But Good at Dance and Lullabies — A recent study by Yale researchers revealed that we humans are pretty good at recognizing a musical theme across different languages and cultures, except love songs. The research, published in a recent issue of Proceedings of National Academy of Sciences (PNAS), one of the most reputed journals, was based on…

Nothing Lasts Forever & It’s So Necessary! — As the morning golden lights slowly shifted from one peak to another and the softness turned into rugged brightness, I knew the fleeting morning glory was gone forever. Going to many solo hikes made me realize the moments when you suddenly feel happy as you catch a glimpse of a…

Combine many different models for better Prediction — The word Ensemble in the context of ML refers to a collection of a finite number of ML models (may include ANN), trained for the same task. Usually, the models are trained independently and then their predictions are combined. When the predictions from different models differ, it is sometimes more…

Basis of Variational Quantum Eigensolver — If you are in the early stages of studying Quantum Mechanics then you know simpler problems like a particle in a box (infinite potential barrier problem) or a Hydrogen atom, the time-independent Schrodinger Equation can be solved exactly but these are examples of idealized systems. But for general systems, it…

Latent Variables, Expectation-Maximization & Variational Inference — One of the primarily used dimension reduction techniques in data science and machine learning is Principal Component Analysis (PCA). Previously, We have already discussed a few examples of applying PCA in a pipeline with Support Vector Machine and here we will see a probabilistic perspective of PCA to provide a…

Pandas Compatibility and More in Scikit-Learn Version ≥1.2.0 — Around last year December, Scikit-Learn released a major stable update (v. 1.2.0–1) and finally I get to try some of the highlighted new features. It’s now more compatible with Pandas and a few other features will also help us in regression as well as classification tasks. Below, I go through…

Flow-Based Models for Density Estimation with TensorFlow — Previously we went through the details of the mathematics behind Normalizing Flows and some examples of transforming probability distributions. Here we combine all these concepts to understand Autoregressive Flows and how to implement them using TensorFlow Probability library. What can you expect from this post — Why Triangular Matrices are…

Pure & Mixed States, Density Matrix & Bloch Sphere — This post will cover the fundamentals of representing a single qubit state using the Bloch sphere from a mathematical perspective of the density matrix. What will be covered in the post? What is the difference between pure and mixed states? What is a density matrix? How does it help to…

Creativity and Nuances Matter: According to ChatGPT! — Response from ChatGPT: The following is a generated response by ChatGPT with the search line “Future of writers in the era of chatgpt” >>> As with any technological advancement, chatbots and language models like GPT (Generative Pre-trained Transformer) are likely to have some impact on the field of writing. However, it is important…