AI Terms Dictionary

Definition

Gaussian refers to the normal distribution, a continuous probability distribution characterized by its mean and variance. In AI, it is extensively used in probabilistic modeling, Bayesian inference, and as a prior for weights in neural networks. Noise added to images or signals is often modeled as Gaussian noise. Understanding Gaussian distributions is essential for algorithms involving uncertainty estimation, optimization, and generative processes like Variational Autoencoders.

Summary

Relating to the normal distribution, a bell-shaped curve fundamental to statistics and noise modeling in AI.

Key Concepts

• Normal Distribution
• Mean
• Variance
• Probability Density

Use Cases

• Noise Modeling
• Bayesian Networks
• Weight Initialization

Code Example

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import numpy as np
# Generate 1000 samples from a standard Gaussian distribution
samples = np.random.normal(loc=0.0, scale=1.0, size=1000)

Related Terms

• Distribution
• Bell Curve
• Standard Deviation