Himanshu Singh's Projects
This repository contains my notes of Calculus and Statistics that I taught in the Department of Mathematics at The University of Texas at Tyler.
Codes of my present and recent research work on dynamical systems in Python. In this repository, we can see a wide variety of examples of the phase-portraits of dynamical systems ranging from simple age-dependent population dynamics to the capacitor-resistor dynamical system used in electrical circuits.
This repository was commited under the action of executing important tasks on which modern Generative AI concepts are laid on. In particular, we focussed on three coding actions of Large Language Models. Extra and necessary details are given in the README.md file.
This is the recent work of my on the importance and application of mathematical function around its Hilbert function theory on artificial intelligence algorithms. The main motivation was the desire of improving the convergence rate and learning rate of various learning algorithms via Generalized Gaussian Radial Basis Function.
About me via CV and Scientific Research Agenda as of 10th March 2024.
This repository holds the discussion of configuring the Kelvin-Wake-Pattern problem which is an interesting phenomena. We study this amazing V-shaped pattern and reconstruct individual parts of the same followed by changing the arguments of the integrand.
This research work is about Limited Data Acquisition for the real life physical experiment of fluid flow across cylinder based on Kernelized Extended Dynamic Mode Decomposition by incorporating Gaussian Random Matrix Theory and Laplacian Kernel Function Hilbert space.
Here, we will provide a PyTorch regime to handle the partial differential equation solution of the heat equation by executing Deep Kolmogorov Method of Beck et. al.
These are some of my recent tryouts on PyTorch. Here, I incorporate basics of recipes of PyTorch as Autograd function, activation function (sigmoid, hyperbolic tangent function etc.), tensors etc. I was also able to try some of advanced coding recipe as well such as Natural Language Processing and Long Short-Term Memory Model as well. MORE TO COME!
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