Artificial Intelligence Overview

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Questions and Answers

What is the primary purpose of the loss function in training neural networks?

  • To normalize the input data
  • To quantify the difference between predicted and true values (correct)
  • To optimize the gradient descent algorithm
  • To enhance the model's complexity

Which of the following correctly describes the Mean Squared Error (MSE) loss function?

  • $L(Θ) = 1/n∑_{i=1}^n (ŷ(x_i) - y_i)^2$ (correct)
  • $L(Θ) = 1/n∑_{i=1}^n (ŷ(x_i) + y_i)^2$
  • $L(Θ) = 1/n∑_{i=1}^n |ŷ(x_i) + y_i|$
  • $L(Θ) = 1/n∑_{i=1}^n |ŷ(x_i) - y_i|^2$

What role does the gradient play in the gradient descent algorithm?

  • It provides the final values for model parameters.
  • It shows the direction of the steepest descent. (correct)
  • It indicates the parameters need to be increased.
  • It helps to initialize the model parameters.

In the context of gradient descent, what does the learning rate control?

<p>The size of the updates to the model parameters (A)</p>
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Which step is performed first in the gradient descent algorithm?

<p>Randomly initialize the model parameters. (D)</p>
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What is the primary purpose of batch normalization in neural networks?

<p>To reduce internal covariate shift and improve training speed. (D)</p>
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Which loss function is typically used for classification tasks in neural networks?

<p>Cross-entropy (D)</p>
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In the context of batch normalization, how are the mean and variance calculated?

<p>They are computed from each batch of input data. (C)</p>
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What does the softmax function do in the output layer of a neural network used for classification?

<p>Transforms logits into a probability distribution. (C)</p>
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Which of the following describes the purpose of the cost function L(Θ) in training neural networks?

<p>To calculate the error between predicted outputs and true labels. (A)</p>
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Flashcards

Loss Function

A function that quantifies the difference between predicted and true values in a model.

Mean Squared Error (MSE)

A loss function that calculates the average of the squared differences between predicted and actual values.

Mean Absolute Error (MAE)

A loss function that calculates the average of the absolute differences between predicted and actual values.

Gradient Descent

An iterative optimization algorithm that adjusts model parameters to minimize a loss function.

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Gradient

The direction of the steepest increase of a function.

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Learning Rate

A hyperparameter that controls the step size during gradient descent.

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Model Parameters (Θ)

The adjustable values in a machine learning model that control its behavior.

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Gradient Descent Algorithm Steps

Random initialization parameters, compute gradient, update parameters with learning rate, repeat until termination criterion is met

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Image Pixel Normalization

Dividing image pixel intensities by 255 to scale them within the 0-1 range.

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Batch Normalization

Normalizes input data within a batch to have zero mean and unit variance. Accelerates training and reduces internal covariate shift.

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Batch Normalization Layer Placement

Inserted after convolutional/fully connected layers, and before activation layers.

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Training Neural Network Goal

Adjust parameters to maximize predicted output values matching true labels on a training dataset.

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Loss Function

Measures the difference ('error') between predicted output and true labels.

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Mean Squared Error

A type of loss function commonly used in regression tasks, measuring the average squared difference between predicted and true values.

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Cross-Entropy Loss

A type of loss function used for classification tasks, calculating the difference between predicted probability distributions and true labels.

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Softmax Activation

Maps output to a probability distribution.

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Cross-entropy Formula

Cross-entropy(Θ) = -1/N ∑_{i=1}^N [y_i log(ŷ_i) + (1-y_i) log(1-ŷ_i)], where y = true label, ŷ = predicted label.

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Regression Task Input

Input consists of training examples with input data (xᵢ) and corresponding output (ground-truth) values (yᵢ).

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Regression Task Output Layer

Output Layer is generally linear or sigmoid.

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Study Notes

Artificial Intelligence

  • Artificial intelligence encompasses a broad field.
  • Machine learning is a subset of artificial intelligence.
  • Deep learning is a subset of machine learning.

Model of an Artificial Neuron

  • A diagram shows the components of an artificial neuron.
  • Input values (x₁, x₂, ..., xₙ) are multiplied by weights (w₁, w₂, ..., wₙ).
  • The weighted inputs are summed to produce a net input.
  • An activation function (f) processes the net input, producing the output (y).

Multi-Layer Net

  • A diagram shows a multi-layer neural network.
  • Input layer processes input data.
  • Hidden layers perform computations.
  • Output layer produces output.
  • The network structure allows complex computations.

Supervised Learning

  • Supervised learning problems include classification and regression.
  • Classification problems use categorical output variables (e.g., "red", "blue", "disease" or "no disease").
  • Regression problems use continuous output variables (e.g., "dollars," "weight").

Common Supervised Machine Learning Algorithms

  • Decision Trees
  • K Nearest Neighbors
  • Linear SVC (Support Vector Classifier)
  • Logistic Regression
  • Linear Regression

Classification Model Steps using Scikit-Learn

  • Import libraries from scikit-learn
  • Load the Iris dataset
  • Split into training and testing sets
  • Instantiate an Support Vector Classifier (SVC) with a linear kernel;
  • Train the classifier
  • Make predictions
  • Evaluate the classifier

Evaluating Classification Methods

  • Predictive Accuracy: The number of correct classifications divided by the total number of test cases..
  • Efficiency: Time to construct the model and use the model.
  • Robustness: Handling noise and missing values.
  • Scalability: Efficiency in databases.
  • Interpretability: Understandable insights provided by the model (e.g., number of rules, size of the tree.)

Classification Model

  • The model encompasses steps for performing classification.
  • Different stages include; library importation, data preparation, model definition, model compilation, training, evaluation, and plotting.

Machine vs. Deep Code

  • Shows different code structures for machine learning and deep learning, indicating the importation of libraries, the loading of datasets, and the creation of classifiers.

Activation function Softmax Layer

  • The softmax layer applies softmax activations, producing probability values between 0 and 1.
  • Softmax values are the logits.
  • The summation of all probabilities equals to 1.

Activation Functions

  • Non-linear activations are needed for complex data representations in Neural Networks.
  • Neural Networks (NNs) with more layers and neurons can approximate complex functions.
  • More neurons improve data representation; however, it may cause overfitting.

Activation: Sigmoid Function

  • The sigmoid function maps any real value to a range between 0 and 1, interpreted as firing rate.
  • It is common in Neural Networks for its characteristics.
  • But the gradients become almost zero when the input gets very small or very large.

Activation: Tanh Function

  • The tanh (hyperbolic tangent) function maps real values to the range between -1 and +1.
  • It is zero-centered, which is preferred to the sigmoid function.
  • Tanh also has characteristics, including vanishing gradients when the input gets very small or very large.

Activation: ReLU (Rectified Linear Unit)

  • The ReLU activation function thresholds the input at zero (maps all negative values to 0 and positive inputs to themselves), suitable for Modern Deep Neural Networks because of its efficiency.
  • It speeds up computations.
  • Compared to other functions, has reduced overfitting and a reduced training time.

Activation: Leaky ReLU

  • Leaky ReLU is a variation of ReLU.
  • Instead of outputting 0 when the input is negative, it has a small negative slope (e.g., 0.01).
  • This modification resolves the "dying ReLU" problem.

Activation: Linear Function

  • The linear function outputs a signal that is proportional to the input.
  • If the constant is 1, it's an "identity function."
  • Common in regression problems, when the output needs to be a real number.

Training Neural Networks

  • Train NNs involve setting the parameters with a gradient descent algorithm (GD), making the predictions closest to the true values.
  • Gradient descent updates the parameters by moving in the opposite direction of the gradient..

Data Preprocessing

  • Data preprocessing (e.g., mean subtraction, normalization) helps convergence.
  • Data normalization/zero-centering helps convergence in training neural networks.
  • Normalization may use standard deviation or scale to the range of 0 to 1.

Batch Normalization

  • Batch normalization speeds up training (convergence).
  • Acts similar to data preprocessing by calculating the mean and variance of a batch of input data and normalizing.
  • Useful during training neural networks to alleviate initialization issues and make it easier for the algorithm to learn.

Loss Functions

  • Loss functions (e.g., cross-entropy for classification, mean squared error for regression) measure the difference between predicted and actual values, used in neural networks to drive optimization.
  • Classification uses a sigmoid activation function on the output layer to return probabilities of a categorical label.
  • Regression uses a linear activation function (or sigmoid, when appropriate) to directly compute the output, which may be a real number or a continuous range of numbers.

Training NNs

  • An algorithm to optimize a loss function to train neural networks.

Gradient Descent

  • Gradient descent helps find the minimum of a loss function (and optimal parameters).
  • Steps include random initialization, calculating the gradient, and updating parameters using a learning rate.

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