| Copyright | (c) Artur M. Brodzki 2018 |
|---|---|
| License | BSD3 |
| Maintainer | artur@brodzki.org |
| Stability | experimental |
| Portability | Windows/POSIX |
| Safe Haskell | None |
| Language | Haskell2010 |
Multilinear.NVector
Contents
Description
- This module provides convenient constructors that generate a n-vector (tensor with n upper indices with finite or infinite size).
- Finitely-dimensional n-vectors provide much greater performance than infinitely-dimensional
Synopsis
- fromIndices :: (Num a, Unbox a) => String -> [Int] -> ([Int] -> a) -> Tensor a
- const :: (Num a, Unbox 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)
Generators
Arguments
| :: (Num a, Unbox a) | |
| => String | Indices names (one characted per index) |
| -> [Int] | Indices sizes |
| -> ([Int] -> a) | Generator function |
| -> Tensor a | Generated n-vector |
Generate n-vector as function of its indices
Arguments
| :: (Num a, Unbox a) | |
| => String | Indices names (one characted per index) |
| -> [Int] | Indices sizes |
| -> a | n-vector elements value |
| -> Tensor a | Generated n-vector |
Generate n-vector with all components equal to v
Arguments
| :: ContGen d | |
| => String | Indices names (one character per index) |
| -> [Int] | Indices sizes |
| -> d | Continuous probability distribution (as from Statistics.Distribution) |
| -> IO (Tensor Double) | Generated linear functional |
Generate n-vector with random real components with given probability distribution. The n-vector 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
- Geometric : Statistics.Distribution.Geometric
- 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 n-vector |
Generate n-vector with random real components with given probability distribution and given seed. The form 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
- Geometric : Statistics.Distribution.Geometric
- Normal : Statistics.Distribution.Normal
- StudentT : Statistics.Distribution.StudentT
- Uniform : Statistics.Distribution.Uniform
- F : Statistics.Distribution.FDistribution
- Laplace : Statistics.Distribution.Laplace
Arguments
| :: DiscreteGen d | |
| => String | Indices names (one character per index) |
| -> [Int] | Indices sizes |
| -> d | Discrete probability distribution (as from Statistics.Distribution) |
| -> IO (Tensor Int) | Generated n-vector |
Generate n-vector with random integer components with given probability distribution. The n-vector 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 n-vector |
Generate n-vector with random integer components with given probability distribution and given seed. The form is wrapped in a monad.
Available probability distributions:
- Binomial : Statistics.Distribution.Binomial
- Poisson : Statistics.Distribution.Poisson
- Geometric : Statistics.Distribution.Geometric
- Hypergeometric: Statistics.Distribution.Hypergeometric