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Questions and Answers
What is the primary focus of the course CSDS 391?
What is the primary focus of the course CSDS 391?
Learning from examples is a fundamental aspect of AI.
Learning from examples is a fundamental aspect of AI.
True
What type of data is focused on when predicting credit risk in AI?
What type of data is focused on when predicting credit risk in AI?
credit risk data
In AI, learning from examples typically involves classifying __________ data.
In AI, learning from examples typically involves classifying __________ data.
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Match the following AI concepts with their descriptions:
Match the following AI concepts with their descriptions:
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What is a potential advantage of using distance metrics like Euclidean distance in clustering applications?
What is a potential advantage of using distance metrics like Euclidean distance in clustering applications?
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Euclidean distance is an effective method for handling high-dimensional data classification.
Euclidean distance is an effective method for handling high-dimensional data classification.
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What is the classification error percentage for the 7-nearest neighbor approach on handwritten digits using leave-one-out?
What is the classification error percentage for the 7-nearest neighbor approach on handwritten digits using leave-one-out?
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The distance metric formula $d(x, y) = \sum (x_i − y_i)^2$ is used to calculate __________.
The distance metric formula $d(x, y) = \sum (x_i − y_i)^2$ is used to calculate __________.
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Match the following terms with their descriptions:
Match the following terms with their descriptions:
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Which of the following is NOT a characteristic of clustering techniques?
Which of the following is NOT a characteristic of clustering techniques?
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A disadvantage of using Euclidean distance is that it may not perform well in all cases.
A disadvantage of using Euclidean distance is that it may not perform well in all cases.
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Why is it said that using distance metrics requires no 'brain' on the part of the designer?
Why is it said that using distance metrics requires no 'brain' on the part of the designer?
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Which of the following describes the k-nearest neighbors algorithm?
Which of the following describes the k-nearest neighbors algorithm?
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The Euclidean distance metric considers how many pixels overlap in image data.
The Euclidean distance metric considers how many pixels overlap in image data.
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What kind of distance metric could be defined to improve classification in k-nearest neighbors?
What kind of distance metric could be defined to improve classification in k-nearest neighbors?
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The k-nearest neighbors algorithm is typically evaluated based on its error rate on __________ data.
The k-nearest neighbors algorithm is typically evaluated based on its error rate on __________ data.
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What potential issue arises when finding neighbors in the k-nearest neighbors algorithm?
What potential issue arises when finding neighbors in the k-nearest neighbors algorithm?
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Match the following clustering techniques with their characteristics:
Match the following clustering techniques with their characteristics:
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Small deviations in image position, scale, or rotation can significantly impact Euclidean distance calculations.
Small deviations in image position, scale, or rotation can significantly impact Euclidean distance calculations.
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What is the main objective of using distance metrics in clustering algorithms?
What is the main objective of using distance metrics in clustering algorithms?
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What is the primary criterion for the optimal decision boundary in classification?
What is the primary criterion for the optimal decision boundary in classification?
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Euclidean distance is commonly used to measure the similarity between points in nearest neighbor classification.
Euclidean distance is commonly used to measure the similarity between points in nearest neighbor classification.
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What is the assumption made about class probability in the context of the optimal decision boundary?
What is the assumption made about class probability in the context of the optimal decision boundary?
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In classification, points that are nearby are likely to belong to the same __________.
In classification, points that are nearby are likely to belong to the same __________.
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Match the following distance metrics with their applications:
Match the following distance metrics with their applications:
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What does 'p(x|C2)' refer to in a classification context?
What does 'p(x|C2)' refer to in a classification context?
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A misclassification error occurs when a classified point is correctly categorized into its true class.
A misclassification error occurs when a classified point is correctly categorized into its true class.
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Name one clustering technique other than K-means.
Name one clustering technique other than K-means.
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Study Notes
CSDS 391 Intro to AI: Learning from Examples
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Classifying Uncertain Data:
- The example concerns credit risk assessment
- Learning the best classification from data involves estimating the strength of a credit risk.
- Flexibility in decision criteria is useful, for example taking higher risks during good times or more carefully examining higher-risk applicants.
Credit Risk Prediction
- Predicting credit risk involves analyzing factors like years at a current job, missed payments and whether or not an individual defaulted.
Mushroom Classification
- Mushroom classification uses a guide to assess edibility based on criteria.
-Certainty about a mushroom's safety can't be perfectly predicted by the criteria alone.
- The data for edible and poisonous mushrooms is displayed.
Bayesian Classification
- Class conditional probability is recalled using mathematical formulas.
- The likelihood of data (x) given a class (Ck) is to be determined.
Defining a Probabilistic Classification model
- A probabilistic classification model can define a credit risk problem in terms of classes (e.g., defaulted or not defaulted) and data (e.g., years at a job, missed payments).
- Prior probabilities (e.g., probability of default), and likelihoods (e.g. probability of features given a class) need to be determined.
Defining a Probabilistic Model by Counting
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Prior probabilities are determined by counting the occurrence of each class in the data.
- Likewise likelihood is determined by counting the occurrences of certain feature values given a class.
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Maximum likelihood estimate (MLE) explains the method
Determining Likelihood
- A simple approach involves counting the instances matching specific feature combinations and class labels in the data.
Being (Proper) Bayesians: Coin Flipping
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Bernoulli trials are used to examine how probability is determined when each trial's outcome is either heads (1) with probability θ or tails (0) with probability 1-θ.
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The Binomial distribution describes probability of getting a specific number of heads (y) in a series of trials (n).
Applying Bayes' Rule
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Bayes' rule is used to update knowledge after new observations are made
- Likelihood(y|θ,n) x Prior(θ|n) = Posterior(θ|y,n)
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A reasonable uniform prior assumption states that you have no prior knowledge about the parameter θ.
- The posterior is proportional to the likelihood in this case
An Example with Distributions: Coin Flipping
- The likelihood for different possible values of θ is viewed graphically
Bayesian Inference
- Bayesian inference addresses situations with continuous variables.
- Likelihood (y| θ, n) x prior θ = posterior ( θ | y,n)
Updating Knowledge
- After observing new information, a posterior distribution can be determined
Evaluating the Posterior
- Before observing any trials, the prior probability distribution of θ is uniform
Coin Tossing
- Examples demonstrate how knowledge about θ is updated with different numbers of heads and tails in coin-tossing trials
Evaluating the Normalizing Constant
- The normalizing constant is needed to obtain the proper probability density functions
More Coin Tossing
- An example demonstrates the scenario with more coin trials, like 50 trials.
Estimates for Parameter Values
- Two approaches are noted, Maximum likelihood estimate (MLE) and Maximum a posteriori (MAP) estimate.
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MLE involves taking the derivative of the likelihood and setting it to zero to find the parameter that maximizes the likelihood. The prior is not taken into account.
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MAP on the other hand accounts for the prior by finding an estimate from the equation of posterior.
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The Ratio Estimate
- Intuitive approach to estimate the parameter for values.
- The estimate for the current example is the proportion of heads from the number of total trials.
The Maximum A Posteriori (MAP) Estimate
- Involves finding the value of the parameter that maximizes the posterior distribution
- Same as ratio estimate in the current example.
The Ratio Estimate cont'd
- The MAP and ratio estimation are examined with one trial and more trials
Expected Value Estimate
- This is calculated as the mean of the probability density function.
- The average value of the parameter over the whole distribution is calculated.
On To The Mushrooms!
- Mushroom data is presented.
- The data for edible and poisonous mushrooms based on features like cap shape, cap surface, odor, stalk shape and population is displayed.
The Scaling Problem
- The issue of large data sets and the huge number of parameters in the likelihood calculation is highlighted.
Mushroom Attributes
- Attributes like cap shape and cap surface, along with values like color and odor of mushrooms, are presented
- The amount of data and the associated values for each feature are showcased
Simplifying With "Naïve" Bayes
- The Naïve Bayes approach to finding the probability of a class given an example (x) is examined.
- An assumption is made that the features are independent. Given this assumption the probability is easier to calculate since the likelihood of multiple features can be calculated by multiplying the likelihood for each of the individual features.
Inference With Naïve Bayes
- Inference is made by making assumptions that features are independent of each other to calculate conditional probability
Implementation Issues:
- Log probabilities are used to address computational problems from calculating products of probability values
- In Naïve Bayes calculation, instead of multiplying probabilities directly, log transformations of probabilities are calculated, and then added.
Converting Back To Probabilities
- Log transformation is used to address computation issues
- The log probabilities are shifted to zero, for normalized calculation
Text Classification With The Bag of Words Model
- The bag-of-words model
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Documents are represented as vectors, where each element represents the count of a specific word
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The differences in word frequencies are apparent and can be used to classify different document types.
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Naïve Bayes is applied to classify documents.
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Description
This quiz covers concepts from CSDS 391, focusing on AI techniques for classifying uncertain data. Topics include credit risk assessment, mushroom classification, and Bayesian classification methods. Additionally, it explores the importance of flexibility in decision criteria when making predictions.