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New research details linear regression under adversarial data corruption

A new research paper published on arXiv explores the challenges of multivariate linear regression when data coordinates are either missing or corrupted by an adversary. The study, authored by Thanasis Pittas, establishes new information-theoretic lower bounds for estimation error in these scenarios. Notably, the paper demonstrates that the optimal error rate is the same whether data is missing or corrupted, suggesting that knowing the locations of corrupted data does not offer a significant advantage in improving regression accuracy. AI

IMPACT This research provides theoretical insights into robust data handling for machine learning models, potentially influencing future algorithm development for real-world, imperfect datasets.

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

Read on arXiv stat.ML →

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

New research details linear regression under adversarial data corruption

COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · Ilias Diakonikolas, Jelena Diakonikolas, Daniel M. Kane, Jasper C. H. Lee, Thanasis Pittas ·

    Linear Regression under Missing or Corrupted Coordinates

    arXiv:2509.19242v2 Announce Type: replace-cross Abstract: We study multivariate linear regression under Gaussian covariates in two settings, where data may be erased or corrupted by an adversary under a coordinate-wise budget. In the incomplete data setting, an adversary may insp…