Podcast
Questions and Answers
What is the primary purpose of the loss function in training neural networks?
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?
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?
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?
In the context of gradient descent, what does the learning rate control?
Which step is performed first in the gradient descent algorithm?
Which step is performed first in the gradient descent algorithm?
What is the primary purpose of batch normalization in neural networks?
What is the primary purpose of batch normalization in neural networks?
Which loss function is typically used for classification tasks in neural networks?
Which loss function is typically used for classification tasks in neural networks?
In the context of batch normalization, how are the mean and variance calculated?
In the context of batch normalization, how are the mean and variance calculated?
What does the softmax function do in the output layer of a neural network used for classification?
What does the softmax function do in the output layer of a neural network used for classification?
Which of the following describes the purpose of the cost function L(Θ) in training neural networks?
Which of the following describes the purpose of the cost function L(Θ) in training neural networks?
Flashcards
Loss Function
Loss Function
A function that quantifies the difference between predicted and true values in a model.
Mean Squared Error (MSE)
Mean Squared Error (MSE)
A loss function that calculates the average of the squared differences between predicted and actual values.
Mean Absolute Error (MAE)
Mean Absolute Error (MAE)
A loss function that calculates the average of the absolute differences between predicted and actual values.
Gradient Descent
Gradient Descent
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Gradient
Gradient
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Learning Rate
Learning Rate
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Model Parameters (Θ)
Model Parameters (Θ)
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Gradient Descent Algorithm Steps
Gradient Descent Algorithm Steps
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Image Pixel Normalization
Image Pixel Normalization
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Batch Normalization
Batch Normalization
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Batch Normalization Layer Placement
Batch Normalization Layer Placement
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Training Neural Network Goal
Training Neural Network Goal
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Loss Function
Loss Function
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Mean Squared Error
Mean Squared Error
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Cross-Entropy Loss
Cross-Entropy Loss
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Softmax Activation
Softmax Activation
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Cross-entropy Formula
Cross-entropy Formula
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Regression Task Input
Regression Task Input
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Regression Task Output Layer
Regression Task Output Layer
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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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