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Partitioning and grouping of similar objects plays a fundamental role in image segmentation and in clustering problems. In such problems a typical goal is to group together similar objects, or pixels in the case of image processing. At the…

Computer Vision and Pattern Recognition · Computer Science 2010-10-12 Dorit S. Hochbaum

Boolean-width is a recently introduced graph parameter. Many problems are fixed parameter tractable when parametrized by boolean-width, for instance "Minimum Weighted Dominating Set" (MWDS) problem can be solved in $O^*(2^{3k})$ time given…

Discrete Mathematics · Computer Science 2011-07-11 Rémy Belmonte , Martin Vatshelle

Many real-world decision problems require solving, again and again, combinatorial optimization instances drawn from a common distribution. A recent line of structured learning methods exploits this regularity by learning policies that pair…

Machine Learning · Statistics 2026-05-20 Pierre-Cyril Aubin-Frankowski , Yohann De Castro , Axel Parmentier , Alessandro Rudi

Data generalization is a powerful technique for sanitizing multi-attribute data for publication. In a multidimensional model, a subset of attributes called the quasi-identifiers (QI) are used to define the space and a generalization scheme…

Databases · Computer Science 2021-08-12 Bijit Hore , Ravi Jammalamadaka , Sharad Mehrotra , Amedeo D'Ascanio

Generalization problems in languages with binders involve computing the most common structure between expressions while respecting bound variable renaming and freshness constraints. These problems often lack a least general solution.…

Logic in Computer Science · Computer Science 2025-02-27 Daniele Nantes-Sobrinho , Manfred Schmidt-Schauss , Alexander Baumgartner , Temur Kutsia

General policies represent reactive strategies for solving large families of planning problems like the infinite collection of solvable instances from a given domain. Methods for learning such policies from a collection of small training…

Artificial Intelligence · Computer Science 2024-05-14 Till Hofmann , Hector Geffner

Inspired by cartographic generalization principles, we present a generalization technique for rendering line charts at different sizes, preserving the important semantics of the data at that display size. The algorithm automatically…

Graphics · Computer Science 2021-10-26 Vidya Setlur , Haeyong Chung

We introduce a logic called distance neighborhood logic with acyclicity and connectivity constraints ($\mathsf{A\&C~DN}$ for short) which extends existential $\mathsf{MSO_1}$ with predicates for querying neighborhoods of vertex sets and for…

Data Structures and Algorithms · Computer Science 2022-12-09 Benjamin Bergougnoux , Jan Dreier , Lars Jaffke

Optimal action selection in decision problems characterized by sparse, delayed rewards is still an open challenge. For these problems, current deep reinforcement learning methods require enormous amounts of data to learn controllers that…

Artificial Intelligence · Computer Science 2018-06-18 Miquel Junyent , Anders Jonsson , Vicenç Gómez

The sequential allocation protocol is a simple and popular mechanism to allocate indivisible goods, in which the agents take turns to pick the items according to a predefined sequence. While this protocol is not strategy-proof, it has been…

Computer Science and Game Theory · Computer Science 2019-11-27 Michele Flammini , Hugo Gilbert

Finding a few solutions for a given problem that are diverse, as opposed to finding a single best solution to solve the problem, has recently become a notable topic in theoretical computer science. Recently, Baste, Fellows, Jaffke,…

Data Structures and Algorithms · Computer Science 2026-03-30 Karolina Drabik , Tomáš Masařík

We study a general class of bicriteria network design problems. A generic problem in this class is as follows: Given an undirected graph and two minimization objectives (under different cost functions), with a budget specified on the first,…

Computational Complexity · Computer Science 2019-08-17 Madhav V. Marathe , R. Ravi , Ravi Sundaram , S. S. Ravi , Daniel J. Rosenkrantz , Harry B. Hunt

The problem of deciding the validity (QSAT) of quantified Boolean formulas (QBF) is a vivid research area in both theory and practice. In the field of parameterized algorithmics, the well-studied graph measure treewidth turned out to be a…

Computational Complexity · Computer Science 2020-07-06 Johannes Klaus Fichte , Markus Hecher , Andreas Pfandler

Redistricting is the problem of dividing a state into a number $k$ of regions, called districts. Voters in each district elect a representative. The primary criteria are: each district is connected, district populations are equal (or nearly…

Data Structures and Algorithms · Computer Science 2020-09-02 Vincent Cohen-Addad , Philip N. Klein , Dániel Marx

In this paper, we present long-awaited algorithmic advances toward the efficient construction of near-optimal replenishment policies for a true inventory management classic, the economic warehouse lot scheduling problem. While this paradigm…

Data Structures and Algorithms · Computer Science 2026-01-23 Danny Segev

Data-driven methods have become popular to parameterize the effects of mesoscale eddies in ocean models. However, they perform poorly in generalization tasks and may require retuning if the grid resolution or ocean configuration changes. We…

Atmospheric and Oceanic Physics · Physics 2025-09-25 Pavel Perezhogin , Alistair Adcroft , Laure Zanna

It has been recently shown that general policies for many classical planning domains can be expressed and learned in terms of a pool of features defined from the domain predicates using a description logic grammar. At the same time, most…

Artificial Intelligence · Computer Science 2022-05-09 Simon Ståhlberg , Blai Bonet , Hector Geffner

We show that the uniform Constraint Satisfaction Problem (CSP) parameterized by the size of the solution is in W[1] (the problem is W[1]-hard and it is easy to place it in W[3]). Given a single "free" element of the domain, denoted by $0$,…

Computational Complexity · Computer Science 2019-05-01 Ruhollah Majdoddin

The notion of a (polynomial) kernelization from parameterized complexity is a well-studied model for efficient preprocessing for hard computational problems. By now, it is quite well understood which parameterized problems do or…

Data Structures and Algorithms · Computer Science 2025-04-28 Leonid Antipov , Stefan Kratsch

We consider the problem of finding the isolated common roots of a set of polynomial functions defining a zero-dimensional ideal I in a ring R of polynomials over C. Normal form algorithms provide an algebraic approach to solve this problem.…

Algebraic Geometry · Mathematics 2018-12-10 Bernard Mourrain , Simon Telen , Marc Van Barel