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Analysis
2
Topics
1
Multivariable Differentiation
Concepts
1
Jacobian Matrix
Linear Algebra
13
Topics
3
Determinants and Eigenvalues
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10
Cosine Similarity
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Probability and Statistics
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Moments of Random Variables
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Asymptotically Unbiased Estimator
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Variance
Semesters
WiSe 2026/27
2
Advanced Databases and Information Systems
7
Lectures
1
VL01 – Overview, RDF & SPARQL, more SPARQL
Topics
1
Advanced SPARQL
Concepts
5
Optional Graph Pattern
Property Path
SPARQL Aggregation
SPARQL BIND
Spatial Join
Modelling and System Identification
6
Lectures
2
VL01 – Introduction
VL02 – Probability and Statistics in a Nutshell
Topics
1
Resistance Estimation Example
Concepts
3
Error-in-Variables Estimator
Least Squares Estimator
Simple Approach Estimator
WiSe 2025/26
1
Databases and Information Systems
104
Lectures
13
VL01 – Introduction, Inverted Index, Zipf's Law
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
Topics
13
Encodings and Compression
Evaluation
Fuzzy Search and Q-Grams
Inverted Index and Ranking
Latent Semantic Indexing
Linear Classifiers and Logistic Regression
List Intersection and Search
Naive Bayes Classification
POS-Tagging
SPARQL and Knowledge Graphs
SQL and Query Planning
Web Applications
Word Embeddings and Language Models
Concepts
78
ACID
AJAX and Fetch API
Average Precision
B+ Tree
BM25
BPref
Cartesian Product
Character Encoding
Code Injection Protection
Discounted Cumulative Gain
DOM Manipulation
Edit Distance
Elias-Delta Code
Elias-Gamma Code
Embedding
Entropy
Entropy-Optimal Code
Exponential Search
Fuzzy Search
Gap Encoding
Golomb Code
Ground Truth
group-by(T, cols, agg)
Hidden Markov Model
HTML Form
HTML Structure
HTTP Protocol
HTTP Server
Inverted Index
Join $T_1 \bowtie T_2$
Lagrange Multipliers
Language Model
Laplace Smoothing
Large Language Model
Linear Classifier
List Intersection
Logistic Regression
LSI Ranking
Maximum Likelihood Estimation
Mean Average Precision
Merge Join
N-Gram Model
Naive Bayes Classifier
Network Socket
One-Hot Encoding
Ordering
Overfitting (IR Evaluation)
Perceptron
Precision at k
Prefix Edit Distance
Prefix-Free Code
Q-Gram
Q-Gram Index
Q-Gram Lemma
Query Optimization
Query Plan
RDF Triple
Reification
Relational Algebra
Relational Model
Retrieval-Augmented Generation
Same-Origin Policy
Sigmoid
Softmax
SPARQL Query Structure
SPARQL to SQL Translation
Sparse Matrix
SQL Query Structure
Subquery
Term Frequency
TF-IDF
Unary Code
URL Encoding
UTF-8
Vector Space Model
Viterbi Algorithm
Wikidata Prefix System
Zipf's Law
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WiSe 2025/26
Semester
WiSe 2025/26
1
course
Course · DBIS
Databases and Information Systems
Prof. H. Bast · EN · exam Tue 17 Mar 2026
13
lecture notes
13
topics
78
concepts
3
foundation notes used
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