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New theory unifies computational hardness and randomness

By PulseAugur Editorial · [1 sources] ·

Researchers have developed a unified pseudoentropy characterization that strengthens the relationship between computational hardness and randomness. This new formulation applies to both uniform and nonuniform computational models and encompasses various entropy notions, including Shannon and min-entropy. A key technical advancement involves using weight-restricted calibration and computational indistinguishability, which leads to an exponential improvement in alphabet size dependence compared to previous methods. AI

IMPACT Establishes theoretical foundations for understanding computational randomness and hardness, potentially impacting future algorithm design.

RANK_REASON This is a research paper published on arXiv detailing theoretical computer science concepts. [lever_c_demoted from research: ic=1 ai=0.4]

Read on arXiv cs.LG →

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

New theory unifies computational hardness and randomness

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This is a research paper published on arXiv detailing theoretical computer science concepts. [lever_c_demoted from research: ic=1 ai=0.4]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Lunjia Hu, Salil Vadhan ·

    Generalized and Unified Equivalences between Hardness and Pseudoentropy

    arXiv:2507.05972v3 Announce Type: replace-cross Abstract: Pseudoentropy characterizations give quantitatively precise formulations of the relationship between computational hardness and computational randomness. We prove a unified pseudoentropy characterization that generalizes a…

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