Alexandria Library

A curated collection of awesome articles

Here are some ressources related to Mathematics, Optimization, Programming. Hoping you will find learning material, alternative tools or just some interesting stuff.

Home > Programming, Machine Learning, Quan... > Mathematics, Algorithms, Cryptograp... > Mathematics, Signal Processing, Lin... > Mathematics, Optimization, Programm...

Articles

Optimization Without Derivatives: Prima Fortran Version and Inclusion in SciPy
See discussion (80 comments, 169 points) - Archive
Use Gröbner bases to solve polynomial equations
See discussion (49 comments, 145 points) - Archive
Matrix Calculus: Calculate derivatives of matrices
See discussion (46 comments, 165 points) - Archive
Maxima: A computer algebra system written in Common Lisp
See discussion (66 comments, 267 points) - Archive
A simple guide to quadratic voting
See discussion (55 comments, 83 points) - Archive
Differentiable programming from scratch
See discussion (107 comments, 196 points) - Archive
Regularized Newton Method with Global $O(1/k^2)$ Convergence
See discussion (103 comments, 235 points) - Archive
An Introduction to Lagrange Multipliers
See discussion (10 comments, 120 points) - Archive
Poisson's Equation
See discussion (159 comments, 766 points) - Archive
Maxima – A Computer Algebra System built with Lisp
See discussion (64 comments, 173 points) - Archive
Breakthrough in inverse Laplace transform procedures
See discussion (98 comments, 233 points) - Archive
Quadratic Voting
See discussion (53 comments, 124 points) - Archive
Monte Carlo Geometry Processing
See discussion (16 comments, 111 points) - Archive
AbstractAlgebra: Computer algebra package for Julia language
See discussion (16 comments, 126 points) - Archive
Fast Differentiable Sorting and Ranking
See discussion (41 comments, 263 points) - Archive
Using mixed integer programming to assign air cargo to flights
See discussion (56 comments, 199 points) - Archive
Solving a linear optimization problem on incentive allocation
See discussion (22 comments, 115 points) - Archive
Vickrey–Clarke–Groves Auction
See discussion (34 comments, 82 points) - Archive
Fun with compute shaders and fluid dynamics
See discussion (12 comments, 141 points) - Archive
Option Pricing with Fourier Transform and Exponential Lévy Models [pdf]
See discussion (19 comments, 96 points) - Archive
Constraint Solver (2015)
See discussion (23 comments, 109 points) - Archive
PyTorch for Scientific Computing: Quantum Mechanics Example Part 2
See discussion (17 comments, 102 points) - Archive
Iterative methods done right (life's too short to write for-loops)
See discussion (27 comments, 111 points) - Archive
The limitations of gradient descent as a principle of brain function
See discussion (15 comments, 119 points) - Archive
Show HN: An algorithm for smoothly filling holes in 3D meshes
See discussion (18 comments, 104 points) - Archive
Matrix Calculus
See discussion (51 comments, 408 points) - Archive
A Comparison of Differential Equation Solver Suites
See discussion (39 comments, 150 points) - Archive
How to Escape Saddle Points Efficiently
See discussion (38 comments, 144 points) - Archive
Why Momentum Works
See discussion (95 comments, 503 points) - Archive
Rigging elections with integer linear programming
See discussion (21 comments, 91 points) - Archive
Symbolic mathematics on Linux
See discussion (71 comments, 209 points) - Archive
Understanding gradient descent
See discussion (30 comments, 126 points) - Archive
Linear Programming: How Does It Work?
See discussion (57 comments, 200 points) - Archive
Surface-Only Liquids
See discussion (12 comments, 90 points) - Archive
Interactive constraint solving in Haskell
See discussion (11 comments, 113 points) - Archive
Chebyshev Approximation
See discussion (60 comments, 204 points) - Archive
Functional Differential Geometry (2012) [pdf]
See discussion (38 comments, 155 points) - Archive
The perfect shape
See discussion (21 comments, 99 points) - Archive
A New Way To Solve Linear Equations (over finite fields)
See discussion (32 comments, 118 points) - Archive
Announcing Wolfram SystemModeler
See discussion (33 comments, 167 points) - Archive
Translation and accelerated solving of differential equations on GPU platforms
See discussion (32 comments, 112 points) - Archive
Building an LLM from Scratch: Automatic Differentiation (2023)
See discussion (17 comments, 355 points) - Archive
Nonlinearsolve.jl: Fast and Robust Solvers for Nonlinear Equations in Julia
See discussion (35 comments, 156 points) - Archive
Mathematical Optimization for Cargo Ships
See discussion (152 comments, 324 points) - Archive
Chebyshev approximation and how it can help (2012)
See discussion (19 comments, 140 points) - Archive