Papers/2608.23725
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Response Renormalization for Critical Deep Equilibrium Models

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gradient optimizationdeep learningequilibrium models
2608.23725
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3h ago

Abstract

The paper introduces Response Renormalization to improve the reliability of gradient-based optimization in Deep Equilibrium Models by controlling near-critical adjoint amplification.

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Core Claim

Response Renormalization effectively controls near-critical adjoint amplification, making parameter updates more reliable while preserving useful gradient information.

Method / Result

CMR and Phi-CMR yield test errors no more than five percent higher than models trained with exact implicit differentiation in over 98% of comparisons.

Limitations

The paper does not specify limitations or reproducibility concerns.

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