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: 14.42 lr=0.1
    1/15: loss: 3.113 lr=0.1
    2/15: loss: 1.169 lr=0.1
    3/15: loss: 0.7378 lr=0.1
    4/15: loss: 0.2461 lr=0.1
    5/15: loss: 0.08405 lr=0.1
    6/15: loss: 0.03233 lr=0.1
    7/15: loss: 0.01207 lr=0.1
    8/15: loss: 0.01509 lr=0.1
    9/15: loss: 0.007304 lr=0.1
    10/15: loss: 0.002011 lr=0.1
    11/15: loss: 0.004316 lr=0.1
    12/15: loss: 0.002956 lr=0.1
    13/15: loss: 0.0002909 lr=0.1
    14/15: loss: 0.0002441 lr=0.1
    15/15: loss: 0.000134 lr=0.1
    optimized coefficients: [ 0.503  0.602 -0.701]

(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
    -v, --verbose=VERBOSE
        Default: 1
        0 to hide the standout output
--PATH--
None