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» A Computational Journey into Nonlinearity
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HYBRID
2003
Springer
15 years 3 months ago
Reachability Analysis of Nonlinear Systems Using Conservative Approximation
Abstract. In this paper we present an approach to approximate reachability computation for nonlinear continuous systems. Rather than studying a complex nonlinear system ˙x = g(x),...
Eugene Asarin, Thao Dang, Antoine Girard
NIPS
2008
14 years 11 months ago
Accelerating Bayesian Inference over Nonlinear Differential Equations with Gaussian Processes
Identification and comparison of nonlinear dynamical system models using noisy and sparse experimental data is a vital task in many fields, however current methods are computation...
Ben Calderhead, Mark Girolami, Neil D. Lawrence
ICPR
2010
IEEE
14 years 8 months ago
Learning Non-Linear Dynamical Systems by Alignment of Local Linear Models
Abstract—Learning dynamical systems is one of the important problems in many fields. In this paper, we present an algorithm for learning non-linear dynamical systems which works...
Masao Joko, Yoshinobu Kawahara, Takehisa Yairi
IJON
2010
139views more  IJON 2010»
14 years 8 months ago
Event monitoring via local motion abnormality detection in non-linear subspace
We present a computational approach to abnormal visual event detection, which is based on exploring and modeling local motion patterns in a non-linear subspace. We use motion vect...
Ioannis Tziakos, Andrea Cavallaro, Li-Qun Xu
ICINCO
2004
153views Robotics» more  ICINCO 2004»
14 years 11 months ago
Iterative Linear Quadratic Regulator Design for Nonlinear Biological Movement Systems
This paper presents an Iterative Linear Quadratic Regulator (ILQR) method for locally-optimal feedback control of nonlinear dynamical systems. The method is applied to a musculo-s...
Weiwei Li, Emanuel Todorov