Downsampling strategies in Matplotlib - Step-by-Step Execution

Concept Flow - Downsampling strategies

Start with large dataset

↓

Choose downsampling method

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Random

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Select random

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points

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Create smaller dataset

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Plot or analyze downsampled data

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End

Start with a big dataset, pick a downsampling method (random, uniform, or aggregation), create a smaller dataset, then use it for plotting or analysis.

Execution Sample

Matplotlib

import numpy as np
import matplotlib.pyplot as plt

x = np.linspace(0, 10, 1000)
y = np.sin(x) + np.random.normal(0, 0.1, 1000)

# Downsample by taking every 10th point
x_ds = x[::10]
y_ds = y[::10]

plt.plot(x, y, label='Original')
plt.plot(x_ds, y_ds, label='Downsampled')
plt.legend()
plt.show()

This code creates a noisy sine wave with 1000 points, then downsamples it by taking every 10th point, and plots both original and downsampled data.

Execution Table

Step	Action	x length	y length	Downsampling method	Resulting x length	Resulting y length
1	Generate original data	1000	1000	None	1000	1000
2	Choose downsampling method	-	-	Uniform interval (every 10th)	-	-
3	Apply downsampling x[::10], y[::10]	1000	1000	Uniform interval	100	100
4	Plot original and downsampled data	1000	1000	Uniform interval	100	100
5	End	-	-	-	100	100

💡 Downsampling completed by selecting every 10th point, reducing data size from 1000 to 100 points.

Variable Tracker

Variable	Start	After Step 1	After Step 3	Final
x	empty	array of 1000 points	array of 1000 points	array of 1000 points
y	empty	array of 1000 points	array of 1000 points	array of 1000 points
x_ds	undefined	undefined	array of 100 points	array of 100 points
y_ds	undefined	undefined	array of 100 points	array of 100 points

Key Moments - 3 Insights

Why does x_ds have fewer points than x?

Because we selected every 10th point from x using slicing x[::10], reducing the total number of points from 1000 to 100 as shown in execution_table step 3.

Does downsampling change the original data arrays x and y?

No, the original arrays x and y remain unchanged. Downsampling creates new smaller arrays x_ds and y_ds, as shown in variable_tracker where x and y keep their original size.

Why might we downsample data before plotting?

Downsampling reduces the number of points to plot, making the plot faster and clearer without losing the overall pattern, as shown in execution_table step 4.

Visual Quiz - 3 Questions

Look at the execution_table at step 3, what is the length of the downsampled x array?

A 1000

B 10

C 100

D 500

💡 Hint

Check the 'Resulting x length' column at step 3 in the execution_table.

According to variable_tracker, what is the state of y_ds after step 1?

A undefined

B array of 1000 points

C array of 100 points

D empty

💡 Hint

Look at the 'After Step 1' column for y_ds in variable_tracker.

If we changed the downsampling to every 5th point, how would the resulting x length change in the execution_table?

A It would remain 100

B It would be 200

C It would be 50

D It would be 500

💡 Hint

Since original length is 1000, taking every 5th point means 1000/5 = 200 points.

Concept Snapshot

Downsampling strategies reduce data size for easier plotting or analysis.
Common methods:
- Random sampling: pick random points
- Uniform interval: pick every nth point
- Aggregation: group points and summarize (mean, max)
Use slicing or functions to create smaller datasets.
Downsampled data keeps main patterns but is faster to handle.

Full Transcript

Downsampling means making a big dataset smaller by picking fewer points. We start with a large dataset, then choose a method like picking every 10th point (uniform interval). This creates a smaller dataset that still shows the main pattern. The original data stays the same. Downsampling helps make plots faster and clearer. In the example, we made a noisy sine wave with 1000 points, then took every 10th point to get 100 points. We plotted both to compare. This process is shown step-by-step in the execution table and variable tracker. Key points are why the downsampled arrays are smaller, that original data is unchanged, and why downsampling is useful.