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Gated KalmaNet: conditioned test-time regression with bounded state

Contribution grade

Recurrent language-model memory · Human-designed research method or resource

Reference score55,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Maintained weighted key/value covariance statistics and solved regularized test-time regressions using Chebyshev iteration, adding adaptive regularization, input-dependent decay and chunk-wise kernels.

Scientific scope

Maintained weighted key/value covariance statistics and solved regularized test-time regressions using Chebyshev iteration, adding adaptive regularization, input-dependent decay and chunk-wise kernels. Kalman-inspired ridge optimality applies to the stated regression, not arbitrary language-model prediction. Finite solver iterations approximate the solution; conditioning, precision, state dimension and gating matter. Constant memory is in sequence length, not model width or batch size; inherited Kalman filtering, ridge regression and Chebyshev iteration are not claimed new.

Evidence

The linked original sources describe the stated contribution and its evidence limits. WRS has not independently rerun the experiments or certified a proof. Kalman-inspired ridge optimality applies to the stated regression, not arbitrary language-model prediction. Finite solver iterations approximate the solution; conditioning, precision, state dimension and gating matter. Constant memory is in sequence length, not model width or batch size; inherited Kalman filtering, ridge regression and Chebyshev iteration are not claimed new.

Contributors

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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