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L2 Regularization

32 papers with code · 0 benchmarks · 0 datasets archive 2025-07-28

Methodology

See Weight Decay.

L₂ Regularization or Weight Decay, is a regularization technique applied to the weights of a neural network. We minimize a loss function compromising both the primary loss function and a penalty on the L₂ Norm of the weights:

L_(new)(w) = L_(original)(w) + λwᵀw

where λ is a value determining the strength of the penalty (encouraging smaller weights).

Weight decay can be incorporated directly into the weight update rule, rather than just implicitly by defining it through to objective function. Often weight decay refers to the implementation where we specify it directly in the weight update rule (whereas L2 regularization is usually the implementation which is specified in the objective function).

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Benchmarks archive 2025-07-28

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Most implemented papers archive 2025-07-28

30 shown of 32 papers with code (128 tagged with this task in all), ordered by repositories listed in the archive, not by stars (the archive holds no stars, so PwC's “Social” and “Latest” sorts cannot be reproduced). Papers without a page here are shown as plain text.

Syntology lines on 8 of the papers shown; no Syntology record for the others (a paper without an arXiv id cannot be joined to the graph, and absence from the graph layer is not a recorded non-run). “Ran” means the sample executed on a synthesized fixture, not that the paper's result was reproduced. Read from the graph 2026-09-24.

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