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Initial Guessing Bias: How Untrained Networks Favor Some Classes
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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
- Theory shows that for ReLU MLPs with Kaiming init and zero biases, class-fraction distributions stay wide, while linear networks concentrate at 1/2 (IGB absent).
- Max pooling with large kernel size and input offset can drive the variance ratio to infinity, i.e. strong IGB where all data go to one class.
- Accuracy upper bound: Accuracy(t) <= 1 - (max_c fraction_c - 1/K), so strong IGB limits achievable accuracy early in training.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use ReLU instead of a linear activation | Single hidden-layer MLP at initialization · Gaussian random data | spread of the class 0 guess fraction across initializations | Mixed |
| Add max pooling after ReLU | Single hidden-layer MLP at initialization · Gaussian random data | concentration of predictions on one class | Hurt |
| Shift the input distribution with a nonzero offset | ReLU MLP at initialization · Centered Gaussian data before preprocessing | initial guessing bias | Helped |
| Increase max-pooling kernel size | ReLU MLP at initialization · Centered Gaussian data | initial guessing bias | Helped |
| Increase network depth | MLP at initialization · Centered Gaussian data without pooling or preprocessing offset | initial guessing bias | Mixed |
| Use an antisymmetric activation with zero-centered data | MLP at initialization · Zero-centered data | initial guessing bias | Helped |
| Shift the ReLU function appropriately | MLP at initialization · Zero-centered data | initial guessing bias | Helped |
| Use structured real data rather than unstructured random data | Untrained models across practical architectures · Real datasets | initial guessing bias | Hurt |
| Increase the level of initial guessing bias | Models during training · Balanced datasets | time to reabsorb the bias | Hurt |
| Increase the level of initial guessing bias | Models during training · Balanced datasets | training performance | Hurt |
Surprising findings
- Symmetry between classes is preserved in ensemble average, yet a single realization is strongly biased, so the observable does not self-average.
- Network depth cannot initiate IGB but amplifies it when already present.
Limitations
- Main theory uses infinite-width limit and i.i.d. random data; finite-size and real-data effects are treated empirically.
- Impact of IGB on final generalization is not fully characterized and is described as data- and architecture-dependent.
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
Closest papers by meaning
- When Bias Helps Learning: Bridging Initial Prejudice and Trainability (ICLR 2026 · similarity 0.94)
- Simplicity Bias and Optimization Threshold in Two-Layer ReLU Networks (ICML 2025 · similarity 0.87)
- Feature Averaging: An Implicit Bias of Gradient Descent Leading to Non-Robustness in Neural Networks (ICLR 2025 · similarity 0.86)
- Bias of Stochastic Gradient Descent or the Architecture: Disentangling the Effects of Overparameterization of Neural Networks (ICML 2024 · similarity 0.86)
- If You Want to Be Robust, Be Wary of Initialization (NeurIPS 2024 · similarity 0.86)
- Simplicity Bias in Overparameterized Machine Learning (AAAI 2024 · similarity 0.86)
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