Posts by Tags

Generative Modeling

Introduction to Generative Modeling

13 minute read

Published:

This blog provides a primer on generative modeling, summarizing introductory knowledge required before venturing into more advanced topics. It will serve as a foundational piece that I plan to build upon and update whenever necessary. As I delve deeper into the subject, I intend to create more comprehensive articles focusing on various topics, This blog acts as an initial stepping stone towards that goal.

Generative modeling

Variational Autoencoders

11 minute read

Published:

Variational Autoencoders (VAEs) represent a fundamental breakthrough in generative modeling, combining the power of deep neural networks with principled Bayesian inference. Introduced by Kingma and Welling (2013) [1], VAEs provide a scalable framework for learning complex probabilistic models with continuous latent variables.

KL Divergence

Introduction to Generative Modeling

13 minute read

Published:

This blog provides a primer on generative modeling, summarizing introductory knowledge required before venturing into more advanced topics. It will serve as a foundational piece that I plan to build upon and update whenever necessary. As I delve deeper into the subject, I intend to create more comprehensive articles focusing on various topics, This blog acts as an initial stepping stone towards that goal.

Latent Variable model

Variational Autoencoders

11 minute read

Published:

Variational Autoencoders (VAEs) represent a fundamental breakthrough in generative modeling, combining the power of deep neural networks with principled Bayesian inference. Introduced by Kingma and Welling (2013) [1], VAEs provide a scalable framework for learning complex probabilistic models with continuous latent variables.

Likelihood

Introduction to Generative Modeling

13 minute read

Published:

This blog provides a primer on generative modeling, summarizing introductory knowledge required before venturing into more advanced topics. It will serve as a foundational piece that I plan to build upon and update whenever necessary. As I delve deeper into the subject, I intend to create more comprehensive articles focusing on various topics, This blog acts as an initial stepping stone towards that goal.

Linear Algebra

Mathematical Derivation and Python Implementation of Principal Component Analysis

15 minute read

Published:

Dimensionality reduction is the transformation of data from a higher dimensional space to low-dimensional space, such that the information loss is minimum. Dimensionality reduction can be used for noise reduction, data visualization, cluster analysis, or as an intermediate step to facilitate other analyses. Principal Component analysis(PCA) is one such technique.

Numpy

Mathematical Derivation and Python Implementation of Principal Component Analysis

15 minute read

Published:

Dimensionality reduction is the transformation of data from a higher dimensional space to low-dimensional space, such that the information loss is minimum. Dimensionality reduction can be used for noise reduction, data visualization, cluster analysis, or as an intermediate step to facilitate other analyses. Principal Component analysis(PCA) is one such technique.

PCA

Mathematical Derivation and Python Implementation of Principal Component Analysis

15 minute read

Published:

Dimensionality reduction is the transformation of data from a higher dimensional space to low-dimensional space, such that the information loss is minimum. Dimensionality reduction can be used for noise reduction, data visualization, cluster analysis, or as an intermediate step to facilitate other analyses. Principal Component analysis(PCA) is one such technique.

Probability

Introduction to Generative Modeling

13 minute read

Published:

This blog provides a primer on generative modeling, summarizing introductory knowledge required before venturing into more advanced topics. It will serve as a foundational piece that I plan to build upon and update whenever necessary. As I delve deeper into the subject, I intend to create more comprehensive articles focusing on various topics, This blog acts as an initial stepping stone towards that goal.

Representation Learning

Variational Autoencoders

11 minute read

Published:

Variational Autoencoders (VAEs) represent a fundamental breakthrough in generative modeling, combining the power of deep neural networks with principled Bayesian inference. Introduced by Kingma and Welling (2013) [1], VAEs provide a scalable framework for learning complex probabilistic models with continuous latent variables.

VAE

Variational Autoencoders

11 minute read

Published:

Variational Autoencoders (VAEs) represent a fundamental breakthrough in generative modeling, combining the power of deep neural networks with principled Bayesian inference. Introduced by Kingma and Welling (2013) [1], VAEs provide a scalable framework for learning complex probabilistic models with continuous latent variables.