Modern applications of machine learning in quantum sciences

A Dawid, J Arnold, B Requena, A Gresch… - arXiv preprint arXiv …, 2022 - arxiv.org
In these Lecture Notes, we provide a comprehensive introduction to the most recent
advances in the application of machine learning methods in quantum sciences. We cover …

Learning neural network potentials from experimental data via Differentiable Trajectory Reweighting

S Thaler, J Zavadlav - Nature communications, 2021 - nature.com
In molecular dynamics (MD), neural network (NN) potentials trained bottom-up on quantum
mechanical data have seen tremendous success recently. Top-down approaches that learn …

Physics-embedded inverse analysis with algorithmic differentiation for the earth's subsurface

H Wu, SY Greer, D O'Malley - Scientific Reports, 2023 - nature.com
Inverse analysis has been utilized to understand unknown underground geological
properties by matching the observational data with simulators. To overcome the …

How well does Kohn–Sham regularizer work for weakly correlated systems?

B Kalita, R Pederson, J Chen, L Li… - The Journal of Physical …, 2022 - ACS Publications
Kohn–Sham regularizer (KSR) is a differentiable machine learning approach to finding the
exchange-correlation functional in Kohn–Sham density functional theory that works for …

[HTML][HTML] SAIBench: Benchmarking AI for science

Y Li, J Zhan - BenchCouncil Transactions on Benchmarks, Standards …, 2022 - Elsevier
Scientific research communities are embracing AI-based solutions to target tractable
scientific tasks and improve research work flows. However, the development and evaluation …

Optimisation of Structured Neural Controller Based on Continuous-Time Policy Gradient

N Cho, HS Shin - arXiv preprint arXiv:2201.06262, 2022 - arxiv.org
This study presents a policy optimisation framework for structured nonlinear control of
continuous-time (deterministic) dynamic systems. The proposed approach prescribes a …

Concepts and Paradigms for Neuromorphic Programming

S Abreu - arXiv preprint arXiv:2310.18260, 2023 - arxiv.org
The value of neuromorphic computers depends crucially on our ability to program them for
relevant tasks. Currently, neuromorphic computers are mostly limited to machine learning …

[图书][B] Numerical Analysis: A Graduate Course

DE Stewart - 2022 - Springer
Numerical analysis has advanced greatly since it began as a way of creating methods to
approximate answers to mathematical questions. This book aims to bring students closer to …

Algorithms for Optimization [Bookshelf]

C Peel, TK Moon - IEEE Control Systems Magazine, 2020 - ieeexplore.ieee.org
Optimization is showcased as an accessible and powerful tool in this attractive and
instructive text. Optimization techniques are presented with mathematical motivation, without …

Backpropagation through Back Substitution with a Backslash

A Edelman, E Akyürek, Y Wang - SIAM Journal on Matrix Analysis and …, 2024 - SIAM
We present a linear algebra formulation of backpropagation which allows the calculation of
gradients by using a generically written “backslash” or Gaussian elimination on triangular …