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05/23/2023
Deep Learning with Kernels through RKHM and the Perron-Frobenius Operator
Reproducing kernel Hilbert C^*-module (RKHM) is a generalization of repr...
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02/12/2023
Koopman-Based Bound for Generalization: New Aspect of Neural Networks Regarding Nonlinear Noise Filtering
We propose a new bound for generalization of neural networks using Koopm...
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10/21/2022
Learning in RKHM: a C^*-Algebraic Twist for Kernel Machines
Supervised learning in reproducing kernel Hilbert space (RKHS) and vecto...
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06/20/2022
C^*-algebra Net: A New Approach Generalizing Neural Network Parameters to C^*-algebra
We propose a new framework that generalizes the parameters of neural net...
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01/27/2021
Reproducing kernel Hilbert C*-module and kernel mean embeddings
Kernel methods have been among the most popular techniques in machine le...
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07/29/2020
Kernel Mean Embeddings of Von Neumann-Algebra-Valued Measures
Kernel mean embedding (KME) is a powerful tool to analyze probability me...
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03/02/2020
Analysis via Orthonormal Systems in Reproducing Kernel Hilbert C^*-Modules and Applications
Kernel methods have been among the most popular techniques in machine le...
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09/09/2019
Krylov Subspace Method for Nonlinear Dynamical Systems with Random Noise
Operator-theoretic analysis of nonlinear dynamical systems has attracted...
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05/31/2018