Integrating scientific knowledge with machine learning for engineering and environmental systems

J Willard, X Jia, S Xu, M Steinbach, V Kumar - ACM Computing Surveys, 2022 - dl.acm.org
There is a growing consensus that solutions to complex science and engineering problems
require novel methodologies that are able to integrate traditional physics-based modeling …

Wavelet transform application for/in non-stationary time-series analysis: A review

M Rhif, A Ben Abbes, IR Farah, B Martínez, Y Sang - Applied sciences, 2019 - mdpi.com
Non-stationary time series (TS) analysis has gained an explosive interest over the recent
decades in different applied sciences. In fact, several decomposition methods were …

Multimodal data integration using machine learning improves risk stratification of high-grade serous ovarian cancer

KM Boehm, EA Aherne, L Ellenson, I Nikolovski… - Nature cancer, 2022 - nature.com
Patients with high-grade serous ovarian cancer suffer poor prognosis and variable response
to treatment. Known prognostic factors for this disease include homologous recombination …

Multiwavelet-based operator learning for differential equations

G Gupta, X **ao, P Bogdan - Advances in neural …, 2021 - proceedings.neurips.cc
The solution of a partial differential equation can be obtained by computing the inverse
operator map between the input and the solution space. Towards this end, we introduce a …

[PDF][PDF] Integrating physics-based modeling with machine learning: A survey

J Willard, X Jia, S Xu, M Steinbach… - arxiv preprint arxiv …, 2020 - beiyulincs.github.io
There is a growing consensus that solutions to complex science and engineering problems
require novel methodologies that are able to integrate traditional physics-based modeling …

[Књига][B] Data-driven science and engineering: Machine learning, dynamical systems, and control

SL Brunton, JN Kutz - 2022 - books.google.com
Data-driven discovery is revolutionizing how we model, predict, and control complex
systems. Now with Python and MATLAB®, this textbook trains mathematical scientists and …

A wavelet based numerical scheme for fractional order SEIR epidemic of measles by using Genocchi polynomials

S Kumar, R Kumar, MS Osman… - Numerical methods for …, 2021 - Wiley Online Library
Epidemiology is the glorious discipline underlying medical research, public health practice,
and health care evaluation. Nowadays, research on disease models with anonymous …

An efficient numerical method for fractional SIR epidemic model of infectious disease by using Bernstein wavelets

S Kumar, A Ahmadian, R Kumar, D Kumar, J Singh… - Mathematics, 2020 - mdpi.com
In this paper, the operational matrix based on Bernstein wavelets is presented for solving
fractional SIR model with unknown parameters. The SIR model is a system of differential …

An iterative thresholding algorithm for linear inverse problems with a sparsity constraint

I Daubechies, M Defrise… - Communications on Pure …, 2004 - Wiley Online Library
We consider linear inverse problems where the solution is assumed to have a sparse
expansion on an arbitrary preassigned orthonormal basis. We prove that replacing the usual …

[PDF][PDF] Wavelet transforms and their applications to turbulence

M Farge - Annual review of fluid mechanics, 1992 - wavelets.ens.fr
Wavelet transforms are recent mathematical techniques, based on group theory and square
integrable representations, which allows one to unfold a signal, or a field, into both space …