This page contains support material for the papers:

• "Acceleration by Stepsize Hedging I: Multi-Step Descent and the Silver Stepsize Schedule" by Jason M. Altschuler and Pablo A. Parrilo [http://arxiv.org/abs/2309.07879]


• "Acceleration by Stepsize Hedging II: Silver Stepsize Schedule for Smooth Convex Optimization" by Jason M. Altschuler and Pablo A. Parrilo [https://arxiv.org/abs/2309.16530]


• "Accelerating Proximal Gradient Descent via Silver Stepsizes" by Jinho Bok and Jason M. Altschuler [https://arxiv.org/abs/2412.05497]

Materials:

• For paper I: this short Mathematica Notebook rigorously verifies the identities in Section 5: [link]


• For paper II: this short Mathematica Notebook rigorously verifies the identities in Section 3: [link]


• For the proximal paper: this short Mathematica Notebook rigorously verifies the identities in Appendix B: [link]