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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…
Go to the profile of Vivek Palaniappan
Vivek Palaniappan
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.
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Vivek Palaniappan
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…
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Vivek Palaniappan
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?
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Vivek Palaniappan
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?”
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Vivek Palaniappan
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?
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Vivek Palaniappan
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.
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Vivek Palaniappan
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…
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Vivek Palaniappan
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…
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Vivek Palaniappan
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?
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Vivek Palaniappan
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