| Copyright | (c) Artur M. Brodzki 2018 |
|---|---|
| License | BSD3 |
| Maintainer | artur@brodzki.org |
| Stability | experimental |
| Portability | Windows/POSIX |
| Safe Haskell | None |
| Language | Haskell2010 |
Multilinear.Form
Description
- This module provides convenient constructors that generates a linear functionals
- Finitely-dimensional functionals provide much greater performance that infinitely-dimensional
Synopsis
- fromIndices :: Num a => String -> Int -> (Int -> a) -> Tensor a
- const :: Num a => String -> Int -> a -> Tensor a
- randomDouble :: ContGen d => String -> Int -> d -> IO (Tensor Double)
- randomDoubleSeed :: (ContGen d, PrimMonad m) => String -> Int -> d -> Int -> m (Tensor Double)
- randomInt :: DiscreteGen d => String -> Int -> d -> IO (Tensor Int)
- randomIntSeed :: (DiscreteGen d, PrimMonad m) => String -> Int -> d -> Int -> m (Tensor Int)
- fromIndices' :: Num a => String -> (Int -> a) -> Tensor a
- const' :: Num a => String -> a -> Tensor a
Generators
Finite functionals
Arguments
| :: Num a | |
| => String | Index name (one character) |
| -> Int | Number of elements |
| -> (Int -> a) | Generator function - returns a linear functional component at index |
| -> Tensor a | Generated linear functional |
Generate linear functional as function of indices
Arguments
| :: Num a | |
| => String | Index name (one character) |
| -> Int | Number of elements |
| -> a | Value of each element |
| -> Tensor a | Generated linear functional |
Generate linear functional with all components equal to some v
Arguments
| :: ContGen d | |
| => String | Index name (one character) |
| -> Int | Number of elements |
| -> d | Continuous probability distribution (as from Statistics.Distribution) |
| -> IO (Tensor Double) | Generated linear functional |
Generate linear functional with random real components with given probability distribution. The functional is wrapped in the IO monad.
Available probability distributions:
- Beta : Statistics.Distribution.BetaDistribution
- Cauchy : Statistics.Distribution.CauchyLorentz
- Chi-squared : Statistics.Distribution.ChiSquared
- Exponential : Statistics.Distribution.Exponential
- Gamma : Statistics.Distribution.Gamma
- Normal : Statistics.Distribution.Normal
- StudentT : Statistics.Distribution.StudentT
- Uniform : Statistics.Distribution.Uniform
- F : Statistics.Distribution.FDistribution
- Laplace : Statistics.Distribution.Laplace
Arguments
| :: (ContGen d, PrimMonad m) | |
| => String | Index name (one character) |
| -> Int | Number of elements |
| -> d | Continuous probability distribution (as from Statistics.Distribution) |
| -> Int | Randomness seed |
| -> m (Tensor Double) | Generated linear functional |
Generate linear functional with random real components with given probability distribution and given seed. The functional is wrapped in a monad.
Available probability distributions:
- Beta : Statistics.Distribution.BetaDistribution
- Cauchy : Statistics.Distribution.CauchyLorentz
- Chi-squared : Statistics.Distribution.ChiSquared
- Exponential : Statistics.Distribution.Exponential
- Gamma : Statistics.Distribution.Gamma
- Normal : Statistics.Distribution.Normal
- StudentT : Statistics.Distribution.StudentT
- Uniform : Statistics.Distribution.Uniform
- F : Statistics.Distribution.FDistribution
- Laplace : Statistics.Distribution.Laplace
Arguments
| :: DiscreteGen d | |
| => String | Index name (one character) |
| -> Int | Number of elements |
| -> d | Discrete probability distribution (as from Statistics.Distribution) |
| -> IO (Tensor Int) | Generated linear functional |
Generate linear functional with random integer components with given probability distribution. The functional is wrapped in the IO monad.
Available probability distributions:
- Binomial : Statistics.Distribution.Binomial
- Poisson : Statistics.Distribution.Poisson
- Geometric : Statistics.Distribution.Geometric
- Hypergeometric: Statistics.Distribution.Hypergeometric
Arguments
| :: (DiscreteGen d, PrimMonad m) | |
| => String | Index name (one character) |
| -> Int | Number of elements |
| -> d | Discrete probability distribution (as from Statistics.Distribution) |
| -> Int | Randomness seed |
| -> m (Tensor Int) | Generated linear functional |
Generate linear functional with random integer components with given probability distribution and given seed. The functional is wrapped in a monad.
Available probability distributions:
- Binomial : Statistics.Distribution.Binomial
- Poisson : Statistics.Distribution.Poisson
- Geometric : Statistics.Distribution.Geometric
- Hypergeometric: Statistics.Distribution.Hypergeometric