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Online Normalization

3 papers tagged archive 2025-07-28

Introduced by Vitaliy Chiley et al. in Online Normalization for Training Neural Networks

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

Online Normalization is a normalization technique for training deep neural networks. To define Online Normalization. we replace arithmetic averages over the full dataset in with exponentially decaying averages of online samples. The decay factors α_f and α_b for forward and backward passes respectively are hyperparameters for the technique.

We allow incoming samples xₜ, such as images, to have multiple scalar components and denote feature-wide mean and variance by μ(xₜ) and σ²(xₜ). The algorithm also applies to outputs of fully connected layers with only one scalar output per feature. In fact, this case simplifies to μ(xₜ) = xₜ and σ(xₜ) = 0. Denote scalars μₜ and σₜ to denote running estimates of mean and variance across all samples. The subscript t denotes time steps corresponding to processing new incoming samples.

Online Normalization uses an ongoing process during the forward pass to estimate activation means and variances. It implements the standard online computation of mean and variance generalized to processing multi-value samples and exponential averaging of sample statistics. The resulting estimates directly lead to an affine normalization transform.

yₜ = (xₜ - μₜ₋₁)/(σₜ₋₁)

μₜ = α_fμₜ₋₁ + (1-α_f)μ(xₜ)

σ²ₜ = α_fσ²ₜ₋₁ + (1-α_f)σ²(xₜ) + α_f(1-α_f)(μ(xₜ) - μₜ₋₁)²

PaperSource

Papers archive 2025-07-28

3 shown of 3, 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

14 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
Image Classification2
All1
Automatic Speech Recognition1
Automatic Speech Recognition (ASR)1
General Classification1
Image Segmentation1
Language Modeling1
Language Modelling1
Semantic Segmentation1
Speech Enhancement1
Speech Recognition1
Stochastic Optimization1
image-classification1
speech-recognition1

Usage over time archive 2025-07-28

Papers per year tagged with Online Normalization: 2019 to 2021, peak 1 1 0 2019: 1 paper 2019 2020: 1 paper 2020 2021: 1 paper 2021
Papers per year the archive tags with this method, by the paper's archive date (3 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

Normalization

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