Life sciences · Preprint
arXiv · September 8, 2026
Raises a question worth testing. It does not answer one.
This preprint presents a Wasserstein transport-based framework for decomposing curriculum learning design choices and tests it systematically on 12 synthetic tasks with 33 difficulty axes. The work demonstrates that curriculum effects are strongly context-dependent, with no universal strategy, and that easy-to-hard ordering benefits hard-level performance independently of cumulative exposure—a mechanistic insight into one factor among many coupled choices.
Methodological framework with controlled synthetic experiments. Synthetic learning tasks across 12 task types and 33 difficulty axes; no human or real-world dataset subjects.. Intervention: Curriculum learning strategies including easy-to-hard ordering, matched exposure levels, endpoint smoothness, and variable pacing.. Compared with: Exposure-matched static sampling and context-specific baselines..
Easy-to-hard ordering improves hard-level performance relative to exposure-matched static sampling, showing benefit is not explained by cumulative exposure alone. Curriculum effects are strongly context-dependent: no single strategy dominates across tasks, difficulty axes, and budgets. Endpoint smoothness and pacing substantially affect where along the difficulty spectrum a curriculum is effective.
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A methodological framework paper using synthetic experiments to explore curriculum learning design choices; raises questions about what drives curriculum effects rather than testing a clinical or practical intervention on real data.
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Curriculum learning is governed by several coupled design choices---how difficulty is defined, how examples are ordered, how much exposure each level receives, and how quickly training moves across levels---making it hard to isolate what actually helps. We present Wasserstein curriculum paths, a simple transport-based framework that decouples these factors by representing curricula as trajectories of training distributions over discrete difficulty levels. Across a calibrated synthetic suite with 12 tasks and 33 difficulty axes, we use this framework to isolate the effects of ordering, matched exposure, endpoint smoothness, and pacing under fixed training budgets. We find that curriculum effects are strongly context-dependent: no single strategy dominates across tasks, difficulty axes, and budgets, and curricula mainly change where a fixed budget is spent most effectively. Within this framework, easy-to-hard ordering improves hard-level performance relative to exposure-matched static sampling, showing that the benefit is not explained by cumulative exposure alone. We further show that endpoint smoothness and pacing substantially affect where along the difficulty spectrum a curriculum is effective. Finally, we show that the same transport view naturally supports extensions to learned pacing through geometry and to structured difficulty spaces beyond one-dimensional orderings.
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