Results 211 to 220 of about 83,069 (252)

Contraction theory for nonlinear stability analysis and learning-based control: A tutorial overview [PDF]

open access: yesAnnual Reviews in Control, 2021
Contraction theory is an analytical tool to study differential dynamics of a non-autonomous (i.e., time-varying) nonlinear system under a contraction metric defined with a uniformly positive definite matrix, the existence of which results in a necessary and sufficient characterization of incremental exponential stability of multiple solution ...
Hiroyasu Tsukamoto   +2 more
exaly   +5 more sources

Learning-based Robust Motion Planning With Guaranteed Stability: A Contraction Theory Approach [PDF]

open access: yesIEEE Robotics and Automation Letters, 2021
IEEE Robotics and Automation Letters (RA-L), Preprint Version. Accepted June, 2021 (DOI: 10.1109/LRA.2021.3091019)
Hiroyasu Tsukamoto, Soon-Jo Chung
exaly   +4 more sources
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Principled reward shaping for reinforcement learning via lyapunov stability theory

Neurocomputing, 2020
Abstract Reinforcement learning (RL) suffers from the designation in reward function and the large computational iterating steps until convergence. How to accelerate the training process in RL plays a vital role. In this paper, we proposed a Lyapunov function based approach to shape the reward function which can effectively accelerate the training ...
Yunlong Dong, Ye Yuan
exaly   +2 more sources

Predicting the stability of ternary intermetallics with density functional theory and machine learning

Journal of Chemical Physics, 2018
We use a combination of machine learning techniques and high-throughput density-functional theory calculations to explore ternary compounds with the AB2C2 composition. We chose the two most common intermetallic prototypes for this composition, namely, the tI10-CeAl2Ga2 and the tP10-FeMo2B2 structures.
Jonathan Schmidt   +2 more
exaly   +3 more sources

STABILITY RESULTS IN LEARNING THEORY

Analysis and Applications, 2005
The problem of proving generalization bounds for the performance of learning algorithms can be formulated as a problem of bounding the bias and variance of estimators of the expected error. We show how various stability assumptions can be employed for this purpose.
Rakhlin, Alexander   +2 more
openaire   +2 more sources

Stability theory of universal learning network

1996 IEEE International Conference on Systems, Man and Cybernetics. Information Intelligence and Systems (Cat. No.96CH35929), 2002
Higher order derivatives of the universal learning network (ULN) has been previously derived by forward and backward propagation computing methods, which can model and control the large scale complicated systems such as industrial plants, economic, social and life phenomena. In this paper, a new concept of nth order asymptotic orbital stability for the
K. Hirasawa   +3 more
openaire   +1 more source

A NOTE ON STABILITY OF ERROR BOUNDS IN STATISTICAL LEARNING THEORY

Analysis and Applications, 2011
We consider a wide class of error bounds developed in the context of statistical learning theory which are expressed in terms of functionals of the regression function, for instance, its norm in a reproducing kernel Hilbert space or other functional space.
Li, Ming, Caponnetto, Andrea
openaire   +2 more sources

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