[BOK][B] Fundamentals of artificial neural networks

MH Hassoun - 1995 - books.google.com
" In Fundamentals of Artificial Neural Networks, Mohamad Hassoun provides the first
systematic account of artificial neural network paradigms by identifying clearly the …

[BOK][B] Introduction to mechanics and symmetry: a basic exposition of classical mechanical systems

JE Marsden, TS Ratiu - 2013 - books.google.com
Symmetry has always played an important role in mechanics, from fundamental formulations
of basic principles to concrete applications. The theme of the book is to develop the basic …

[BOK][B] Nonholonomic mechanics

AM Bloch, AM Bloch - 2015 - Springer
Nonholonomic systems provide an important class of mechanical control systems. One
reason for this importance is that nonintegrability is essential to both the mechanics and the …

[BOK][B] Optimization and dynamical systems

U Helmke, JB Moore - 2012 - books.google.com
This work is aimed at mathematics and engineering graduate students and researchers in
the areas of optimization, dynamical systems, control sys tems, signal processing, and linear …

[BOK][B] Momentum maps and Hamiltonian reduction

JP Ortega, TS Ratiu - 2013 - books.google.com
The use of the symmetries of a physical system in the study of its dynamics has a long
history that goes back to the founders of c1assical mechanics. Symmetry-based tech niques …

The Euler-Poincaré equations and double bracket dissipation

A Bloch, PS Krishnaprasad, JE Marsden… - … in mathematical physics, 1996 - Springer
This paper studies the perturbation of a Lie-Poisson (or, equivalently an Euler-Poincaré)
system by a special dissipation term that has Brockett's double bracket form. We show that a …

Optimizing quantum circuits with Riemannian gradient flow

R Wiersema, N Killoran - Physical Review A, 2023 - APS
Variational quantum algorithms are a promising class of algorithms that can be performed
on currently available quantum computers. In most settings, the free parameters of a …

Quantum-classical correspondence for a non-Hermitian Bose-Hubbard dimer

EM Graefe, HJ Korsch, AE Niederle - Physical Review A—Atomic, Molecular …, 2010 - APS
We investigate the many-particle and mean-field correspondence for a non-Hermitian N-
particle Bose-Hubbard dimer where a complex on-site energy describes an effective decay …

Nontrivial quantum cellular automata in higher dimensions

J Haah, L Fidkowski, MB Hastings - Communications in Mathematical …, 2023 - Springer
We construct a three-dimensional quantum cellular automaton (QCA), an automorphism of
the local operator algebra on a lattice of qubits, which disentangles the ground state of the …

Gradient flows for optimization in quantum information and quantum dynamics: foundations and applications

T Schulte-Herbrüggen, SJ Glaser, G Dirr… - Reviews in …, 2010 - World Scientific
Many challenges in quantum information and quantum control root in constrained
optimization problems on finite-dimensional quantum systems. The constraints often arise …