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Dynamical Isometry and a Mean Field Theory of RNNs: Gating Enables Signal Propagation in Recurrent Neural Networks

Paper summary

Uses mean-field and random-matrix analyses of recurrent networks at initialization. Vanilla networks have restrictive conditions for long signal propagation; gating broadens useful regimes. Nonlinear Jacobians depend on activation derivatives, so an orthogonal weight matrix alone does not establish dynamical isometry.

Relevance to the project

Assistant interpretation: recurrent gain depends on inputs, nonlinear operating points and the complete transition Jacobian. Gating is a comparison, not an adopted requirement.

Sequence modelingMemoryEfficient training

Reading is focused, not exhaustive; no independent replication. Focused full-text reading of sections 2–3 mean-field signal propagation, correlation/Jacobian discussion and selected orthogonal/gated initialization comparisons. No exhaustive supplement, derivation or experiment audit.

Source record

Reference ID
pmlr-chen18i
Archived version
Published ICML 2018, PMLR 80:873–882
Summary provenance
reference-library/papers/pmlr-chen18i/metadata.json · summary
Review status
focused primary full-text methods reading; not exhaustive critical review
Reading scope
Focused full-text reading of sections 2–3 mean-field signal propagation, correlation/Jacobian discussion and selected orthogonal/gated initialization comparisons. No exhaustive supplement, derivation or experiment audit.