Translation and Fourier magnitude
Penguin learning project
The project uses 342 complete Palmer penguin records: 240 training-pool and 102 held-out rows. The selected training rows determine feature scaling and model parameters. Source CSV
This project trains weights with softmax, unlike the homepage lab, which uses nearest species averages. Same penguin measurements; different classification methods. Predictions can differ.
Signal transformations · Study signal transforms, scattering and their properties.
The project scales bill and flipper measurements using training-row means and scales; its feature vector has two entries.
Consider this concept alongside the project; its source assumptions may differ. These observations do not prove a theorem.
Input: 12 × 2; Held-out evaluation: 102 · #58 · 40.6 mm, 193 mm. Known answer: Adélie; Prediction: Adélie · [≈0.7383, ≈0.2444, ≈0.01737].
Used in these source sections: 7.1 Features that stay steady
The source explains that a translation changes Fourier phase but not its magnitude. This example uses a finite circular sequence and one discrete frequency.
An unchanged feature can ignore a change of position.
Source formula example
illustration · A finite circular discrete transform illustrates one frequency. The source statement concerns Fourier transforms of functions on real space; this example is not a proof.
Source formula example
This source example uses its own inputs and assumptions. Editing it does not change the project.
Edit a value or the code, then run the example. This is a finite demonstration, not a proof of the paper’s theorem.
This example’s data flow
Code changed. Reset to restore this example’s data flow.
You choose
input.shift= 1
Initial values in code
values=[1, 2, 0, 0]
Calculated here
Result expression: { originalMagnitude: magnitude(values), shiftedMagnitude: magnitude(moved) }
shift=input.shiftUses:input.shiftmoved=values.map((_, i) => values[(i - shift + values.length) % values.length])Uses:values,shift
Returns
originalMagnitude- ≈2.236
shiftedMagnitude- ≈2.236
Read numbers from input and return the result. JavaScript basics.
Result
Technical statement
Change the input and run the same code again. The displayed result uses the values shown above.
Source: Fourier modulus