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L2 Regularization

See Weight Decay.

$L_{2}$ 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 $L_{2}$ Norm of the weights:

$$L_{new}\left(w\right) = L_{original}\left(w\right) + \lambda{w^{T}w}$$

where $\lambda$ 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).

Papers

Showing 5175 of 128 papers

TitleStatusHype
Gram Regularization for Multi-view 3D Shape Retrieval0
Guidelines for the Regularization of Gammas in Batch Normalization for Deep Residual Networks0
Guiding Teacher Forcing with Seer Forcing for Neural Machine Translation0
Implicit Filter Sparsification In Convolutional Neural Networks0
Linking Neural Collapse and L2 Normalization with Improved Out-of-Distribution Detection in Deep Neural Networks0
L2 Regularization versus Batch and Weight Normalization0
Large Scale Evolution of Convolutional Neural Networks Using Volunteer Computing0
Learning in Log-Domain: Subthreshold Analog AI Accelerator Based on Stochastic Gradient Descent0
Learning Sparse Low-Precision Neural Networks With Learnable Regularization0
Low-rank bias, weight decay, and model merging in neural networks0
Maintaining Plasticity in Continual Learning via Regenerative Regularization0
Maximum margin learning of t-SPNs for cell classification with filtered input0
Multi-branch fusion network for hyperspectral image classification0
Multimodal Bearing Fault Classification Under Variable Conditions: A 1D CNN with Transfer Learning0
On Implicit Filter Level Sparsity in Convolutional Neural Networks0
On sparse regression, Lp-regularization, and automated model discovery0
On the utility and protection of optimization with differential privacy and classic regularization techniques0
Overcoming catastrophic forgetting in neural networks0
Parkinson's Disease Diagnosis Through Deep Learning: A Novel LSTM-Based Approach for Freezing of Gait Detection0
Perturbation of Deep Autoencoder Weights for Model Compression and Classification of Tabular Data0
Pricing Football Players using Neural Networks0
Probabilistic fine-tuning of pruning masks and PAC-Bayes self-bounded learning0
Recurrent Stochastic Configuration Networks with Hybrid Regularization for Nonlinear Dynamics Modelling0
Regularisation Can Mitigate Poisoning Attacks: A Novel Analysis Based on Multiobjective Bilevel Optimisation0
Regularization techniques for fine-tuning in neural machine translation0
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