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Latent Modes Of Nonlinear Flows
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Book Synopsis Latent Modes of Nonlinear Flows by : Ido Cohen
Download or read book Latent Modes of Nonlinear Flows written by Ido Cohen and published by Cambridge University Press. This book was released on 2023-05-31 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extracting the latent underlying structures of complex nonlinear local and nonlocal flows is essential for their analysis and modeling. In this Element the authors attempt to provide a consistent framework through Koopman theory and its related popular discrete approximation - dynamic mode decomposition (DMD). They investigate the conditions to perform appropriate linearization, dimensionality reduction and representation of flows in a highly general setting. The essential elements of this framework are Koopman eigenfunctions (KEFs) for which existence conditions are formulated. This is done by viewing the dynamic as a curve in state-space. These conditions lay the foundations for system reconstruction, global controllability, and observability for nonlinear dynamics. They examine the limitations of DMD through the analysis of Koopman theory and propose a new mode decomposition technique based on the typical time profile of the dynamics.
Book Synopsis Neural Dynamic Mode Decomposition by : Kenneth Hall
Download or read book Neural Dynamic Mode Decomposition written by Kenneth Hall and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The promise of applied Koopman operator theory is to find a linear representation of nonlinear dynamics. A closely related problem is that of finding a linearizing coordinate transform. The dynamic mode decomposition (DMD) is a data-driven approach to finding the best-fit linear operator which advances a set of measurements forward in time. However, DMD lacks a notion of observables, or functions of the measured state, which are an essential element of the Koopman operator's ability to linearly represent the evolution of nonlinear flows. We introduce the neural dynamic mode decomposition (NDMD), a model which takes advantage of the representational power of deep learning to discover an optimal set of observables for performing Koopman analysis via the dynamic mode decomposition. The NDMD model is trained on a multi-part loss function which includes terms designed to enforce (a) linear dynamics in the latent space of observables, (b) accurate, recurrently generated forecasts of future states, and (c) latent states which contain sufficient information to recover the original states. We demonstrate NDMD on damped and undamped nonlinear pendulum systems, as well as damped and undamped Duffing oscillator systems. NDMD learns a shared latent space where each trajectory evolves linearly. Each trajectory has its own associated time dynamics. To find a single approximation of the Koopman operator which generalizes to all trajectories, we reformulate NDMD to use training samples containing non-sequential snapshots from multiple trajectories. We modify the loss function to accommodate the non-sequential snapshots, and provide a procedure to use the fully trained model to produce a single, global approximation of the Koopman operator. NDMD is a data-driven decomposition method which can discover intrinsic dynamics of nonlinear systems. We extend NDMD to perform time-series classification tasks using the eigenvalues from DMD in the latent space as input features to a neural network classifier. This approach, which we call NDMD with classification, incorporates a classifier network and feature engineering steps into the end-to-end NDMD optimization problem. We conclude with a demonstration of NDMD with classification on an object discrimination task from acoustic recordings.
Book Synopsis Nonlinear Dynamics of Mode Competition in Annular Flows by : Marc Àvila Cañellas
Download or read book Nonlinear Dynamics of Mode Competition in Annular Flows written by Marc Àvila Cañellas and published by . This book was released on 2008 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Interactions of Fast and Slow Modes in Rotating, Stratified Fluid Flows by : Paul David Williams
Download or read book Nonlinear Interactions of Fast and Slow Modes in Rotating, Stratified Fluid Flows written by Paul David Williams and published by . This book was released on 2003 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Data-Driven Science and Engineering by : Steven L. Brunton
Download or read book Data-Driven Science and Engineering written by Steven L. Brunton and published by Cambridge University Press. This book was released on 2022-05-05 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook covering data-science and machine learning methods for modelling and control in engineering and science, with Python and MATLAB®.
Book Synopsis High Performance Computing by : Heike Jagode
Download or read book High Performance Computing written by Heike Jagode and published by Springer Nature. This book was released on 2021-11-12 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed post-conference proceedings of 9 workshops held at the 35th International ISC High Performance 2021 Conference, in Frankfurt, Germany, in June-July 2021: Second International Workshop on the Application of Machine Learning Techniques to Computational Fluid Dynamics and Solid Mechanics Simulations and Analysis; HPC-IODC: HPC I/O in the Data Center Workshop; Compiler-assisted Correctness Checking and Performance Optimization for HPC; Machine Learning on HPC Systems;4th International Workshop on Interoperability of Supercomputing and Cloud Technologies;2nd International Workshop on Monitoring and Operational Data Analytics;16th Workshop on Virtualization in High-Performance Cloud Computing; Deep Learning on Supercomputers; 5th International Workshop on In Situ Visualization. The 35 papers included in this volume were carefully reviewed and selected. They cover all aspects of research, development, and application of large-scale, high performance experimental and commercial systems. Topics include high-performance computing (HPC), computer architecture and hardware, programming models, system software, performance analysis and modeling, compiler analysis and optimization techniques, software sustainability, scientific applications, deep learning.
Book Synopsis Artificial Intelligence For Science: A Deep Learning Revolution by : Alok Choudhary
Download or read book Artificial Intelligence For Science: A Deep Learning Revolution written by Alok Choudhary and published by World Scientific. This book was released on 2023-03-21 with total page 803 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique collection introduces AI, Machine Learning (ML), and deep neural network technologies leading to scientific discovery from the datasets generated both by supercomputer simulation and by modern experimental facilities.Huge quantities of experimental data come from many sources — telescopes, satellites, gene sequencers, accelerators, and electron microscopes, including international facilities such as the Large Hadron Collider (LHC) at CERN in Geneva and the ITER Tokamak in France. These sources generate many petabytes moving to exabytes of data per year. Extracting scientific insights from these data is a major challenge for scientists, for whom the latest AI developments will be essential.The timely handbook benefits professionals, researchers, academics, and students in all fields of science and engineering as well as AI, ML, and neural networks. Further, the vision evident in this book inspires all those who influence or are influenced by scientific progress.
Download or read book Monthly Weather Review written by and published by . This book was released on 1991 with total page 972 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book AIAA 2nd Shear Flow Conference written by and published by . This book was released on 1989 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Book Synopsis Neural Information Processing by : Teddy Mantoro
Download or read book Neural Information Processing written by Teddy Mantoro and published by Springer Nature. This book was released on 2021-12-04 with total page 718 pages. Available in PDF, EPUB and Kindle. Book excerpt: The four-volume proceedings LNCS 13108, 13109, 13110, and 13111 constitutes the proceedings of the 28th International Conference on Neural Information Processing, ICONIP 2021, which was held during December 8-12, 2021. The conference was planned to take place in Bali, Indonesia but changed to an online format due to the COVID-19 pandemic. The total of 226 full papers presented in these proceedings was carefully reviewed and selected from 1093 submissions. The papers were organized in topical sections as follows: Part I: Theory and algorithms; Part II: Theory and algorithms; human centred computing; AI and cybersecurity; Part III: Cognitive neurosciences; reliable, robust, and secure machine learning algorithms; theory and applications of natural computing paradigms; advances in deep and shallow machine learning algorithms for biomedical data and imaging; applications; Part IV: Applications.
Book Synopsis Machine Learning in Modeling and Simulation by : Timon Rabczuk
Download or read book Machine Learning in Modeling and Simulation written by Timon Rabczuk and published by Springer Nature. This book was released on 2023-11-04 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Machine learning (ML) approaches have been extensively and successfully employed in various areas, like in economics, medical predictions, face recognition, credit card fraud detection, and spam filtering. There is clearly also the potential that ML techniques developed in Engineering and the Sciences will drastically increase the possibilities of analysis and accelerate the design to analysis time. With the use of ML techniques, coupled to conventional methods like finite element and digital twin technologies, new avenues of modeling and simulation can be opened but the potential of these ML techniques needs to still be fully harvested, with the methods developed and enhanced. The objective of this book is to provide an overview of ML in Engineering and the Sciences presenting fundamental theoretical ingredients with a focus on the next generation of computer modeling in Engineering and the Sciences in which the exciting aspects of machine learning are incorporated. The book is of value to any researcher and practitioner interested in research or applications of ML in the areas of scientific modeling and computer aided engineering.
Download or read book Zonal Jets written by Boris Galperin and published by Cambridge University Press. This book was released on 2019-02-28 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a comprehensive, multidisciplinary volume on the physics of zonal jets, from the leading experts, for graduate students and researchers.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1979 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Interactive Dynamics of Convection and Solidification by : S.H. Davis
Download or read book Interactive Dynamics of Convection and Solidification written by S.H. Davis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: The phase transformation from liquid to solid is a phenomenon central to a wide range of manufacturing and natural processes. The presence of phase transformation can drive convection in the melt through the liberation of latent heat, the rejection of solute, and the change of density upon freezing. The fluid mechanics itself can playa central role; the phase transformation can be strongly altered by convective transport in the liquid through the modification of the thermal and solutal environment of the solid-liquid interface; these local fields control the freezing characteristics at the interface. The convection can be generated naturally by buoyancy forces arising from gradients of temperature and concentration in the liquid, by density changes upon freezing, and by thermocapillary and solutocapillary forces on liquid-solid interfaces. The interactive coupling between solidification and convection forms the subject of this volume. Such coupled processes are significant on a large range of scales. Among the applications of interest are the manufacture of single crystals, the processing of surfaces using laser or molecular beams, and the processes of soldering and welding. One wants to understand and predict macrosegregation in castings, transport and fractionation in geological and geophysical systems, and heat accumulation in energy redistribution and storage systems. This volume contains papers presented at the NATO Advanced Research Workshop on "Interactive Dynamics of Convection and Solidification" held in Chamonix, France, March 8-13, 1992.
Book Synopsis Proceedings of the 9th Asian Joint Workshop on Thermophysics and Fluid Science, 27–30 November 2022, Utsunomiya, Japan by : Abhilash Suryan
Download or read book Proceedings of the 9th Asian Joint Workshop on Thermophysics and Fluid Science, 27–30 November 2022, Utsunomiya, Japan written by Abhilash Suryan and published by Springer Nature. This book was released on with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Knowledge Modelling and Big Data Analytics in Healthcare by : Mayuri Mehta
Download or read book Knowledge Modelling and Big Data Analytics in Healthcare written by Mayuri Mehta and published by CRC Press. This book was released on 2021-12-08 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Knowledge Modelling and Big Data Analytics in Healthcare: Advances and Applications focuses on automated analytical techniques for healthcare applications used to extract knowledge from a vast amount of data. It brings together a variety of different aspects of the healthcare system and aids in the decision-making processes for healthcare professionals. The editors connect four contemporary areas of research rarely brought together in one book: artificial intelligence, big data analytics, knowledge modelling, and healthcare. They present state-of-the-art research from the healthcare sector, including research on medical imaging, healthcare analysis, and the applications of artificial intelligence in drug discovery. This book is intended for data scientists, academicians, and industry professionals in the healthcare sector.
