Results 11 to 20 of about 72,021 (274)
NetKet 3: Machine Learning Toolbox for Many-Body Quantum Systems [PDF]
SciPost Physics Codebases, 2021 We introduce version 3 of NetKet, the machine learning toolbox for many-body quantum physics. NetKet is built around neural quantum states and provides efficient algorithms for their evaluation and optimization. This new version is built on top of JAX, a
Filippo Vicentini +10 more
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Triviality of differential Galois cohomology of linear differential algebraic groups [PDF]
Communications in Algebra, 2019 We show that the triviality of the differential Galois cohomologies over a partial differential field K of a linear differential algebraic group is equivalent to K being algebraically, Picard-Vessiot, and linearly differentially closed. This former is also known to be equivalent to the uniqueness up to an isomorphism of a Picard-Vessiot extension of a ...
Minchenko, Andrei, Ovchinnikov, Alexey
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Eigen-AD: Algorithmic Differentiation of the Eigen Library [PDF]
International Conference on Conceptual Structures, 2019 In this work we present useful techniques and possible enhancements when applying an Algorithmic Differentiation (AD) tool to the linear algebra library Eigen using our in-house AD by overloading (AD-O) tool as a case study.
P. Peltzer, J. Lotz, U. Naumann
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Feedback linearization of nonlinear differential‐algebraic control systems [PDF]
International Journal of Robust and Nonlinear Control, 2021 AbstractIn this article, we study feedback linearization problems for nonlinear differential‐algebraic control systems (DACSs). We consider two kinds of feedback equivalences, namely, external feedback equivalence, which is defined (locally) on the whole generalized state space, and internal feedback equivalence, which is defined on the locally maximal
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Numerical integration of positive linear differential-algebraic systems [PDF]
Numerische Mathematik, 2013 This paper develops numerical techniques for preserving the positivity as well as the algebraic constraints of linear positive differential algebraic equations. The key approach is the decomposition of \(Ex'= Ax+ f\) into its differential and algebraic components.
A. K. Baum, V. Mehrmann
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019 We consider the equations of ideal gas dynamics in a cylindrical coordinate system with the arbitrary equation of state and one two-dimensional subalgebra from the optimum system of an 11-dimensional Lie algebra of differentiation operators of the first ...
Yuliya Valer'evna Yulmukhametova
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On detectability of switched linear differential-algebraic equations [PDF]
2015 54th IEEE Conference on Decision and Control (CDC), 2015 This paper addresses the notion of detectability for continuous-time switched systems comprising linear differential-algebraic equations (DAEs). It relates to studying asymptotic stability of the set of state trajectories corresponding to zero input and zero output, with a fixed switching signal.
Tanwani, Aneel, Trenn, Stephan
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Input-output structure of linear differential/algebraic systems [PDF]
IEEE Transactions on Automatic Control, 1993 Summary: Systems of linear differential and algebraic equations occur in various ways, for instance, as a result of automated modeling procedures and in problems involving algebraic constraints, such as zero dynamics and exact model matching. Differential/algebraic systems may represent an input- output relation in a highly redundant way; still, it is ...
Kuijper, M., Schumacher, J.M.
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Differential Controllability of Linear Systems of Differential-algebraic Equations [PDF]
Journal of Siberian Federal University. Mathematics & Physics, 2017 Summary: Linear controllable system of first order ordinary differential equations is considered. The system is unresolved with respect to the derivative of the unknown function and it is identically degenerate in the domain. An arbitrarily high unresolvability index is admitted.
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Algebra of Observables for Identical Particles in One Dimension [PDF]
, 1997 The algebra of observables for identical particles on a line is formulated starting from postulated basic commutation relations. A realization of this algebra in the Calogero model was previously known.
Alexios P. Polychronakos +17 more
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