rkhs

By-hand code for models and algorithms. An update to the 'Miscellaneous-R-Code' repo.

Multivariate Normal Hermite-Birkhoff Interpolating Splines in Julia

Code for the paper "Convergent Methods for Koopman Operators on Reproducing Kernel Hilbert Spaces".

1-D Normal Splines in Julia

A Bayesian functional regression framework built on RKHS's and reversible jump MCMC.

Finite-Sample Integral Gaussian Processes

A functional regression framework built on Bayesian inference and RKHS's.

Empirical analysis of the Laplace and neural tangent kernel reproducing kernel Hilbert space (RKHS)

A comprehensive exploration and from-scratch implementation of Kernel Methods (RKHS, SVMs). Includes mathematical proofs, interactive visualizations, and modern research extensions.

Lifting-based Uncertain Control Invariant Dynamics

My PhD thesis: Regression modelling using priors depending on Fisher information covariance kernels (I-priors)

Binary and multinomial probit regression using I-priors

An R package for I-prior regression

Discretized Wasserstein Particle Flows of a MMD-regularized f-divergence functional.

Multimodal LLM hallucination quantification via KL-smoothed scores + spectral/energy models (RKHS, hypergraphs).

This repository provides code for the simulations and experiments in our paper: Metric Learning in an RKHS @ The 41st Conference on Uncertainty in Artificial Intelligence (UAI 2025).

Multivariate Normal Hermite-Birkhoff Uniform Smoothing Splines in Julia

End-to-end empirical implementation of model-based off-policy evaluation and pessimistic policy selection for confounded POMDPs (Hong, Qi & Xu, ICML 2024)

GSSM: a reproducing-kernel framework for the linear-SSM family (Mamba/S5/LRU as parametric special cases) + key-conditioned holographic recall. Research disclosure.

Structure-Preserving Nonlinear Sufficient Dimension Reduction