Indices in a finite range
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.
Sets and notation · Describe domains, indices and membership.
Project vectors have two features; the training matrix has n rows and two columns. Mathematical tools may operate on these values when their assumptions apply.
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: 1.2.2 Can the network express the answer? · 3.2 Simple pieces, many layers · 3.3 Other ways to measure possibility · More source sections
An index in [n] is one of the integers 1 through n.
Index ranges identify entries in a finite collection.
Source formula example
illustration · This enumerates an example range of length three.
Symbols
- Integer indices.
- Integer bounds specified by the surrounding expression.
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.
Initial values in code
n=3
Calculated here
Result expression: { n, indices: Array.from({ length: n }, (_, i) => i + 1) }
Returns
n- 3
indices- array (3 items): [1, 2, 3]
Read numbers from input and return the result. JavaScript basics.
Result
Technical statement
The numerical values are invented. This enumerates an example range of length three.
Source: Inline notation