Methods › General › Parameter Norm Penalties › L1 Regularization

L1 Regularization

introduced 1986 90 papers tagged archive 2025-07-28

archive 2025-07-28 Description, source and code snippet are the archive's method entry.

L₁ Regularization 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 L₁ Norm of the weights:

L_(new)(w) = L_(original)(w) + λ||w||₁

where λ is a value determining the strength of the penalty. In contrast to weight decay, L₁ regularization promotes sparsity; i.e. some parameters have an optimal value of zero.

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Papers archive 2025-07-28

30 shown of 90, newest first. Repository counts are the archive's code-links table. A Syntology line states what Syntology ran from that paper's harvested code; it is per sample and not a correctness claim.

Tasks archive 2025-07-28

20 shown of 120 tasks the archive attaches to papers tagged with this method, by distinct papers. A task without a page in the catalog is plain text.

TaskPapers
Representation Learning8
Language Modelling7
Language Modeling6
feature selection6
L2 Regularization4
Speech Synthesis4
Text to Speech4
text-to-speech4
BIG-bench Machine Learning3
Feature Engineering3
Image Segmentation3
Medical Image Segmentation3
Object Detection3
Self-Supervised Learning3
Semantic Segmentation3
Speech Recognition3
Time Series3
Time Series Analysis3
Translation3
object-detection3

Usage over time archive 2025-07-28

Papers per year tagged with L1 Regularization: 2010 to 2025, peak 14 14 0 2010: 1 paper 2010 2011: 1 paper 2012: 0 papers 2012 2013: 0 papers 2014: 0 papers 2014 2015: 1 paper 2016: 2 papers 2016 2017: 2 papers 2018: 4 papers 2018 2019: 14 papers 2020: 10 papers 2020 2021: 12 papers 2022: 8 papers 2022 2023: 9 papers 2024: 14 papers 2024 2025: 12 papers 2025
Papers per year the archive tags with this method, by the paper's archive date (90 dated). Bars are counts, not a trend claim.

Components: the archive holds no method-to-method composition, so PwC's Components table cannot be rebuilt; the Papers list carries no Results column for the same reason (the archive does not join its leaderboard rows to method tags).

Categories archive 2025-07-28

Parameter Norm PenaltiesRegularization

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