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content/portfolio/monte-carlo-project.md
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content/portfolio/monte-carlo-project.md
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---
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slug: monte-carlo-project
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title: Monte Carlo Methods Project
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description: ⚠️ Still in progress - A project to demonstrate the use of Monte Carlo methods in R.
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publishedAt: 2024/11/24
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readingTime: 3
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tags:
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- project
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- r
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- maths
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---
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This is the report for the Monte Carlo Methods Project. The project was done as part of the course `Monte Carlo Methods` at the Paris-Dauphine University. The goal was to implement different methods and algorithms using Monte Carlo methods in R.
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Methods and algorithms implemented:
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- Plotting graphs of functions
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- Inverse c.d.f. Random Variation simulation
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- Accept-Reject Random Variation simulation
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- Random Variable simulation with stratification
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- Cumulative density function
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- Empirical Quantile Function
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You can find the code here: [Monte Carlo Project Code](https://github.com/ArthurDanjou/Studies/blob/0c83e7e381344675e113c43b6f8d32e88a5c00a7/M1/Monte%20Carlo%20Methods/Project%201/003_rapport_DANJOU_DUROUSSEAU.rmd)
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<iframe src="/portfolio/monte-carlo-project/Report.pdf" width="100%" height="1000px">
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</iframe>
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content/portfolio/python-data-ml.md
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content/portfolio/python-data-ml.md
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---
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slug: python-data-ml
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title: Python Data & ML
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description: 🧠 A repository dedicated to learning and practicing Python libraries for machine learning.
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publishedAt: 2024/11/01
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readingTime: 1
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tags:
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- project
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- data
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- ml
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- python
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- r
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---
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[Python Data & ML](https://github.com/ArthurDanjou/Python-Data-Machine-Learning) is a repository dedicated to learning and practicing Python libraries for machine learning. It includes a variety of projects and exercises that cover the following topics.
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This project explores tools like NumPy, Pandas, scikit-learn, and others to understand and master key machine learning concepts. Perfect for strengthening skills in data processing, modeling, and algorithm optimization.
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The goal is to improve my level of understanding of machine learning and data science concepts, as well as to practice Python programming and using libraries like NumPy, Pandas, scikit-learn, etc., to manipulate and analyze data, during my free time.
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## Tech Stack
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- [Python](https://www.python.org/)
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- [NumPy](https://numpy.org/)
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- [Pandas](https://pandas.pydata.org/)
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- [scikit-learn](https://scikit-learn.org/stable/)
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- [Matplotlib](https://matplotlib.org/)
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- [Seaborn](https://seaborn.pydata.org/)
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- [Jupyter Notebook](https://jupyter.org/)
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- [TensorFlow](https://www.tensorflow.org/)
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- [Keras](https://keras.io/)
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- [PyTorch](https://pytorch.org/)
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content/portfolio/schelling-segregation-model.md
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content/portfolio/schelling-segregation-model.md
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---
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slug: schelling-segregation-model
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title: Schelling Segregation Model
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description: 📊 A Python implementation of the Schelling Segregation Model using Statistics and Data Visualization.
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publishedAt: 2024/05/03
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readingTime: 4
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tags:
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- project
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- python
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- maths
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---
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This is the French version of the report for the Schelling Segregation Model project. The project was done as part of the course `Projet Numérique` at the Paris-Saclay University. The goal was to implement the Schelling Segregation Model in Python and analyze the results using statistics and data visualization.
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You can find the code here: [Schelling Segregation Model Code](https://github.com/ArthurDanjou/Studies/blob/e1164f89bd11fc59fa79d94aa51fac69b425d68b/L3/Projet%20Num%C3%A9rique/Segregation.ipynb)
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<iframe src="/portfolio/schelling/Projet.pdf" width="100%" height="1000px">
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</iframe>
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tags:
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- article
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- ml
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- maths
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---
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## Introduction
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@@ -81,8 +82,8 @@ For regression problems, the **R² score** measures the proportion of the target
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$$R2 = 1 - \frac{\text{SS}_{\text{residual}}}{\text{SS}_{\text{total}}}$$ where:
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- $$\text{SS}\_{\text{residual}}$$ : Sum of squared residuals between actual and predicted values.
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- $$\text{SS}\_{\text{total}}$$ : Total sum of squares relative to the target’s mean.
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- $$\text{SS}_{\text{residual}}$$ : Sum of squared residuals between actual and predicted values.
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- $$\text{SS}_{\text{total}}$$ : Total sum of squares relative to the target’s mean.
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A $$R^2$$ close to 1 indicates a good fit.
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