Best Pattern Recognition and Machine Learning Book (Bishop)

Pattern Recognition and Machine Learning (Information Science and Statistics)

The above book by Christopher M. Bishop is widely regarded as one of the most comprehensive books on Machine Learning. At over 700 pages, it has coverage of most machine learning and pattern recognition topics.

It is considered very rigorous for a machine learning (data science) book, but yet has a lighter touch than a pure mathematics or theoretical computer science book. Hence, it is perfect as a reference book or even textbook for students self learning the subject from the ground up (i.e. students who want to understand instead of just blindly apply algorithms).

A brief overview of the contents covered (taken from the contents page of the book):

  1. Introduction

  2. Probability Distributions

  3. Linear Models for Regression

  4. Linear Models for Classification

  5. Neural Networks

  6. Kernel Methods

  7. Sparse Kernel Machines

  8. Graphical Models

  9. Mixture Models and EM

  10. Approximate Inference

  11. Sampling Methods

  12. Continuous Latent Variables

  13. Sequential Data

  14. Combining Models

Python save csv to folder

In Python (pandas), saving a .csv file to a particular folder is not that hard, but then it may be confusing to beginners.

The packages we need to import are:

import pandas as pd
import os.path

Say, your folder name is called “myfolder”, and the dataframe you have is called “df”. To save it insider “myfolder” as “yourfilename.csv”, the following code does the job:


The reason this may be difficult for beginners is that beginners may not know of the existence of the os.path.join method, which is the recommended method for joining one or more path components.

Recall & Precision vs Sensitivity & Specificity

Other than accuracy rate, there are various metrics for machine learning to measure how “accurate” the model is.

Some popular ones for binary classification are sensitivity (true positive rate) and specificity (true negative rate).

In computer science, recall and precision are also common metrics.

It can be quite confusing to remember offhand what each metric means, and how they are related.

To summarize, the following are equivalent (for binary classification):

sensitivity = recall of positive class

specificity = recall of negative class

Sample source:

Other than the above metrics mentioned, there are also many other metrics, such as F1 score, etc.

pip install keeps installing old/outdated packages

This article is suitable for solving the following few problems:

  1. module ‘sklearn.tree’ has no attribute ‘plot_tree’
  2. pip install (on Spyder, Anaconda Prompt, etc.) does not install the latest package.

The leading reason for “module ‘sklearn.tree’ has no attribute ‘plot_tree” is because the sklearn package is outdated.

Sometimes “pip install scikit-learn” simply does not update the sklearn package to the latest version. Type “print(sklearn.__version__)” to get the version of sklearn on your machine, it should be at least 0.21.

The solution is to force pip to install the latest package:

pip install --no-cache-dir --upgrade <package>

In this case, we would replace <package>¬† by “scikit-learn”.

Sometimes, pip install does not work in the Spyder IPython console, it displays an error to the effect that you should install “outside the IPython console”. This is not normal (i.e. it should not happen), but as a quick fix you can try “pip install” in Anaconda Prompt instead. It is likely that something wrong went on during the installation of Anaconda, Python, and the long-term solution is to reinstall Anaconda.

caret package in R: known issue when converting factor variables

In the R language, often you have to convert variables to “factor” or “categorical”. There is a known issue in the ‘caret’ library that may cause errors when you do that in a certain way.

The correct way to convert variables to ‘factor’ is:

trainset$Churn = as.factor(trainset$Churn)

In particular, “the train() function in caret does not handle factor variables well” when you convert to factors using other methods.

Basically, if you use other ways to convert to ‘factor’, the code may still run, but there may be some ‘weird’ issues that leads to inaccurate predictions (for instance if you are doing logistic regression, decision trees, etc.)

How to save sklearn tree plot as file (Vector Graphics)

The Scikit-Learn (sklearn) Python package has a nice function sklearn.tree.plot_tree to plot (decision) trees. The documentation is found here.

However, the default plot just by using the command


could be low resolution if you try to save it from a IDE like Spyder.

The solution is to first import matplotlib.pyplot:

import matplotlib.pyplot as plt

Then, the following code will allow you to save the sklearn tree as .eps (or you could change the format accordingly):

plt.savefig('tree.eps',format='eps',bbox_inches = "tight")

To elaborate, clf is your Decision Tree classifier (to be defined before plotting the tree):

# Example from
clf = tree.DecisionTreeClassifier(random_state=0)
clf =,

The outcome is a Vector Graphics format (.eps) tree that will retain its full resolution when zoomed in. The bbox_inches=”tight” command prevents truncating of the image. Without that command, sometimes the sklearn tree will just be cropped off and be incomplete.

Introduction to Machine Learning

Very good introduction to Machine Learning by Google. Google is the developer of Tensorflow (on which the Keras package is built). The other platform for Machine Learning is Pytorch by Facebook.

So far, the best introductory book to Machine Learning seems to be the one by the founder of Keras, called “Deep Learning with Python”. See also Best Machine Learning / Deep Learning Books.