Python notebooks for my graduate class on Detection, Estimation, and Learning. Intended for in-class demonstration. Notebooks illustrate a variety of concepts, from hypothesis testing to estimation to image denoising to Kalman filtering. Feel free to use or modify for your instruction or self-study.

A Julia package to perform Tikhonov regularization for small to moderate size problems.

Non-parametric T2 relaxometry methods for myelin water quantification

🔬 Numerical routines to inverse the Laplace Transform for semiconductor Deep Level Transient Spectroscopy.         To cite: Vasilev, A. (2024). Numerical Inverse Laplace Transform for Deep-Level Transient Spectroscopy. https://doi.org/10.5281/zenodo.10462383

pyDCONTINPALS - A Python program for running the historical FORTRAN code CONTIN-PALS which solves Fredholm integral equations with convoluted exponential decays as kernels of the type that occur in the analysis of Positron Annihilation Lifetime Spectra (PALS).

Python solver for Fredholm integral equation of the first kind.

A set of utilities for obtaining a Born cross section using visible cross section data

Primal-Dual algorithm for smooth regularization of non-smooth optimization functions

Companion Jupyter notebook of the paper "Functional Estimation of Anisotropic Covariance and Autocovariance Operators on the Sphere"

Прямая задача об установившихся продольных колебаниях стержня

Boundary reconstruction in double-connected planar domains

Solving an integral equation with the Tikhonov regularization method