Deep learning
Define the two-layer XOR network input contract
Page 2 hardens the boundary around the two-layer XOR network so bad inputs fail before the interesting algorithm runs.
1Learn the idea
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Define what may enter
The accepted input remains: XOR truth table, hidden width, 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: show why a hidden layer is required for XOR while keeping the net tiny.
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Reject at the boundary
def relu(x): return max(0,x)
def forward(x):
h=[relu(x[0]-x[1]),relu(x[1]-x[0])]
return h, h[0]+h[1]
print(forward((1,0)))
Expected evidence: hidden (1, 0) and score 1. 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 two-layer XOR network so tightening the boundary does not over-reject. Document field names and types the way a teammate would need them on day two of deep-learning-basics—not as comments you plan to delete.
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Lab notebook: name the fields
List every field in XOR four-row 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 two-layer XOR network.
Add one sentence about encoding, units, or timezones if relevant to XOR truth table, hidden width, learning rate, epochs. Contracts that ignore units create “correct” programs that still ship wrong decisions when someone tries to show why a hidden layer is required for XOR while keeping the net tiny.
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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 vanishing updates from saturated activations, or reporting train accuracy only harder to confuse with a model or algorithm bug later.
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Why this stage matters for the two-layer XOR network
At the data contract stage for deep-learning-basics, the job is narrower than finishing a product demo. You are creating one progressive evidence piece about XOR four-row 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: single-neuron XOR attempt recorded as failing.
For this page specifically, success looks like malformed inputs rejected with field-named errors while still centering the user decision to show why a hidden layer is required for XOR while keeping the net tiny. If you cannot point to a file, command, or assertion that proves that for the two-layer XOR network, stay on this page instead of advancing.
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Before you start
Why this matters
Invent one malformed input that the two-layer XOR network might accidentally accept. Predict the exception or rejection message. After you run the contract code, compare your prediction with the real failure text.
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