Theory of probability distributions | Spatial analysis

Nearest neighbour distribution

In probability and statistics, a nearest neighbor function, nearest neighbor distance distribution, nearest-neighbor distribution function or nearest neighbor distribution is a mathematical function that is defined in relation to mathematical objects known as point processes, which are often used as mathematical models of physical phenomena representable as randomly positioned points in time, space or both. More specifically, nearest neighbor functions are defined with respect to some point in the point process as being the probability distribution of the distance from this point to its nearest neighboring point in the same point process, hence they are used to describe the probability of another point existing within some distance of a point. A nearest neighbor function can be contrasted with a spherical contact distribution function, which is not defined in reference to some initial point but rather as the probability distribution of the radius of a sphere when it first encounters or makes contact with a point of a point process. Nearest neighbor function are used in the study of point processes as well as the related fields of stochastic geometry and spatial statistics, which are applied in various scientific and engineering disciplines such as biology, geology, physics, and telecommunications. (Wikipedia).

Video thumbnail

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

Video thumbnail

How to Find the Probability Distribution for the Sample Proportion

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys How to Find the Probability Distribution for the Sample Proportion

From playlist Statistics

Video thumbnail

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

Video thumbnail

The Normal Distribution (1 of 3: Introductory definition)

More resources available at www.misterwootube.com

From playlist The Normal Distribution

Video thumbnail

Want to learn Data Science? Announcing a New Course from Stellebosch University

#DataScience #Python #Course #Stellenbosch #University #Google #Colab The signup link is here: http://www.sun.ac.za/english/data-science-and-computational-thinking/Pages/Introduction-to-Data-Science-and-Computational-Thinking.aspx This is an announcement about a new course in Data Scie

From playlist Data Science @ Stellenbosch University

Video thumbnail

Intrinsic and extrinsic geometries of correlated many-body states by S. R. Hassan

DISCUSSION MEETING NOVEL PHASES OF QUANTUM MATTER ORGANIZERS: Adhip Agarwala, Sumilan Banerjee, Subhro Bhattacharjee, Abhishodh Prakash and Smitha Vishveshwara DATE: 23 December 2019 to 02 January 2020 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Recent theoretical and experimental

From playlist Novel Phases of Quantum Matter 2019

Video thumbnail

Sculpting tissues, building organs by Maithreyi Narasimha

Program ICTP - ICTS Winter School on Quantitative Systems Biology ORGANIZERS: Buzz Baum, Guillaume Salbreux, Stefano Di Talia and Vijaykumar Krishnamurthy DATE: 03 December 2019 to 20 December 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore The development of an organism from a s

From playlist Winter School on Quantitative Systems Biology: Quantitative Approaches in Ecosystem Ecology 2020

Video thumbnail

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

Video thumbnail

Random Matrix Theory and its Applications by Satya Majumdar ( Lecture 4 )

PROGRAM BANGALORE SCHOOL ON STATISTICAL PHYSICS - X ORGANIZERS : Abhishek Dhar and Sanjib Sabhapandit DATE : 17 June 2019 to 28 June 2019 VENUE : Ramanujan Lecture Hall, ICTS Bangalore This advanced level school is the tenth in the series. This is a pedagogical school, aimed at bridgin

From playlist Bangalore School on Statistical Physics - X (2019)

Video thumbnail

Nearest neighbor (2): k-nearest neighbor

Basic k-nearest neighbor algorithm for classification and regression

From playlist cs273a

Video thumbnail

Nexus trimester - Yitong Yin (Nanjing University)

Rectangle inequalities for data structure lower bounds Yitong Yin (Nanjing University) February 23, 2016 Abstract: The richness lemma is a classic rectangle-based technique for asymmetric communication complexity and cell-probe lower bounds. The technique was enhanced by the Patrascu-Thoru

From playlist Nexus Trimester - 2016 - Fundamental Inequalities and Lower Bounds Theme

Video thumbnail

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)

Video thumbnail

k-NN 5: resolving ties and missing values

[http://bit.ly/k-NN] For k greater than 1 we can get ties (equal number of positive and negative examples) in the k nearest neighbours. We discuss three different strategies for breaking ties (random, prior, and 1-NN). We also discuss the need to impute (fill-in) any missing values in our

From playlist Nearest Neighbour Methods

Video thumbnail

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)

Video thumbnail

k-NN 9: inverted index

[http://bit.ly/k-NN] Inverted index is a data structure appropriate for high-dimensional discrete data. It allows us to find nearest neighbours faster by using than direct comparisons. It is an exact technique (not approximate), but only works for highly-sparse discrete attributes (e.g. te

From playlist Nearest Neighbour Methods

Related pages

Lebesgue measure | Local feature size | Factorial moment | Stochastic geometry | Origin (mathematics) | Factorial moment measure | Random measure | Borel set | Point process | Point (geometry) | Ball (mathematics) | Set (mathematics) | Abstraction (mathematics) | Euclidean space | Poisson point process | Probability distribution | Mathematical model | Moment measure | Spherical contact distribution function | Point process notation