| Copyright | (c) Artur M. Brodzki 2018 |
|---|---|
| License | BSD3 |
| Maintainer | artur@brodzki.org |
| Stability | experimental |
| Portability | Windows/POSIX |
| Safe Haskell | None |
| Language | Haskell2010 |
Multilinear.Tensor
Contents
Description
- This module provides convenient constructors that generate a arbitrary finitely- or infinitely-dimensional tensors.
- Finitely-dimensional tensors provide much greater performance than inifitely-dimensional
Synopsis
- fromIndices :: (Num a, Unbox a) => (String, [Int]) -> (String, [Int]) -> ([Int] -> [Int] -> a) -> Tensor a
- generate :: (Num a, Unbox a) => (String, [Int]) -> (String, [Int]) -> ([Int] -> [Int] -> Tensor a) -> Tensor a
- const :: (Num a, Unbox a) => (String, [Int]) -> (String, [Int]) -> a -> Tensor a
- randomDouble :: ContGen d => (String, [Int]) -> (String, [Int]) -> d -> IO (Tensor Double)
- randomDoubleSeed :: (ContGen d, PrimMonad m) => (String, [Int]) -> (String, [Int]) -> d -> Int -> m (Tensor Double)
- randomInt :: DiscreteGen d => (String, [Int]) -> (String, [Int]) -> d -> IO (Tensor Int)
- randomIntSeed :: (DiscreteGen d, PrimMonad m) => (String, [Int]) -> (String, [Int]) -> d -> Int -> m (Tensor Int)
Generators
Arguments
| :: (Num a, Unbox a) | |
| => (String, [Int]) | Upper indices names (one character per index) and its sizes |
| -> (String, [Int]) | Lower indices names (one character per index) and its sizes |
| -> ([Int] -> [Int] -> a) | Generator function (f [u1,u2,...] [d1,d2,...] returns a tensor element at t [u1,u2,...] [d1,d2,...]) |
| -> Tensor a | Generated tensor |
Generate tensor as functions of its indices
Arguments
| :: (Num a, Unbox a) | |
| => (String, [Int]) | Upper indices names (one character per index) and its sizes |
| -> (String, [Int]) | Lower indices names (one character per index) and its sizes |
| -> ([Int] -> [Int] -> Tensor a) | Generator function (f [u1,u2,...] [d1,d2,...] returns a tensor element at t [u1,u2,...] [d1,d2,...]) |
| -> Tensor a | Generated tensor |
Generate tensor composed of other tensors
Arguments
| :: (Num a, Unbox a) | |
| => (String, [Int]) | Upper indices names (one character per index) and its sizes |
| -> (String, [Int]) | Lower indices names (one character per index) and its sizes |
| -> a | Tensor elements value |
| -> Tensor a | Generated tensor |
Generate tensor with all components equal to v
Arguments
| :: ContGen d | |
| => (String, [Int]) | Upper indices names (one character per index) and its sizes |
| -> (String, [Int]) | Lower indices names (one character per index) and its sizes |
| -> d | Continuous probability distribution (as from Statistics.Distribution) |
| -> IO (Tensor Double) | Generated tensor |
Generate tensor with random real components with given probability distribution. The tensor 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, [Int]) | Upper indices names (one character per index) and its sizes |
| -> (String, [Int]) | Lower indices names (one character per index) and its sizes |
| -> d | Continuous probability distribution (as from Statistics.Distribution) |
| -> Int | Randomness seed |
| -> m (Tensor Double) | Generated tensor |
Generate tensor with random real components with given probability distribution and given seed. The tensor 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, [Int]) | Upper indices names (one character per index) and its sizes |
| -> (String, [Int]) | Lower indices names (one character per index) and its sizes |
| -> d | Discrete probability distribution (as from Statistics.Distribution) |
| -> IO (Tensor Int) | Generated tensor |
Generate tensor with random integer components with given probability distribution. The tensor 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, [Int]) | Index name (one character) |
| -> (String, [Int]) | Number of elements |
| -> d | Discrete probability distribution (as from Statistics.Distribution) |
| -> Int | Randomness seed |
| -> m (Tensor Int) | Generated tensor |
Generate tensor with random integer components with given probability distribution and given seed. The tensor is wrapped in a monad.
Available probability distributions:
- Binomial : Statistics.Distribution.Binomial
- Poisson : Statistics.Distribution.Poisson
- Geometric : Statistics.Distribution.Geometric
- Hypergeometric: Statistics.Distribution.Hypergeometric