Bilevel programming problems

S Dempe, V Kalashnikov, GA Pérez-Valdés… - Energy Systems …, 2015 - Springer
Bilevel optimization is a vital field of active research. Depending on its formulation it is part of
nonsmooth or nondifferentiable optimization, conic programming, optimization with …

Variational analysis of regular map**s

AD Ioffe - Springer Monographs in Mathematics. Springer, Cham, 2017 - Springer
Variational Analysis of Regular Map**s Page 1 Springer Monographs in Mathematics
Variational Analysis of Regular Map**s Alexander D. Ioffe Theory and Applications Page 2 …

Approximating continuous functions by relu nets of minimal width

B Hanin, M Sellke - ar**s
AL Dontchev, RT Rockafellar - 2009 - Springer
The preparation of this second edition of our book was triggered by a rush of fresh
developments leading to many interesting results. The text has significantly been enlarged …

[KNYGA][B] Modern nonconvex nondifferentiable optimization

Y Cui, JS Pang - 2021 - SIAM
Mathematical optimization has always been at the heart of engineering, statistics, and
economics. In these applied domains, optimization concepts and methods have often been …

On automatic differentiation and algorithmic linearization

A Griewank - Pesquisa Operacional, 2014 - SciELO Brasil
We review the methods and applications of automatic differentiation, a research and
development activity, which has evolved in various computational fields since the mid …

A mathematical model for automatic differentiation in machine learning

J Bolte, E Pauwels - Advances in Neural Information …, 2020 - proceedings.neurips.cc
Automatic differentiation, as implemented today, does not have a simple mathematical
model adapted to the needs of modern machine learning. In this work we articulate the …

An overview of absolute value equations: From theory to solution methods and challenges

M Hladík, H Moosaei, F Hashemi, S Ketabchi… - arxiv preprint arxiv …, 2024 - arxiv.org
This paper provides a thorough exploration of the absolute value equations $ Ax-| x|= b $, a
seemingly straightforward concept that has gained heightened attention in recent years. It is …

Nonlinear dynamics of a piecewise modified ABC fractional-order leukemia model with symmetric numerical simulations

H Khan, J Alzabut, WF Alfwzan, H Gulzar - Symmetry, 2023 - mdpi.com
In this study, we introduce a nonlinear leukemia dynamical system for a piecewise modified
ABC fractional-order derivative and analyze it for the theoretical as well computational works …

Saltation matrices: The essential tool for linearizing hybrid dynamical systems

NJ Kong, JJ Payne, J Zhu… - Proceedings of the …, 2024 - ieeexplore.ieee.org
Hybrid dynamical systems, ie, systems that have both continuous and discrete states, are
ubiquitous in engineering but are difficult to work with due to their discontinuous transitions …