Data Science #18 - The k-nearest neighbors algorithm (1951)

Data Science #18 - The k-nearest neighbors algorithm (1951)

In the 18th episode we go over the original k-nearest neighbors algorithm; Fix, Evelyn; Hodges, Joseph L. (1951). Discriminatory Analysis. Nonparametric Discrimination: Consistency Properties USAF School of Aviation Medicine, Randolph Field, Texas They introduces a nonparametric method for classifying a new observation 𝑧 z as belonging to one of two distributions, 𝐹 F or 𝐺 G, without assuming specific parametric forms. Using 𝑘 k-nearest neighbor density estimates, the paper implements a likelihood ratio test for classification and rigorously proves the method's consistency.


The work is a precursor to the modern 𝑘 k-Nearest Neighbors (KNN) algorithm and established nonparametric approaches as viable alternatives to parametric methods. Its focus on consistency and data-driven learning influenced many modern machine learning techniques, including kernel density estimation and decision trees.


This paper's impact on data science is significant, introducing concepts like neighborhood-based learning and flexible discrimination.


These ideas underpin algorithms widely used today in healthcare, finance, and artificial intelligence, where robust and interpretable models are critical.

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Avsnitt(33)

 Data Science #34 - The deep learning original paper review, Hinton, Rumelhard & Williams (1985)

Data Science #34 - The deep learning original paper review, Hinton, Rumelhard & Williams (1985)

On the 34th episode, we review the 1986 paper, "Learning representations by back-propagating errors" , which was pivotal because it provided a clear, generalized framework for training neural networks...

23 Nov 202546min

Data Science #33 - The Backpropagation method, Paul Werbos (1980)

Data Science #33 - The Backpropagation method, Paul Werbos (1980)

On the 33rd episdoe we review Paul Werbos’s “Applications of Advances in Nonlinear Sensitivity Analysis” which presents efficient methods for computing derivatives in nonlinear systems, drastically re...

3 Nov 202557min

 Data Science #32 - A Markovian Decision Process, Richard Bellman (1957)

Data Science #32 - A Markovian Decision Process, Richard Bellman (1957)

We reviewed Richard Bellman’s “A Markovian Decision Process” (1957), which introduced a mathematical framework for sequential decision-making under uncertainty. By connecting recurrence relations to M...

19 Sep 202546min

 Data Science #31 - Correlation and causation (1921), Wright Sewall

Data Science #31 - Correlation and causation (1921), Wright Sewall

On the 31st episode of the podcast, we add Liron to the team, we review a gem from 1921, where Sewall Wright introduced path analysis, mapping hypothesized causal arrows into simple diagrams and provi...

26 Juli 202548min

Data Science #30 - The Bootstrap Method (1977)

Data Science #30 - The Bootstrap Method (1977)

In the 30th episode we review the the bootstrap, method which was introduced by Bradley Efron in 1979, is a non-parametric resampling technique that approximates a statistic’s sampling distribution by...

30 Maj 202541min

Data Science #29 - The Chi-square automatic interaction detection(CHAID) algorithm (1979)

Data Science #29 - The Chi-square automatic interaction detection(CHAID) algorithm (1979)

In the 29th episode, we go over the 1979 paper by Gordon Vivian Kass that introduced the CHAID algorithm.CHAID (Chi-squared Automatic Interaction Detection) is a tree-based partitioning method introdu...

23 Maj 202541min

Data Science #28 - The Bloom filter algorithm

Data Science #28 - The Bloom filter algorithm

In the 28th episode, we go over Burton Bloom's Bloom filter from 1970, a groundbreaking data structure that enables fast, space-efficient set membership checks by allowing a small, controllable rate o...

23 Maj 202539min

Data Science #27 - The History of Least Squares (1877)

Data Science #27 - The History of Least Squares (1877)

Mansfield Merriman's 1877 paper traces the historical development of the Method of Least Squares, crediting Legendre (1805) for introducing the method, Adrain (1808) for the first formal probabilistic...

2 Apr 202532min

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