From Paradox to Theory: An example from St. Petersburg

Some of the most powerful theories in existence have come from paradoxes and thought experiments. One that continues to fascinate me is the St. Petersburg Paradox, probably because of its simplicity.At its core, the St. Petersburg Paradox is a deceptively simple coin-flipping game. The rules are: flip a fair coin until it lands heads. The payout … Continue reading From Paradox to Theory: An example from St. Petersburg

Rearrangement Correlation: First Principle Thinking to capture Non-linear Relationships?

Couple of weeks ago, I was hunting for a non-linear association measure for a use case I was working on. That’s when I came across this paper that introduces "Rearrangement Correlation." It provides a fresh take on the tried-and-tested Pearson's r. I couldn't use the result for my specific problem. Nonetheless, the paper is a pretty … Continue reading Rearrangement Correlation: First Principle Thinking to capture Non-linear Relationships?

Vapnik’s Principle: What was actually said?

If you google Vapnik's Principle, this is the first search result: When solving a problem of interest, do not solve a more general problem as an intermediate step We will come back to this "principle" later. Allow me to take a rather elaborate detour for now. Over the years, I've delved into several self-help books. … Continue reading Vapnik’s Principle: What was actually said?

Finally a good start for the foundational models for timeseries?

Plot twist: It is Chronos by AWS Supply Chain Optimization Technology (SCOT). NeurIPS 2023 saw a proliferation of papers on the applicability of LLMs in time series forecasting. Some of the papers were so bad that I seriously have started (and continue to do so) questioning the review process of NeurIPS. Seeing that particular trend, … Continue reading Finally a good start for the foundational models for timeseries?

Randomized SVD with Power Iterations for Large Data Matrices

What is Randomized SVD? Few days ago, I happened to come across a question in a forum. Someone was asking for help about how to perform singular value decomposition (SVD) on an extremely large matrix. To sum up, the question was roughly something like following "I have a matrix of size 271520*225. I want to … Continue reading Randomized SVD with Power Iterations for Large Data Matrices

My transition from MATLAB to Julia and learning from previous mistakes

I have been using MATLAB for eight good years. MATLAB served and still serves my purpose beautifully. In this entire span of time, I made repeated attempt to switch my go-to language from MATLAB to other alternatives, like Python or R, several times. The reason has never been that my work require something that is … Continue reading My transition from MATLAB to Julia and learning from previous mistakes