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BOUMEDIENE HAMZI

California Institute of Technology (Caltech)

Pasadena, CA 91125

United States

SCHOLARLY PAPERS

10

DOWNLOADS

397

TOTAL CITATIONS

2

Scholarly Papers (10)

1.

Bridging Algorithmic Information Theory and Machine Learning, Part Ii: Clustering and Density Estimation in Unsupervised Learning

Number of pages: 20 Posted: 24 Oct 2024
BOUMEDIENE HAMZI, HOUMAN OWHADI and Marcus Hutter
California Institute of Technology (Caltech), California Institute of Technology (Caltech) and affiliation not provided to SSRN
Downloads 104 (694,528)

Abstract:

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Machine Learning, Algorithmic Information Theory, Cluster- ing, Density Estimation, Kernel Methods, Minimum Description Length Principle (MDL), Compression, Similarity, The Loss Rank Principle (LoRP), Algorithmic Mutual Information (AMI), Normalized Inform

2.

One-Shot Learning of Stochastic Differential Equations with Computational Graph Completion

Number of pages: 24 Posted: 22 Mar 2022
California Institute of Technology (Caltech), California Institute of Technology (Caltech), Scuola Normale Superiore, California Institute of Technology (Caltech) and affiliation not provided to SSRN
Downloads 83 (783,685)
Citation 1

Abstract:

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learning stochastic differential equations, times series forecasting, extrapolation, computational graph completion, kernel methods, Machine learning, stochastic differential equations, one-shot learning, learning dynamical systems, learning dynamical systems from data

3.

Learning Theory from the Viewpoint of Algorithmic Information Theory: Kolmogorov Complexity Meets Kernel Methods

Number of pages: 58 Posted: 12 Sep 2025
BOUMEDIENE HAMZI, Marcus Hutter and HOUMAN OWHADI
California Institute of Technology (Caltech), affiliation not provided to SSRN and California Institute of Technology (Caltech)
Downloads 62 (989,921)

Abstract:

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Kolmogorov complexityAlgorithmic information theoryKernel methodsReproducing kernel Hilbert spacesGaussian processesPositive definite kernelsNormalized compression distanceDistance-to-kernel embedding (D2KE)Random Fourier fe

A Dynamics-Informed Gaussian Process Framework for 2D Stochastic Navier-Stokes via Quasi-Gaussianity

Number of pages: 21 Posted: 27 Nov 2025
BOUMEDIENE HAMZI and HOUMAN OWHADI
California Institute of Technology (Caltech) and California Institute of Technology (Caltech)
Downloads 38 (1,238,337)

Abstract:

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Gaussian Processes, Stochastic Navier Stokes

A Dynamics-Informed Gaussian Process Framework for 2D Stochastic Navier-Stokes via Quasi-Gaussianity

Number of pages: 29 Posted: 10 Apr 2026
BOUMEDIENE HAMZI and HOUMAN OWHADI
California Institute of Technology (Caltech) and California Institute of Technology (Caltech)
Downloads 1 (1,664,434)

Abstract:

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5.

HAUSDORFF METRIC-BASED KERNEL FLOWS FOR LEARNING INVARIANT SETS IN DYNAMICAL SYSTEMS

Number of pages: 19 Posted: 18 Dec 2025
California Institute of Technology (Caltech), affiliation not provided to SSRN, California Institute of Technology (Caltech) and Johns Hopkins University
Downloads 38 (1,332,057)

Abstract:

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Data-driven dynamical systemsInvariant setsHausdorff distanceKernel methodsReproducing kernel Hilbert spaces (RKHS)Kernel flowsChaotic dynamical systemsVariational methods

6.

Kernel Methods for the Computation of Quasi-Potentials in Stochastic Dynamical Systems

Number of pages: 18 Posted: 24 Jun 2025
affiliation not provided to SSRN, California Institute of Technology (Caltech), Nanjing University of Science and Technology, California Institute of Technology (Caltech), Clemson University and Nanjing University of Aeronautics and Astronautics
Downloads 31 (1,332,057)
Citation 1

Abstract:

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Quasi-potential, kernel methods, rare events, large deviation theory

7.

Bridging Algorithmic Information Theory and Machine Learning, Part V: Learning Theory in Solomonoff Gaussian Hilbert Spaces

Number of pages: 84 Posted: 19 May 2026
BOUMEDIENE HAMZI, Marcus Hutter, HOUMAN OWHADI and Andrew Wilson
California Institute of Technology (Caltech), affiliation not provided to SSRN, California Institute of Technology (Caltech) and New York University (NYU) - New York University
Downloads 19 (1,575,921)

Abstract:

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8.

LEARNING STABILIZATION ENTROPY: A CONTROL-THEORETIC FRAMEWORK FOR QUANTIFYING TRAINING COMPLEXITY

Number of pages: 38 Posted: 19 May 2026
California Institute of Technology (Caltech), affiliation not provided to SSRN, Johns Hopkins University and California Institute of Technology (Caltech)
Downloads 7 (1,571,455)

Abstract:

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9.

Adaptive Kernel Selection for Kernelized Diffusion Maps

Number of pages: 34 Posted: 24 Apr 2026
California Institute of Technology (Caltech), University of Paris, California Institute of Technology (Caltech) and Institut Polytechnique de Paris - ENSTA Paris
Downloads 7 (1,566,597)

Abstract:

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Kernel Methods, Diffusion Maps, Learning Kernels from Data

10.

KSD-MMD TRANSPORT WITH KERNEL LEARNING FOR DIFFEOMORPHIC MEASURE MATCHING

Number of pages: 35 Posted: 31 Mar 2026
BOUMEDIENE HAMZI and HOUMAN OWHADI
California Institute of Technology (Caltech) and California Institute of Technology (Caltech)
Downloads 7 (1,566,597)

Abstract:

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Kernel Learning, Generative Modelling, MMD, KSD