Posts by Tags

Bias

Bias, Variance and Trade-off

less than 1 minute read

Published:

This post is a quick note to myself regarding bias-variance trade-off. The note is compilation of Andrew Ng’s machine learning lecture and my understanding. I hope someone may find it insight full.

Bias Variance Trade-off

Bias, Variance and Trade-off

less than 1 minute read

Published:

This post is a quick note to myself regarding bias-variance trade-off. The note is compilation of Andrew Ng’s machine learning lecture and my understanding. I hope someone may find it insight full.

Calculus

Stability of Fixed Points of High Dimensional Dynamical Systems

5 minute read

Published:

In the previous post, I discussed the basics regarding the stability of fixed points of a dynamical system and explained it with a simple continuous-time one-dimensional example. In this post, I will discuss fixed points for a general case of a continuous-time $n$-dimensional system.

Notes on Vector Calculus

3 minute read

Published:

This post contains some of the important notes which come in handy while working with vector-calculus.

Stablility of Fixed Point of a Dynamical System

3 minute read

Published:

Stability theory is used to address the stability of solutions of differential equations. A dynamical system can be represented by a differential equation. The stability of the trajectories of this system under perturbations of its initial conditions can also be addressed using the stability theory.

Data Science

Bias, Variance and Trade-off

less than 1 minute read

Published:

This post is a quick note to myself regarding bias-variance trade-off. The note is compilation of Andrew Ng’s machine learning lecture and my understanding. I hope someone may find it insight full.

Dynamical-Systems

Stability of Fixed Points of High Dimensional Dynamical Systems

5 minute read

Published:

In the previous post, I discussed the basics regarding the stability of fixed points of a dynamical system and explained it with a simple continuous-time one-dimensional example. In this post, I will discuss fixed points for a general case of a continuous-time $n$-dimensional system.

Stablility of Fixed Point of a Dynamical System

3 minute read

Published:

Stability theory is used to address the stability of solutions of differential equations. A dynamical system can be represented by a differential equation. The stability of the trajectories of this system under perturbations of its initial conditions can also be addressed using the stability theory.

Eigenvalues

Stability of Fixed Points of High Dimensional Dynamical Systems

5 minute read

Published:

In the previous post, I discussed the basics regarding the stability of fixed points of a dynamical system and explained it with a simple continuous-time one-dimensional example. In this post, I will discuss fixed points for a general case of a continuous-time $n$-dimensional system.

Engineering

Developer Manifesto

1 minute read

Published:

Some thoughts about engineering and software development.

Euler Angles

Rotation using Euler Angles

4 minute read

Published:

I have always found rotation using Euler angles confusing. This post is just a simple note to maintain my sanity while performing rigid body transformations using Euler angles and rotational matrices.

Geometry

Notes on Vector Calculus

3 minute read

Published:

This post contains some of the important notes which come in handy while working with vector-calculus.

Gradient

Notes on Vector Calculus

3 minute read

Published:

This post contains some of the important notes which come in handy while working with vector-calculus.

Hessian

Notes on Vector Calculus

3 minute read

Published:

This post contains some of the important notes which come in handy while working with vector-calculus.

Jacobian

Stability of Fixed Points of High Dimensional Dynamical Systems

5 minute read

Published:

In the previous post, I discussed the basics regarding the stability of fixed points of a dynamical system and explained it with a simple continuous-time one-dimensional example. In this post, I will discuss fixed points for a general case of a continuous-time $n$-dimensional system.

Notes on Vector Calculus

3 minute read

Published:

This post contains some of the important notes which come in handy while working with vector-calculus.

Machine Learning

Bias, Variance and Trade-off

less than 1 minute read

Published:

This post is a quick note to myself regarding bias-variance trade-off. The note is compilation of Andrew Ng’s machine learning lecture and my understanding. I hope someone may find it insight full.

Random Processes

7 minute read

Published:

The post explains the basics of Random Processes. Click here to read further.

Notes

Notes on Vector Calculus

3 minute read

Published:

This post contains some of the important notes which come in handy while working with vector-calculus.

ODE

Stability of Fixed Points of High Dimensional Dynamical Systems

5 minute read

Published:

In the previous post, I discussed the basics regarding the stability of fixed points of a dynamical system and explained it with a simple continuous-time one-dimensional example. In this post, I will discuss fixed points for a general case of a continuous-time $n$-dimensional system.

Stablility of Fixed Point of a Dynamical System

3 minute read

Published:

Stability theory is used to address the stability of solutions of differential equations. A dynamical system can be represented by a differential equation. The stability of the trajectories of this system under perturbations of its initial conditions can also be addressed using the stability theory.

Ordinary-Differential-Equations

Stability of Fixed Points of High Dimensional Dynamical Systems

5 minute read

Published:

In the previous post, I discussed the basics regarding the stability of fixed points of a dynamical system and explained it with a simple continuous-time one-dimensional example. In this post, I will discuss fixed points for a general case of a continuous-time $n$-dimensional system.

Stablility of Fixed Point of a Dynamical System

3 minute read

Published:

Stability theory is used to address the stability of solutions of differential equations. A dynamical system can be represented by a differential equation. The stability of the trajectories of this system under perturbations of its initial conditions can also be addressed using the stability theory.

Probability

Random Processes

7 minute read

Published:

The post explains the basics of Random Processes. Click here to read further.

Random Process

Random Processes

7 minute read

Published:

The post explains the basics of Random Processes. Click here to read further.

Randomness

Random Processes

7 minute read

Published:

The post explains the basics of Random Processes. Click here to read further.

Rotation

Rotation using Euler Angles

4 minute read

Published:

I have always found rotation using Euler angles confusing. This post is just a simple note to maintain my sanity while performing rigid body transformations using Euler angles and rotational matrices.

Rotation Matrix

Rotation using Euler Angles

4 minute read

Published:

I have always found rotation using Euler angles confusing. This post is just a simple note to maintain my sanity while performing rigid body transformations using Euler angles and rotational matrices.

Software Development

Developer Manifesto

1 minute read

Published:

Some thoughts about engineering and software development.

Stability

Stability of Fixed Points of High Dimensional Dynamical Systems

5 minute read

Published:

In the previous post, I discussed the basics regarding the stability of fixed points of a dynamical system and explained it with a simple continuous-time one-dimensional example. In this post, I will discuss fixed points for a general case of a continuous-time $n$-dimensional system.

Stochastic Process

Random Processes

7 minute read

Published:

The post explains the basics of Random Processes. Click here to read further.

Thoughts

Developer Manifesto

1 minute read

Published:

Some thoughts about engineering and software development.

Variance

Bias, Variance and Trade-off

less than 1 minute read

Published:

This post is a quick note to myself regarding bias-variance trade-off. The note is compilation of Andrew Ng’s machine learning lecture and my understanding. I hope someone may find it insight full.

Vector Calculus

Notes on Vector Calculus

3 minute read

Published:

This post contains some of the important notes which come in handy while working with vector-calculus.

Vector-valued-function

Stability of Fixed Points of High Dimensional Dynamical Systems

5 minute read

Published:

In the previous post, I discussed the basics regarding the stability of fixed points of a dynamical system and explained it with a simple continuous-time one-dimensional example. In this post, I will discuss fixed points for a general case of a continuous-time $n$-dimensional system.

quaternion

Quaternion Rotation

2 minute read

Published:

Quaternions are a number system that extends complex numbers. A quaternion provides a convenient mathematical notation for representing orientations and rotations of an object in three dimensions. This section discusses some of the useful properties and operations which are used in quaternion rotation.

quaternion-product

Quaternion Rotation

2 minute read

Published:

Quaternions are a number system that extends complex numbers. A quaternion provides a convenient mathematical notation for representing orientations and rotations of an object in three dimensions. This section discusses some of the useful properties and operations which are used in quaternion rotation.

rotation

Quaternion Rotation

2 minute read

Published:

Quaternions are a number system that extends complex numbers. A quaternion provides a convenient mathematical notation for representing orientations and rotations of an object in three dimensions. This section discusses some of the useful properties and operations which are used in quaternion rotation.