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ODEs

ODE Applications: Deep Learning

9 minute read

Published:

Ordinary Differential Equations (ODEs) play a critical role in deep learning, providing a mathematical framework for modeling continuous transformations in neural networks. Below, we explore seven key examples where ODEs intersect with deep learning, accompanied by real-world applications and references.

deep learning

Deep Learning for Network Analysis

8 minute read

Published:

Deep learning has transformed many fields by enabling machines to automatically learn data representations. In network analysis, deep learning plays a pivotal role in representation learning, facilitating the extraction of meaningful features from graphs for tasks such as classification, clustering, and link prediction.

ODE Applications: Deep Learning

9 minute read

Published:

Ordinary Differential Equations (ODEs) play a critical role in deep learning, providing a mathematical framework for modeling continuous transformations in neural networks. Below, we explore seven key examples where ODEs intersect with deep learning, accompanied by real-world applications and references.

graph neural networks

Deep Learning for Network Analysis

8 minute read

Published:

Deep learning has transformed many fields by enabling machines to automatically learn data representations. In network analysis, deep learning plays a pivotal role in representation learning, facilitating the extraction of meaningful features from graphs for tasks such as classification, clustering, and link prediction.

graph theory

Introduction to Social Networks Analysis

19 minute read

Published:

A network is a collection of objects, known as nodes (or vertices), connected by relationships called edges (or links). The study of networks, also referred to as graph theory, has applications in multiple disciplines, including sociology, biology, computer science, and economics.

machine learning

ODE Applications: Deep Learning

9 minute read

Published:

Ordinary Differential Equations (ODEs) play a critical role in deep learning, providing a mathematical framework for modeling continuous transformations in neural networks. Below, we explore seven key examples where ODEs intersect with deep learning, accompanied by real-world applications and references.

network analysis

Introduction to Social Networks Analysis

19 minute read

Published:

A network is a collection of objects, known as nodes (or vertices), connected by relationships called edges (or links). The study of networks, also referred to as graph theory, has applications in multiple disciplines, including sociology, biology, computer science, and economics.

neural networks

ODE Applications: Deep Learning

9 minute read

Published:

Ordinary Differential Equations (ODEs) play a critical role in deep learning, providing a mathematical framework for modeling continuous transformations in neural networks. Below, we explore seven key examples where ODEs intersect with deep learning, accompanied by real-world applications and references.

node embeddings

Deep Learning for Network Analysis

8 minute read

Published:

Deep learning has transformed many fields by enabling machines to automatically learn data representations. In network analysis, deep learning plays a pivotal role in representation learning, facilitating the extraction of meaningful features from graphs for tasks such as classification, clustering, and link prediction.

probability

P&S: Experiments

3 minute read

Published:

In this post, we explore the a practical example of simulating a coin toss experiment with a Linear Congruential Generator (LCG), a well-known random number generator (RNG). We’ll illustrate how the probabilities of heads and tails converge to 0.5 as the number of tosses increases, validating the frequency approach to probability.

python

P&S: Experiments

3 minute read

Published:

In this post, we explore the a practical example of simulating a coin toss experiment with a Linear Congruential Generator (LCG), a well-known random number generator (RNG). We’ll illustrate how the probabilities of heads and tails converge to 0.5 as the number of tosses increases, validating the frequency approach to probability.

random number generation

P&S: Experiments

3 minute read

Published:

In this post, we explore the a practical example of simulating a coin toss experiment with a Linear Congruential Generator (LCG), a well-known random number generator (RNG). We’ll illustrate how the probabilities of heads and tails converge to 0.5 as the number of tosses increases, validating the frequency approach to probability.

social networks

Introduction to Social Networks Analysis

19 minute read

Published:

A network is a collection of objects, known as nodes (or vertices), connected by relationships called edges (or links). The study of networks, also referred to as graph theory, has applications in multiple disciplines, including sociology, biology, computer science, and economics.