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We present a framework that formulates the quest for the most efficient quantum state tomography scheme as an optimization problem which can be solved numerically. This approach can be applied to a broad spectrum of relevant setups…

Quantum Physics · Physics 2021-12-17 Violeta N. Ivanova-Rohling , Guido Burkard , Niklas Rohling

This paper tackles the challenge of coordinating traffic lights and automated vehicles at signalized intersections, formulated as a constrained finite-horizon optimal control problem. The problem falls into the category of mixed-integer…

Optimization and Control · Mathematics 2025-02-04 Azita Dabiri , Giray Önür , Sebastien Gros , Bart De Schutter

In the maximum independent set of convex polygons problem, we are given a set of $n$ convex polygons in the plane with the objective of selecting a maximum cardinality subset of non-overlapping polygons. Here we study a special case of the…

Computational Geometry · Computer Science 2024-02-13 Fabrizio Grandoni , Edin Husić , Mathieu Mari , Antoine Tinguely

In this paper, we studied the equilibrium problem where the bi-function may be quasiconvex with respect to the second variable and the feasible set is the intersection of a finite number of convex sets. We propose a projection-algorithm,…

Optimization and Control · Mathematics 2020-10-02 Le Hai Yen , Le Dung Muu

We settle the computational complexity of fundamental questions related to multicriteria integer linear programs, when the dimensions of the strategy space and of the outcome space are considered fixed constants. In particular we construct:…

Optimization and Control · Mathematics 2017-01-03 Jesús A. De Loera , Raymond Hemmecke , Matthias Köppe

Time-of-flight cameras provide depth information, which is complementary to the photometric appearance of the scene in ordinary images. It is desirable to merge the depth and colour information, in order to obtain a coherent scene…

Computer Vision and Pattern Recognition · Computer Science 2020-12-18 Miles Hansard , Georgios Evangelidis , Quentin Pelorson , Radu Horaud

Fix a choice and ordering of four pairwise non-adjacent vertices of a parallelepiped, and call a motif a sequence of four points in R^3 that coincide with these vertices for some, possibly degenerate, parallelepiped whose edges are parallel…

Combinatorics · Mathematics 2012-10-26 E. Rodney Canfield , Ron Fertig , R. Daniel Mauldin , David Moews

This paper studies the fundamental problem of graph coloring in fully dynamic graphs. Since the problem of computing an optimal coloring, or even approximating it to within $n^{1-\epsilon}$ for any $\epsilon > 0$, is NP-hard in static…

Data Structures and Algorithms · Computer Science 2020-06-23 Shay Solomon , Nicole Wein

The modular design of planar phased arrays arranged on orthogonal polygon-shaped apertures is addressed and a new method is proposed to synthesize domino-tiled arrays fitting multiple, generally conflicting, requirements. Starting from an…

Applied Physics · Physics 2022-05-18 Paolo Rocca , Nicola Anselmi , Alessandro Polo , Andrea Massa

We propose an approach, called the Equilibrium Distribution Model (EDM), for automatically selecting colors with optimum perceptual contrast for scientific visualization. Given any number of features that need to be emphasized in a…

Computer Vision and Pattern Recognition · Computer Science 2026-02-23 Subhrajyoti Maji , John Dingliana

This paper deals with the complexity of some natural graph problems when parametrized by {measures that are restrictions of} clique-width, such as modular-width and neighborhood diversity. The main contribution of this paper is to introduce…

Computational Complexity · Computer Science 2020-02-03 Gennaro Cordasco , Luisa Gargano , Adele Anna Rescigno

Vizing's theorem states that any $n$-vertex $m$-edge graph of maximum degree $\Delta$ can be {\em edge colored} using at most $\Delta + 1$ different colors [Diskret.~Analiz, '64]. Vizing's original proof is algorithmic and shows that such…

Data Structures and Algorithms · Computer Science 2024-05-27 Sayan Bhattacharya , Din Carmon , Martín Costa , Shay Solomon , Tianyi Zhang

A major research area in discrete geometry is to consider the best way to partition the $d$-dimensional Euclidean space $\mathbb{R}^d$ under various quality criteria. In this paper we introduce a new type of space partitioning that is…

Computational Geometry · Computer Science 2025-10-23 Orr Dunkelman , Zeev Geyzel , Chaya Keller , Nathan Keller , Eyal Ronen , Adi Shamir , Ran J. Tessler

We study the approximability of an existing framework for clustering edge-colored hypergraphs, which is closely related to chromatic correlation clustering and is motivated by machine learning and data mining applications where the goal is…

Data Structures and Algorithms · Computer Science 2023-05-16 Nate Veldt

We describe a software package, TomOpt, developed to optimise the geometrical layout and specifications of detectors designed for tomography by scattering of cosmic-ray muons. The software exploits differentiable programming for the…

The identification of the interface of an inclusion in a diffusion process is considered. This task is viewed as a parameter identification problem in which the parameter space bears the structure of a shape manifold. A corresponding…

Optimization and Control · Mathematics 2021-04-12 Tommy Etling , Roland Herzog , Martin Siebenborn

Unit disk graphs are intersection graphs of circles of unit radius in the plane. We present simple and provably good heuristics for a number of classical NP-hard optimization problems on unit disk graphs. The problems considered include…

Combinatorics · Mathematics 2016-09-06 Madhav V. Marathe , H. Breu , Harry B. Hunt , S. S. Ravi , Daniel J. Rosenkrantz

Searching for objects amongst clutter is a key ability of visual systems. Speed and accuracy are often crucial: how can the visual system trade off these competing quantities for optimal performance in different tasks? How does the…

Neurons and Cognition · Quantitative Biology 2014-11-06 Bo Chen , Pietro Perona

In computed tomography (CT), the projection geometry used for data acquisition needs to be known precisely to obtain a clear reconstructed image. Rigid patient motion is a cause for misalignment between measured data and employed geometry.…

Image and Video Processing · Electrical Eng. & Systems 2023-02-14 Mareike Thies , Fabian Wagner , Noah Maul , Laura Pfaff , Linda-Sophie Schneider , Christopher Syben , Andreas Maier

In 1960, Asplund and Gr\"unbaum proved that every intersection graph of axis-parallel rectangles in the plane admits an $O(\omega^2)$-coloring, where $\omega$ is the maximum size of a clique. We present the first asymptotic improvement over…

Computational Geometry · Computer Science 2020-07-16 Parinya Chalermsook , Bartosz Walczak