# Quiz with answers — Gated DeltaNet and selective forgetting ### Question 1 Solve the worked-case variant: Increase α from 0.8 to 0.96 for an initial trace of 1 with no new write. Calculate the next two states and compare retention. - A. With α=0.8, a trace of value 1 becomes 0.8 then 0.64 without new writes. Correction β=0.5 then adds only half the observed error. - B. The Mamba parallel is conceptual. It does not imply Gated DeltaNet and Mamba are interchangeable. - C. A gate α_t ∈ [0,1], produced at every token, multiplies the state before the write: S′ = α_t·S_{t−1}. At 0.8 a trace follows 1 → 0.8 → 0.64, and its half-life is ln(0.5)/ln(0.8) ≈ 3.1 tokens. The model learns when to tighten or open the gate. - D. With α=0.8 the trace becomes 0.8 then 0.64. With α=0.96 it becomes 0.96 then 0.9216. Retention rises sharply, but α near 1 also slows forgetting of stale information. **Answer: D.** With α=0.8 the trace becomes 0.8 then 0.64. With α=0.96 it becomes 0.96 then 0.9216. Retention rises sharply, but α near 1 also slows forgetting of stale information. The correct answer executes the requested change and gives a checkable result; the other texts do not close this calculation or trace. --- ### Question 2 Which causal order correctly connects the first three stages of “Gated DeltaNet and selective forgetting”? - A. Write gate → Decay gate → Why forget - B. Why forget → Decay gate → Write gate - C. Decay gate → Why forget → Write gate - D. Why forget → Write gate → Decay gate **Answer: B.** Why forget → Decay gate → Write gate The chain follows the taught progression; reversing stages consumes a representation or state before it is produced. --- ### Question 3 If “Write gate” is removed, which diagnostic method is defensible? - A. Also change the data to amplify the difference. - B. Observe only the final output and invent the cause. - C. Keep the same input, predict the first output that depends on “Write gate,” then compare the before/after trace. - D. Conclude that the whole system fails before measuring. **Answer: C.** Keep the same input, predict the first output that depends on “Write gate,” then compare the before/after trace. One intervention and a prior prediction make the delta attributable to the removed mechanism. --- ### Question 4 Which verdict respects this session’s validity boundary? - A. The Mamba parallel is conceptual. It does not imply Gated DeltaNet and Mamba are interchangeable. - B. The mechanism guarantees accuracy, speed, and stability for every workload. - C. One successful example proves the whole architecture is superior. - D. The mechanism name alone is enough for a production choice. **Answer: A.** The Mamba parallel is conceptual. It does not imply Gated DeltaNet and Mamba are interchangeable. The correct answer bounds the conclusion; the others turn a local relation into a global guarantee. --- ### Question 5 Which evidence best matches the stated status of “Gated DeltaNet and selective forgetting”? - A. The route loads without an error. - B. Every learner opened the file. - C. The same result is assumed on every hardware target. - D. Established: the delta rule, exponential decay, and the half-lives computed here. Pedagogical: the α, β values and the 2×2 matrices of the trace. Reported: the exact gate choices of named models. **Answer: D.** Established: the delta rule, exponential decay, and the half-lives computed here. Pedagogical: the α, β values and the 2×2 matrices of the trace. Reported: the exact gate choices of named models. Product or mechanism evidence must remain attributed and measured; availability and completion do not prove value. --- ### Question 6 When should a simpler baseline be preferred to “Effective capacity”? - A. Never: the newest mechanism wins by default. - B. When a controlled test shows equivalent quality with lower memory, latency, or complexity. - C. As soon as one memory metric falls, regardless of quality. - D. As soon as the diagram contains fewer components. **Answer: B.** When a controlled test shows equivalent quality with lower memory, latency, or complexity. The choice depends on a measured trade-off on the real workload, not novelty or one isolated metric. --- ### Question 7 A learner gets the right result but cannot explain “Decay gate.” Which remediation is most useful? - A. Accept the answer because the final number is correct. - B. Provide the final result a second time. - C. Rebuild the first missing transformation, label its inputs and outputs, then test a neighboring case. - D. Change several variables and ask for an intuition. **Answer: C.** Rebuild the first missing transformation, label its inputs and outputs, then test a neighboring case. The remediation targets the first causal break and then requires transfer instead of rewarding a guessed result. --- ### Question 8 Which submission actually demonstrates the outcome “Compare with state-space principles.”? - A. A trace with starting data, transformations, observed result, boundary, and next experiment. - B. A list of terms without causal relations. - C. A screenshot without values or interpretation. - D. A confident claim without a baseline or threshold. **Answer: A.** A trace with starting data, transformations, observed result, boundary, and next experiment. The correct submission makes the reasoning reproducible and the verdict revisable by future measurement.