{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# [NTDS'19] tutorial 1: introduction\n",
"[ntds'19]: https://github.com/mdeff/ntds_2019\n",
"\n",
"[Michaƫl Defferrard](https://deff.ch), [EPFL LTS2](https://lts2.epfl.ch)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Content\n",
"\n",
"1. [Conda and Anaconda](#conda)\n",
"1. [Python](#python)\n",
"1. [Jupyter notebooks](#jupyter)\n",
"1. [Version control with git](#git)\n",
"1. [Scientific Python](#scipy)\n",
"1. [Ressources to improve your Python skills](#improve)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"## 1 Conda and Anaconda\n",
"\n",
"![conda](figures/conda.jpg)\n",
"\n",
"[Conda](https://conda.io) is a package and environment manager. It allows you to create environments, ideally one per project, and install packages into them. It is available for Windows, macOS and Linux.\n",
"\n",
"[Anaconda](https://anaconda.org/download) is a commercial distribution that comes with many of the packages used by data scientists. [Miniconda](https://conda.io/miniconda.html) is a lighter open distribution. Both install `conda`, from which you'll be able to install many packages.\n",
"\n",
"[conda-forge](https://conda-forge.org) is a community-driven collection of recipes to build conda packages. It contains many more packages than the official defaults channel."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Get basic information from your conda installation:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\r\n",
" active environment : ntds_2019\r\n",
" active env location : /home/michael/.conda/envs/ntds_2019\r\n",
" shell level : 1\r\n",
" user config file : /home/michael/.condarc\r\n",
" populated config files : /home/michael/.condarc\r\n",
" conda version : 4.7.2\r\n",
" conda-build version : not installed\r\n",
" python version : 3.7.4.final.0\r\n",
" virtual packages : \r\n",
" base environment : /usr (read only)\r\n",
" channel URLs : https://conda.anaconda.org/conda-forge/linux-64\r\n",
" https://conda.anaconda.org/conda-forge/noarch\r\n",
" https://repo.anaconda.com/pkgs/main/linux-64\r\n",
" https://repo.anaconda.com/pkgs/main/noarch\r\n",
" https://repo.anaconda.com/pkgs/r/linux-64\r\n",
" https://repo.anaconda.com/pkgs/r/noarch\r\n",
" package cache : /home/michael/.conda/pkgs\r\n",
" envs directories : /home/michael/.conda/envs\r\n",
" /usr/envs\r\n",
" platform : linux-64\r\n",
" user-agent : conda/4.7.2 requests/2.22.0 CPython/3.7.4 Linux/5.2.6-arch1-1-ARCH arch/ glibc/2.29\r\n",
" UID:GID : 1000:1000\r\n",
" netrc file : None\r\n",
" offline mode : False\r\n",
"\r\n"
]
}
],
"source": [
"!conda info"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"List your environments:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"# conda environments:\r\n",
"#\r\n",
"complexes /home/michael/.conda/envs/complexes\r\n",
"eeg_denoising /home/michael/.conda/envs/eeg_denoising\r\n",
"ntds_2019 * /home/michael/.conda/envs/ntds_2019\r\n",
"osmnx /home/michael/.conda/envs/osmnx\r\n",
"python2 /home/michael/.conda/envs/python2\r\n",
"scnn /home/michael/.conda/envs/scnn\r\n",
"snn /home/michael/.conda/envs/snn\r\n",
"base /usr\r\n",
"\r\n"
]
}
],
"source": [
"!conda env list"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"List the packages in an environment:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"# packages in environment at /home/michael/.conda/envs/ntds_2019:\r\n",
"#\r\n",
"# Name Version Build Channel\r\n",
"_libgcc_mutex 0.1 main \r\n",
"attrs 19.1.0 py_0 conda-forge\r\n",
"backcall 0.1.0 py_0 conda-forge\r\n",
"bleach 3.1.0 py_0 conda-forge\r\n",
"bzip2 1.0.8 h516909a_1 conda-forge\r\n",
"ca-certificates 2019.9.11 hecc5488_0 conda-forge\r\n",
"certifi 2019.9.11 py37_0 conda-forge\r\n",
"cffi 1.12.3 py37h8022711_0 conda-forge\r\n",
"cpuonly 1.0 0 pytorch\r\n",
"curl 7.65.3 hf8cf82a_0 conda-forge\r\n",
"cycler 0.10.0 py_1 conda-forge\r\n",
"decorator 4.4.0 py_0 conda-forge\r\n",
"defusedxml 0.5.0 py_1 conda-forge\r\n",
"dgl 0.3.1 py37_0 dglteam\r\n",
"entrypoints 0.3 py37_1000 conda-forge\r\n",
"expat 2.2.5 he1b5a44_1003 conda-forge\r\n",
"freetype 2.10.0 he983fc9_1 conda-forge\r\n",
"gettext 0.19.8.1 hc5be6a0_1002 conda-forge\r\n",
"git 2.23.0 pl526hce37bd2_2 conda-forge\r\n",
"icu 64.2 he1b5a44_1 conda-forge\r\n",
"intel-openmp 2019.4 243 \r\n",
"ipykernel 5.1.2 py37h5ca1d4c_0 conda-forge\r\n",
"ipython 7.8.0 py37h5ca1d4c_0 conda-forge\r\n",
"ipython_genutils 0.2.0 py_1 conda-forge\r\n",
"jedi 0.15.1 py37_0 conda-forge\r\n",
"jinja2 2.10.1 py_0 conda-forge\r\n",
"joblib 0.13.2 py_0 conda-forge\r\n",
"json5 0.8.5 py_0 conda-forge\r\n",
"jsonschema 3.0.2 py37_0 conda-forge\r\n",
"jupyter_client 5.3.1 py_0 conda-forge\r\n",
"jupyter_core 4.4.0 py_0 conda-forge\r\n",
"jupyterlab 1.1.3 py_0 conda-forge\r\n",
"jupyterlab_server 1.0.6 py_0 conda-forge\r\n",
"kiwisolver 1.1.0 py37hc9558a2_0 conda-forge\r\n",
"krb5 1.16.3 h05b26f9_1001 conda-forge\r\n",
"libblas 3.8.0 12_openblas conda-forge\r\n",
"libcblas 3.8.0 12_openblas conda-forge\r\n",
"libcurl 7.65.3 hda55be3_0 conda-forge\r\n",
"libedit 3.1.20170329 hf8c457e_1001 conda-forge\r\n",
"libffi 3.2.1 he1b5a44_1006 conda-forge\r\n",
"libgcc-ng 9.1.0 hdf63c60_0 \r\n",
"libgfortran-ng 7.3.0 hdf63c60_0 \r\n",
"libiconv 1.15 h516909a_1005 conda-forge\r\n",
"liblapack 3.8.0 12_openblas conda-forge\r\n",
"libopenblas 0.3.7 h6e990d7_1 conda-forge\r\n",
"libpng 1.6.37 hed695b0_0 conda-forge\r\n",
"libsodium 1.0.17 h516909a_0 conda-forge\r\n",
"libssh2 1.8.2 h22169c7_2 conda-forge\r\n",
"libstdcxx-ng 9.1.0 hdf63c60_0 \r\n",
"markupsafe 1.1.1 py37h14c3975_0 conda-forge\r\n",
"matplotlib-base 3.1.1 py37he7580a8_1 conda-forge\r\n",
"mistune 0.8.4 py37h14c3975_1000 conda-forge\r\n",
"mkl 2019.4 243 \r\n",
"nbconvert 5.6.0 py37_1 conda-forge\r\n",
"nbformat 4.4.0 py_1 conda-forge\r\n",
"ncurses 6.1 hf484d3e_1002 conda-forge\r\n",
"networkx 2.3 py_0 conda-forge\r\n",
"ninja 1.9.0 h6bb024c_0 conda-forge\r\n",
"notebook 6.0.1 py37_0 conda-forge\r\n",
"numpy 1.15.4 py37h8b7e671_1002 conda-forge\r\n",
"openssl 1.1.1c h516909a_0 conda-forge\r\n",
"pandas 0.25.1 py37hb3f55d8_0 conda-forge\r\n",
"pandoc 2.7.3 0 conda-forge\r\n",
"pandocfilters 1.4.2 py_1 conda-forge\r\n",
"parso 0.5.1 py_0 conda-forge\r\n",
"pcre 8.41 hf484d3e_1003 conda-forge\r\n",
"perl 5.26.2 h516909a_1006 conda-forge\r\n",
"pexpect 4.7.0 py37_0 conda-forge\r\n",
"pickleshare 0.7.5 py37_1000 conda-forge\r\n",
"pip 19.2.3 py37_0 conda-forge\r\n",
"prometheus_client 0.7.1 py_0 conda-forge\r\n",
"prompt_toolkit 2.0.9 py_0 conda-forge\r\n",
"ptyprocess 0.6.0 py_1001 conda-forge\r\n",
"pycparser 2.19 py37_1 conda-forge\r\n",
"pygments 2.4.2 py_0 conda-forge\r\n",
"pygsp 0.5.1 py_0 conda-forge\r\n",
"pyparsing 2.4.2 py_0 conda-forge\r\n",
"pyrsistent 0.15.4 py37h516909a_0 conda-forge\r\n",
"python 3.7.3 h33d41f4_1 conda-forge\r\n",
"python-dateutil 2.8.0 py_0 conda-forge\r\n",
"pytorch 1.2.0 py3.7_cpu_0 [cpuonly] pytorch\r\n",
"pytz 2019.2 py_0 conda-forge\r\n",
"pyzmq 18.1.0 py37h1768529_0 conda-forge\r\n",
"readline 8.0 hf8c457e_0 conda-forge\r\n",
"scikit-learn 0.21.3 py37hcdab131_0 conda-forge\r\n",
"scipy 1.3.1 py37h921218d_2 conda-forge\r\n",
"send2trash 1.5.0 py_0 conda-forge\r\n",
"setuptools 41.2.0 py37_0 conda-forge\r\n",
"six 1.12.0 py37_1000 conda-forge\r\n",
"sqlite 3.29.0 hcee41ef_1 conda-forge\r\n",
"terminado 0.8.2 py37_0 conda-forge\r\n",
"testpath 0.4.2 py_1001 conda-forge\r\n",
"tk 8.6.9 hed695b0_1003 conda-forge\r\n",
"tornado 6.0.3 py37h516909a_0 conda-forge\r\n",
"traitlets 4.3.2 py37_1000 conda-forge\r\n",
"wcwidth 0.1.7 py_1 conda-forge\r\n",
"webencodings 0.5.1 py_1 conda-forge\r\n",
"wheel 0.33.6 py37_0 conda-forge\r\n",
"xz 5.2.4 h14c3975_1001 conda-forge\r\n",
"zeromq 4.3.2 he1b5a44_2 conda-forge\r\n",
"zlib 1.2.11 h516909a_1006 conda-forge\r\n"
]
}
],
"source": [
"!conda list -n ntds_2019"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Install packages in an environment. The package will be installed in the activated environment if an environment name is not given."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Collecting package metadata (current_repodata.json): - \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\bdone\r\n",
"Solving environment: \\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\b- \b\b\\ \b\b| \b\b/ \b\bdone\r\n",
"\r\n",
"# All requested packages already installed.\r\n",
"\r\n"
]
}
],
"source": [
"!conda install -n ntds_2019 git"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Want to know more?** Look at the [conda user guide](https://conda.io/docs/user-guide/overview.html)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"## 2 Python\n",
"\n",
"[Python](https://python.org) is one of the main programming languages used by data scientists, along [R](https://www.r-project.org) and [Julia](https://julialang.org). As an open and general purpose language, it is replacing [MATLAB](https://mathworks.com/products/matlab.html) in many scientific and engineering fields. Python is the most popular language used for machine learning.\n",
"\n",
"Below are very basic examples of Python code. **Want to learn more?** Look at the [Python Tutorial](https://docs.python.org/3/tutorial/index.html)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Control flow"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"hello\n"
]
}
],
"source": [
"if 1 == 1:\n",
" print('hello')"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0\n",
"1\n",
"2\n",
"3\n",
"4\n"
]
}
],
"source": [
"for i in range(5):\n",
" print(i)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"4\n",
"3\n"
]
}
],
"source": [
"a = 4\n",
"while a > 2:\n",
" print(a)\n",
" a -= 1"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Data structures"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Lists are mutable, i.e., we can change the objects they store."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[1, 2, 'hello', 3.2]\n",
"[1, 2, 'world', 3.2]\n"
]
}
],
"source": [
"a = [1, 2, 'hello', 3.2]\n",
"print(a)\n",
"a[2] = 'world'\n",
"print(a)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Tuples are not mutable."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(1, 2, 'hello')"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(1, 2, 'hello')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Sets contain unique values."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{1, 2, 3, 4}\n",
"{2, 4}\n"
]
}
],
"source": [
"a = {1, 2, 3, 3, 4}\n",
"print(a)\n",
"print(a.intersection({2, 4, 6}))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Dictionaries map keys to values."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"a = {'one': 1, 'two': 2, 'three': 3}\n",
"a['two']"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Functions"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"5"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def add(a, b):\n",
" return a + b\n",
"\n",
"add(1, 4)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Classes"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"30"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"class A:\n",
" d = 10\n",
" \n",
" def add(self, c):\n",
" return self.d + c\n",
"\n",
"a = A()\n",
"a.add(20)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"30\n",
"-10\n"
]
}
],
"source": [
"class B(A):\n",
" def sub(self, c):\n",
" return self.d - c\n",
"\n",
"b = B()\n",
"print(b.add(20))\n",
"print(b.sub(20))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Dynamic typing"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'abc'"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x = 1\n",
"x = 'abc'\n",
"x"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'hello'"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"add('hel', 'lo')"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[1, 2, 3, 4, 5]"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"add([1, 2], [3, 4, 5])"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"130\n",
"120 items\n"
]
}
],
"source": [
"print(int('120') + 10)\n",
"print(str(120) + ' items')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"## 3 Jupyter notebooks\n",
"\n",
"[Jupyter](https://jupyter.org) notebooks allow to mix text, math, code, and results (numerical or figures) in a **single document**. It is intended for interactive computing and is very useful to explore data, teach concepts, create reports. Code can be written in many programming languages, including Python, Julia, R, MATLAB, C++."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Markdown text (and Latex math)\n",
"\n",
"A list:\n",
"\n",
"* item\n",
"* item\n",
"\n",
"Text in a paragraph. Text can be *italic*, **bold**, `verbatim`. We can define [hyperlinks](https://github.com/mdeff/ntds_2019).\n",
"\n",
"A numbered list:\n",
"\n",
"1. item\n",
"1. item\n",
"\n",
"Some inline math: $x = \\frac12$\n",
"\n",
"Some display math:\n",
"$$ f(x) = \\frac{e^{-x}}{4} $$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Code and results"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"6.0"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"20 / 100 * 30"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Inline figures"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"