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  • mathematicskit.abstract_algebra
    • Group actions
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    • Finite fields
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    • Homomorphisms
    • Polynomial ring arithmetic
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    • Reverse-mode autodiff
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    • Counting
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  • mathematicskit.fractals_chaos
    • Box-counting dimension
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  • mathematicskit.graph_theory
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  • mathematicskit.linalg
    • Cholesky decomposition
    • Classical matrix theory
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  • mathematicskit.number_theory
    • Continued fractions
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    • Quadratic residues
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    • Multiplicative functions
    • The zeta function
  • mathematicskit.numerical_analysis
    • Function approximation
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  • mathematicskit.ode_dynamics
    • Bifurcation normal forms
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  • mathematicskit.optimization
    • Nonlinear conjugate gradient
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    • Kolmogorov’s axioms
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    • Classical problems
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  • mathematicskit.special_functions
    • Airy functions
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    • Error function and Fresnel integrals
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    • Lambert W function
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  • mathematicskit.statistics
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  • Examples
  • Examples
  • Benchmark functions

Benchmark functions#

Rosenbrock’s banana function, the standard stress test for optimizers.

Rosenbrock’s banana function: a narrow curved valley

Rosenbrock's banana function: a narrow curved valley

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Robbins-Monro: stochastic gradient descent with decaying steps

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Rosenbrock’s banana function: a narrow curved valley
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