MATH · IN · MODELS
methods / Theoretical / Analytical / Geometric analysis / Finite-lag transport tensor analysis

Finite-lag transport tensor analysis

Techniqueadvanced

Builds a source-centered transport tensor from pairs of a recurrent network's own hidden states separated by a fixed lag (X_t, X_{t+delta}), decomposing it exactly into a conditional-spread trace and a coherent-displacement trace plus an antisymmetric coordinate-circulation statistic -- quantifying how much a real trained RNN's own state-transition dynamics locally expand/contract and rotate, as a function of lag and training phase.

Used in (1 observation)

structure: Finite-Lag Transport Tensor · models: Custom Elman RNN (hidden size 64, repeat-copy task), Custom GRU (hidden size 64, repeat-copy task), Custom LSTM (hidden size 64, repeat-copy task), Custom GRU (hidden size 36, capacity-matched control, repeat-copy task) · paper: Finite-Lag Operator Geometry of Recurrent Representations