8 papers
Convergence theory for Hermite approximations under adaptive coordinate transformations
Yahya Saleh
Recent work has shown that parameterizing and optimizing coordinate transformations using normalizing flows, i.e., invertible neural networks, can significantly accelerate the conv…
Enhancing polynomial approximation of continuous functions by composition with homeomorphisms
Ãlvaro Fernández Corral, Yahya Saleh
We enhance the approximation capabilities of algebraic polynomials by composing them with homeomorphisms. This composition yields families of functions that remain dense in the spa…
Inducing Riesz and orthonormal bases in via composition operators
Yahya Saleh, Armin Iske
Let be a composition operator mapping into for some open sets . We characterize the mappings that transform Rie…
Transferability and interpretability of vibrational normalizing-flow coordinates
Emil Vogt, Ãlvaro Fernández Corral, Yahya Saleh +1
The choice of vibrational coordinates is crucial for the accuracy, efficiency, and interpretability of molecular vibrational dynamics and spectra calculations. We explore the recen…
Sound Signal Synthesis with Auxiliary Classifier GAN, COVID-19 cough as an example
Yahya Sherif Solayman Mohamed Saleh, Ahmed Mohammed Dabbous, Lama Alkhaled +3
One of the fastest-growing domains in AI is healthcare. Given its importance, it has been the interest of many researchers to deploy ML models into the ever-demanding healthcare do…
Taylor-mode automatic differentiation for constructing molecular rovibrational Hamiltonian operators
Andrey Yachmenev, Emil Vogt, Ãlvaro Fernández Corral +1
We present an automated framework for constructing Taylor series expansions of rovibrational kinetic and potential energy operators for arbitrary molecules, internal coordinate sys…