A Discrete Fourier Transform (DFT), a Fast Wavelet Transform (FWT), and a Wavelet Packet Transform (WPT) algorithm in 1-D, 2-D, and 3-D using normalized orthogonal (orthonormal) Haar, Coiflet, Daubechie, Legendre and normalized biorthognal wavelets in Java.

Source code of 'Deep transfer operator learning for partial differential equations under conditional shift'.

A Mathematica package for performing calculations involving matrices/vectors in the Dirac notation which is usually used in quantum mechanics/quantum computing.

Official code for Continuous-Time Functional Diffusion Processes (NeurIPS 2023).

A refactored port and code rebuilt of JWave - Discrete Fourier Transform (DFT), Fast Wavelet Transform (FWT), Wavelet Packet Transform (WPT), some Shifting Wavelet Transform (SWT) by using orthogonal (orthonormal) wavelets like Haar, Daubechie, Coiflet, and other normalized bi-orthogonal wavelets.

Julia implementations of the Hilbert-Schmidt Independence Criterion (HSIC)

A light-weight repository to compute Amplitude Phase distance between two functions

A generator of basis with symmetries for Julia

Originally written to solve systems of integrodifferential equations via collocation method in an arbitrary number of variables. The current implementation of the method is based on a finite-dimensional orthogonal system of functions.

🚀 Advanced Physics-Prime Factorization (PPF) computational library: quantum mechanics through number theory, featuring Sign Prime (-1), state space collapse, topological analysis, and IOT geometric realizations

Python code for kernel inference - optimal estimation of covariance functions

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

Harvard Spring 2020 Math 110 Vector Space Methods for ODEs (Christian Brennecke)

Bloch Sphere Simulator for QC

MMD and HSIC for non-stationary random processes

Tautum physics is the physical UFT of UFTs, or "God's Tautology" hence Tautum as with tau_q phase to amplitude vice versa

QuantaPlus is a light C++ template library for quantum mechanics problems

This is for high-dimensional visualization of AI networks.

Flexible SVM framework implementation

I have implemented a kalman filter from an existing paper that can predict and estimate the behavior of a noisy dynamic system. I have used kernel trick to compute some of the equations.

Code to the paper: A First Approach to Quantum Logical Shape Classification Framework

Neuronova is a neurocognitive–mathematical framework for natural language modeling. It represents linguistic elements as dynamic fields in a geometric space, using operators to simulate meaning, actions, and semantic transformations. Early prototype for research and collaboration.

An infinite-dimensional vector package.

Additive interaction modelling using I-priors

Homemade SVM dual problem solver

Support vector machines flexible framework