Ramkumar
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Differential equations
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Technical Writings
Here, you can find the list of technical writeups I prepared as a part of academics and hobby.
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Transformer Networks
Neural networks
The below presentation was made to understand and explain transformer neural networks that is popularly used in AI models like Chat-GPT.
Oct 19, 2025
Ramkumar
Understanding Kalman Filters
Differential equations
Mathematics
System identification
The Kalman Filter (KF) is a recursive optimal estimation algorithm that provides the best possible estimate of a system’s internal state in the presence of process and…
Oct 5, 2025
Ramkumar
Solution to the 1D heat conduction equation using Theory of Functional Connections
Differential equations
Mathematics
This work presents detailed steps on solving one-dimensional heat conduction equation incorporating both Dirichlet and Neumann type boundary conditions using the Theory of…
Jun 22, 2025
Ramkumar
Back Propagation Through Time for Recurrent Neural Networks
Neural networks
Mathematics
Recurrent Neural Networks are the type of ANNs that are used for processing sequential data such as a string of characters and time-series data. These RNNs can be trained to…
Apr 27, 2025
Ramkumar
Back Propagation equations derivation for a Multi-Layer Perceptron
Neural networks
The below presentaiton contains the derivations of back-propagation equations used for MLPs. It can be extended to general fully connected deep networks.
Mar 27, 2025
Ramkumar
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