Exercises in Machine Learning

This book contains 75+ exercises

Download, read, and practice:
arxiv.org/pdf/2206.13446

GitHub Repo: https://github.com/michaelgutmann/ml-pen-and-paper-exercises

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Topic: Python Matplotlib – From Easy to Top: Part 1 of 6: Introduction and Basic Plotting

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### 1. What is Matplotlib?

• Matplotlib is the most widely used Python library for data visualization.

• It provides an object-oriented API for embedding plots into applications and supports a wide variety of graphs: line charts, bar charts, scatter plots, histograms, etc.

---

### 2. Installing and Importing Matplotlib

Install Matplotlib if you haven't:

pip install matplotlib

Import the main module and pyplot interface:

import matplotlib.pyplot as plt
import numpy as np

---

### 3. Plotting a Basic Line Chart

x = [1, 2, 3, 4, 5]
y = [2, 3, 5, 7, 11]

plt.plot(x, y)
plt.title("Simple Line Plot")
plt.xlabel("X Axis")
plt.ylabel("Y Axis")
plt.grid(True)
plt.show()

---

### 4. Customizing Line Style, Color, and Markers

plt.plot(x, y, color='green', linestyle='--', marker='o', label='Data')
plt.title("Styled Line Plot")
plt.xlabel("X Axis")
plt.ylabel("Y Axis")
plt.legend()
plt.show()

---

### 5. Adding Multiple Lines to a Plot

x = np.linspace(0, 10, 100)
y1 = np.sin(x)
y2 = np.cos(x)

plt.plot(x, y1, label="sin(x)", color='blue')
plt.plot(x, y2, label="cos(x)", color='red')
plt.title("Multiple Line Plot")
plt.xlabel("X Axis")
plt.ylabel("Y Axis")
plt.legend()
plt.grid(True)
plt.show()

---

### 6. Scatter Plot

Used to show relationships between two variables.

x = np.random.rand(100)
y = np.random.rand(100)

plt.scatter(x, y, color='purple', alpha=0.6)
plt.title("Scatter Plot")
plt.xlabel("X Axis")
plt.ylabel("Y Axis")
plt.show()

---

### 7. Bar Chart

categories = ['A', 'B', 'C', 'D']
values = [4, 7, 2, 5]

plt.bar(categories, values, color='skyblue')
plt.title("Bar Chart Example")
plt.xlabel("Category")
plt.ylabel("Value")
plt.show()

---

### 8. Histogram

data = np.random.randn(1000)

plt.hist(data, bins=30, color='orange', edgecolor='black')
plt.title("Histogram")
plt.xlabel("Value")
plt.ylabel("Frequency")
plt.show()

---

### 9. Saving the Plot to a File

plt.plot([1, 2, 3], [4, 5, 6])
plt.savefig("plot.png")

---

### 10. Summary

• matplotlib.pyplot is the key module for creating all kinds of plots.
• You can customize styles, add labels, titles, and legends.
• Understanding basic plots is the foundation for creating advanced visualizations.

---

Exercise

• Plot y = x^2 and y = x^3 on the same figure.
• Create a scatter plot of 100 random points.
• Create and save a histogram from a normal distribution sample of 500 points.

---

#Python #Matplotlib #DataVisualization #Plots #Charts

https://t.me/DataScienceM

Topic: Python Matplotlib – From Easy to Top: Part 2 of 6: Subplots, Figures, and Layout Management

---

### 1. Introduction to Figures and Axes

• In Matplotlib, a Figure is the entire image or window on which everything is drawn.
• An Axes is a part of the figure where data is plotted — it contains titles, labels, ticks, lines, etc.

Basic hierarchy:

* Figure ➝ contains one or more Axes
* Axes ➝ the area where the data is actually plotted
* Axis ➝ x-axis and y-axis inside an Axes

import matplotlib.pyplot as plt
import numpy as np

---

### 2. Creating Multiple Subplots using `plt.subplot()`

x = np.linspace(0, 2*np.pi, 100)
y1 = np.sin(x)
y2 = np.cos(x)

plt.subplot(2, 1, 1)
plt.plot(x, y1, label="sin(x)")
plt.title("First Subplot")

plt.subplot(2, 1, 2)
plt.plot(x, y2, label="cos(x)", color='green')
plt.title("Second Subplot")

plt.tight_layout()
plt.show()

Explanation:

* subplot(2, 1, 1) means 2 rows, 1 column, this is the first plot.
* tight_layout() prevents overlap between plots.

---

### 3. Creating Subplots with `plt.subplots()` (Recommended)

fig, axs = plt.subplots(2, 2, figsize=(8, 6))

x = np.linspace(0, 10, 100)

axs[0, 0].plot(x, np.sin(x))
axs[0, 0].set_title("sin(x)")

axs[0, 1].plot(x, np.cos(x))
axs[0, 1].set_title("cos(x)")

axs[1, 0].plot(x, np.tan(x))
axs[1, 0].set_title("tan(x)")
axs[1, 0].set_ylim(-10, 10)

axs[1, 1].plot(x, np.exp(-x))
axs[1, 1].set_title("exp(-x)")

plt.tight_layout()
plt.show()

---

### 4. Sharing Axes Between Subplots

fig, axs = plt.subplots(1, 2, sharey=True)

x = np.linspace(0, 10, 100)

axs[0].plot(x, np.sin(x))
axs[0].set_title("sin(x)")

axs[1].plot(x, np.cos(x), color='red')
axs[1].set_title("cos(x)")

plt.show()

---

### 5. Adjusting Spacing with `subplots_adjust()`

fig, axs = plt.subplots(2, 2)

fig.subplots_adjust(hspace=0.4, wspace=0.3)

---

### 6. Nested Plots Using `inset_axes`

You can add a small plot inside another:

from mpl_toolkits.axes_grid1.inset_locator import inset_axes

fig, ax = plt.subplots()
x = np.linspace(0, 10, 100)
y = np.sin(x)

ax.plot(x, y)
ax.set_title("Main Plot")

inset_ax = inset_axes(ax, width="30%", height="30%", loc=1)
inset_ax.plot(x, np.cos(x), color='orange')
inset_ax.set_title("Inset", fontsize=8)

plt.show()

---

### 7. Advanced Layout: Gridspec

import matplotlib.gridspec as gridspec

fig = plt.figure(figsize=(8, 6))
gs = gridspec.GridSpec(3, 3)

ax1 = fig.add_subplot(gs[0, :])
ax2 = fig.add_subplot(gs[1, :-1])
ax3 = fig.add_subplot(gs[1:, -1])
ax4 = fig.add_subplot(gs[2, 0])
ax5 = fig.add_subplot(gs[2, 1])

ax1.set_title("Top")
ax2.set_title("Left")
ax3.set_title("Right")
ax4.set_title("Bottom Left")
ax5.set_title("Bottom Center")

plt.tight_layout()
plt.show()

---

### 8. Summary

• Use subplot() for quick layouts and subplots() for flexibility.
• Share axes to align multiple plots.
• Use inset_axes and gridspec for custom and complex layouts.
• Always use tight_layout() or subplots_adjust() to clean up spacing.

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### Exercise

• Create a 2x2 grid of subplots showing different trigonometric functions.
• Add an inset plot inside a sine wave chart.
• Use Gridspec to create an asymmetric layout with at least 5 different plots.

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#Python #Matplotlib #Subplots #DataVisualization #Gridspec #LayoutManagement

https://t.me/DataScienceM

Topic: Python Matplotlib – From Easy to Top: Part 3 of 6: Plot Customization and Styling

---

### 1. Why Customize Plots?

• Customization improves readability and presentation.
• You can control everything from fonts and colors to axis ticks and legend placement.

---

### 2. Customizing Titles, Labels, and Ticks

import matplotlib.pyplot as plt
import numpy as np

x = np.linspace(0, 10, 100)
y = np.sin(x)

plt.plot(x, y)
plt.title("Sine Wave", fontsize=16, color='navy')
plt.xlabel("Time (s)", fontsize=12)
plt.ylabel("Amplitude", fontsize=12)
plt.xticks(np.arange(0, 11, 1))
plt.yticks(np.linspace(-1, 1, 5))
plt.grid(True)
plt.show()

---

### 3. Changing Line Styles and Markers

plt.plot(x, y, color='red', linestyle='--', linewidth=2, marker='o', markersize=5, label='sin(x)')
plt.title("Styled Sine Curve")
plt.legend()
plt.grid(True)
plt.show()

Common styles:

• Line styles: '-', '--', ':', '-.'
• Markers: 'o', '^', 's', '*', 'D', etc.
• Colors: 'r', 'g', 'b', 'c', 'm', 'y', 'k', etc.

---

### 4. Adding Legends

plt.plot(x, np.sin(x), label="Sine")
plt.plot(x, np.cos(x), label="Cosine")
plt.legend(loc='upper right', fontsize=10)
plt.title("Legend Example")
plt.show()

---

### 5. Using Annotations

Annotations help highlight specific points:

plt.plot(x, y)
plt.annotate('Peak', xy=(np.pi/2, 1), xytext=(2, 1.2),
             arrowprops=dict(facecolor='black', shrink=0.05))
plt.title("Annotated Peak")
plt.show()

---

### 6. Customizing Axes Appearance

fig, ax = plt.subplots()
ax.plot(x, y)

# Remove top and right border
ax.spines['top'].set_visible(False)
ax.spines['right'].set_visible(False)

# Customize axis colors and widths
ax.spines['left'].set_color('blue')
ax.spines['left'].set_linewidth(2)

plt.title("Customized Axes")
plt.show()

---

### 7. Setting Plot Limits

plt.plot(x, y)
plt.xlim(0, 10)
plt.ylim(-1.5, 1.5)
plt.title("Limit Axes")
plt.show()

---

### 8. Using Style Sheets

Matplotlib has built-in style sheets for quick beautification.

plt.style.use('ggplot')

plt.plot(x, np.sin(x))
plt.title("ggplot Style")
plt.show()

Popular styles: seaborn, fivethirtyeight, bmh, dark_background, etc.

---

### 9. Creating Grids and Minor Ticks

plt.plot(x, y)
plt.grid(True, which='both', linestyle='--', linewidth=0.5)
plt.minorticks_on()
plt.title("Grid with Minor Ticks")
plt.show()

---

### 10. Summary

• Customize everything: lines, axes, colors, labels, and grid.
• Use legends and annotations for clarity.
• Apply styles and themes for professional looks.
• Small changes improve the quality of your plots significantly.

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### Exercise

• Plot sin(x) with red dashed lines and circle markers.
• Add a title, custom x/y labels, and set axis ranges manually.
• Apply the 'seaborn-darkgrid' style and highlight the peak with an annotation.

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#Python #Matplotlib #Customization #DataVisualization #PlotStyling

https://t.me/DataScienceM