List of Significant Probability Puzzles

I am collecting a list of probability/statistics/random processes puzzle problems. Click on the links for the description and solutions of the problem. It is well worth the effort to study, understand and derive the solutions to these. Helps sharpen the mind and increase your analysis skill. Please feel free to add your suggestion if I … Continue reading List of Significant Probability Puzzles →

Part-3 : Controlling a Mechanical System

This is the third post in my series on control systems. In part-1 we explored what the differential equations can do for you and how to make use of a differential equation, particular the Euler-Lagrange equations to describe a mechanical system. In part-2, we derived these differential equations for our 'pendulum on a cart' system. … Continue reading Part-3 : Controlling a Mechanical System →

Align a 3d mesh model with its image

Code : [github/mesh_image_align] Today I am trying out this one simple idea I have in my mind. Given an image of an object (I will use banana) and it's 3d mesh model the objective is to get the pose of the object relative to the camera. Once you have it, you can project the 3d … Continue reading Align a 3d mesh model with its image →

Organizing my Neural Network Codes

Amazing progress has been made in deep learning. I have been Tensorflow for a while now. I started out with tf0.6 then upgraded to tf0.12 then to tf1.0. The latest version is tf1.10 which is supposed to provide a stable API. I have a lot of code which has now become incompatible. The tf0.6's saver … Continue reading Organizing my Neural Network Codes →

Part-2 : Simulating a Mechanical System with Differential Equations

This is my second part in a built-up towards understanding and implementing a real world control system. In my past post, I talked about differential equations. The take home message from my last post was that, given a mechanical system and solving the free body diagram of it, we can get the differential equations describing … Continue reading Part-2 : Simulating a Mechanical System with Differential Equations →

Vector Differentiation

Just a quick cheatsheet on derivatives (of scalars and vectors) wrt of a vector. This is borrowed from the wiki page : Matrix Calculus. Vector Calculus CAS Tricks The following document is borrowed from here. Vector Calculus with Maxima (Computer Algebra System)Download Oftentimes, we need to get linear approximation of a complicated function. This is … Continue reading Vector Differentiation →

Part-1 : Why should I study differential equations?

What's the point of studying differential equations? Can we not do away with them? I almost never see an application of those as a computer science or an ECE systems student. Is it like the analog systems, we study for the legacy reason. Can we not do away from differential equations. I used to side … Continue reading Part-1 : Why should I study differential equations? →