Statistical classification

Recursive partitioning

Recursive partitioning is a statistical method for multivariable analysis. Recursive partitioning creates a decision tree that strives to correctly classify members of the population by splitting it into sub-populations based on several dichotomous independent variables. The process is termed recursive because each sub-population may in turn be split an indefinite number of times until the splitting process terminates after a particular stopping criterion is reached. Recursive partitioning methods have been developed since the 1980s. Well known methods of recursive partitioning include Ross Quinlan's ID3 algorithm and its successors, C4.5 and C5.0 and Classification and Regression Trees (CART). Ensemble learning methods such as Random Forests help to overcome a common criticism of these methods – their vulnerability to overfitting of the data – by employing different algorithms and combining their output in some way. This article focuses on recursive partitioning for medical diagnostic tests,but the technique has far wider applications.See decision tree. As compared to regression analysis, which creates a formula that health care providers can use to calculate the probability that a patient has a disease, recursive partition creates a rule such as 'If a patient has finding x, y, or z they probably have disease q'. A variation is 'Cox linear recursive partitioning'. (Wikipedia).

Recursive partitioning
Video thumbnail

Quicksort 3 – Recursive Pseudocode

This video describes the workings of a recursive quicksort, which takes a ‘divide and conquer’ approach to the problem of sorting an unordered list. It follows on from previous quicksort videos that covered algorithms for partitioning a list. Line by line, this video examines the executi

From playlist Sorting Algorithms

Video thumbnail

Merge Sort 4 – Towards an Implementation (Recursive Function)

This is the fourth in a series of videos about the merge sort. It includes a description of some pseudocode which combines into a single recursive function a helper program for splitting a list, and a helper program for merging a pair of ordered lists. This video describes how successive

From playlist Sorting Algorithms

Video thumbnail

Quicksort 2 – Alternative Algorithm

This video describes the principle of the quicksort, which takes a ‘divide and conquer’ approach to the problem of sorting an unordered list. In this particular algorithm, the approach to partitioning a list does not rely on the explicit nomination of a pivot value, but still makes use of

From playlist Sorting Algorithms

Video thumbnail

Applying the recursive formula to a sequence to determine the first five terms

👉 Learn all about recursive sequences. Recursive form is a way of expressing sequences apart from the explicit form. In the recursive form of defining sequences, each term of a sequence is expressed in terms of the preceding term unlike in the explicit form where each term is expressed in

From playlist Sequences

Video thumbnail

How to use the recursive formula to evaluate the first five terms

👉 Learn all about recursive sequences. Recursive form is a way of expressing sequences apart from the explicit form. In the recursive form of defining sequences, each term of a sequence is expressed in terms of the preceding term unlike in the explicit form where each term is expressed in

From playlist Sequences

Video thumbnail

Sequences: Introduction to Solving Recurrence Relations

This video introduces solving recurrence relations by the methods of inspection, telescoping, and characteristic root technique. mathispower4u.com

From playlist Sequences (Discrete Math)

Video thumbnail

Applying the recursive formula to a geometric sequence

👉 Learn all about recursive sequences. Recursive form is a way of expressing sequences apart from the explicit form. In the recursive form of defining sequences, each term of a sequence is expressed in terms of the preceding term unlike in the explicit form where each term is expressed in

From playlist Sequences

Video thumbnail

5 Simple Steps for Solving Any Recursive Problem

In this video, we take a look at one of the more challenging computer science concepts: Recursion. We introduce 5 simple steps to help you solve challenging recursive problems and show you 3 specific examples, each progressively more difficult than the last. Support: https://www.patreon.c

From playlist Problem Solving

Video thumbnail

Recursively Defined Sets - An Intro

Recursively defined sets are an important concept in mathematics, computer science, and other fields because they provide a framework for defining complex objects or structures in a simple, iterative way. By starting with a few basic objects and applying a set of rules repeatedly, we can g

From playlist All Things Recursive - with Math and CS Perspective

Video thumbnail

Lec 6 | MIT 6.046J / 18.410J Introduction to Algorithms (SMA 5503), Fall 2005

Lecture 06: Order Statistics, Median View the complete course at: http://ocw.mit.edu/6-046JF05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 6.046J / 18.410J Introduction to Algorithms (SMA 5503),

Video thumbnail

Adaptive Estimation via Optimal Decision Trees by Subhajit Goswami

Program Advances in Applied Probability II (ONLINE) ORGANIZERS: Vivek S Borkar (IIT Bombay, India), Sandeep Juneja (TIFR Mumbai, India), Kavita Ramanan (Brown University, Rhode Island), Devavrat Shah (MIT, US) and Piyush Srivastava (TIFR Mumbai, India) DATE: 04 January 2021 to 08 Januar

From playlist Advances in Applied Probability II (Online)

Video thumbnail

Big O Part 7 – Space Complexity versus Time Complexity

This is the seventh in a series of videos about using Big O notation to describe the complexity of an algorithm. That is, how the performance of an algorithm varies according to the amount of input data. This particular video looks at the time complexity, and space complexity, of three w

From playlist Big O Complexity

Video thumbnail

Searching and Sorting Algorithms (part 3 of 4)

Introductory coverage of basic searching and sorting algorithms, as well as a rudimentary overview of Big-O algorithm analysis. Part of a larger series teaching programming at http://codeschool.org

From playlist Searching and Sorting Algorithms

Video thumbnail

Quicksort 4 – VB.NET Implementation

This video describes a recursive VB.NET implementation of a quicksort. It follows on from previous quicksort videos that covered algorithms for partitioning a list, and pseudocode for a program that calls itself recursively to process successively smaller partitions, until the original li

From playlist Sorting Algorithms

Related pages

ID3 algorithm | Random forest | Overfitting | Ensemble learning | Statistics | Decision tree learning | Recursion