Gated KalmaNet uses exact Kalman gain computation with adaptive gating and Chebyshev iteration to improve SSM performance on long-context tasks over prior approximations like DeltaNet.
⟨kl, xt⟩ dL dqt +⟨k l, dL dqt ⟩xt + 2a ||Ht||F ⟨xt, dL dqt ⟩Htkl # (50) Or equivalently, collecting the terms that are linear in the gradient: dL dkl =− X t≥l t−1Y i=l γi !
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Gated KalmaNet: A Fading Memory Layer Through Test-Time Ridge Regression
Gated KalmaNet uses exact Kalman gain computation with adaptive gating and Chebyshev iteration to improve SSM performance on long-context tasks over prior approximations like DeltaNet.