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Quantitative Analysis
AIAlpha: Using machine learning to predict stocks
AIAlpha: Using machine learning to predict stocks
Machine learning and deep learning have found their place in financial institution for their power in predicting time series data with…
Vivek Palaniappan
Oct 18, 2018
Black-Scholes: A Quantum Perspective
Black-Scholes: A Quantum Perspective
An investigation into how the Black-Scholes equation is actually embedded in the dynamics of quantum particles.
Vivek Palaniappan
Apr 11
Manifold Learning: The Theory Behind it
Manifold Learning: The Theory Behind it
Manifold Learning has become an exciting application of geometry and in particular differential geometry to machine learning. However, I…
Vivek Palaniappan
Sep 27, 2018
SolarSVM: How Machine Learning can help Global Warming
SolarSVM: How Machine Learning can help Global Warming
Will AI and Machine Learning be the solution we have been searching for all this while?
Vivek Palaniappan
Apr 24
Research
PCA Factors most sensitive to distributional changes
PCA Factors most sensitive to distributional changes
This article is a summary and exploration of the research paper “Which principal components are most sensitive to distributional changes?”
Vivek Palaniappan
Jun 5
Engineering
The Asymmetric Top: Tackling Rigid Body Dynamics
The Asymmetric Top: Tackling Rigid Body Dynamics
How can the motion of everyday objects be more complicated than the motions of stars and atoms?
Vivek Palaniappan
Sep 23
Gram-Schmidt: Tying together matrices and functions
Gram-Schmidt: Tying together matrices and functions
A discussion of how two seemingly unrelated topics have an intimate connection.
Vivek Palaniappan
Apr 11
PDEs using Fourier Analysis II
PDEs using Fourier Analysis II
In my previous post, PDEs using Fourier Analysis I, I investigated solving PDEs, in particular the wave equation, on a membrane using…
Vivek Palaniappan
Sep 25, 2018
Volumes of Hyper-Spheres
Volumes of Hyper-Spheres
The formulas for the volume of a sphere, or the area of a circle is something we take for granted without fully understanding why it is…
Vivek Palaniappan
Sep 17, 2018
Geodesics: Paths of Shortest Distance
Geodesics: Paths of Shortest Distance
What is the shortest path between two points in a sphere? How about even more complex geometries?
Vivek Palaniappan
Apr 16
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