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Tip-driven growth processes underlie the development of many plants. To date, tip-driven growth processes have been modelled as an elongating path or series of segments without taking into account lateral expansion during elongation.…

Biological Physics · Physics 2014-01-24 Alexander Bucksch , Greg Turk , Joshua S. Weitz

A computational revolution unleashed the power of artificial neural networks. At the heart of that revolution is automatic differentiation, which calculates the derivative of a performance measure relative to a large number of parameters.…

Quantitative Methods · Quantitative Biology 2023-12-27 Steven A. Frank

We study in detail a recently proposed simple discrete model for evolution on smooth landscapes. An asymptotic solution of this model for long times is constructed. We find that the dynamics of the population are governed by correlation…

Condensed Matter · Physics 2009-10-28 David A. Kessler , Herbert Levine , Douglas Ridgway , Lev Tsimring

The automatic design of robots has existed for 30 years but has been constricted by serial non-differentiable design evaluations, premature convergence to simple bodies or clumsy behaviors, and a lack of sim2real transfer to physical…

Robotics · Computer Science 2024-05-28 Luke Strgar , David Matthews , Tyler Hummer , Sam Kriegman

This work presents a fully integrated tree-based combined exploration-planning algorithm: Exploration-RRT (ERRT). The algorithm is focused on providing real-time solutions for local exploration in a fully unknown and unstructured…

Robotics · Computer Science 2024-07-08 Björn Lindqvist , Akash Patel , Kalle Löfgren , George Nikolakopoulos

Regularization is a core component of modern inverse problems, as it helps establish the well-posedness of the solution of interest. Popular regularization approaches include variational regularization and iterative regularization. The…

Optimization and Control · Mathematics 2025-08-08 Jie Gao , Cesare Molinari , Silvia Villa , Jingwei Liang

The seasonal production of fruit and seeds resembles opening a feeding station, such as a restaurant agents/ customers will arrive at a certain rate and pick fruit (get served) at a certain rate following some appropriate processes.…

Optimization and Control · Mathematics 2015-03-09 Muhammad Sulaiman , Abdellah Salhi

We concern computer model calibration problem where the goal is to find the parameters that minimize the discrepancy between the multivariate real-world and computer model outputs. We propose to solve an approximation using signed residuals…

Methodology · Statistics 2026-03-26 Yongseok Jeon , Sara Shashaani

Although taxonomy is often used informally to evaluate the results of phylogenetic inference and find the root of phylogenetic trees, algorithmic methods to do so are lacking. In this paper we formalize these procedures and develop…

Populations and Evolution · Quantitative Biology 2011-10-04 Frederick A. Matsen , Aaron Gallagher

Segmentation-based autonomous navigation has recently been proposed as a promising methodology to guide robotic platforms through crop rows without requiring precise GPS localization. However, existing methods are limited to scenarios where…

Robotics · Computer Science 2024-02-27 Alessandro Navone , Mauro Martini , Andrea Ostuni , Simone Angarano , Marcello Chiaberge

Constraint problems can be trivially solved in parallel by exploring different branches of the search tree concurrently. Previous approaches have focused on implementing this functionality in the solver, more or less transparently to the…

Artificial Intelligence · Computer Science 2010-08-26 Lars Kotthoff , Neil C. A. Moore

A fertile area of recent research has demonstrated concrete polynomial time lower bounds for solving natural hard problems on restricted computational models. Among these problems are Satisfiability, Vertex Cover, Hamilton Path, Mod6-SAT,…

Computational Complexity · Computer Science 2010-02-03 Ryan Williams

Mechanized theorem proving is becoming the basis of reliable systems programming and rigorous mathematics. Despite decades of progress in proof automation, writing mechanized proofs still requires engineers' expertise and remains labor…

Logic in Computer Science · Computer Science 2019-04-19 Yutaka Nagashima

A mean field feedback artificial neural network algorithm is developed and explored for the set covering problem. A convenient encoding of the inequality constraints is achieved by means of a multilinear penalty function. An approximate…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Mattias Ohlsson , Carsten Peterson , Bo Söderberg

Iteration methods based on barycentric rational interpolation are derived that exhibit accelerating orders of convergence. For univariate root search, the derivative-free methods approach quadratic convergence and the first-derivative…

Numerical Analysis · Mathematics 2020-11-11 Sebastian Cassel

We propose a semiparametric model for autonomous nonlinear dynamical systems and devise an estimation procedure for model fitting. This model incorporates subject-specific effects and can be viewed as a nonlinear semiparametric mixed…

Applications · Statistics 2011-12-01 Debashis Paul , Jie Peng , Prabir Burman

In this paper we consider the multiscale modelling of water transport in vegetated soil. In the microscopic model we distinguish between subdomains of soil and plant tissue, and use the Richards equation to model the water transport through…

Analysis of PDEs · Mathematics 2024-11-05 Andrew Mair , Mariya Ptashnyk

This research addresses the challenge of performing search missions in dynamic environments, particularly for drifting targets whose movement is dictated by a flow field. This is accomplished through a dynamical system that integrates two…

Robotics · Computer Science 2025-11-04 Luka Lanča , Karlo Jakac , Sylvain Calinon , Stefan Ivić

Motivated by the need to control the exponential growth of constraint violations in numerical solutions of the Einstein evolution equations, two methods are studied here for controlling this growth in general hyperbolic evolution systems.…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Lee Lindblom , Mark A. Scheel , Lawrence E. Kidder , Harald P. Pfeiffer , Deirdre Shoemaker , Saul A. Teukolsky

Evolutionary algorithms are popular heuristics for solving various combinatorial problems as they are easy to apply and often produce good results. Island models parallelize evolution by using different populations, called islands, which…

Neural and Evolutionary Computing · Computer Science 2015-03-19 Jörg Lässig , Dirk Sudholt
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