Sliding a filter across the input. A shared kernel forms a weighted sum at each image location.
6
yᵢⱼ = Σᵤᵥ Kᵤᵥ xᵢ₊ᵤ,ⱼ₊ᵥ
K is fixed during operating and adjusted during fitting.
Attention. Query–key products set the weights applied to value vectors.
7
Attention(Q, K, V) = softmax(QKᵀ / √dₖ)V
Relation weights depend on the input even when projection parameters remain fixed.
Carrying a state forward. A state-space recurrence carries a state between readings.
13
hₜ = Āhₜ₋₁ + B̄xₜ yₜ = Chₜ
S4 uses structured state-space parameters. Selective variants make parts of the update input-dependent.13,14
Intervention. do(X = x) replaces the structural assignment for X and removes its incoming causal arrows.
18
Xᵢ = fᵢ(paᵢ, Uᵢ) → X = x
The asserted graph supplies the causal structure.
Search and sampling. Temporal-difference updates alter value estimates. Reverse diffusion transforms noise through successive conditional distributions.
22,27