Multiple Shooting for Training Neural Differential Equations on Time Series [PDF]
Neural differential equations have recently emerged as a flexible data-driven/hybrid approach to model time-series data. This letter experimentally demonstrates that if the data contains oscillations, then standard fitting of a neural differential ...
Evren Mert Turan, J. Jäschke
semanticscholar +6 more sources
A continuation multiple shooting method for Wasserstein geodesic equation [PDF]
In this paper, we propose a numerical method to solve the classic $L^2$-optimal transport problem. Our algorithm is based on use of multiple shooting, in combination with a continuation procedure, to solve the boundary value problem associated to the ...
J. Cui, L. Dieci, Haomin Zhou
semanticscholar +4 more sources
A Unified Perspective on Multiple Shooting In Differential Dynamic Programming [PDF]
Differential Dynamic Programming (DDP) is an efficient computational tool for solving nonlinear optimal control problems. It was originally designed as a single shooting method and thus is sensitive to the initial guess supplied.
He Li +3 more
semanticscholar +4 more sources
Multiple Shooting in Rational Expectations Models [PDF]
This note describes an algorithm for the solution of rational expectations models with saddlepoint stability properties. The algorithm is based on the method of multiple shooting, which is widely used to solve mathematically similar problems in the physical sciences.
Lipton, David +3 more
core +7 more sources
Differentiable Multiple Shooting Layers [PDF]
We detail a novel class of implicit neural models. Leveraging time-parallel methods for differential equations, Multiple Shooting Layers (MSLs) seek solutions of initial value problems via parallelizable root-finding algorithms. MSLs broadly serve as drop-in replacements for neural ordinary differential equations (Neural ODEs) with improved efficiency ...
Stefano Massaroli +6 more
openaire +4 more sources
Numerical solution of a kidney model by multiple shooting [PDF]
Abstract The mathematical modeling of the renal counterflow system involves a two-point boundary-value problem for a system of nonlinear differential equations. In this paper the multiple shooting technique is used for the numerical solution of this problem. This method ensures highly precise and reliable computations.
Peter Lory, Lory, Peter
openaire +5 more sources
Neural Mechanisms of Shooting Preparation Under High‐Risk and High‐Precision Tasks: A Multiscale EEG Study [PDF]
Background During the shooting‐preparation phase, shooters frequently encounter multiple interfering factors, such as task load, social evaluation, and complex environments.
Xinyu Shi +7 more
doaj +2 more sources
The purpose of this report was to study the Multiple Shooting method, a numerical method to solve boundary value ordinary differential equation. A FORTRAN program was written to solve the specific problem. y'' = -y, y(0) = 0, y(π/2) = 1 on a microcomputer, using the microsoft FORTRAN compiler and the 8087 coprocessor.
St-Maurice, Monique
openaire +4 more sources
Lower-body strength and power profiles and their relationships with shot velocity and accuracy in elite arena soccer players [PDF]
BackgroundSoccer goals depend on the ability to strike the ball both fast and accurately, yet it is unclear which lower-body neuromuscular qualities best underpin these outcomes in professional arena soccer.
Minh N. Q. Nguyen +5 more
doaj +2 more sources
Developmental Differences in Gaze Behaviors and Performance During Basketball Free Throws in Youth Athletes [PDF]
(1) Background: This study investigated developmental differences in gaze behaviors and performance during basketball free throws among youth athletes.
Miaoyu Han +3 more
doaj +2 more sources

