Heuristic algorithms | Graph algorithms | Approximation algorithms | Travelling salesman problem

Nearest neighbour algorithm

The nearest neighbour algorithm was one of the first algorithms used to solve the travelling salesman problem approximately. In that problem, the salesman starts at a random city and repeatedly visits the nearest city until all have been visited. The algorithm quickly yields a short tour, but usually not the optimal one. (Wikipedia).

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k nearest neighbor (kNN): how it works

[http://bit.ly/k-NN] The k-nearest neighbor (k-NN) algorithm is based on the intuition that similar instances should have similar class labels (in classification) or similar target values (regression). The algorithm is very simple, but is capable of learning highly-complex non-linear decis

From playlist Nearest Neighbour Methods

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k-NN 4: which distance function?

[http://bit.ly/k-NN] The nearest-neighbour algorithm is sensitive to the choice of distance function. Euclidean distance (L2) is a common choice, but it may lead to sub-optimal performance. We discuss Minkowski (p-norm) distance functions, which generalise the Euclidean distance, and can a

From playlist Nearest Neighbour Methods

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k-NN 2: classification and regression

[http://bit.ly/k-NN] The k-NN algorithm operates as follows. For a new test instance, we first compute its distance to all the N training instances, and keep a small number k of nearest neighbours. For classification, we then predict the most dominant class among the k neighbours. For regr

From playlist Nearest Neighbour Methods

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Creating Our K Nearest Neighbors Algorithm - Practical Machine Learning with Python p.16

Now that we understand the intuition behind how we calculate the distance/proximity between feature sets, we're ready to begin building our own version of K Nearest Neighbors in code from scatch. https://pythonprogramming.net https://twitter.com/sentdex https://www.facebook.com/pythonprog

From playlist Machine Learning with Python

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AQA Decision 1 8.04 The Travelling Salesperson Problem: The Nearest Neighbour Algorithm

I work through an example of the Nearest Neighbour Algorithm using a matrix and go through what to look out for.

From playlist [OLD SPEC] TEACHING AQA DECISION 1 (D1)

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AQA Decision 1 8.06a The Travelling Salesperson Problem ex2: Nearest Neighbour Algorithm

I work through a second example of using the Nearest Neighbour Algorithm, this time without writing anything on the matrix.

From playlist [OLD SPEC] TEACHING AQA DECISION 1 (D1)

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KD tree algorithm: how it works

[http://bit.ly/k-NN] K-D trees allow us to quickly find approximate nearest neighbours in a (relatively) low-dimensional real-valued space. The algorithm works by recursively partitioning the set of training instances based on a median value of a chosen attribute. When we get a new data in

From playlist Nearest Neighbour Methods

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k-NN 3: how many neighbours?

[http://bit.ly/k-NN] What value of k should we use for the k-NN algorithm? Small values of k lead to a low-bias, high-variance classifier that can overfit to the training data. High values of k reduce the variance, but can lead to significant bias (a classifier that is inaccurate on the tr

From playlist Nearest Neighbour Methods

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k-NN 7: how to make it faster

[http://bit.ly/k-NN] k-NN algorithm is computationally expensive because we need to compute the distance of each testing instance from every training instance. There is no exact algorithm for doing this quickly, but we do have approximate methods: K-D trees for low-dimensional data, invert

From playlist Nearest Neighbour Methods

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KNN Classification & Regression in Python

#knn #machinelearning #python In this video, I've explained the concept of KNN algorithm in great detail. I've also shown how you can implement KNN from scratch in python. For more videos please subscribe - http://bit.ly/normalizedNERD Support me if you can ❤️ https://www.paypal.com/pa

From playlist ML Algorithms from Scratch

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AQA Decision 1 8.05 The Travelling Salesperson Problem: The Lower Bound Algorithm

I work through a first try at the Lower Bound Algorithm and discuss what our result means alongside the upper bound given by the Nearest Neighbour Algorithm

From playlist [OLD SPEC] TEACHING AQA DECISION 1 (D1)

Related pages

Algorithm | Approximation algorithm | Travelling salesman problem | Upper and lower bounds