UNCE/SCI/023.With the advent of microfluidics and lab-on-chip systems, DNA and protein separation technologies are being developed for biology, diagnostics, and health purposes. was supported by Charles University Research Program No. and M.Š were supported by Czech Science Foundation, Project No. acknowledges the support of the Spanish Ministry of Science, Innovation and Universities through grant number PRE2018-083211. was supported by the Natural Sciences and Engineering Research Council of Canada, Grants 31003735.ī.M. The support given by the Spanish Ministry of Economy and Competitiveness through Grant number DPI2017-85139-C2-1-R, and by the Regional Government of Aragon and the European Social Fund, research group T88, is also greatly acknowledged. also acknowledges the financial support of ESI Group through the project “Simulated Reality”. The support from ANR (Agence Nationale de la Recherche, France) through its grant AAPG2018 DataBEST is also gratefully acknowledged.Į.C. ![]() Alain de Rouvray by the rich and inspiring discussions on pattern recognition as the first step towards machine learning and artificial intelligence, motivating the preset work. Grmela, for performing the researches here addressed. thanks ESI Group through its research chair at “Arts et Métiers ParisTech”, whose first invited position was Prof. We are grateful to Václav Klika for discussing the manuscript.į.Ch. Pavelka, M., Šípka, M.: Machine-learning-rigid-body (2020). Simo, J.C., Marsden, J.E., Krishnaprasad, P.S.: Arch. Marsden, J., Ratiu, T., Weinstein, A.: Trans. Butterworth-Heinemann (1976)Īrnold, V.: Annales de l’institut Fourier 16(1), 319 (1966) Special Issue on Linear Systems and Control González, D., Chinesta, F., Cueto, E.: Front. ![]() González, D., Chinesta, F., Cueto, E.: Continuum Mechanics and Thermodynamics (2018). Penguin Books, London (2004)īrockett, R.: Linear Algebra Appl. Pavelka, M., Klika, V., Grmela, M.: Physica D: Nonlinear Phenomena 399, 193 (2019). Karlin, I.V., Tatarinova, L.L., Gorban, A.N., Öttinger, H.C.: Physica A: Stat. Gorban, A.N., Karlin, I.V., Öttinger, H.C., Tatarinova, L.L.: Phys. Accepted (2020)Įhrenfest, P., Ehrenfest, T.: The Conceptual Foundations of the Statistical Approach in Mechanics. Ĭallen, H.: Thermodynamics: An Introduction to the Physical Theories of Equilibrium Thermostatics and Irreversible Thermodynamics. Ĭhapman, S., Cowling, T., Burnett, D., Cercignani, C.: The Mathematical Theory of Non-uniform Gases: An Account of the Kinetic Theory of Viscosity, Thermal Conduction and Diffusion in Gases. Gorban, A., Karlin, I.: Invariant Manifolds for Physical and Chemical Kinetics. Grmela, M., Klika, V., Pavelka, M.: Phys. ĭe Groot, S.R., Mazur, P.: Non-equilibrium Thermodynamics. ![]() Pavelka, M., Klika, V., Grmela, M.: Phys. Pavelka, M., Klika, V., Grmela, M.: Multiscale Thermo-Dynamics (De Gruyter, Berlin. Öttinger, H.: Beyond Equilibrium Thermodynamics. Moya, B., Gonzalez, D., Alfaro, I., Chinesta, F., Cueto, E.: Comput. Kaiser, E., Kutz, J., Brunton, S.: Discovering conservation laws from data for control (2018) 5(1), 501 (2018)īrunton, S., Proctor, J., Kutz, J.: Proceedings of the National Academy of Sciences (2016). Johns Hopkins Studies in the Mathematical Sciences. Golub, G., Van Loan, C.: Matrix Computations. Gorban, A.N., Grechuk, B., Tyukin, I.Y.: Augmented artificial intelligence: a conceptual framework (2018) Gesamtausgabe, L.: Ludwig Boltzmann Gesamtausgabe - Collected Works (1983)
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