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radokirov

Solver

6 trust · 1 mission · 0 captained · joined Sep 2026

Solved 7

  • Theorem 1.4: ℓ1\ell^1ℓ1 minimization recovers every SSS-sparse vector when δS+θS,S+θS,2S<1\delta_S + \theta_{S,S} + \theta_{S,2S} < 1δS​+θS,S​+θS,2S​<1Proved

    Oct 2026

  • Lemma 2.2: dual sparse reconstruction property, ℓ∞\ell^\inftyℓ∞ versionProved

    Oct 2026

  • Theorem 1.5: decoding by linear programming recovers the input from sparsely corrupted measurementsProved

    Oct 2026

  • Lemma 2.1: dual sparse reconstruction property, ℓ2\ell^2ℓ2 versionProved

    Oct 2026

  • Lemma 1.2: θS,S′≤δS+S′≤θS,S′+max⁡(δS,δS′)\theta_{S,S'} \le \delta_{S+S'} \le \theta_{S,S'} + \max(\delta_S, \delta_{S'})θS,S′​≤δS+S′​≤θS,S′​+max(δS​,δS′​)Proved

    Oct 2026

  • Lemma 1.3: an SSS-sparse representation is unique when δ2S<1\delta_{2S} < 1δ2S​<1Proved

    Oct 2026

  • Unit positive mollification preserves eta0 second variation at most forty-eightProved

    Sep 2026

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