6.6: Key Terms
- Page ID
- 118215
\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)
\( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)
\( \newcommand{\dsum}{\displaystyle\sum\limits} \)
\( \newcommand{\dint}{\displaystyle\int\limits} \)
\( \newcommand{\dlim}{\displaystyle\lim\limits} \)
\( \newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\)
( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\)
\( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)
\( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\)
\( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)
\( \newcommand{\Span}{\mathrm{span}}\)
\( \newcommand{\id}{\mathrm{id}}\)
\( \newcommand{\Span}{\mathrm{span}}\)
\( \newcommand{\kernel}{\mathrm{null}\,}\)
\( \newcommand{\range}{\mathrm{range}\,}\)
\( \newcommand{\RealPart}{\mathrm{Re}}\)
\( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)
\( \newcommand{\Argument}{\mathrm{Arg}}\)
\( \newcommand{\norm}[1]{\| #1 \|}\)
\( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)
\( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\AA}{\unicode[.8,0]{x212B}}\)
\( \newcommand{\vectorA}[1]{\vec{#1}} % arrow\)
\( \newcommand{\vectorAt}[1]{\vec{\text{#1}}} % arrow\)
\( \newcommand{\vectorB}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)
\( \newcommand{\vectorC}[1]{\textbf{#1}} \)
\( \newcommand{\vectorD}[1]{\overrightarrow{#1}} \)
\( \newcommand{\vectorDt}[1]{\overrightarrow{\text{#1}}} \)
\( \newcommand{\vectE}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{\mathbf {#1}}}} \)
\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)
\( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)
\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)- accuracy
- for machine learning in general, a measure of the correctness of a machine learning model with respect to predictions.
- bias
- error introduced by overly-simplistic or overly-rigid models that do not capture important features of the data
- big data
- Extremely large and complex datasets that require special methods to handle
- binary (binomial) classification
- classification of data into one of two categories
- bootstrap aggregating (bagging)
- resampling from the same testing data multiple times to create a number of models (for example, decision trees) that all contribute to the overall model
- bootstrapping
- resampling portions of the data multiple times in order to generate a distribution that determines a confidence interval for parameters in a model
- centroid
- geometric center of a subset of points
- cluster
- a subset of a dataset consisting of points that have similar characteristics or are near one another
- confusion matrix
- table of values indicating how data was classified correctly or incorrectly by a given model. Entry in row i and column j gives the number of times (or percentage) that data with label i was classified by the model as label j
- data cleaning
- process of identifying and correcting errors, typos, inconsistencies, missing data, and other anomalies in a dataset
- data mining
- process of discovering patterns, trends, and insights from large datasets
- DBScan algorithm
- common density-based clustering algorithm
- decision tree
- classifier algorithm that builds a hierarchical structure where each internal node represents a decision based on a feature of the data, and each leaf node represents a final decision, label, or prediction
- density-based clustering algorithm
- clustering algorithm that builds clusters of relatively dense subsets
- depth
- number of levels of a decision tree, or equivalently, the length of the longest branch of the tree
- depth-limiting pruning
- pre-pruning method that restricts the total depth (number of levels) of a decision tree
- entropy
- measure of the average amount of information or uncertainty
- error-based (reduced-error) pruning
- pruning method that removes branches that do not significantly improve the overall accuracy of the decision tree
- F1 Score
- combination of precision and recall .
- facial recognition
- application of machine learning that involves categorizing or labeling images of faces based on the identities of individuals depicted in those images
- Gaussian naïve Bayes
- classification algorithm that is useful when variables are assumed to come from normal distributions
- heatmap
- shading or coloring of a table to show contrasts in low versus high values
- information gain
- comparison of entropy change due to adding child nodes to a parent node in a decision tree
- information theory
- framework for measuring and managing the uniqueness of data, or the degree of surprise or uncertainty associated with an event or message
- k-means clustering algorithm
- clustering algorithm that iteratively locates centroids of clusters
- labeled data
- data that has classification labels
- leaf-limiting pruning
- pre-pruning method that restricts the total number of leaf nodes of a decision tree
- likelihood
- measure of accuracy of a classifier algorithm, useful for setting up logistic regression models
- logistic regression
- modeling method that fits data to a logistic (sigmoid) function and typically performs binary classification
- logit function
- function of the form used to compute log-odds and transform data when performing logistic regression
- machine learning (ML) model
- any algorithm that trains on data to determine or adjust parameters of a model for use in classification, clustering, decision making, prediction, or pattern recognition
- mean absolute error (MAE)
- measure of error:
- mean absolute percentage error (MAPE)
- measure of relative error:
- mean squared error (MSE)
- measure of error:
- minimum description length (MDL) pruning
- post-pruning method that seeks to find the least complex form of a decision tree that meets an acceptable measure of accuracy
- multiclass (multinomial) classification
- classification of data into more than two categories
- multiple regression
- regression techniques that use more than one input variable
- naïve Bayes classification
- also known as multinomial naïve Bayes classification, a classification algorithm that makes use of prior probabilities and Bayes’ Theorem to predict the class or label of new data
- odds
- probability of an event occurring divided by the probability of not occurring
- one-hot encoding
- replacing categorical/text values in a dataset with vectors that contain a single 1 and all other entries being 0; each category vector has the 1 in a distinct place
- overfitting
- modeling using a method that yields high variance; the model captures too much of the noise and so may perform well on training data but very poorly on testing data
- precision
- ratio of true positive predictions to the total number of positive predictions:
- prior probability
- estimate of a probability, which may be updated or corrected based on Bayes’ Theorem
- pruning
- reducing the size of a decision tree by removing branches that split the data too finely
- random forest
- classifier algorithm that uses multiple decision trees and bootstrap aggregating
- recall
- ratio of true positive predictions to the total number of actual positives:
- regression tree
- type of decision tree in which the decisions are based on numerical comparisons of continuous data
- root mean squared error (RMSE)
- measure of error:
- sigmoid function
- function useful in logistic regression:
- silhouette score
- a measure of how well-separated the clusters are when using a clustering algorithm
- supervised learning
- machine learning methods that train on labeled data
- testing set (or data)
- portion of the dataset that is set aside and used after the training of the algorithm to test for accuracy of the model
- training set (or data)
- portion of the dataset that is used to train a machine learning algorithm
- underfitting
- modeling using a method that yields high bias; the model does not capture important features of the data
- unlabeled data
- data that has not been classified or for which classification data is not known yet
- unsupervised learning
- machine learning methods that do not require data to be labeled in order to learn; often, unsupervised learning is a first step in discovering meaningful clusters that will be used to define labels
- variance
- error due to an overly sensitive model that reacts to small changes in the data
- weak learners
- individual models that are trained on parts of the dataset and then combined in a bootstrap aggregating method such as random forest


