Information-Theoretic Lower Bounds

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  1. Recovery Guarantees for Posterior Sampling of One-Bit Compressed Sensing

    Oct 8, 2026Jing Ma, Yujia Wu, Zhaoqiang LiuCompressed SensingSample Complexity

  2. New Lower Bound and Upper Bounds on the Regret for Online Sparse Linear Regression

    Oct 8, 2026Xiaofeng Cao, Junfan Li, Langzhang Liang +2Linear RegressionMinimax Regret

  3. Structural Limits of the Information-Theoretic Uncertainty Decomposition

    Sep 30, 2026Jakob Lønborg Christensen, Christian F. Baumgartner, Morten Rieger Hannemose +2Aleatoric UncertaintyInformation-Theoretic Lower Bounds

  4. A Sharp Transition in Data Reconstruction under Differential Privacy

    Sep 29, 2026Max Cairney-Leeming, Simone Bombari, Marco MondelliAdversarial AttacksDifferential Privacy

  5. QAM: Quadratic-Accurate Checkpoint Merging via Sequential Consistency

    Sep 28, 2026Shihao Wang, Rui Kong, Xinran Chen +7Language Model MergingModel Merging

  6. When are bosonic Gaussian states classical to learn?

    Sep 22, 2026Senrui Chen, Antonio Anna Mele, Francesco Anna Mele +1Quantum State TomographyStatistical Learning Theory

  7. On the Information-Theoretic Limits of Latent-Space Watermarking Through Pretrained Generators

    Sep 21, 2026Jinwan Jeon, Minju Lee, Sung Hoon LimRobust WatermarkingInformation-Theoretic Lower Bounds

  8. Learning CNF Formulas from Uniform Random Solutions: Near-Tight Sample Complexity for Valiant's Algorithm

    Sep 14, 2026Weiming Feng, Yixiao Yu, Yiyao ZhangBoolean Function LearningSample Complexity

  9. Optimal Low-Rank Quantum State Tomography with Bounded-Sample Joint Measurements

    Sep 9, 2026Ashwin Nayak, Xingyu ZhouQuantum State TomographyInformation-Theoretic Lower Bounds

  10. Oracle Complexity of Stochastic Fixed-Point Equations with Nonexpansive Maps

    Sep 8, 2026Jelena Diakonikolas, Cristóbal Guzmán, David Martínez-RubioOracle ComplexityStochastic Approximation

  11. Speed Limit for Information Acquisition in Stochastic Learning Dynamics

    Sep 8, 2026Shuta Kobayashi, Andreas DechantNeural Network Training DynamicsInformation-Theoretic Lower Bounds

  12. A Fundamental Limit in Decentralized Decision-Making

    Sep 7, 2026Marco Carpentiero, Felice Scala, Vincenzo Matta +1ClassificationDistributed Inference

  13. Minimax bounds for watermarked and masked recursive discrete distribution estimation

    Aug 31, 2026Millen Kanabar, Michael GastparDataset WatermarkingMinimax Estimation

  14. Strengthening Recursive Constructions for Zero-Error Shannon Capacity

    Aug 31, 2026Ravi TandonCombinatorial OptimizationInformation-Theoretic Lower Bounds

  15. Quantum Multi-Armed Bandits and Linear Bandits: Lower Bounds and Algorithms

    Aug 14, 2026Maoli Liu, Zhuohua Li, John C. S. LuiMulti-Armed BanditsInformation-Theoretic Lower Bounds

  16. On the Structural Limits of Machine Learning Decision Systems: An Information-Theoretic, Interaction-Based, and Stochastic-Dynamical Perspective

    Aug 13, 2026Nestor R. Barraza, Gabriel PenaStochastic Linear Dynamical SystemsStatistical Learning Theory

  17. When Can Safe Controllers Adapt? Information before Commitment

    Jul 18, 2026Venkatesh SaligramaRL ExplorationOptimal Control

  18. Price of Fairness in Bandits: A Tight Minimax Characterization

    Jul 15, 2026Dhruv Sarkar, Soumyadeep Dutta, Sayak Ray ChowdhuryMulti-Armed BanditsMinimax Regret

  19. Watermark Forensics for Generative Models: An Information-Theoretic Perspective

    Jul 14, 2026Xiaoyu Li, Zheng Gao, Xiaoyan Feng +3Text WatermarkingLLM Watermarking