Gaussian

Relating to or characterized by a Gaussian distribution, also known as a normal distribution. This distribution is a fundamental concept in probability theory and statistics, describing a symmetrical bell-shaped curve where data points cluster around the mean, with frequency decreasing equally on either side. Its properties allow for modelling and analysis of various phenomena where data tends to cluster around an average value and deviations from the average follow a predictable pattern. This distribution is ubiquitous in fields like science, finance, and engineering.

Gaussian meaning with examples

• Scientists analyzed the experimental data and found that the distribution of particle speeds followed a nearly Gaussian curve, suggesting random thermal motion. The researchers created a Gaussian filter to smooth the image data, removing high-frequency noise. The model used a Gaussian kernel to predict the future financial trends.
• The statistical analysis of the height data revealed a Gaussian distribution, confirming the expected population-level variation. The Gaussian process was effective at modelling environmental phenomena, accounting for uncertainty and stochasticity. The signal from the sensor followed a Gaussian pattern.
• The data fit a Gaussian profile, showing a symmetrical bell curve which represents the standard distribution in this particular experiment. Using a Gaussian function the scientist were able to process and filter out noise, and they improved clarity of the signal.
• In digital image processing, applying a Gaussian blur smooths the image, reducing noise and detail while preserving overall structure. Gaussian mixture models are useful for clustering data that may not be perfectly described by a single normal distribution. Using Gaussian process to optimize and fit the model.