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# srsimplify - a CLI tool to simplify symbolic regression expressions with equality saturation. | ||
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## How to use | ||
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```bash | ||
Usage: srsimplify (-f|--from ['tir'|'hl'|'operon'|'bingo'|'gomea'|'pysr'|'sbp'|'eplex']) | ||
(-t|--to ['python'|'math'|'tikz'|'latex']) | ||
[-i|--input INPUT-FILE] [-o|--output OUTPUT-FILE] | ||
[-v|--varnames VARNAMES] | ||
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Simplify an expression using equality saturation. | ||
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Available options: | ||
-f,--from ['tir'|'hl'|'operon'|'bingo'|'gomea'|'pysr'|'sbp'|'eplex'] | ||
Input expression format | ||
-t,--to ['python'|'math'|'tikz'|'latex'] | ||
Output expression format | ||
-i,--input INPUT-FILE Input file containing expressions. Empty string gets | ||
expression from stdin. (default: "") | ||
-o,--output OUTPUT-FILE Output file to store the stats in CSV format. Empty | ||
string prints expressions to stdout. (default: "") | ||
-v,--varnames VARNAMES Comma separated string of variable names. Empty | ||
string defaults to the algorithm default (x0, x1,..). | ||
(default: "") | ||
-h,--help Show this help text | ||
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``` | ||
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## Instalation | ||
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To install this tool you'll need: | ||
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- `libz` | ||
- `libnlopt` | ||
- `libgmp` | ||
- `ghc-9.6.6` | ||
- `cabal` or `stack` | ||
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### Recommended step-by-step | ||
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After installing the dependencies (e.g., `apt install libz libnlopt libgmp`), install [`ghcup`](https://www.haskell.org/ghcup/#) | ||
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For Linux, macOS, FreeBSD or WSL2: | ||
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```bash | ||
curl --proto '=https' --tlsv1.2 -sSf https://get-ghcup.haskell.org | sh | ||
``` | ||
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For Windows, run the following in a PowerShell: | ||
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```bash | ||
Set-ExecutionPolicy Bypass -Scope Process -Force;[System.Net.ServicePointManager]::SecurityProtocol = [System.Net.ServicePointManager]::SecurityProtocol -bor 3072; try { & ([ScriptBlock]::Create((Invoke-WebRequest https://www.haskell.org/ghcup/sh/bootstrap-haskell.ps1 -UseBasicParsing))) -Interactive -DisableCurl } catch { Write-Error $_ } | ||
``` | ||
After the installation, run `ghcup tui` and install the latest `stack` or `cabal` together with `ghc-9.6.6` (select the items and press `i`). | ||
To install `srsimplify` simply run: | ||
```bash | ||
cabal build exe:srsimplify | ||
``` | ||
or | ||
```bash | ||
stack build :srsimplify | ||
``` |
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# srtools a swiss knife for symbolic regression models | ||
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`srtools` offers a multitude of tools for parsing and processing symbolic models. | ||
It offers two types of output: a **csv** file evaluating the model with different metrics, | ||
and a **detailed report** showing the same information in a more readable style plus with | ||
the confidence intervals of the parameters and the 10 first predictions. | ||
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Besides that, it supports the reoptimization of the parameters of the model using L-BFGS method | ||
and the distribution of choice (Gaussian, Bernoulli, or Poisson). | ||
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The CSV file output will show the following fields: | ||
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- `Index`: the index of the expression in the input file | ||
- `Filename`: filename storing the expressions | ||
- `Number_of_nodes`: number of nodes in the expression | ||
- `Number_of_parameters` : number of numerical parameters in the expression | ||
- `Parameters` : values of the parameters separated by `;` | ||
- `SSE_train_orig` : sum-of-square errors of the original expression in the training set | ||
- `SSE_val_orig` : sum-of-square errors of the original expression in the validation set | ||
- `SSE_test_orig` : sum-of-square errors of the original expression in the test set | ||
- `SSE_train_opt` : sum-of-square errors of the reoptimized expression in the training set | ||
- `SSE_val_opt` : sum-of-square errors of the reoptimized expression in the validation set | ||
- `SSE_test_opt` : sum-of-square errors of the reoptimized expression in the test set | ||
- `BIC, BIC_val` : Bayesian Information Criteria of the reoptimized expression on the training and validation set | ||
- `Evidence, Evidence_val` : Evidence of the reoptimized expression on the training and validation set | ||
- `MDL, MDL_Freq, MDL_Lattice, *_val` : Variations of Minimum Description Length of the reoptimized expression on the training and validation set | ||
- `NegLogLikelihood_*` : negative log-likelihood of the chosen distribution for the training, validation, and test sets. | ||
- `LogFunctional` : the log of the functional complexity as defined by MDL. | ||
- `LogParameters` : log of the parameters complexity as defined by MDL. | ||
- `Fisher` : diagonal of the Fisher information matrix. | ||
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Example of detailed report: | ||
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```bash | ||
=================== EXPR 0 ================== | ||
((212.6989526196226 * x0) / (6.413269696507164e-2 + x0)) | ||
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---------General stats:--------- | ||
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Number of nodes: 7 | ||
Number of params: 2 | ||
theta = [212.6989526196226,6.413269696507164e-2] | ||
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----------Performance:-------- | ||
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SSE (train.): 1195.4494 | ||
SSE (val.): 0.0 | ||
SSE (test): 0.0 | ||
NegLogLiklihood (train.): 44.7294 | ||
NegLogLiklihood (val.): 0.0 | ||
NegLogLiklihood (test): 0.0 | ||
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------Selection criteria:----- | ||
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BIC: 96.9136 | ||
AIC: 95.4588 | ||
MDL: 61.2252 | ||
MDL (freq.): 59.4291 | ||
Functional complexity: 11.2661 | ||
Parameter complexity: 5.2297 | ||
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---------Uncertainties:---------- | ||
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Correlation of parameters: | ||
Array D Seq (Sz (2 :. 2)) | ||
[ [ 1.0, 0.78 ] | ||
, [ 0.78, 1.0 ] | ||
] | ||
Std. Err.: Array D Seq (Sz1 2) | ||
[ 7.1613, 8.7e-3 ] | ||
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Confidence intervals: | ||
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lower <= val <= upper | ||
198.7435 <= 212.699 <= 227.6097 | ||
4.84e-2 <= 6.41e-2 <= 8.38e-2 | ||
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Confidence intervals (predictions training): | ||
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lower <= val <= upper | ||
43.0051 <= 50.5667 <= 59.3449 | ||
43.0051 <= 50.5667 <= 59.3449 | ||
92.819 <= 102.8107 <= 112.8937 | ||
92.819 <= 102.8107 <= 112.8937 | ||
125.5919 <= 134.3624 <= 142.7414 | ||
125.5919 <= 134.3624 <= 142.7414 | ||
157.5532 <= 164.6898 <= 171.7878 | ||
157.5532 <= 164.6898 <= 171.7878 | ||
181.4728 <= 190.834 <= 200.1936 | ||
181.4728 <= 190.834 <= 200.1936 | ||
============================================================= | ||
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``` | ||
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## How to use | ||
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```bash | ||
srtools - a CLI tool to (re)optimize the numeric parameters of symbolic | ||
regression expressions | ||
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Usage: srtools (-f|--from ['tir'|'hl'|'operon'|'bingo'|'gomea'|'pysr'|'sbp'|'eplex']) | ||
[-i|--input INPUT-FILE] [-o|--output OUTPUT-FILE] | ||
(-d|--dataset DATASET-FILENAME) [--test TEST] [--niter NITER] | ||
[--hasheader] [--simplify] | ||
[--distribution ['gaussian'|'bernoulli'|'poisson']] [--sErr Serr] | ||
[--restart] [--seed SEED] [--report] [--profile] [--alpha ALPHA] | ||
[--ptype [Bates | ODE | Constrained]] | ||
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Optimize the parameters of Symbolic Regression expressions. | ||
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Available options: | ||
-f,--from ['tir'|'hl'|'operon'|'bingo'|'gomea'|'pysr'|'sbp'|'eplex'] | ||
Input expression format | ||
-i,--input INPUT-FILE Input file containing expressions. Empty string gets | ||
expression from stdin. (default: "") | ||
-o,--output OUTPUT-FILE Output file to store the stats in CSV format. Empty | ||
string prints expressions to stdout. (default: "") | ||
-d,--dataset DATASET-FILENAME | ||
Filename of the dataset used for optimizing the | ||
parameters. Empty string omits stats that make use of | ||
the training data. It will auto-detect and handle | ||
gzipped file based on gz extension. It will also | ||
auto-detect the delimiter. The filename can include | ||
extra information: filename.csv:start:end:target:vars | ||
where start and end corresponds to the range of rows | ||
that should be used for fitting, target is the column | ||
index (or name) of the target variable and cols is a | ||
comma separated list of column indeces or names of | ||
the variables in the same order as used by the | ||
symbolic model. | ||
--test TEST Filename of the test dataset. Empty string omits | ||
stats that make use of the training data. It can have | ||
additional information as in the training set, but | ||
the validation range will be discarded. (default: "") | ||
--niter NITER Number of iterations for the optimization algorithm. | ||
(default: 10) | ||
--hasheader Uses the first row of the csv file as header. | ||
--simplify Apply basic simplification. | ||
--distribution ['gaussian'|'bernoulli'|'poisson'] | ||
Minimize negative log-likelihood following one of the | ||
avaliable distributions. The default is Gaussian. | ||
(default: Gaussian) | ||
--sErr Serr Estimated standard error of the data. If not passed, | ||
it uses the model MSE. (default: Nothing) | ||
--restart If set, it samples the initial values of the | ||
parameters using a Gaussian distribution N(0, 1), | ||
otherwise it uses the original values of the | ||
expression. | ||
--seed SEED Random seed to initialize the parameters values. Used | ||
only if restart is enabled. (default: -1) | ||
--report If set, reports the analysis in a user-friendly | ||
format instead of csv. It will also include | ||
confidence interval for the parameters and | ||
predictions | ||
--profile If set, it will use profile likelihood to calculate | ||
the CIs. | ||
--alpha ALPHA Significance level for confidence intervals. | ||
(default: 5.0e-2) | ||
--ptype [Bates | ODE | Constrained] | ||
Profile Likelihood method. Default: Constrained. | ||
NOTE: Constrained method only calculates the | ||
endpoint. (default: Constrained) | ||
-h,--help Show this help text | ||
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``` | ||
## Instalation | ||
To install this tool you'll need: | ||
- `libz` | ||
- `libnlopt` | ||
- `libgmp` | ||
- `ghc-9.6.6` | ||
- `cabal` or `stack` | ||
### Recommended step-by-step | ||
After installing the dependencies (e.g., `apt install libz libnlopt libgmp`), install [`ghcup`](https://www.haskell.org/ghcup/#) | ||
For Linux, macOS, FreeBSD or WSL2: | ||
```bash | ||
curl --proto '=https' --tlsv1.2 -sSf https://get-ghcup.haskell.org | sh | ||
``` | ||
For Windows, run the following in a PowerShell: | ||
```bash | ||
Set-ExecutionPolicy Bypass -Scope Process -Force;[System.Net.ServicePointManager]::SecurityProtocol = [System.Net.ServicePointManager]::SecurityProtocol -bor 3072; try { & ([ScriptBlock]::Create((Invoke-WebRequest https://www.haskell.org/ghcup/sh/bootstrap-haskell.ps1 -UseBasicParsing))) -Interactive -DisableCurl } catch { Write-Error $_ } | ||
``` | ||
After the installation, run `ghcup tui` and install the latest `stack` or `cabal` together with `ghc-9.6.6` (select the items and press `i`). | ||
To install `srsimplify` simply run: | ||
```bash | ||
cabal build exe:srtools | ||
``` | ||
or | ||
```bash | ||
stack build :srtools | ||
``` |
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module Main (main) where | ||
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import GP ( HyperParams(HP), fitness, evolution ) | ||
import Data.SRTree ( param, var ) | ||
import System.Random ( getStdGen ) | ||
import Control.Monad.State ( evalStateT ) | ||
import Data.SRTree.Datasets ( loadDataset ) | ||
import Options.Applicative | ||
import Data.Massiv.Array | ||
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-- Data type to store command line arguments | ||
data Args = Args | ||
{ dataset :: String, | ||
popSize :: Int, | ||
gens :: Int, | ||
pc :: Double, | ||
pm :: Double | ||
} | ||
deriving (Show) | ||
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-- parser of command line arguments | ||
opt :: Parser Args | ||
opt = Args | ||
<$> strOption | ||
( long "dataset" | ||
<> short 'd' | ||
<> metavar "INPUT-FILE" | ||
<> help "CSV dataset." ) | ||
<*> option auto | ||
( long "population" | ||
<> short 'p' | ||
<> metavar "POP-SIZE" | ||
<> showDefault | ||
<> value 100 | ||
<> help "Population size." ) | ||
<*> option auto | ||
( long "generations" | ||
<> short 'g' | ||
<> metavar "GENS" | ||
<> showDefault | ||
<> value 100 | ||
<> help "Number of generations." ) | ||
<*> option auto | ||
( long "probCx" | ||
<> metavar "PC" | ||
<> showDefault | ||
<> value 0.9 | ||
<> help "Crossover probability." ) | ||
<*> option auto | ||
( long "probMut" | ||
<> metavar "PM" | ||
<> showDefault | ||
<> value 0.3 | ||
<> help "Mutation probability." ) | ||
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nonterms = [Right (+), Right (-), Right (*), Right (/), Right (\l r -> abs l ** r), Left (1/)] | ||
--nonterms = [Right (+), Right (-), Right (*)] | ||
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main :: IO () | ||
main = do | ||
args <- execParser opts | ||
g <- getStdGen | ||
((x, y, _, _), _) <- loadDataset (dataset args) True | ||
let hp = HP 2 4 25 (popSize args) 2 (pc args) (pm args) terms nonterms | ||
(Sz2 _ nFeats) = size x | ||
terms = [var ix | ix <- [0 .. nFeats-1]] <> [param ix | ix <- [0 .. 5]] | ||
pop <- evalStateT (evolution (gens args) hp (fitness x y)) g | ||
putStrLn "Fin" | ||
where | ||
opts = info (opt <**> helper) | ||
( fullDesc <> progDesc "Very simple example of GP using SRTree." | ||
<> header "tinyGP - a very simple example of GP using SRTRee." ) |
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