• Why Julia is so fast?

  Summary and main concepts of the paper, Julia Dynamism and performance reconciled by design by Bezanson, Jeff, et al.

  7 min read   ·   July 1, 2023

  2023   ·   dynamic-languages,   just-in-time-compilation,   performance,   programming-languages,   type-inference     ·   sample-posts  

• Formulas of Brion, Lawrence and Varchenko on rational generating functions for cones.

  Summary and main concepts of the paper, Formulas of Brion, Lawrence, and Varchenko on rational generating functions for cones, by Beck, M., Haase, C., & Sottile, F. (2009).

  9 min read   ·   June 1, 2023

  2023   ·   Combinatorics,   Discrete-geometry     ·   sample-posts  

• Automatic Preconditioning by Limited Memory Quasi-Newton Updating

  Summary and main concepts of the paper Updating, Q.N., 1999. Automatic Preconditioning by Limited Memory.

  7 min read   ·   January 27, 2023

  2023   ·   optimization,   numerical-methods,   gradient-descent,   preconditioning     ·   sample-posts  

• Birth-Death process simulations and a Monte-Carlo dynamic algorithm (Gillespie)

  Development of a dynamic montecarlo algorithm for the process of Birth-Death.

  5 min read   ·   August 1, 2022

  2022   ·   Monte-Carlo,   numerical-methods,   simulation,   julia,   Gillespie     ·   sample-posts