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We examine the conjectured asymptotic shape of the three dimensional corner growth model [Olejarz et. al.,PRL, 108, 016102 (2012)] by mapping the model onto a restricted solid on solid model on a triangular lattice. By choosing appropriate…

Statistical Mechanics · Physics 2015-06-12 Rajeev Singh , R. Rajesh

This paper presents a guided tour of some specific problems encountered in the stability analysis of linear dynamical systems including delays in their systems' representation. More precisely, we will address the characterization of…

Optimization and Control · Mathematics 2021-12-07 Silviu-Iulian Niculescu , Islam Boussaada , Xu-Guang Li , Guilherme Mazanti , César-Fernando Méndez-Barrios

We present an algorithm to solve the problem of locating the source, or maxima, of a scalar field using a robot swarm. We demonstrate how the robot swarm determines its direction of movement to approach the source using only field intensity…

Robotics · Computer Science 2024-08-20 Antonio Acuaviva , Hector Garcia de Marina , Juan Jimenez

The paper studies a class of variational problems, modeling optimal shapes for tree roots. Given a measure $\mu$ describing the distribution of root hair cells, we seek to maximize a harvest functional $\mathcal{H}$, computing the total…

Optimization and Control · Mathematics 2024-04-12 Alberto Bressan , Sondre T. Galtung , Qing Sun

Growth pattern dynamics lie at the heart of morphogenesis. Here, we investigate the growth of plant leaves. We compute the conformal transformation that maps the contour of a leaf at a given stage onto the contour of the same leaf at a…

Tissues and Organs · Quantitative Biology 2016-11-23 Karen Alim , Shahaf Armon , Boris I. Shraiman , Arezki Boudaoud

Extracting a Construction Tree from potentially noisy point clouds is an important aspect of Reverse Engineering tasks in Computer Aided Design. Solutions based on algorithmic geometry impose constraints on usable model representations…

Graphics · Computer Science 2020-08-11 Markus Friedrich , Sebastian Feld , Thomy Phan , Pierre-Alain Fayolle

A method of optimal control computation is proposed for problems with control and state constraints. It uses a sequence of control structure adjustments in the form of generations and reductions of nodes and arcs, which do not change the…

Optimization and Control · Mathematics 2025-10-21 Maciej Szymkat , Adam Korytowski

Many policy search algorithms have been proposed for robot learning and proved to be practical in real robot applications. However, there are still hyperparameters in the algorithms, such as the exploration rate, which requires manual…

Robotics · Computer Science 2018-08-13 Shidi Li , Chee-Meng Chew , Velusamy Subramaniam

We survey some of our recent results on inverse problems for evolution equations. The goal is to provide a unified approach to solve various types of evolution equations. The inverse problems we consider consist in determining unknown…

Analysis of PDEs · Mathematics 2019-12-09 Kaïs Ammari , Mourad Choulli , Faouzi Triki

A novel artificial neural network approach to constraint satisfaction problems is presented. Based on information-theoretical considerations, it differs from a conventional mean-field approach in the form of the resulting free energy. The…

Disordered Systems and Neural Networks · Physics 2007-05-23 Henrik Jonsson , Bo Soderberg

We consider a growing planar network where a tip grows at constant speed, branches at constant rate and inactivates when it meets a branch already created. We only consider here orthogonal branching occurring always in the same direction.…

Probability · Mathematics 2026-04-22 Vincent Bansaye , Gael Raoul , Milica Tomasevic

Avraham et al. [AFK+15] presented an alternative approach to parametric search, called \emph{bifurcation}, that performs faster under certain circumstances. Intuitively, when the underlying decider execution can be rolled back cheaply and…

Computational Geometry · Computer Science 2025-10-03 Sariel Har-Peled

We present a method for solving the coverage problem with the objective of autonomously exploring an unknown environment under mission time constraints. Here, the robot is tasked with planning a path over a horizon such that the accumulated…

Of all the issues discussed at {\em Alife VII: Looking Forward, Looking Backward}, the issue of whether it was possible to create an artificial life system that exhibits {\em open-ended evolution} of novelty is by far the biggest. Of the 14…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Russell K. Standish

Inverse analysis has been utilized to understand unknown underground geological properties by matching the observational data with simulators. To overcome the underconstrained nature of inverse problems and achieve good performance, an…

Computational Physics · Physics 2022-08-10 Hao Wu , Sarah Greer , Daniel O'Malley

Assume that a target is known to be present at an unknown point among a finite set of locations in the plane. We search for it using a mobile robot that has imperfect sensing capabilities. It takes time for the robot to move between…

Designing neural networks for object recognition requires considerable architecture engineering. As a remedy, neuro-evolutionary network architecture search, which automatically searches for optimal network architectures using evolutionary…

Neural and Evolutionary Computing · Computer Science 2020-12-21 Cristiano Saltori , Subhankar Roy , Nicu Sebe , Giovanni Iacca

We develop and apply a novel shape optimization exemplified for a two-blade rotor with respect to the figure of merit ($FM$). This topologically assisted optimization (TAO) contains two steps. First a global evolutionary optimization is…

We present a novel algorithm for the minimum-depth elimination tree problem, which is equivalent to the optimal treedepth decomposition problem. Our algorithm makes use of two cheaply-computed lower bound functions to prune the search tree,…

Discrete Mathematics · Computer Science 2020-06-18 James Trimble

Several algorithms build on the perfect phylogeny model to infer evolutionary trees. This problem is particularly hard when evolutionary trees are inferred from the fraction of genomes that have mutations in different positions, across…

Data Structures and Algorithms · Computer Science 2018-12-31 Bei Jia , Surjyendu Ray , Sam Safavi , José Bento