Dynamical and Ergodic Systems, State Space Models, Kalman Filtering, Data Assimiliation, Chaos Theory, Spontaneous Synchronization
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Introduction to Modern Theory of Dynamical Systems, Anatole Katok, Boris Hasselblatt, 1995
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An Introduction to Dynamical Systems, Michael Brin, Garrett Stuck, 2004
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Introduction to Dynamical Systems and Chaos, G.C. Layek, 2015
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Diffferential Equations, Stability and Chaos in Dynamic Economics, WA Brock, AG Malliaris, 1989
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Lecture Notes on Random Dynamical Systems, Maximillian Engel, Freie Universitaet Berlin, 2021
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Data Assimilation: Methods, Algorithms and Applications, Mark Asch et al, SIAM, 2016
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CHAOS: An Introduction To Dynamical Systems, Kathleen T. Aligood, Tim D. Sauer, James D. Yorke, 1996
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SYNC - The Emergning Science of Spontaneous Order, Steven Storgatz, 2003
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Foundations of Ergodic Theory, Marcelo Viana, Krerkley Oliveira, 2015
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System Identification: Theory for the User, Lennart Ljeung, 2nd Edition, 1999
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Brownian Motion and Stochastic Flow Systems, J. Michael Harrison, Stanford, 1985
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The Induction of Dynamical Recognizers, JB Pollack, Ohio State U., 1991
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Period-doublings to Chaos in a Simple Neural Network - An Analytical Proof, X. Wang, 1991
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Absolute Stability Conditions for Discrete Time Recurrent Neural Networks, L. Jin et al, 1994
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Dynamics and Bifurcation of Neural Networks, X. Wang EK Blum, 1995
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Discrete-Time vs Continuous-Time models of Neural Networks, X. Wang and EK Blum, 1992
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Dynamics of Analog Neural Networks with Time Delay, CM Marcus et al, NIPS, 1988
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Linear Tracking MPC for non-linear systems Part I: The model-based case, J. Berberich et al, 2022
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Linear Tracking MPC for non-linear systems Part II: The data-driven case, J. Berberich et al, 2022
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System Identification: Theory for the User, Lennart Ljeung, 2nd Edition, 1999
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Lecture Notes for a Course on System Identification, Kristaan Pelckmans, 2011
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Data Assimilation: Methods, Algorithms and Applications, Mark Asch et al, SIAM, 2016
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Data Assimilation in The Geosciences, Alberto Carrassi et al, 2018
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Non-linear Data Assimilation for High Dimensional Systems, Peter Jan van Leeuwen
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A Tutorial on Bayesian Data Assimilation, Colin Grudzien, Marc Bocquet, 2022
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A Bayesian Tutorial for data assimilation, Christopher Wikle et al, 2006
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Coupled Oscillators and Spontaneous Synchronization, Steven H, Strogatz, Ian Stuart, 1993
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Osicallators That Sync and Swarm, Kevin P O'Keeffe et al, Nature Communications, 2017
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A New Approach to Linear Filtering and Prediction Problems, R.E. Kalman, 1960
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Exposing the Power of the Kalman Filter with Jimmy Weaver, Nov 7, 2023, Medium
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An Elementary Introduction to Kalman Filtering, Yan Pei et al, U Texas at Austin, 2019
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Kalman and Particle Filters, J. Fernandez-Villaverde, U Penn, online document
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The Kalman Filter and Related Algorithms, C. Montella, Lehigh U., 2011
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An Introduction to the Kalman Filter, G. Welch and G. Bishop, U of NC at Chapel Hill, 2001
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Understanding and Applying Kalman Filtering, Lindsey Kleeman, Monash U., presentation
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Kalman and Extended Kalman Filters: Concept, Derivation and Properties, M. Ribeiro, 2004
Hidden Markov Models
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Never-Repeating Tiles Can Safeguard Quantum Information, B. Brubaker, Quanta Magazine, Feb 2024
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The Penrose Tiling is a Quantum Error-Correcting Code, Zhi Li, Latham Boyle, U. of Waterloo, 2024
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Hobbyist Finds Math’s Elusive ‘Einstein’ Tile, E. Klarreich, Quanta Magazine, 2023
Mamba: Linear-Time Sequence Modeling with Selective State Spaces, A. Gu, T. Dao, CMU, 2023
Mamba: Can it replace Transformers? Vishal Rajput, Medium Jan 8, 2024
Why Mamba was rejected? Joe El Khoury, Medium, Feb 28, 2024
A Visual Guide to Mamba and State Space Models, Maarten Grootendorst, 2024
Mamba Explained, Kola Ayonrinde, The Gradient, March 2024
HiPPO: Recurrent Memory with Optimal Polynomial Projections, A. Gu et al, Stanford U., 2020
Hungry Hungry Hippos: Towards Language Modeling with State Space Models, D. Fu, T. Dao, 2023
Efficiently Modeling Long Sequences with Structured State Spaces, K. Goel, A. Gu et al, 2022
Diagonal State Spaces are as Effective as Structured State Spaces, A. Gupta, A. Gu et al, 2022
Modeling Dynamical Systems With Neural ODE: A Hands-on Guide
Chaos theory and geometry: can they predict our world? Tim Palmer, The Royal Institution, 2023