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Initial Guessing Bias: How Untrained Networks Favor Some Classes

ICML 2024 · Architectures and efficiency › RNNs and normalization · approach: Representation geometry and collapse · 1 citations (OpenAlex)

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Theoretically and empirically shows that untrained DNN architecture and input preprocessing can make an initialized network assign most or all inputs to a single class ("Initial Guessing Bias"), via node symmetry breaking in infinite-width MLPs with random data.

Problem

Untrained neural networks can systematically assign predictions to one class at initialization even without explicit biases; the role of architecture and data preprocessing in this initial predictive bias is unexplored.

Approach

Defines Initial Guessing Bias (IGB) and shows, via an infinite-width analysis that averages over data first and then weights, that node symmetry breaking caused by nonlinearities (ReLU, max pooling), input offsets, and depth produces class imbalance at initialization; the variance ratio gamma quantifies IGB.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use ReLU instead of a linear activationSingle hidden-layer MLP at initialization · Gaussian random dataspread of the class 0 guess fraction across initializationsMixed
Add max pooling after ReLUSingle hidden-layer MLP at initialization · Gaussian random dataconcentration of predictions on one classHurt
Shift the input distribution with a nonzero offsetReLU MLP at initialization · Centered Gaussian data before preprocessinginitial guessing biasHelped
Increase max-pooling kernel sizeReLU MLP at initialization · Centered Gaussian datainitial guessing biasHelped
Increase network depthMLP at initialization · Centered Gaussian data without pooling or preprocessing offsetinitial guessing biasMixed
Use an antisymmetric activation with zero-centered dataMLP at initialization · Zero-centered datainitial guessing biasHelped
Shift the ReLU function appropriatelyMLP at initialization · Zero-centered datainitial guessing biasHelped
Use structured real data rather than unstructured random dataUntrained models across practical architectures · Real datasetsinitial guessing biasHurt
Increase the level of initial guessing biasModels during training · Balanced datasetstime to reabsorb the biasHurt
Increase the level of initial guessing biasModels during training · Balanced datasetstraining performanceHurt

Surprising findings

Limitations

Experimental setup

Datasets: random i.i.d. Gaussian data real image datasets (binary and multi-class)

Metrics: fraction of points classified per class accuracy variance ratio gamma

Baselines: MLP-Mixer linear activation network

Builds on: Kaiming initialization MLP-Mixer

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