Business Intelligence Lecture 2 Summary

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Questions and Answers

What are the correct components of a graph model structure?

  • Vertices, Indexes, Connections
  • Edges, Weights, Vertices
  • Nodes, Edges, Labels for edges (correct)
  • Nodes, Paths, Lists

Which of the following represents a numeric form of graph representation?

  • Bar chart
  • Visual diagram
  • Adjacency matrix (correct)
  • Tree structure

Which type of graph is characterized by having two distinct sets of nodes connected by edges?

  • Connected graphs
  • Trees
  • Bipartite graphs (correct)
  • Directed graphs

What generic question can be asked regarding the properties of a graph?

<p>How many vertices and edges does the graph have? (C)</p> Signup and view all the answers

In a graph, what does a path represent?

<p>A series of nodes connected by edges (C)</p> Signup and view all the answers

Which term describes a connection between two nodes in a graph?

<p>Edge (B)</p> Signup and view all the answers

Which of the following represents a visual form of graph representation?

<p>Graph diagram (C)</p> Signup and view all the answers

In which type of graph do all nodes need to be reachable from one another?

<p>Connected graph (A)</p> Signup and view all the answers

What is an adjacency matrix used for in graph theory?

<p>To represent connections between nodes numerically (A)</p> Signup and view all the answers

Which type of graph is commonly used to represent relationships across two distinct sets of nodes?

<p>Bipartite graph (C)</p> Signup and view all the answers

Flashcards

Graph Structure

A way of representing data using nodes (vertices) and edges (connections).

Nodes (Vertices)

The individual components in a graph structure.

Edges

Connections between nodes in a graph.

Directed Edge

An edge with a specific direction.

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Undirected Edge

An edge without a specific direction.

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Graph Label

Information attached to an edge, describing the relationship between nodes.

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Adjacency Matrix

A numerical representation of a graph where cells show the existence of edges.

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Visual Representation

A graphical display of a graph structure.

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Trees

A hierarchal graph structure without cycles.

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Series-Parallel Networks

A graph structure with specific series and parallel connections.

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Bipartite Graph

A graph where nodes are divided into two disjoint sets, and edges only connect nodes in different sets.

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Connected Graph

A graph where all nodes have a path to each other.

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Path

A sequence of connected edges in a graph.

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Graph Properties

Characteristics of a graph, like connectivity or cycles.

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Graph Structure

A way to represent data with nodes and edges, showing relationships.

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Nodes (vertices)

Individual elements in a graph structure.

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Edges (connections)

Links between nodes in a graph representing relationships.

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Directed Edge

An edge with a specified direction.

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Undirected Edge

An edge without a specified direction.

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Graph Label

Info attached to an edge, defining relationship between nodes.

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Adjacency Matrix

Numerical representation of graph showing edges.

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Visual Representation

Graphical display of a graph structure.

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Tree (graph)

Hierarchical graph with no loops.

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Series-Parallel Networks

Graphs with specific connection patterns.

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Bipartite Graph

Graph with nodes in two disjoint sets.

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Connected Graph

All nodes reachable from each other.

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Path (graph)

Sequence of connected edges in a graph.

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Graph Properties

Features of a graph such as connectivity, cycles.

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Study Notes

Business Intelligence - Lecture 2 Summary

  • Model Definition: Models represent portions of a business process, enabling precise formulation of analytical questions.

  • Representation Function: Crucial for realizing the model's representation.

  • Model Language: Enables the proper formulation of representations.

  • Models of Phenomena: These models portray aspects of business processes relevant for analytical purposes.

  • Phenomena: Features within the business process of interest for analysis.

  • Caricatures: Models simplify phenomena for practical use.

  • Idealized Models: Models based on simplified processes like business operations, treatments, or course designs.

  • Analogical Models: Employ ideas from other scientific domains e.g., gravity model.

  • Phenomenological Models: Statistical models, like regression, are used.

  • Models of Data (Machine Learning/Data Mining): Learning the most appropriate models are critical for data analysis.

  • Models of Theories: Models representing formal systems (ontologies)

  • Understanding of formal systems: Defining theories from data instances.

  • Languages for Models: Specific languages like BPMN for process flow modeling exist.

  • Formulation of Models: Each language has specific semantic for defining model elements in a specific problem.

  • Model Structures (Syntax/Semantic):

    • Syntax: Defines basic elements and their combination rules.
    • Semantic: Defines the meaning of model elements independent of the domain.
    • Notation: Provides a clear way to communicate model expressions.
    • Model Elements: Specific components to represent the business process.
    • Generic Questions: Analytical inquiries regarding model elements.
  • Modeling (Conceptual Modeling): Mapping domain semantics into suitable model configurations.

  • Model Configuration: Allow for the formulation of analytical questions (admissible expressions).

  • Connections with Observations: Model configurations should align with business data observations.

  • Model Variability: Addresses the nuances and variations of real-world data. Statistical variability can affect data precision.

  • Model Quality (Assessment):

    • Correctness: Model structure and domain interpretation are correct.
    • Relevance: Model function meets intended purposes.
    • Economic Efficiency: Balance between model's complexity and cost.
    • Clarity: Model's ease of understanding.
    • Comparability: Model's ability to function within the overall analysis framework.
    • Objectivity: Results aren't affected by the user's biases.
    • Reliability: Consistent results.
    • Validity: Practical usefulness.
    • Content Validity: Model accurately reflects the essential features.
    • Criterion Validity: Correlation with other known methods.
    • Construct Validity: Ability to derive new insights from the model.
  • Models and Patterns:

    • Patterns: Describe local behaviors.
    • Models: Describe broader behaviors.
  • Graph Structures (Model Language):

    • Syntax: Includes nodes, directed and undirected edges (connections).
    • Notation: Numerical (e.g., adjacency matrices) and visual representations are employed.
    • Model Elements: Various graph structures (trees, networks, bipartite graphs).
    • Generic Questions: Queries about graph properties.
  • Data Generation:

    • Data Types: Transactional, administrative and web data are pertinent.
    • Population Definition: Defining the group or entity represented by the data (e.g. customers, reviews etc.).
    • Measurements: Precisely quantifying data qualities.

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