Page 2 of 8~112 min topic

Neural nets by building

Define the single-neuron trainer input contract

Page 2 hardens the boundary around the single-neuron logic-gate trainer so bad inputs fail before the interesting algorithm runs.

~14 min this pageData contract

1Learn the idea

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Define what may enter

The accepted input remains: binary input pairs, target gate outputs, learning rate, epochs. Keep parsing and normalization in functions that do not score, train, or call a model. That split lets a test fail the boundary without blaming the core logic. The user-facing decision stays: learn weights for a linearly separable gate by gradient steps you can print.

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Reject at the boundary

import math
def sigmoid(z): return 1/(1+math.exp(-max(-60,min(60,z))))
def forward(x,w,b): return sigmoid(sum(a*c for a,c in zip(x,w))+b)
print(round(forward((1,0),[.2,.2],0),3))

Expected evidence: a probability near 0.55. If the contract is silent on a bad value, later debugging will look like an algorithm bug when it is really a data bug.

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Keep transforms testable

Write one assertion for a neighboring valid input to the single-neuron trainer so tightening the boundary does not over-reject. Document field names and types the way a teammate would need them on day two of neural-nets-by-building—not as comments you plan to delete.

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Lab notebook: name the fields

List every field in AND gate truth table and mark each as required, optional, or forbidden. Required fields must fail loudly when missing; optional fields need defaults you can quote in a test; forbidden fields (secrets, raw PII, path escapes) must never be accepted silently. This list is the contract for the single-neuron trainer.

Add one sentence about encoding, units, or timezones if relevant to binary input pairs, target gate outputs, learning rate, epochs. Contracts that ignore units create “correct” programs that still ship wrong decisions when someone tries to learn weights for a linearly separable gate by gradient steps you can print.

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Worked judgment

Write the error string you want for the most likely bad input. Prefer ValueError('threshold out of range')-style messages over generic invalid input. The contract’s job is to make learning rate so large weights diverge, or claiming XOR success with one neuron harder to confuse with a model or algorithm bug later.

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Why this stage matters for the single-neuron trainer

At the data contract stage for neural-nets-by-building, the job is narrower than finishing a product demo. You are creating one progressive evidence piece about AND gate truth table that later pages inherit without redefining success. Keep that fixture small enough to inspect by hand, keep outputs copy-pasteable as text, and refuse to narrate this baseline as if it were a production SLA: untrained weight predictions on the gate table.

For this page specifically, success looks like malformed inputs rejected with field-named errors while still centering the user decision to learn weights for a linearly separable gate by gradient steps you can print. If you cannot point to a file, command, or assertion that proves that for the single-neuron trainer, stay on this page instead of advancing.

Glossary: deep learning · Glossary: gradient descent

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Before you start

Why this matters

Invent one malformed input that the single-neuron logic-gate trainer might accidentally accept. Predict the exception or rejection message. After you run the contract code, compare your prediction with the real failure text.

Check your understanding

Page assessment

Answer from memory. Completion is saved from this evidence, not from opening the next page.

1. Which malformed values die before core logic?
2. Can transform and prediction/search be tested separately?
3. Does the error name the violated field or shape?
4. Is the accepted input still exactly: binary input pairs, target gate outputs, learning rate, epochs?

All responses are required.