Probably Approximately Precision and Recall Learning

Probably Approximately Precision and Recall Learning

🎙 Yishay Mansour 👥 75K 📅 May 27, 2026 ⏱ 34 min 👁 779 📄 expert opinion 🧭 2026-08-03
Available in: English (current) Français

Keywords

precisionrecallPAC learningsample complexityrealizable setting

Summary

The talk, given by Yishay Mansour at the Simons Institute, addresses the problem of learning with precision and recall objectives in a PAC framework. Mansour introduces a model where the goal is to predict a set of relevant items for each user, and the loss is the average of precision and recall errors. He highlights the challenges: ERM is useless because the complete graph is always consistent, and unbiased estimation is impossible due to the one-sided nature of the data (only positive examples are observed). He discusses the realizable setting, where there exists a perfect hypothesis, and outlines sample complexity results that depend on the target precision and recall parameters, but not on the number of nodes or edges. The talk is part of a workshop celebrating Avrim Blum’s birthday, and Mansour includes personal anecdotes and historical context. The presentation is technical, aimed at an audience of theoretical computer scientists, and concludes with a discussion of open problems and future directions.

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Critical Evaluation

The talk presents a novel and rigorous formalization of precision-recall learning, a topic of practical importance in recommendation systems and information retrieval. Mansour, a distinguished researcher, provides a clear motivation and carefully defines the learning model, emphasizing the one-sided nature of the data. The technical content is solid, building on PAC learning theory, and the analysis of sample complexity is a significant contribution. However, the presentation is informal and assumes a high level of familiarity with the field, which may limit accessibility. The talk does not include a full proof of the results, but rather sketches the main ideas, which is typical for a workshop presentation. The sources cited are limited to the Simons Institute page, and no external references are provided, which reduces the verifiability of the claims. The adéquation between the title and content is excellent, as the talk directly addresses the learning of precision and recall objectives. The inclusion of personal anecdotes and historical context adds a human touch but does not detract from the scientific value. Overall, the talk is a valuable contribution to the field, though it would benefit from more detailed references and a more structured presentation of the technical results.

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Title / Content Match

The title accurately reflects the content, which focuses on learning with precision and recall objectives in a probably approximately correct framework.

Quality & Reliability

8/10

Talk by a leading learning theorist at a prestigious institute, presenting a formal model for precision-recall learning with rigorous analysis. The content is technical and builds on established PAC learning theory. The presentation is informal but the underlying work is solid, though not peer-reviewed in this format.

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Contribution & Novelties

The talk introduces a novel PAC learning framework for precision and recall objectives, addressing a gap in the literature where these metrics are often used heuristically. The formal model and sample complexity results are original contributions.

Pour aller plus loin :

66 words

Radar Profile

The radar profile shows high scores in technical level and information quality, reflecting the advanced nature of the talk. The quantity of information is also high, but the reliability score is slightly lower due to the informal presentation and lack of external references.

Reliability 8/10