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)

(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)

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

SIRDc simulation and plotting

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

(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: 26.24 lr=0.1
    1/15: loss: 18.73 lr=0.1
    2/15: loss: 7.468 lr=0.1
    3/15: loss: 3.415 lr=0.1
    4/15: loss: 1.31 lr=0.1
    5/15: loss: 1.006 lr=0.1
    6/15: loss: 1.109 lr=0.1
    7/15: loss: 0.4969 lr=0.1
    8/15: loss: 0.1801 lr=0.1
    9/15: loss: 0.1904 lr=0.1
    10/15: loss: 0.05373 lr=0.1
    11/15: loss: 0.04798 lr=0.1
    12/15: loss: 0.02271 lr=0.1
    13/15: loss: 0.01541 lr=0.1
    14/15: loss: 0.007166 lr=0.1
    15/15: loss: 0.004563 lr=0.1
    optimized coefficients: [ 0.52   0.593 -0.659]

(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