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Questions and Answers

Which of the following is the primary distinction between supervised and unsupervised machine learning?

  • Supervised learning is used for dimensionality reduction, while unsupervised learning is used for classification.
  • Unsupervised learning is generally more accurate than supervised learning.
  • Supervised learning requires labeled data for training, while unsupervised learning does not. (correct)
  • Supervised learning uses more computational resources than unsupervised learning.

In the context of machine learning, what does 'explicit programming' refer to?

  • Creating algorithms that automatically learn from data.
  • Developing software that requires manual data input from users.
  • Writing code that directly dictates the steps a computer must take to solve a specific problem. (correct)
  • Using a high-level programming language such as Python or Java.

What is the role of a mathematical model in machine learning?

  • To define the relationship between features and labels or to uncover patterns in the data. (correct)
  • To ensure compatibility between different programming languages.
  • To encrypt the data for security purposes.
  • To provide a visual representation of the data.

Which task is best suited for unsupervised learning?

<p>Grouping customers into distinct segments based on their purchasing behavior. (C)</p> Signup and view all the answers

Which of the following statements best describes the use of features and labels in supervised learning?

<p>Features are used to train the model, while labels are predicted by the model. (D)</p> Signup and view all the answers

Consider a machine learning task where the goal is to identify different species of flowers based on measurements of their sepal and petal length. Would this task be categorized as supervised or unsupervised learning, and why?

<p>Supervised learning, because each flower is assigned a label indicating its species. (C)</p> Signup and view all the answers

In the context of the examples provided, what type of machine learning task would determining whether an image contains a square, triangle, or circle be classified as?

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

Why is it important for machine learning models to learn patterns from data rather than being explicitly programmed for every possible scenario?

<p>Explicit programming can be difficult or impossible for scenarios where all rules are not known or change frequently. (C)</p> Signup and view all the answers

What is the primary objective of the K-means algorithm?

<p>To minimize the within-cluster sum of squares (WCSS). (C)</p> Signup and view all the answers

In the K-means algorithm, what does a centroid represent?

<p>The average position of all data points within a cluster. (B)</p> Signup and view all the answers

Which of the following is a limitation of the K-means algorithm?

<p>Its sensitivity to the initial placement of centroids. (C)</p> Signup and view all the answers

Which step is NOT part of the K-means clustering algorithm?

<p>Calculating the silhouette score for each data point. (B)</p> Signup and view all the answers

What does the Elbow Method help determine in K-means clustering?

<p>The optimal number of clusters (k). (D)</p> Signup and view all the answers

What type of machine learning is K-means?

<p>Unsupervised Learning (A)</p> Signup and view all the answers

Assuming $n$ is the number of data points, $k$ is the number of clusters, $d$ is the number of dimensions, and $t$ is the number of iterations, what is the time complexity of the K-means algorithm?

<p>$O(n \cdot k \cdot d \cdot t)$ (B)</p> Signup and view all the answers

Which scenario would NOT be appropriate for using the K-means algorithm?

<p>Predicting stock prices based on historical data. (C)</p> Signup and view all the answers

Which of the following is a key difference between K-Means and DBSCAN?

<p>K-Means requires pre-defining the number of clusters, while DBSCAN can automatically determine the number of clusters. (D)</p> Signup and view all the answers

In DBSCAN, what is the significance of the 'min_samples' parameter?

<p>It specifies the minimum number of data points required to form a cluster. (B)</p> Signup and view all the answers

A data point is classified as 'noise' by DBSCAN if:

<p>It is not a core point and does not have any core points within its ε-neighborhood. (C)</p> Signup and view all the answers

What is an ε-neighborhood in the context of DBSCAN?

<p>All points within a specified radius ε of a given point. (B)</p> Signup and view all the answers

DBSCAN struggles when:

<p>Clusters have significantly different densities. (B)</p> Signup and view all the answers

Which of the following is a direct result of the 'curse of dimensionality' on DBSCAN?

<p>Distance metrics become less meaningful, impacting the accuracy of density estimation. (D)</p> Signup and view all the answers

For a dataset where clusters are expected to have highly irregular shapes and varying densities, which clustering algorithm is more appropriate?

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

Given ε=0.5 and min_samples=5, a point p has 4 neighbors within its ε-neighborhood. According to DBSCAN, point p is considered:

<p>A border point if at least one of its neighbors is a core point. (B)</p> Signup and view all the answers

In DBSCAN, what is the primary challenge associated with 'border points'?

<p>Border points may be ambiguously assigned to multiple clusters depending on parameter settings. (A)</p> Signup and view all the answers

Which of the following is a key difference in how K-Means and DBSCAN handle noise or outliers in a dataset?

<p>DBSCAN explicitly detects outliers as noise, whereas K-Means forces all points into one of the k clusters. (B)</p> Signup and view all the answers

Why might PCA be applied as a preprocessing step before using K-Means clustering on high-dimensional data?

<p>To reduce the impact of the curse of dimensionality by reducing noise and redundancy before clustering. (D)</p> Signup and view all the answers

Which statement accurately describes the impact of parameter selection in DBSCAN?

<p>The selection of epsilon (ε) and min_samples parameters significantly influences the clusters formed and noise identified by DBSCAN. (A)</p> Signup and view all the answers

What is the primary goal of Principal Component Analysis (PCA)?

<p>To identify directions of maximum variance in the data, creating new uncorrelated features. (B)</p> Signup and view all the answers

Consider a dataset where clusters have varying densities. Which of the following algorithms would likely struggle to produce accurate clusters without significant parameter tuning?

<p>K-Means (C)</p> Signup and view all the answers

You have a dataset with a large number of features and suspect that many are redundant. Which dimensionality reduction technique would be most suitable if you want to retain the original interpretability of the features?

<p>Feature Agglomeration (A)</p> Signup and view all the answers

Which of the following is a valid application of unsupervised learning techniques?

<p>Grouping customers into distinct segments based on their purchasing behavior. (A)</p> Signup and view all the answers

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Flashcards

Machine Learning

Learning patterns from data to make predictions/decisions without explicit programming.

Mathematical Model

A representation of data that allows a machine learning model to learn and make predictions.

Supervised Learning

Learning with labeled data, where the algorithm learns a mapping from inputs to outputs.

Unsupervised Learning

Learning from unlabeled data, discovering hidden patterns without specific output guidance.

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Clustering

Grouping similar data points into clusters based on their inherent features.

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K-Means

An unsupervised algorithm that groups data into K clusters based on minimizing the distance to centroids.

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DBSCAN

Density-Based Spatial Clustering of Applications with Noise; groups together points that are closely packed together, marking as outliers points that lie alone in low-density regions.

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Dimensionality Reduction

Reducing the number of variables in a dataset while retaining important information.

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What is Clustering?

Learning from unlabeled data to find inherent groupings or clusters.

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What is K-Means Clustering?

An unsupervised algorithm that groups data into k distinct clusters based on feature similarity by iteratively refining centroid positions.

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What are Centroids?

Points representing the 'center' of each cluster in K-means, whose positions are iteratively refined.

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What is the Elbow Method?

An approach used in k-means to determine the optimal number of clusters by plotting the WCSS against different values of k.

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What is WCSS?

The sum of the squared distances between each data point and its assigned centroid; K-Means aims to minimize this.

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Steps of K-Means Clustering

  1. Initialize centroids 2) Assign points to closest centroid, 3) Re-calculate the centroids by averaging the points in each cluster. Repeat steps 2 and 3 until convergence.
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What is K-Means Convergence?

Iteratively assigning data points to the nearest centroid and recalculating centroids until cluster assignments stabilize

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K-Means: Strengths and Limitations

K-Means is simple and efficient for large datasets with spherical clusters, but requires manual k selection and is sensitive to initialization.

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What is DBSCAN?

Density-Based Spatial Clustering of Applications with Noise. Identifies clusters as dense regions separated by sparse areas and excels at detecting irregularly shaped clusters and automatically filtering noise.

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What is ε-neighborhood?

All points within a specified radius (ε) of a given point.

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What is a Core Point?

A point with a minimum number of neighbors (min_samples) within its ε-neighborhood.

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What is a Border Point?

A non-core point that falls within the ε-neighborhood of a core point.

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What is Noise in DBSCAN?

Points that are neither core nor border points.

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k-distance graphs

Parameter selection method that leverages k-distance graphs to empirically determine a suitable ε value.

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Shape Flexibility in Clustering

DBSCAN excels at capturing complex, non-linear cluster shapes by focusing on local density. K-means struggles with this, as it assumes clusters are spherical.

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Noise Robustness

Data points that do not belong to any cluster. DBSCAN is able to automatically identify and filter out some outlier data points.

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Border Point Ambiguity

In DBSCAN, points on the edge of a cluster may be assigned to multiple clusters due to density reachability.

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K-Means Clustering

A clustering algorithm that groups data points into k clusters based on their distance from the centroid of the cluster.

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Curse of Dimensionality

A high number of dimensions that can lead to sparse data and increased computational complexity.

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Principal Component Analysis (PCA)

Identifies the directions of maximum variance in the data, called principal components.

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PCA Goal

Finds projections in data to maximize variance.

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Study Notes

  • Machine learning enables computers to learn patterns and make predictions from data without explicit programming.

Supervised vs Unsupervised Machine Learning

  • Supervised learning involves training a model on a labeled dataset, where each input is paired with a correct output.
  • The model learns to map inputs to outputs, allowing it to predict labels on new, unseen data.
  • In unsupervised learning, a model is trained on an unlabeled dataset, where the algorithm learns to identify patterns, structures, and relationships in the data without explicit guidance.
  • K-means and DBSCAN are types of clustering
  • PCA or Principal Component Analysis is a type of Dimensionality reduction

Clustering

  • Clustering is the process of grouping similar data points into clusters based on inherent similarities in the data.
  • Clustering algorithms aim to maximize the similarity within clusters and minimize the similarity between clusters.

K-Means

  • K-means clustering is an unsupervised learning algorithm that groups unlabeled data into distinct clusters based on feature similarity, with "K" representing the number of clusters.
  • K-means identifies clusters by iteratively refining centroid positions, which are points representing the "centre" of each cluster.
  • The algorithm assumes that data points closer to a centroid belong to the same group, mimicking how humans naturally categorize objects spatially.
  • The goal of K-means is to minimize the within-cluster sum of squares (WCSS), a measure of the squared distances between data points and their respective centroid.
  • The process involves initializing centroids, assigning points to clusters, and recalculating centroids until convergence is reached and clusters no longer move.
  • Strengths of K-Means: simplicity, easy to implement and interpret, efficiency, has linear time complexity O(n·k.dt), and versatility
  • Weaknesses of K-Means: manual selection, sensitivity to initialization, and assumption of spherical clusters.

K-Means Elbow Method

  • It allows for optimal “k” selection (number of clusters
  • K-Means aims to diminish the within-cluster sum of squares

DBSCAN

  • DBSCAN or Density-Based Spatial Clustering of Applications with Noise identifies clusters as dense regions separated by sparse areas, excelling at detecting irregularly shaped clusters and automatically filtering noise.
  • Key definitions for DBSCAN:
  • Epsilon (ε)-neighborhood: All points within a specified radius ε of a given point.
  • Core point: A point with at least a minimum number of (min_samples) neighbors within its ε-neighborhood.
  • Border point: A non-core point that lies within the ε-neighborhood of a core point.
  • Noise: Points that are neither core nor border points.
  • Strengths of DBSCAN: Shape Flexibility, Noise Robustness, & Parameter Guidance
  • Limitations of DBSCAN: Density Uniformity, High-Dimensionality, Border Point Ambiguity.
  • DBSCAN handles non-convex shapes
  • DBSCAN has explicit outlier detection
  • Parameter Sensitivity is critical e/min_sample selection for DBSCAN.
  • DBSCAN Struggles with varying densities
  • DBSCAN Complexity: O(n log n) with spatial indexing

Dimensionality Reduction

  • High-dimensional data often contains redundancies and noise.
  • Dimensionality reduction simplifies such data.

Principal Component Analysis (PCA)

  • PCA identifies latent variables as directions of maximum variance that encode the most informative features.
  • Other dimensionality reduction methods include: Singular Value Decomposition (SVD), Non-Negative Matrix Factorization (NMF), Random projections, UMAP (Uniform Manifold Approximation and Projection), t-SNE (t-Distributed Stochastic Neighbor Embedding), Independent Component Analysis (ICA), and Feature Agglomeration

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