31. Higher-order phase reduction captures delay-dependent synchronization phenomena in physical oscillator networks
    2024/04/17 by Babette A. J. de Wolff, Sagnik Chakraborty, Bick, Christian +5 · 3 citations
    Mathematics · Physics and Astronomy · #math.DS #nlin.AO #nlin.CD
32. Quenched Mixing Rates for Doubly Intermittent Maps
    2024/04/15 by Mubarak Muhammad, Muhammad, Mubarak, Marks Ruziboev +1 · 1 citation
    Mathematics · #Markov Chains and Monte Carlo Methods #Mathematical Dynamics and Fractals #Stochastic processes and statistical mechanics #math.DS
33. Finding Birkhoff Averages via Adaptive Filtering
    2024/03/27 by Maximilian Ruth, David Bindel, Ruth, Maximilian +1 · 1 voice · 1 citation
    Computer Science · Mathematics · #37M25 #Data Mining Algorithms and Applications #Dynamical Systems (math.DS) #FOS: Mathematics #G.1.7 #Numerical Analysis (math.NA) #math.DS #math.NA
34. Theoretical Foundations of Deep Selective State-Space Models
    2024/02/29 by Nicola Muca Cirone, Cirone, Nicola Muca, Antonio Orvieto +7 · 2 voices · 14 citations
    Decision Sciences · #Complex Systems and Decision Making #cs.LG #math.DS
35. Out-of-Domain Generalization in Dynamical Systems Reconstruction
    2024/02/28 by Niclas Göring, Florian Hess, Göring, Niclas +7 · 1 voice · 2 citations
    Computer Science · Mathematics · Physics and Astronomy · #Artificial Intelligence (cs.AI) #Chaotic Dynamics (nlin.CD) #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Machine Learning (cs.LG) #cs.AI #cs.LG #math.DS #nlin.CD
36. A mathematical perspective on Transformers
    2023/12/17 by Borjan Geshkovski, Cyril Letrouit, Geshkovski, Borjan +5 · 5 voices · 47 citations
    Computer Science · #Topic Modeling #cs.LG #math.AP #math.DS
37. Koopman Spectral Linearization vs. Carleman Linearization: A Computational Comparison Study
    2023/10/29 by Shi, Dongwei, Yang, Xiu · 4 citations
    #Dynamical Systems (math.DS) #FOS: Mathematics #Optimization and Control (math.OC) #math.DS
38. Tracking the distance to criticality in systems with unknown noise
    2023/10/23 by Brendan Harris, Leonardo L. Gollo, Ben D. Fulcher · 2 voices · 4 citations
    #physics.data-an #math.DS #nlin.CD #stat.AP
39. Memory in Plain Sight: Surveying the Uncanny Resemblances of Associative Memories and Diffusion Models
    2023/09/28 by Benjamin Hoover, Hoover, Benjamin, Hendrik Strobelt +9 · 2 voices · 3 citations
    #cs.LG #cs.AI #math.DS
40. Finite braid group orbits on SL₂-character varieties
    2023/08/02 by Yeuk Hay Joshua Lam, Lam, Yeuk Hay Joshua, Aaron Landesman +3 · 1 voice · 1 citation
    #math.AG #math.DS
41. Endperiodic maps via pseudo-Anosov flows
    2023/04/20 by Michael P. Landry, Yair N. Minsky, Landry, Michael P. +3 · 3 citations
    #math.GT #math.DS
42. Accelerating universe at the end of time
    2023/03/06 by Gary Shiu, Flavio Tonioni, Shiu, Gary +3 · 1 voice · 1 citation
    Computer Science · Mathematics · Physics and Astronomy · #Computational Physics and Python Applications #Cosmology and Gravitation Theories #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Solar and Space Plasma Dynamics #astro-ph.CO #gr-qc #hep-th #math.DS
43. Identifying Equivalent Training Dynamics
    2023/02/17 by William T. Redman, Redman, William T., Juan M. Bello-Rivas +9 · 1 voice · 1 citation
    Computer Science · Mathematics · #Artificial Intelligence (cs.AI) #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #cs.AI #cs.LG #math.DS
44. Emergence of a stochastic resonance in machine learning
    2022/11/15 by Zheng-Meng Zhai, Lingwei Kong, Ling-Wei Kong +5 · 1 voice
    Computer Science · Mathematics · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Neural Networks and Applications #Neural Networks and Reservoir Computing #cs.LG #math.DS #stochastic dynamics and bifurcation
45. A Neural Programming Language for the Reservoir Computer
    2022/03/09 by Jason Z. Kim, Kim, Jason Z., Dani S. Bassett +1 · 2 voices
    Computer Science · Engineering · #Advanced Memory and Neural Computing #Neural Networks and Applications #Neural Networks and Reservoir Computing #cond-mat.dis-nn #math.DS #nlin.CD
46. Global Convergence of Hessenberg Shifted QR I: Exact Arithmetic
    2021/11/15 by Jess Banks, Banks, Jess, Jorge Garza-Vargas +3 · 1 voice
    Computer Science · Mathematics · #Advanced Optimization Algorithms Research #Matrix Theory and Algorithms #Tensor decomposition and applications #cs.DS #math.DS #math.NA #math.OC
47. Basins with tentacles
    2021/06/10 by Yuanzhao Zhang, Steven H. Strogatz · 2 voices · 4 citations
    #nlin.AO #cond-mat.dis-nn #math.DS
48. Loss Barcode: A Topological Measure of Escapability in Loss Landscapes
    2020/12/31 by Serguei Barannikov, Daria Voronkova, Barannikov, Serguei +11 · 1 voice
    Computer Science · Mathematics · #Artificial Intelligence (cs.AI) #Domain Adaptation and Few-Shot Learning #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Human Pose and Action Recognition #Information Theory (cs.IT) #Machine Learning (cs.LG) #Topological and Geometric Data Analysis #cs.AI #cs.IT #cs.LG #math.DS
49. PySINDy: A Python package for the Sparse Identification of Nonlinear Dynamics from Data
    2020/04/17 by Brian M. de Silva, Kathleen Champion, de Silva, Brian M. +9 · 1 voice · 6 citations
    Computer Science · Engineering · Mathematics · Physics and Astronomy · #Computational Physics (physics.comp-ph) #Computational Physics and Python Applications #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Model Reduction and Neural Networks #math.DS #physics.comp-ph
50. Lagrangian Neural Networks
    2020/03/10 by Miles Cranmer, Cranmer, Miles, Sam Greydanus +10 · 1 voice · 48 citations
    Computer Science · Mathematics · Physics and Astronomy · #Computational Physics and Python Applications #Model Reduction and Neural Networks #Topic Modeling #cs.LG #math.DS #physics.comp-ph #physics.data-an #stat.ML
51. Universal Differential Equations for Scientific Machine Learning
    2020/01/13 by Christopher Rackauckas, Yingbo Ma, Rackauckas, Christopher +17 · 4 voices · 47 citations
    Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Gene Regulatory Network Analysis #Mathematical Biology Tumor Growth #Model Reduction and Neural Networks #cs.LG #math.DS #q-bio.QM #stat.ML
52. Almost all orbits of the Collatz map attain almost bounded values
    2019/09/08 by Terence Tao, Tao, Terence · 4 voices · 7 citations
    #math.PR #math.DS #math.NT
53. A Game of Life on Penrose tilings
    2017/08/29 by Duane A. Bailey, Bailey, Duane A., Kathryn A. Lindsey +2 · 2 voices
    Computer Science · Materials Science · #Cellular Automata and Applications #Quasicrystal Structures and Properties #cs.IT #math.DS #math.MG #nlin.CG
54. Instantons in self-organizing logic gates
    2017/08/29 by Sean R. B. Bearden, Haik Manukian, Fabio L. Traversa +1 · 1 voice
    Computer Science · Physics and Astronomy · Mathematics · #cs.ET #cond-mat.mes-hall #math.DS
55. Borel circle squaring
    2016/12/17 by Andrew S. Marks, Spencer T. Unger · 1 voice · 1 citation
    Mathematics · #Advanced Topology and Set Theory #Mathematical Dynamics and Fractals #Point processes and geometric inequalities #math.CO #math.DS #math.LO #math.MG
56. Feynman Machine: The Universal Dynamical Systems Computer
    2016/09/13 by Eric Laukien, Richard Crowder, Laukien, Eric +3 · 2 voices
    #cs.NE #cs.AI #cs.ET #math.DS
57. The Mathematics of Taffy Pullers
    2016/07/30 by Jean-Luc Thiffeault · 4 voices
    Engineering · Mathematics · #Advanced Materials and Mechanics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #math.DS #math.GT #math.HO #nlin.CD
58. Chaotic Disintegration of the Inner Solar System
    2014/11/18 by Konstantin Batygin, Alessandro Morbidelli, Mathew J. Holman · 1 voice
    Physics and Astronomy · Mathematics · #astro-ph.EP #math.DS #nlin.CD
59. The complex dynamics of wishful thinking: The critical positivity ratio
    2013/07/26 by Nicholas J. L. Brown, Alan D. Sokal, Harris L. Friedman · 2 voices
    Physics and Astronomy · Mathematics · #nlin.CD #math.DS #physics.soc-ph
60. Applied Koopmanism
    2012/06/14 by Marko Budišić, Ryan Mohr, Ryan M. Mohr +1 · 1 voice · 19 citations
    Decision Sciences · Engineering · Mathematics · Physics and Astronomy · #Model Reduction and Neural Networks #Power System Optimization and Stability #Probabilistic and Robust Engineering Design #math.DS #math.SP #nlin.CD

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