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Questions and Answers
What is a key characteristic of Stochastic Gradient Descent (SGD)?
What is a key characteristic of Stochastic Gradient Descent (SGD)?
Which of the following describes the advantage of using SGD over traditional Gradient Descent methods?
Which of the following describes the advantage of using SGD over traditional Gradient Descent methods?
What is the first step in the Stochastic Gradient Descent algorithm?
What is the first step in the Stochastic Gradient Descent algorithm?
What does 'stochastic' refer to in Stochastic Gradient Descent?
What does 'stochastic' refer to in Stochastic Gradient Descent?
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In the context of SGD, what is meant by 'mini-batch'?
In the context of SGD, what is meant by 'mini-batch'?
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What happens in the Stochastic Gradient Descent loop when a model converges?
What happens in the Stochastic Gradient Descent loop when a model converges?
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Which of the following statements is true regarding Batch Gradient Descent compared to SGD?
Which of the following statements is true regarding Batch Gradient Descent compared to SGD?
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Why is it important to shuffle the training dataset before each iteration in SGD?
Why is it important to shuffle the training dataset before each iteration in SGD?
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What does the loss function quantify in a machine learning model?
What does the loss function quantify in a machine learning model?
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Which optimization technique is most commonly used to minimize the loss function?
Which optimization technique is most commonly used to minimize the loss function?
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Which loss function is especially sensitive to outliers in the dataset?
Which loss function is especially sensitive to outliers in the dataset?
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What advantage does Mean Absolute Error (MAE) Loss have over Mean Squared Error (MSE) Loss?
What advantage does Mean Absolute Error (MAE) Loss have over Mean Squared Error (MSE) Loss?
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What is the primary characteristic of loss functions in regression tasks?
What is the primary characteristic of loss functions in regression tasks?
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Which characteristic makes the Mean Squared Error (MSE) Loss suitable for gradient-based optimization?
Which characteristic makes the Mean Squared Error (MSE) Loss suitable for gradient-based optimization?
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What does the term 'Huber Loss' refer to in the context of loss functions?
What does the term 'Huber Loss' refer to in the context of loss functions?
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Which loss function calculates the average of the squared differences?
Which loss function calculates the average of the squared differences?
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What is a major consequence of using a high learning rate in SGD?
What is a major consequence of using a high learning rate in SGD?
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Which theorem states that a neural network with a single hidden layer can approximate any continuous function?
Which theorem states that a neural network with a single hidden layer can approximate any continuous function?
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What role does the hidden layer play in a neural network?
What role does the hidden layer play in a neural network?
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Which method can help mitigate the issues of noisy updates in SGD?
Which method can help mitigate the issues of noisy updates in SGD?
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What does the output of a neural network's single hidden layer depend on, mathematically?
What does the output of a neural network's single hidden layer depend on, mathematically?
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In the context of the Universal Approximation Theorem, what is required for a neural network to approximate a continuous function?
In the context of the Universal Approximation Theorem, what is required for a neural network to approximate a continuous function?
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What can occur if SGD converges too slowly due to a low learning rate?
What can occur if SGD converges too slowly due to a low learning rate?
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Which of the following accurately describes the composition of the neural network function?
Which of the following accurately describes the composition of the neural network function?
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What is the main criterion for selecting the best hyperplane in a Support Vector Machine?
What is the main criterion for selecting the best hyperplane in a Support Vector Machine?
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What happens when a data point lies on the boundary of the separating classes in SVM?
What happens when a data point lies on the boundary of the separating classes in SVM?
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What is a characteristic of SVM in relation to outliers?
What is a characteristic of SVM in relation to outliers?
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What is meant by the term 'soft margin' in SVM?
What is meant by the term 'soft margin' in SVM?
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What is the formula to minimize when a soft margin is applied in SVM?
What is the formula to minimize when a soft margin is applied in SVM?
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When data is not linearly separable, what does SVM do?
When data is not linearly separable, what does SVM do?
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What does hinge loss represent in the context of SVM?
What does hinge loss represent in the context of SVM?
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What is the result of a maximum-margin hyperplane in SVM?
What is the result of a maximum-margin hyperplane in SVM?
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What is a primary function of the activation function in a Perceptron?
What is a primary function of the activation function in a Perceptron?
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What information does the weight of an input provide in a Perceptron?
What information does the weight of an input provide in a Perceptron?
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Which of the following mathematical forms represents the calculation of the weighted sum in a Perceptron?
Which of the following mathematical forms represents the calculation of the weighted sum in a Perceptron?
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What is the purpose of the bias in the Perceptron model?
What is the purpose of the bias in the Perceptron model?
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In which scenario would a single-layer Perceptron be used effectively?
In which scenario would a single-layer Perceptron be used effectively?
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What does the output of a Perceptron model indicate when the summed input exceeds a threshold?
What does the output of a Perceptron model indicate when the summed input exceeds a threshold?
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Which type of Perceptron model consists of only one layer?
Which type of Perceptron model consists of only one layer?
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What is added to the weighted sum in a Perceptron to improve its performance?
What is added to the weighted sum in a Perceptron to improve its performance?
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What is the primary difference between a single-layer perceptron and a multi-layer perceptron?
What is the primary difference between a single-layer perceptron and a multi-layer perceptron?
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Which of the following is NOT an advantage of a multi-layer perceptron model?
Which of the following is NOT an advantage of a multi-layer perceptron model?
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Which of the following accurately describes the "backward stage" of the multi-layer perceptron training process?
Which of the following accurately describes the "backward stage" of the multi-layer perceptron training process?
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In which of the following scenarios would a multi-layer perceptron model be a suitable choice?
In which of the following scenarios would a multi-layer perceptron model be a suitable choice?
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What is a potential drawback of using a multi-layer perceptron model?
What is a potential drawback of using a multi-layer perceptron model?
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Which of the following is NOT a common type of activation function used in a multi-layer perceptron?
Which of the following is NOT a common type of activation function used in a multi-layer perceptron?
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What is a common method for evaluating the performance of a multi-layer perceptron model?
What is a common method for evaluating the performance of a multi-layer perceptron model?
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What is the significance of the "hidden layers" in a multi-layer perceptron?
What is the significance of the "hidden layers" in a multi-layer perceptron?
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Flashcards
Hyperplane
Hyperplane
A flat affine subspace that separates data points in SVM.
Best Hyperplane
Best Hyperplane
The hyperplane that maximizes the separation margin between classes.
Separation Margin
Separation Margin
The distance between the hyperplane and the nearest data points from each class.
Maximum-Margin Hyperplane
Maximum-Margin Hyperplane
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SVM Robustness
SVM Robustness
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Soft Margin
Soft Margin
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Hinge Loss
Hinge Loss
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Kernel Trick
Kernel Trick
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Perceptron
Perceptron
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Input Values
Input Values
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Weights
Weights
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Bias
Bias
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Weighted Sum
Weighted Sum
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Activation Function
Activation Function
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Single-layer Perceptron
Single-layer Perceptron
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Multi-layer Perceptron
Multi-layer Perceptron
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Forward Stage
Forward Stage
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Backward Stage
Backward Stage
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Complex non-linear problems
Complex non-linear problems
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Advantages of Multi-layer Perceptron
Advantages of Multi-layer Perceptron
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Disadvantages of Multi-layer Perceptron
Disadvantages of Multi-layer Perceptron
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Gradient Descent
Gradient Descent
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Batch Gradient Descent
Batch Gradient Descent
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Stochastic Gradient Descent (SGD)
Stochastic Gradient Descent (SGD)
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Mini-batch Gradient Descent
Mini-batch Gradient Descent
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Initialization in SGD
Initialization in SGD
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Learning Rate (alpha)
Learning Rate (alpha)
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Shuffle Dataset
Shuffle Dataset
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Convergence in SGD
Convergence in SGD
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Learning Rate
Learning Rate
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Universal Approximation Theorem (UAT)
Universal Approximation Theorem (UAT)
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Hidden Layer
Hidden Layer
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Output Layer
Output Layer
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Weights and Biases
Weights and Biases
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Convergence
Convergence
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Loss Function
Loss Function
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Objective Function
Objective Function
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Mean Squared Error (MSE) Loss
Mean Squared Error (MSE) Loss
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Mean Absolute Error (MAE) Loss
Mean Absolute Error (MAE) Loss
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Huber Loss
Huber Loss
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Log-Cosh Loss
Log-Cosh Loss
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Efficacy of Loss Functions
Efficacy of Loss Functions
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Study Notes
Introduction to Machine Learning: Linear Models
- Logistic regression, support vector machines (SVMs), and perceptions are machine learning algorithms.
- Neural networks can approximate universal functions.
- Training a network uses loss functions, backpropagation, and stochastic gradient descent.
Linear Models
- Linear models are foundational to more complex machine learning algorithms, including deep neural networks.
- Linear regression predicts a target variable using a linear function of input features.
- Logistic regression uses a sigmoid function to transform linear regression output into probabilities, used for classification tasks.
- Linear models have practical applications in industry.
Types of Linear Models
- Linear regression and logistic regression are covered in this article.
- Linear regression models the relationship between independent and dependent variables (using a linear function).
- Logistic regression extends linear regression to predict probabilities (using a sigmoid function).
Support Vector Machines (SVMs)
- SVMs are powerful machine learning algorithms for classification, regression, and outlier detection.
- SVMs focus on finding the optimal hyperplane that maximizes the margin between different data classes.
- Support vectors are the closest data points to the hyperplane.
- The dimension of the hyperplane depends on the number of features.
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Description
This quiz explores the fundamentals of linear models in machine learning, focusing on logistic regression and support vector machines. It covers key concepts such as loss functions, backpropagation, and practical applications in industry. Test your knowledge on how these models predict target variables and their impact on classification tasks.