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  "title": "Reproduction: MoSSP: A Momentum-Based Single-Loop Stochastic Penalty Method for Nonconvex Constrained DC-regularized Optimization",
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  "paper": {
    "arxiv_id": "2605.29635"
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  "updated_at": "2026-07-31T12:14:13+00:00",
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    "title": "Reproduction: MoSSP: A Momentum-Based Single-Loop Stochastic Penalty Method for Nonconvex Constrained DC-regularized Optimization",
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    "children": [
      {
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        "title": "Executive summary",
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      {
        "slug": "claim-1-o-epsilon-4-oracle-complexity-mossp-p",
        "title": "Claim 1: O(epsilon^-4) oracle complexity (MoSSP-P)",
        "file": "pages/claim-1-o-epsilon-4-oracle-complexity-mossp-p/page.md",
        "children": []
      },
      {
        "slug": "claim-2-o-epsilon-3-oracle-complexity-mossp-r",
        "title": "Claim 2: O(epsilon^-3) oracle complexity (MoSSP-R)",
        "file": "pages/claim-2-o-epsilon-3-oracle-complexity-mossp-r/page.md",
        "children": []
      },
      {
        "slug": "claim-3-first-single-loop-complexity-results",
        "title": "Claim 3: First single-loop complexity results",
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      },
      {
        "slug": "claim-4-mossp-outperforms-spdc-and-salm",
        "title": "Claim 4: MoSSP outperforms SPDC and SALM",
        "file": "pages/claim-4-mossp-outperforms-spdc-and-salm/page.md",
        "children": []
      },
      {
        "slug": "conclusion",
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