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Savaw committed Feb 11, 2023
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[Link to notebook](Stoch_Fall2022_PHW1/visualization.ipynb)

This notebook includes implementation of code that generate data samples
according to following processes:
This notebook includes implementations to generate stochastic processes:

- Gaussian Process
- Poisson Process
- Hawkess Process
Example:

- A very pretty gaussian distribution:

<p align="center">
<img src="SP-Code/sample-plots/gaussian.png" width="500">
</p>

- Gaussian process with RBF kernel:

<p align="center">
<img src="SP-Code/sample-plots/g-rbf.png" width="500" >
</p>

- Brownian motion:

<p align="center">
<img src="SP-Code/sample-plots/g-brownian.png" width="500">
</p>

- Poisson process:

<p align="center">
<img src="SP-Code/sample-plots/point.png" width="500" >
</p>

- Hawkes process:

<p align="center">
<img src="SP-Code/sample-plots/hawkes.png" width="500">
</p>

## Markov Chain

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[Link to notebook](Project/Gibbs-Sampling/gibbs.ipynb)

Implemented Gibbs sampling to denoise an image.

Example:

<p align="center">
<img src="Gibbs-Sampling/initial_img.png" width="300" title="noisy image">
<img src="Gibbs-Sampling/new_image.png" width="300" title="denoised image">
</p>
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