
Ever wondered how mixing sounds is like mixing colors?
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Ever wondered how mixing sounds is like mixing colors?
Imagine you're mixing different musical notes to create a new harmony. Each note can be thought of as a wave, and when you combine them, they create a new wave pattern.
Think of each musical note as a unique wave. When you blend these waves together, you're essentially combining them. The new wave pattern is like a fingerprint of the original notes, showing how they interact.
Example
If you have two waves, one with peaks at 1-second intervals and another with peaks at 2-second intervals, combining them results in a wave pattern that repeats every 2 seconds, with peaks at 1-second intervals.
Remember this
Convolution helps us understand how different wave patterns combine to create new patterns.
Text adapted from Wikipedia, licensed under CC BY-SA 4.0.
convolution (f * g)(t) = ∫f(τ)g(t-τ)dτ
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mixup does: trains on convex combinations of pairs: x̃=λx_i+(1-λ)x_j
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