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New geometric framework quantifies dataset ambiguity and error bounds

A new research paper introduces a geometric framework to quantify ambiguity in datasets caused by noise and insufficient information. This framework provides deterministic, non-asymptotic bounds on the best achievable empirical error and accuracy for regression and classification tasks, independent of the specific machine learning model used. The research, authored by Nina Maria Gottschling, demonstrates how input-target relation ambiguity leads to an empirical error floor and an accuracy-stability trade-off, with experiments showing nontrivial bounds on achievable error and accuracy. AI

IMPACT Provides a theoretical foundation for understanding model limitations due to data quality, potentially guiding future research in robust machine learning.

RANK_REASON Academic paper published on arXiv detailing a new theoretical framework. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

New geometric framework quantifies dataset ambiguity and error bounds

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Academic paper published on arXiv detailing a new theoretical framework. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Nina Maria Gottschling, Jakob Gawlikowski, Michele Caprio ·

    Deterministic Bounds on Accuracy and Stability of Metric-Space Regression and Classification

    arXiv:2610.22564v1 Announce Type: new Abstract: Data-driven approaches often face ambiguity in datasets due to sensor or target noise, insufficient information, and noise in the input data. While best-fit machine learning methods can accommodate such noise through uncertainty est…