Agglomerative Hierarchical Clustering

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Questions and Answers

In agglomerative hierarchical clustering, what is the initial step in forming clusters?

  • Merging all data points into a single cluster.
  • Starting with each data point as its own cluster. (correct)
  • Randomly assigning data points to clusters.
  • Calculating the centroid of the data.

Euclidean distance is the only valid criterion for determining similarity between clusters in agglomerative hierarchical clustering.

False (B)

How does increasing the value of K affect the granularity of clusters in K-means clustering?

increasing K results in finer, more specific clusters

In K-means clustering, the algorithm aims to minimize the ______ within each cluster.

<p>variance</p>
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Match the association rule characteristic with the correct description:

<p>Support = Frequency of items occurring together Confidence = Likelihood of consequent given antecedent Lift = Strength of association compared to chance</p>
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Which of the following is a potential application of association rule mining in a retail setting?

<p>Identifying products frequently purchased together. (B)</p>
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Support, confidence, and lift are metrics used to evaluate clustering results.

<p>False (B)</p>
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In the context of association rules, what does a lift value greater than 1 indicate?

<p>positive correlation between items</p>
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The ______ metric measures the proportion of transactions that contain both the antecedent and the consequent.

<p>support</p>
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Match each machine learning model with its appropriate use case based on interpretability requirements:

<p>Decision Tree = Medical triage for clear decision-making Naive Bayes = Text-based prediction with probabilistic logic Deep Learning (CNN/RNN) = Voice recognition for complex pattern recognition</p>
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According to the provided table: which machine learning technique is suitable for building image-based binary tasks?

<p>Support Vector Machine (SVM) (A)</p>
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Based on the table provided, a decision tree is most robust when dealing with a noisy dataset.

<p>False (B)</p>
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Based on the table provided, what machine learning technique is ideal for transparent decision-making?

<p>Decision Tree</p>
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In the provided scenario of customers buying smartphones and tablets, ______ is the number of customers that purchase both an iPhone and a Samsung Galaxy Tab.

<p>45</p>
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Match the formula with the correct coefficient:

<p>Support = $ rac{Number of Transactions Containing Both X and Y}{Total Number of Transactions}$ Confidence = $ rac{Number of Transactions Containing Both X and Y}{Number of Transactions Containing X}$ Lift = $ rac{Confidence(X \rightarrow Y)}{Support(Y)}$</p>
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Based on the provided decision tree with the attributes of age, gender, device used, and time on website, which most influences whether a customer makes a purchase?

<p>Age (B)</p>
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Calculating the weighted average entropy is not required to find the Information Gain.

<p>False (B)</p>
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What is the formula for calculating Information Gain (IG)?

<p>$IG = Entropy(parent) - Weighted, average, Entropy(children)$</p>
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Based on the decision tree context, attributes that will influence the independent variable should be selected as ______ variables.

<p>independent</p>
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Match the evaluation metrics with the calculations based on the confusion matrix :

<p>Accuracy = ($TP + TN$) / ($TP + TN + FP + FN$) Precision = $TP$ / ($TP + FP$) Recall = $TP$ / ($TP + FN$) Error Rate = ($FP + FN$) / ($TP + TN + FP + FN$)</p>
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Flashcards

Agglomerative Hierarchical Clustering (AHC)

A clustering method that starts with each data point in its own cluster and iteratively merges the most similar clusters until all points are in a single cluster.

Dendrogram

A diagram representing the arrangement of clusters produced by hierarchical clustering.

Similarity Criteria in Clustering

Measures used to quantify the similarity or dissimilarity between data points or clusters (e.g., Euclidean distance, Manhattan distance).

K-Means Clustering

An iterative clustering algorithm that aims to partition n data points into k clusters in which each data point belongs to the cluster with the nearest mean (cluster center).

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Confidence (Association Rule)

A measure indicating how often items in Y appear together in transactions that contain X.

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Lift (Association Rule)

A measure indicating how much more likely Y is purchased when X is purchased, compared to the likelihood of purchasing Y on its own.

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Support (Association Rule)

Measure that indicates the percentage of transactions that contain both X and Y items.

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Interpretability

A model's ability to provide clear and understandable explanations for its decisions, especially to non-technical stakeholders.

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Error Rate

The error rate is the misclassification rate.

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Accuracy

The fraction of predictions our model got right.

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Precision

Probability that the items you flag are actually relevant.

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Recall

Out of all the items that are truly relevant, how many did you flag?

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F1 Score

Useful single measure that combines Precision and Recall to provide a single score.

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Dependent Variable

The variable being predicted or analyzed in a study; its value depends on other/independent variables

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Independent Variable

Variables that are changed or controlled in a scientific experiment to test their effects on another variable.

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Study Notes

Agglomerative Hierarchical Clustering (AHC)

  • AHC starts with each data point as its own cluster.
  • The algorithm merges the two most similar clusters iteratively.
  • The process repeats until all points are in a single cluster.

Determining Similarity Between Clusters

  • Criteria to determine similarity include Euclidean distance and Manhattan distance.
  • The choice of criteria depends on data characteristics and application goals.

Dendrogram Interpretation

  • Based on the provided dendrogram, clusters can be assessed for similarity by their linkage distance.
  • The shorter the vertical lines connecting clusters, the more similar they are.

Dendrogram and Linkage Methods

  • Different linkage methods (e.g., single linkage vs. complete linkage) change dendrogram structure.
  • Single linkage considers the shortest distance between points in clusters.
  • Complete linkage considers the longest distance between points in clusters.

Practical Applications of Hierarchical Clustering

  • Applications include customer segmentation and document clustering.
  • The method benefits real-world scenarios by revealing inherent data structures.

K-Means Clustering

  • K-means algorithm aims to determine optimal grouping based on height and width in the input dataset.
  • The algorithm typically minimizes the within-cluster variance
  • The output is a grouping of the individuals

Targeted Marketing Strategies

  • Clusters can be applied to develop targeted marketing strategies for different body types.
  • Marketing approaches can be tailored to specific clusters.

Challenges and Limitations

  • Potential challenges arise when using only height and width as features for clustering.
  • The challenges may be due to the non-uniqueness of height and weight combination.

Multi-Item Association Rules

  • Association rule mining identifies relationships between items in a dataset.
  • Rules are typically expressed in the form of "If A, then B".

Usefulness for Marketing Activities

  • Association rules can be useful for marketing activities such as poster design.
  • They are useful for menu customization and setting pricing strategies.
  • Association rules are also useful for promotional campaigns.
  • For example, discovering that customers who buy avocados, tortilla chips, and salsa also tend to buy guacamole mix and lime may prompt a grocery store to place these items near each other.
  • Customers would then be more likely to purchase all mentioned ingredients at once.

Usefulness for Logistics/Warehousing

  • Association rules can be useful for logistics and warehousing management.
  • It enables controlling inventory levels while maintaining appropriate supply and demand.
  • The logistics example might involve identifying the associations of product that a customer is very likely to purchase together.
  • The business can prepare its supply chain and plan the deliveries for all items at once.

Poster Design

  • Design a poster for a grocery store that promotes the associations found in the dataset.
  • The poster should recommend common product combinations with discounted prices.

Shelf Arrangement Layout

  • Design a shelf arrangement layout based on the dataset patterns.
  • An example is placing items frequently bought together near each other.

Promotional Pricing Strategy

  • Set a promotional pricing strategy based on association rules.
  • An example would involve discounting items with strong associations.

Extraction of Valuable Information from Clustering Data

  • Extract valuable similarities from a clustering structure and use it for real-world marketing purpose.
  • Extract valuable dissimilarities from a clustering structure and use it for real-world marketing purpose.
  • Valuable similarities are found when high ratings are found across items in the same cluster.
  • Dissimilarities are found when ratings differ across clusters.

Valuable Similarities

  • Identify which categories in the clustering table exhibit similarities
  • Use these similarities for product placement.

Valuable Dissimilarities

  • Identify categories that have low ratings

Real Marketing Purposes

  • Use valuable similarities
  • Product placement
  • Marketing deals

Model Interpretability

  • A model's interpretability is crucial for explaining decisions to non-technical stakeholders.
  • The transparency determines the acceptance of the model.

Dealing with Noisy Data

  • When handling complex datasets with a lot of noise, the models that apply tree-based methods are often much more robust.
  • Tree-based methods benefit from the wisdom of crowds.

Quick Classification Task

  • For a quick and simple classification task on a low-resource system, a basic technique is most suitable
  • Basic techniques are e.g. linear models

Influence of Individual Features

  • Analyzing the influence of individual features on the outcome is an important step for model development.
  • Understanding feature importance enables better models and insights

Model for Facial Recognition

  • When a model is developed for facial recognition in a mobile app-deep learning is a practical approach.
  • Deep learning can be used for more complex recognition tasks

Calculating Support

  • Support is the fraction of transactions that contain all items in the rule.
  • Support reveals how frequently the itemset occurs in the dataset.

Calculating Confidence

  • Confidence is the proportion of transactions containing X that also contain Y.
  • It measures the reliability of the association rule.

Calculating Lift

  • Lift measures how much more likely Y is purchased when X is purchased.
  • It assesses the strength of the association between X and Y.

Individual Entropy

  • Calculate the individual entropy at each node and leaf of the tree.
  • Entropy measures the impurity or uncertainty in a set of instances.

Weighted Average Entropy

  • Compute the weighted average entropy at each level of the tree.
  • Weighted average entropy considers the proportion of instances in each branch.

Information Gain

  • Calculate the Information Gain (IG) for each split.
  • IG represents the reduction in entropy achieved by splitting on an attribute.

Interpretation of Information Gain

  • Interpret the Information Gain (IG) value
  • Determine if it was worthwhile to apply decision tree modeling to this dataset.
  • IG is used to select the best attribute for splitting.

Confusion Matrix

  • Complete the "Confusion Matrix" for Layer 2 based on the given decision tree model
  • A confusion matrix summarizes the performance of a classification model.

Evaluation Metrics

  • Calculate the following metrics using the completed "Confusion Matrix" for Layer 2:
    • Error Rate
    • Accuracy
    • Precision
    • Recall
    • F1 Score
  • These metrics provide insights into the model's performance.

Variables for E-Commerce Company

  • Identify the dependent variable (Label) for the e-commerce company, being whether a customer will make a purchase.
  • Identify which other variables/attributes should be selected as independent variables.
  • Independent variables are used to predict the dependent variable.

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