Tutorial (français)

Exemples

  1. Mixture of SIRD simulation and plotting

  2. SIRD simulation and plotting

  3. SIRDc simulation and plotting

  4. Stochastic Gradient Descent applied to linear regression

Mixture of SIRD simulation and plotting

(Source code, png, hires.png, pdf)

_images/model_covidsir_mixture-1.png

(original entry : covid_sird_mixture.py:docstring of aftercovid.models.covid_sird_mixture.CovidSIRDMixture, line 16)

SIRD simulation and plotting

(Source code, png, hires.png, pdf)

_images/model_covidsir-1.png

(original entry : covid_sird.py:docstring of aftercovid.models.covid_sird.CovidSIRD, line 13)

SIRDc simulation and plotting

(Source code, png, hires.png, pdf)

_images/model_covidsir_cst-1.png

(original entry : covid_sird_cst.py:docstring of aftercovid.models.covid_sird_cst.CovidSIRDc, line 80)

Stochastic Gradient Descent applied to linear regression

The following example how to optimize a simple linear regression.

<<<

import numpy
from aftercovid.optim import SGDOptimizer


def fct_loss(c, X, y):
    return numpy.linalg.norm(X @ c - y) ** 2


def fct_grad(c, x, y, i=0):
    return x * (x @ c - y) * 0.1


coef = numpy.array([0.5, 0.6, -0.7])
X = numpy.random.randn(10, 3)
y = X @ coef

sgd = SGDOptimizer(numpy.random.randn(3))
sgd.train(X, y, fct_loss, fct_grad, max_iter=15, verbose=True)
print('optimized coefficients:', sgd.coef)

>>>

    0/15: loss: 19.65 lr=0.1
    1/15: loss: 8.562 lr=0.1
    2/15: loss: 1.641 lr=0.1
    3/15: loss: 0.3661 lr=0.1
    4/15: loss: 0.4142 lr=0.1
    5/15: loss: 0.2441 lr=0.1
    6/15: loss: 0.1408 lr=0.1
    7/15: loss: 0.1128 lr=0.1
    8/15: loss: 0.07229 lr=0.1
    9/15: loss: 0.04406 lr=0.1
    10/15: loss: 0.02637 lr=0.1
    11/15: loss: 0.01667 lr=0.1
    12/15: loss: 0.01154 lr=0.1
    13/15: loss: 0.005553 lr=0.1
    14/15: loss: 0.004044 lr=0.1
    15/15: loss: 0.002067 lr=0.1
    optimized coefficients: [ 0.527  0.586 -0.712]

(original entry : sgd.py:docstring of aftercovid.optim.sgd.SGDOptimizer, line 32)

Ligne de commande

Commande check

check

Vérifie que le module fonctionne comme prévu.

<<<

python -m aftercovid check --help

>>>

--SCRIPT---m aftercovid check --help
--OUT--

--ERR--
INFO: Showing help with the command '__main__.py check -- --help'.

NAME
    __main__.py check - Runs a couple of functions to check the module is working.

SYNOPSIS
    __main__.py check <flags>

DESCRIPTION
    Runs a couple of functions to check the module is working.

FLAGS
    --verbose=VERBOSE
        Default: 1
        0 to hide the standout output
--PATH--
None