Search

A

A-posteriori Probability → Bayes' Theorem A-priori Probability → Bayes' Theorem ACID ACID Properties → ACID Add-Epsilon Smoothing → Laplace Smoothing Add-One Smoothing → Laplace Smoothing Additive Smoothing → Laplace Smoothing Advanced Databases and Information Systems Advanced SPARQL AJAX → AJAX and Fetch API AJAX and Fetch API Analysis AP → Average Precision Arithmetic Mean → Sample Mean Arithmetisches Mittel → Sample Mean Asymptotic Unbiasedness → Asymptotically Unbiased Estimator Asymptotically Unbiased → Asymptotically Unbiased Estimator Asymptotically Unbiased Estimator Asymptotisch erwartungstreuer Schätzer → Asymptotically Unbiased Estimator Asymptotische Erwartungstreue → Asymptotically Unbiased Estimator Average → Sample Mean Average of Ratios → Simple Approach Estimator Average Precision

B

B+ Tree B+-Tree → B+ Tree Bayes Rule → Bayes' Theorem Bayes Theorem → Bayes' Theorem Bayes' Law → Bayes' Theorem Bayes' Rule → Bayes' Theorem Bayes' Theorem Bedingte Wahrscheinlichkeit → Conditional Probability Benchmark → Ground Truth Bessel's Correction → Sample Variance Best Match 25 → BM25 Bias → Estimator Biased → Unbiased Estimator Biased Estimator → Unbiased Estimator Bigram Model → N-Gram Model Binary Preference → BPref BIND → SPARQL BIND BM25 BPref bpref → BPref Bytes vs. Strings → Character Encoding

C

Cartesian Product Character Encoding Characteristic Polynomial → Eigenvalue Charakteristisches Polynom → Eigenvalue Charset → Character Encoding Code Injection → Code Injection Protection Code Injection Protection Conditional Density → Conditional Probability Conditional PDF → Conditional Probability Conditional Probability Consistency → Consistent Estimator Consistent → Consistent Estimator Consistent Estimator Continuous Uniform Distribution → Uniform Distribution Correlation Correlation Coefficient → Correlation CORS → Same-Origin Policy cos-similarity → Cosine Similarity Cosine Similarity cov → Covariance Matrix Covariance Covariance Matrix Covariance Operator → Covariance Matrix Cross Product → Cartesian Product Cross-Origin Resource Sharing → Same-Origin Policy Cross-Product → Cartesian Product Cross-Site Scripting → Code Injection Protection CSS → HTML Structure

D

Databases and Information Systems DCG → Discounted Cumulative Gain DCG and nDCG → Discounted Cumulative Gain Decision Boundary → Linear Classifier Density Function → Probability Density Function Dependent → Statistical Independence det → Determinant Determinant Determinante → Determinant Determinants and Eigenvalues Dichtefunktion → Probability Density Function Discounted Cumulative Gain Document Expansion → LSI Ranking Document Object Model → DOM Manipulation DOM → DOM Manipulation DOM Manipulation

E

ED → Edit Distance Edit Distance Eigenbasis → Eigenvector Eigenraum → Eigenvector Eigenspace → Eigenvector Eigenspectrum → Eigenvalue Eigenvalue Eigenvalues → Eigenvalue Eigenvalues and Eigenvectors → Determinants and Eigenvalues Eigenvector Eigenvectors → Eigenvector Eigenvektor → Eigenvector Eigenwert → Eigenvalue Elias-Delta Code Elias-Gamma Code Embedding Embeddings → Embedding Empirical Mean → Sample Mean Empirical Variance → Sample Variance Empirische Varianz → Sample Variance Encodings and Compression Entropy Entropy-Optimal Code Error in Variables → Error-in-Variables Estimator Error-in-Variables → Error-in-Variables Estimator Error-in-Variables Estimator Errors-in-Variables Estimator → Error-in-Variables Estimator Erwartungstreue → Unbiased Estimator Erwartungstreuer Schätzer → Unbiased Estimator Erwartungswert → Expected Value Estimate → Estimator Estimator EV Estimator → Error-in-Variables Estimator Evaluation Expectation → Expected Value Expectation Operator → Expected Value Expectation Value → Expected Value Expected Value Experimental Mean → Sample Mean Exponential Search

F

fetch → AJAX and Fetch API Fetch API → AJAX and Fetch API Funktionalmatrix → Jacobian Matrix Fuzzy Prefix Search → Fuzzy Search Fuzzy Search Fuzzy Search and Q-Grams

G

Galloping Search → Exponential Search Gap Encoding Gauss Distribution → Normal Distribution Gauß-Verteilung → Normal Distribution Gaussian → Normal Distribution Gaussian Distribution → Normal Distribution Gaussian Random Vector → Multivariate Normal Distribution Gesetz der großen Zahlen → Law of Large Numbers Gleichverteilung → Uniform Distribution Golomb Code Ground Truth GROUP BY (SPARQL) → SPARQL Aggregation group-by(T, cols, agg)

H

Hidden Markov Model HMM → Hidden Markov Model Homomorphismus → Linear Map HTML → HTML Structure HTML Form HTML Forms → HTML Form HTML Structure HTTP → HTTP Protocol HTTP Protocol HTTP Server

I

idf → TF-IDF Independence → Statistical Independence Independent Events → Statistical Independence Independent Random Variables → Statistical Independence Index B+ Tree → B+ Tree Inner Products and Norms Inverse Document Frequency → TF-IDF Inverse Matrix → Invertible Matrix Inverted Index Inverted Index and Ranking Invertible Matrix Invertierbare Matrix → Invertible Matrix

J

Jacobi Matrix → Jacobian Matrix Jacobi-Matrix → Jacobian Matrix Jacobian → Jacobian Matrix Jacobian Matrix Join $T_1 \bowtie T_2$ Joint PDF → Probability Density Function Joint Probability → Conditional Probability

K

Konsistenter Schätzer → Consistent Estimator Konsistenz → Consistent Estimator Korrelation → Correlation Korrelationskoeffizient → Correlation Kovarianz → Covariance Kovarianzmatrix → Covariance Matrix

L

Lagrange Multiplier → Lagrange Multipliers Lagrange Multipliers Lagrangian → Lagrange Multipliers Lagrangian Optimization → Lagrange Multipliers Language Model Laplace Smoothing Large Language Model Large Language Models → Large Language Model Latent Semantic Indexing Latent Semantic Indexing Method → LSI Ranking Law of Large Numbers Least Squares → Least Squares Estimator Least Squares Estimator Levenshtein Distance → Edit Distance LGS → System of Linear Equations Linear Algebra Linear Classifier Linear Classifiers and Logistic Regression Linear Equation System → System of Linear Equations Linear Function → Linear Map Linear Least Squares Estimator → Least Squares Estimator Linear Map Linear Separability → Linear Classifier Linear System → System of Linear Equations Linear Transformation → Linear Map Lineare Abbildung → Linear Map Lineares Gleichungssystem → System of Linear Equations List Intersection List Intersection and Search LLM → Large Language Model LLN → Law of Large Numbers LLS → Least Squares Estimator Logistic Regression Low-Rank Approximation → Singular Value Decomposition Low-Rank Approximation of the Term-Document Matrix → LSI Ranking LS Estimator → Least Squares Estimator LSI → LSI Ranking LSI Ranking

M

MAP → Mean Average Precision Marginal Distribution → Probability Density Function Matrix Rank Maximum Likelihood → Maximum Likelihood Estimation Maximum Likelihood Estimation Mean → Expected Value Mean and Covariance → Moments of Random Variables Mean and Variance → Moments of Random Variables Mean Average Precision Mean Squared Deviation → Sample Variance Mean Value → Expected Value Media Type → HTTP Protocol Mediator Entity → Reification Mehrdimensionale Differentialrechnung → Multivariable Differentiation Mehrdimensionale Normalverteilung → Multivariate Normal Distribution Merge Join Method of Least Squares → Least Squares Estimator MIME Type → HTTP Protocol Mittelwert → Sample Mean MLE → Maximum Likelihood Estimation Modelling and System Identification Momente → Moments of Random Variables Moments of Random Variables More SPARQL → Advanced SPARQL MP@k → Mean Average Precision MP@R → Mean Average Precision Multidimensional Gaussian → Multivariate Normal Distribution Multidimensional Normal Distribution → Multivariate Normal Distribution Multinomial Naive Bayes → Naive Bayes Classifier Multivariable Calculus → Multivariable Differentiation Multivariable Differentiation Multivariate Gaussian → Multivariate Normal Distribution Multivariate Normal Distribution Multivariate Normalverteilung → Multivariate Normal Distribution

N

N-Gram Model N-gram Model → N-Gram Model Naive Bayes → Naive Bayes Classifier Naive Bayes Classification Naive Bayes Classifier nDCG → Discounted Cumulative Gain Network Socket Neural Language Model → Language Model Nonsingular Matrix → Invertible Matrix Normal Distribution Normalized Discounted Cumulative Gain → Discounted Cumulative Gain Normally Distributed → Normal Distribution Normalverteilung → Normal Distribution

O

Okapi BM25 → BM25 One-Hot Encoding OPTIONAL → Optional Graph Pattern Optional Graph Pattern ORDER BY → Ordering Ordering Overfitting (IR Evaluation)

P

P@k → Precision at k P@R → Precision at k Parameter Estimation → Point Estimation PDF → Probability Density Function PED → Prefix Edit Distance Percent-Encoding → URL Encoding Perceptron Perceptron Algorithm → Perceptron Point Estimation Point Estimator → Estimator POS-Tagging Positiv definite Matrix → Positive Semidefinite Matrix Positiv semidefinite Matrix → Positive Semidefinite Matrix Positive Definite Matrix → Positive Semidefinite Matrix Positive Semi-Definite Matrix → Positive Semidefinite Matrix Positive Semidefinite Matrix Positive Semidefiniteness → Positive Semidefinite Matrix Precision at k Precision at R → Precision at k Prefix Code → Prefix-Free Code Prefix Edit Distance Prefix-Free Code Probability and Statistics Probability Basics → Random Variables and Distributions Probability Density → Probability Density Function Probability Density Function Probability Theory → Random Variables and Distributions Properties of Estimators → Point Estimation Property Path Property Paths → Property Path PSD Matrix → Positive Semidefinite Matrix Punktschätzung → Point Estimation

Q

Q-Gram Q-Gram Index Q-Gram Lemma Q-Grams → Q-Gram Query Optimization Query Plan

R

R_EV → Error-in-Variables Estimator R_LS → Least Squares Estimator R_SA → Simple Approach Estimator RAG → Retrieval-Augmented Generation Random Variable Random Variables → Random Variable Random Variables and Distributions Random Vector → Random Variable Rang → Matrix Rank Rang einer Matrix → Matrix Rank Rank → Matrix Rank Rank and Invertibility Rank-k Approximation → Singular Value Decomposition RDF Triple RDF Triples → RDF Triple Reduced SVD → Singular Value Decomposition Regular Matrix → Invertible Matrix Reguläre Matrix → Invertible Matrix Reification Relational Algebra Relational Model Relevance Judgments → Ground Truth Resistance Estimation → Resistance Estimation Example Resistance Estimation Example Resistor Example → Resistance Estimation Example Retrieval-Augmented Generation

S

SA Estimator → Simple Approach Estimator Same-Origin Policy Sample Mean Sample Variance Satz von Bayes → Bayes' Theorem Schätzer → Estimator Schätzfunktion → Estimator Schätztheorie → Point Estimation Schätzwert → Estimator Search Server → HTTP Server Shannon Entropy → Entropy Sigmoid Simple Approach → Simple Approach Estimator Simple Approach Estimator Singular Matrix → Invertible Matrix Singular Value Decomposition Singular Values → Singular Value Decomposition Singulärwertzerlegung → Singular Value Decomposition Socket → Network Socket Socket Communication → Network Socket Softmax SOP → Same-Origin Policy Sort-Merge Join → Merge Join SPARQL Aggregation SPARQL and Knowledge Graphs SPARQL BIND SPARQL OPTIONAL → Optional Graph Pattern SPARQL Query Structure SPARQL to SQL Translation Sparse Matrices → Sparse Matrix Sparse Matrix Spatial Join Spectrum → Eigenvalue SQL and Query Planning SQL Query Structure Standard Deviation → Variance Standard Normal Distribution → Normal Distribution Standardabweichung → Variance Statement Node → Reification Statistical Estimator → Estimator Statistical Estimators → Point Estimation Statistical Independence Stetige Gleichverteilung → Uniform Distribution Stichprobenmittel → Sample Mean Stichprobenvarianz → Sample Variance Stochastic Independence → Statistical Independence Stochastische Unabhängigkeit → Statistical Independence Streuung → Variance Strong Law of Large Numbers → Law of Large Numbers Subqueries → Subquery Subquery SVD → Singular Value Decomposition System of Linear Equations

T

Term Frequencies → Term Frequency Term Frequency tf → Term Frequency TF-IDF tf.idf → TF-IDF tfidf → TF-IDF Trigram Model → N-Gram Model Truncated SVD → Singular Value Decomposition

U

Unabhängigkeit → Statistical Independence Unary Code Unbiased → Unbiased Estimator Unbiased Estimator Unbiasedness → Unbiased Estimator Uncorrelated → Correlation Uniform Distribution Uniform PDF → Uniform Distribution Unigram Model → N-Gram Model Unkorreliert → Correlation Unverzerrter Schätzer → Unbiased Estimator URL Decoding → URL Encoding URL Encoding UTF-8

V

Variance Variance-Covariance Matrix → Covariance Matrix Varianz → Variance Vector Space Model Viterbi → Viterbi Algorithm Viterbi Algorithm VL01 – Introduction VL01 – Introduction, Inverted Index, Zipf's Law VL01 – Overview, RDF & SPARQL, more SPARQL VL02 – Probability and Statistics in a Nutshell VL02 – Ranking and Evaluation VL03 – Database Basics VL04 – Query Planning Basics VL05 – Joins and more SQL VL06 – Indexing, Query Optimization, ACID VL07 – Knowledge Graphs, SPARQL, SPARQL to SQL VL08 – Fuzzy Search, Prefix Edit Distance, Q-Gram Index VL09 – Web Applications, Part 1 VL10 – Web Applications, Part 2 VL11 – Vector Space Model, Word Embeddings VL12 – N-gram Models, LLMs, RAG VL13 – Evaluation, Exam, Work in our Group VSM → Vector Space Model

W

Wahrscheinlichkeitsdichte → Probability Density Function Wahrscheinlichkeitsrechnung → Random Variables and Distributions Weak Law of Large Numbers → Law of Large Numbers Web Applications Web Server → HTTP Server Wikidata Prefix System Word Embeddings and Language Models

X

XSS → Code Injection Protection

Z

Zipf → Zipf's Law Zipf's Law Zufallsgröße → Random Variable Zufallsvariable → Random Variable Zufallsvektor → Random Variable