Original title: Mathematical Optimization and Advanced Algorithms for Few-Shot and Zero-Shot Visual Learning: An Optimization-Centered Review
Jie Li, Yubo Sun, Xun Du, Haonan Chen +1 · September 2026
Computer vision models often struggle when they must recognize items with few or no examples. People usually treat few-shot learning and zero-shot learning as completely separate tasks. This review looks at both as a single math problem: making predictions with missing or scarce class evidence. Instead of focusing only on model architectures, the authors break methods down into four steps. They track the available information, the estimated variables, the mathematical goals, and the solvers that calculate the answers. They found that no single method works best everywhere. Every choice involves a trade-off. For example, flexible updates cause unstable estimates, and relying on large pretrained systems makes it difficult to trace where evidence comes from. Ultimately, both fields are connected estimation problems. Future progress requires safer use of uncertain prior knowledge, label-free model selection, and stable, efficient adaptation.
You are baking a cake from a recipe that is missing half the ingredients. You have to improvise using what you have, but safe substitutions might not work perfectly and risky ones might fail entirely. Here, the missing ingredients are the class-specific evidence that models lack in few-shot and zero-shot learning. The improvisation choices map to the optimization strategies the review compares, revealing why some approaches work better in certain situations.
Researchers can now see why one method fails while another succeeds, by tracking the same four optimization coordinates across both few-shot and zero-shot settings. This means future systems won't just try random algorithms — they'll choose based on known trade-offs like estimator variance and representation bias. For anyone building AI that must learn from just a handful of images or unfamiliar categories, this framework offers a systematic way to diagnose and compare approaches.
The abstract doesn't explicitly state limitations, but as a conceptual review it does not introduce new algorithms or experimental comparisons. The trade-offs and priorities are based on qualitative analysis of existing literature, not quantitative benchmarks. The framework may not cover every recent approach, and the identified priorities are prospective, not validated experimentally.
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Mathematical Optimization and Advanced Algorithms for Few-Shot and Zero-Shot Visual Learning: An Optimization-Centered Review — Jie Li, Yubo Sun, Xun Du et al. — Mathematics — doi:10.3390/math14183407
Abstract licence: CC BY
Explanation generated by Synthesis from the abstract — it is not the original paper.