan van Leeuwen , Andreas Wiese

The problem of (approximately) counting the independent sets of a bipartite graph (#BIS) is the canonical approximate counting problem that is complete in the intermediate complexity class #RH\Pi_1. It is believed that #BIS does not have an…

Computational Complexity · Computer Science 2019-07-16 Radu Curticapean , Holger Dell , Fedor Fomin , Leslie Ann Goldberg , John Lapinskas

Given a set ${\cal R}=\{R_1,R_2,..., R_n\}$ of $n$ randomly positioned axis parallel rectangles in 2D, the problem of computing the minimum clique cover (MCC) and maximum independent set (MIS) for the intersection graph $G({\cal R})$ of the…

Computational Geometry · Computer Science 2012-12-05 Ritankar Mandal , Anirban Ghosh , Sasanka Roy , Subhas C. Nandy

We present an efficient deterministic hypothesis generation algorithm for robust fitting of multiple structures based on the maximum feasible subsystem (MaxFS) framework. Despite its advantage, a global optimization method such as MaxFS has…

Computer Vision and Pattern Recognition · Computer Science 2018-07-26 Kwang Hee Lee , Sang Wook Lee

The notion of {\em recoverable value} was advocated in work of Feige, Immorlica, Mirrokni and Nazerzadeh [Approx 2009] as a measure of quality for approximation algorithms. There this concept was applied to facility location problems. In…

Data Structures and Algorithms · Computer Science 2011-03-30 Uriel Feige , Daniel Reichman

A method is presented that allows to reduce a problem described by differential equations with initial and boundary conditions to the problem described only by differential equations. The advantage of using the modified problem for…

The goal of this paper is to obtain quantitative results on the number and on the size of maximal independent sets and maximal matchings in several block-stable graph classes that satisfy a proper sub-criticality condition. In particular we…

Combinatorics · Mathematics 2020-12-29 Michael Drmota , Lander Ramos , Clément Requilé , Juanjo Rué

Task incremental learning aims to enable a system to maintain its performance on previously learned tasks while learning new tasks, solving the problem of catastrophic forgetting. One promising approach is to build an individual network or…

Computer Vision and Pattern Recognition · Computer Science 2022-11-28 Jian Jiang , Oya Celiktutan

In the Inverse Matroid problem, we are given a matroid, a fixed basis $B$, and an initial weight function, and the goal is to minimally modify the weights -- measured by some function -- so that $B$ becomes a maximum-weight basis. The…

Data Structures and Algorithms · Computer Science 2025-07-03 Kristóf Bérczi , Lydia Mirabel Mendoza-Cadena , José Soto

Combinatorial optimization problems are crucial in industry. However, many COPs are NP-hard, causing the search space to grow exponentially with problem size and rendering large-scale instances computationally intractable. Conventional…

Emerging Technologies · Computer Science 2026-02-27 Eiji Kawase , Shuta Kikuchi , Hideaki Tamai , Shu Tanaka

In this work, we consider causal inference in various high-dimensional treatment settings, including for single multi-valued treatments and vector treatments with binary or continuous components, when the number of treatments can be…

Statistics Theory · Mathematics 2026-02-26 Patrick Kramer , Edward H. Kennedy , Isaac M. Opper

For a tree decomposition $\mathcal{T}$ of a graph $G$, by $\mu(\mathcal{T})$ we denote the size of a largest induced matching in $G$ all of whose edges intersect one bag of $\mathcal{T}$. Induced matching treewidth of a graph $G$ is the…

Data Structures and Algorithms · Computer Science 2024-02-27 Paloma T. Lima , Martin Milanič , Peter Muršič , Karolina Okrasa , Paweł Rzążewski , Kenny Štorgel

Weighted model integration (WMI) is a very appealing framework for probabilistic inference: it allows to express the complex dependencies of real-world hybrid scenarios where variables are heterogeneous in nature (both continuous and…

Artificial Intelligence · Computer Science 2019-10-01 Zhe Zeng , Fanqi Yan , Paolo Morettin , Antonio Vergari , Guy Van den Broeck

Influence Maximization (IM) is a crucial problem in data science. The goal is to find a fixed-size set of highly-influential seed vertices on a network to maximize the influence spread along the edges. While IM is NP-hard on commonly-used…

Data Structures and Algorithms · Computer Science 2024-02-06 Letong Wang , Xiangyun Ding , Yan Gu , Yihan Sun

Weighted Max-SAT is the optimization version of SAT and many important problems can be naturally encoded as such. Solving weighted Max-SAT is an important problem from both a theoretical and a practical point of view. In recent years, there…

Artificial Intelligence · Computer Science 2007-05-23 Javier Larrosa , Federico Heras , Simon de Givry

Inferring causation from time series data is of scientific interest in different disciplines, particularly in neural connectomics. While different approaches exist in the literature with parametric modeling assumptions, we focus on a…

Methodology · Statistics 2023-12-18 Rahul Biswas , SuryaNarayana Sripada , Somabha Mukherjee