Posts by Tags

Applied Algebraic Topology

CPLEX

Clustering

Data exploration using Mapper

1 minute read

Published:

I am currently working on a paper to build a new mathematical technique for Topological Data Analysis. I used this technique to build a TDA mapper tool. This post is to give basic intuition about the mapper. Mapper is used to get a higher-level understanding of the structure of the data. It is used to visualize the shape of the data in higher dimensions. Given a mapper representation of $3$D point cloud (Points are uniformly distributed) belongs to a set of animals (horse, lion, cat, camel, elephant, flamingo). Each ball in the mapper represents a cluster and the edge between balls implies common points between corresponding clusters (intuition not definition of the mapper).

Computational Complexity

Computational Topology

Data exploration using Mapper

1 minute read

Published:

I am currently working on a paper to build a new mathematical technique for Topological Data Analysis. I used this technique to build a TDA mapper tool. This post is to give basic intuition about the mapper. Mapper is used to get a higher-level understanding of the structure of the data. It is used to visualize the shape of the data in higher dimensions. Given a mapper representation of $3$D point cloud (Points are uniformly distributed) belongs to a set of animals (horse, lion, cat, camel, elephant, flamingo). Each ball in the mapper represents a cluster and the edge between balls implies common points between corresponding clusters (intuition not definition of the mapper).

Convolution Neural Network

Sentence Classification using CNN

5 minute read

Published:

ABSTRACT

Convolution Neural Networks are typically used in computer vision problems like image classification. Most of the computer vision systems todays at its core are based on CNNs from photo tagging to self driving cars. However we are going to look at the application of CNNs in NLP(Natural Language Processing).

Coverage Problem

Discrete Optimization

Geometric Traveling Salesman Problem

Mapper

Data exploration using Mapper

1 minute read

Published:

I am currently working on a paper to build a new mathematical technique for Topological Data Analysis. I used this technique to build a TDA mapper tool. This post is to give basic intuition about the mapper. Mapper is used to get a higher-level understanding of the structure of the data. It is used to visualize the shape of the data in higher dimensions. Given a mapper representation of $3$D point cloud (Points are uniformly distributed) belongs to a set of animals (horse, lion, cat, camel, elephant, flamingo). Each ball in the mapper represents a cluster and the edge between balls implies common points between corresponding clusters (intuition not definition of the mapper).

Mixed Integer Programming

Robot Motion Planning

Robotics

Sentimental Analysis

Sentence Classification using CNN

5 minute read

Published:

ABSTRACT

Convolution Neural Networks are typically used in computer vision problems like image classification. Most of the computer vision systems todays at its core are based on CNNs from photo tagging to self driving cars. However we are going to look at the application of CNNs in NLP(Natural Language Processing).

Topological Complexity

Topological Data Analysis

Data exploration using Mapper

1 minute read

Published:

I am currently working on a paper to build a new mathematical technique for Topological Data Analysis. I used this technique to build a TDA mapper tool. This post is to give basic intuition about the mapper. Mapper is used to get a higher-level understanding of the structure of the data. It is used to visualize the shape of the data in higher dimensions. Given a mapper representation of $3$D point cloud (Points are uniformly distributed) belongs to a set of animals (horse, lion, cat, camel, elephant, flamingo). Each ball in the mapper represents a cluster and the edge between balls implies common points between corresponding clusters (intuition not definition of the mapper).

Word Vector

Sentence Classification using CNN

5 minute read

Published:

ABSTRACT

Convolution Neural Networks are typically used in computer vision problems like image classification. Most of the computer vision systems todays at its core are based on CNNs from photo tagging to self driving cars. However we are going to look at the application of CNNs in NLP(Natural Language Processing).