Derivation and construction of a thermodynamic phase diagram for ternary alloy systems with 2 or 3 phases
Implementation of Support Vector Machine algorithm using Lagrange Multipliers method for solving non-linear constrained optimization problems.
A Lagrange Dual Learning Framework for Solving Constrained Inverse Kinematics Tasks (Project for 6.881 Spring 2020, Optimization for Machine Learning)
A collection of tools to used to evaluate dynamical systems with nonholonomic constraints.
Support Vector Machine from Scratch
In this project, we modeled the motion of a ball on a rotating parabolic wire using the Lagrange multiplier method. We derived and solved the system of differential equations via the Constraint Stabilization method, analyzing the results using Python with NumPy, SciPy, and Matplotlib for computation and visualization.
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