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Fractional Calculus for Federated Learning (FC4FL)

Fractional Calculus for Federated Learning (FC4FL)

News:

  •  
  • 09/09/2025. Mohammad Partohaghighi's Ph.D. committee formed. Thesis title: "Smart Federated Learning and Unlearning: Theoretical Framework, Benchmark Studies, and Applications,"
  • 09/09/2025. Journal paper published.
    • Mohammad Partohaghighi, Roummel Marcia, YangQuan Chen. "Effective Dimension Aware  Fractional-Order Stochastic Gradient Descent for Convex Optimization Problems"  Vol. 69 No. 3 (2025): Uzbek Mathematical Journal https://doi.org/10.29229/uzmj.2025-3-15

  • 09/09/2025. Journal paper accepted. Mohammad Partohaghighi, Roummel Marcia, YangQuan Chen. Roughness-Informed Machine Learning – A Call for Fractal and Fractional Calculi. [JIIXD_InteCom-D-25-00060] To be published in: Journal of Information and Intelligence (Sept. 2025) [Local PDF] [DOI: tba]

  • 08/19/2025. ASME IDETC/CIE 2025 MESA 2025. IDETC-CIE2025-169054. Mohammad Partohaghighi1, Roummel Marcia2, and YangQuan Chen1,3 TAIL-INDEX-AWARENESS IN FRACTIONAL ORDER STOCHASTIC GRADIENT DESCENT. Anaheim, CA. local pdf. presentation Youtube link. slides pdf

  • 3/31/2025. Seminar by Mohammad: "Bridging Fractional-Order Gradient Descent and Federated Averaging Learning with Tail-Index Awareness and Weight Matrix Spectral Analysis" 
  • 3/17/2025. ASME IDETC MESA 2025 FDTA25 (since 2003) "Tail-Index-Awareness in  Fractional Order Stochastic Gradient Descent" by Mohammad Partohaghighi, Roummel Marcia, and YangQuan Chen
  • 3/16/2025. IEEE CDC25 "More Optimal Fractional-Order Stochastic Gradient Descent for Non-Convex Optimization Problems" under review (8 pages, arXiv link  https://arxiv.org/abs/2505.02985) by Mohammad Partohaghighi, Roummel Marcia , and YangQuan Chen
  • 3/17/2025. arXiv PDF (8 pages). (arXiv ID=https://arxiv.org/abs/2503.13764) "Effective Dimension Aware Fractional-Order Stochastic Gradient Descent for Convex Optimization Problems" by Mohammad Partohaghighi, Roummel Marcia , and YangQuan Chen (L-CSS+CDC25) [5/7/25 revised, also in arXiv]
  • 2/10/25. Seminar by Mohammad: "Deep Learning With Heavy Tailed-Based Differential Privacy" (90 min. Youtube link tbd)
  • 2/12/25. FC4FL webpage created.

People:

  • Mohammad Partohaghighi, EECS Ph.D. student

  • Shiang Cao, ME Ph.D. student
  • Justus Nwoke, ME Ph.D. candidate

Papers:

  • ​Mohammad Partohaghighi, Roummel Marcia, YangQuan Chen. "Effective Dimension Aware  Fractional-Order Stochastic Gradient Descent for Convex Optimization Problems"  Vol. 69 No. 3 (2025): Uzbek Mathematical Journal https://doi.org/10.29229/uzmj.2025-3-15

  • Mohammad Partohaghighi, Roummel Marcia, YangQuan Chen. Roughness-Informed Machine Learning – A Call for Fractal and Fractional Calculi. [JIIXD_InteCom-D-25-00060] To be published in: Journal of Information and Intelligence (Sept. 2025) [Local PDF] [DOI: tba]

  • Mohammad Partohaghighi1, Roummel Marcia2, and YangQuan Chen1,3 TAIL-INDEX-AWARENESS IN FRACTIONAL ORDER STOCHASTIC GRADIENT DESCENT. Anaheim, CA. local pdf. presentation Youtube link. slides pdf

Resources:

  • 9/9/25. Federated unlearning and fractional calculus 

Created 2/12/25 by Dr YangQuan Chen, last updated: 

Mohammad Partohaghighi