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Position: Lottery Tickets Do Not Explain Overparameterization. How About Escape Dimensions?

NeurIPS 2026 · Optimization › Implicit bias and generalization · approach: Stability-based generalization analysis

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Position paper arguing that the lottery ticket analogy is misleading for explaining overparameterization and proposing escape dimensions as an alternative explanation.

Problem

Overparameterized neural networks are often explained via the lottery ticket hypothesis, which suggests larger networks succeed by containing well-initialized subnetworks; the paper argues this explanation is misleading.

Approach

Argues that subnetworks cannot be treated in isolation as the lottery analogy implies, and proposes escape dimensions as a better framework for understanding why overparameterization helps.

Experimental setup

Builds on: lottery ticket hypothesis

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