Gradient Descent and Neural Networks Quiz
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Questions and Answers

What is the purpose of computing the gradient in the Gradient Descent Algorithm?

  • To classify the input data
  • To find the maximum of the function
  • To perform data normalization
  • To adjust weights towards a minimum (correct)

In Gradient Descent, increasing the learning rate will always lead to faster convergence.

False (B)

What does the symbol $ heta$ represent in the context of Gradient Descent?

The parameters or weights being optimized

The update rule for the weights in Gradient Descent can be expressed as $ heta_{new} = heta_{old} - ext{} abla ext{L}( heta{old})$, where $ ext{_}$ represents the learning rate.

<p>α</p> Signup and view all the answers

Match the components of the Gradient Descent algorithm with their correct descriptions:

<p>$ heta_{old}$ = The previous values of parameters $ abla ext{L}( heta_{old})$ = The gradient of the loss function with respect to $ heta$ $ heta_{new}$ = The updated values of parameters α = The learning rate used for updates</p> Signup and view all the answers

What is the primary characteristic of neural networks (NNs) with at least one hidden layer?

<p>They are universal approximators. (A)</p> Signup and view all the answers

Deep neural networks have the same representational power as a single-layer neural network.

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

What type of learning can neural networks perform?

<p>Both unsupervised and supervised learning.</p> Signup and view all the answers

The basic processing element in a neural network is called a __________.

<p>perceptron</p> Signup and view all the answers

Match the following terms with their descriptions:

<p>W = Weights assigned to input x = Input vector y = Output of the perceptron error = Difference between target output and actual output</p> Signup and view all the answers

Why did deep learning start outperforming other machine learning techniques around 2010?

<p>Improved hardware capabilities and larger datasets. (C)</p> Signup and view all the answers

What is a characteristic of gradient descent algorithm in neural networks?

<p>It may reach different local minima on different runs. (C)</p> Signup and view all the answers

The forward propagation process refers to passing the outputs backward toward the inputs.

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

Neural networks only require small datasets to perform effectively.

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

What method is employed in modern neural networks for calculating gradients of the loss function?

<p>Backpropagation</p> Signup and view all the answers

What is one key reason deep neural networks function better than simpler models?

<p>Empirical observation.</p> Signup and view all the answers

In the formula for a perceptron, the output is calculated as y = Σ wj xj + w0, where w is the __________.

<p>weights vector</p> Signup and view all the answers

Gradient descent may not reach a ______ minimum for the loss surface.

<p>global</p> Signup and view all the answers

Match the following neural network components with their functions:

<p>Input Layer = Receives raw data Hidden Layer = Processes inputs through weights Output Layer = Produces the final output Activation Function = Applies non-linearity</p> Signup and view all the answers

What is a common goal of weight adjustment during training in a neural network?

<p>Minimize the error. (B)</p> Signup and view all the answers

What does automatic differentiation in deep learning libraries do?

<p>Simplifies implementation by automating gradient calculation. (B)</p> Signup and view all the answers

The loss function is calculated after performing backward propagation.

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

Neural networks are effective in both speech recognition and natural language processing tasks.

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

Why is it considered wasteful to compute loss over the entire training dataset for a single update?

<p>Because it is inefficient for large datasets.</p> Signup and view all the answers

What is one adjustment made during the training of a neural network?

<p>Adjusting weights based on error.</p> Signup and view all the answers

____ is the method used to generate predictions through the layers before calculating loss.

<p>Forward propagation</p> Signup and view all the answers

Neural networks compute complex decision boundaries through __________ mapping of inputs to outputs.

<p>nonlinear</p> Signup and view all the answers

What is the primary purpose of performing a backward pass during training?

<p>To calculate the gradients of the loss function. (B)</p> Signup and view all the answers

What does the output of a max pooling layer report?

<p>The maximum value within a neighborhood (B)</p> Signup and view all the answers

Convolutional Neural Networks primarily use larger filters and shallower architectures.

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

What is the shape of the activation map generated by a CONV layer for a 5 filter setup based on the provided size (28x28) ?

<p>28x28x5</p> Signup and view all the answers

The convolutional layer typically involves __________ filters.

<p>multiple</p> Signup and view all the answers

Match each type of pooling with its definition:

<p>Average pooling = Reports the average output within a neighborhood Max pooling = Reports the maximum output within a neighborhood</p> Signup and view all the answers

How many dimensions does the dot product between the filter and an image part result in if the filter has a size of 5x5 and depth of 3?

<p>75 (D)</p> Signup and view all the answers

Pooling layers only operate over the entire input at once.

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

What is the role of fully connected layers in a Convolutional Neural Network?

<p>To connect neurons to the entire input volume.</p> Signup and view all the answers

Pooling layers reduce the __________ size of the feature maps.

<p>spatial</p> Signup and view all the answers

What happens when a pooling layer with a 2x2 filter and a stride of 2 is applied?

<p>It reduces the spatial dimensions. (D)</p> Signup and view all the answers

Which of the following correctly describes a loss function?

<p>A metric that measures the difference between predicted and true labels (C)</p> Signup and view all the answers

The mean squared error loss function is used solely for classification tasks.

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

What does SGD stand for in the context of optimizing neural networks?

<p>Stochastic Gradient Descent</p> Signup and view all the answers

The formula for cross-entropy loss function is given by ___ (fill in with the appropriate notation).

<p>ℒ 𝜃 = − ∑ ∑ 𝑦𝑘 log 𝑦̂𝑘 + (1 − 𝑦𝑘) log(1 − 𝑦̂𝑘𝑖)</p> Signup and view all the answers

Match the following loss functions with their primary use:

<p>Cross-entropy = Classification tasks Mean Squared Error = Regression tasks Mean Absolute Error = Regression tasks Hinge Loss = Support Vector Machines</p> Signup and view all the answers

What does the gradient of a loss function indicate?

<p>The direction of fastest increase of the loss function (A)</p> Signup and view all the answers

Gradient descent is only applicable to linear models.

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

What is the purpose of finding optimal parameters 𝜃 * in neural networks?

<p>To minimize the total loss ℒ 𝜃.</p> Signup and view all the answers

The loss function for regression tasks can be calculated using ___ and ___.

<p>Mean Squared Error, Mean Absolute Error</p> Signup and view all the answers

Which loss function is best suited for multi-class classification problems?

<p>Cross-entropy (C)</p> Signup and view all the answers

The total loss is calculated by averaging individual losses over all images in the training set.

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

Which approach reduces the learning rate by a constant whenever validation loss stops improving?

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

Weight decay applies a penalty for small weights during the parameter update process.

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

What mathematical operation is applied to the inputs to calculate the total loss in neural networks?

<p>Summation</p> Signup and view all the answers

The gradient descent algorithm uses the ___ direction of the gradient to update model parameters.

<p>opposite</p> Signup and view all the answers

What is the primary purpose of dropout in neural networks?

<p>To prevent overfitting by randomly dropping units during training.</p> Signup and view all the answers

In gradient descent, which of the following best describes the role of the learning rate?

<p>It specifies how quickly to adjust weights during training. (B)</p> Signup and view all the answers

The learning rate decay technique of reducing the learning rate by a factor every few epochs is referred to as ______.

<p>step decay</p> Signup and view all the answers

What is one effect of using batch normalization?

<p>Reduces internal covariate shift (A)</p> Signup and view all the answers

Exponential decay gradually increases the learning rate over time.

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

What does the patience parameter represent in early stopping?

<p>The number of epochs to wait before stopping training if no improvement is observed.</p> Signup and view all the answers

A large weight decay coefficient induces a stronger ______ for weights with large values.

<p>penalty</p> Signup and view all the answers

Which method is often preferred over grid search for hyper-parameter tuning?

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

K-Fold cross-validation can help improve the reliability of model performance estimates.

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

Name one common hyper-parameter in neural network training.

<p>Initial learning rate</p> Signup and view all the answers

Using _____ act similarly to data preprocessing, normalizing data to zero mean and unit variance.

<p>batch normalization layers</p> Signup and view all the answers

Match the following regularization techniques with their descriptions:

<p>L2 regularization = Penalizes large weights in the loss function L1 regularization = Penalizes the sum of absolute weights Dropout = Randomly removes units during training Elastic net = Combines L1 and L2 regularization techniques</p> Signup and view all the answers

Flashcards

Gradient

A mathematical formula that represents the change in the loss function (a measure of how inaccurate a model is) with respect to the model's parameters. It tells us how much the loss changes when we tweak a particular model parameter.

Learning Rate (𝜂)

A parameter in machine learning algorithms that controls the step size taken during optimization. It determines how much we update the model's parameters in each iteration.

Gradient Descent

The process of adjusting the parameters of a model to minimize the loss function. This is done by repeatedly moving the parameters in the direction of the negative gradient.

Iteration

A specific point in time during the training process where the model's parameters are updated. It represents one pass through the data.

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Initial Parameters (𝜃𝑜𝑙𝑑)

The values of the model's parameters at the start of the training process.

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Loss Function (Objective Function, Cost Function)

A function that calculates the difference between a model's predictions and the true labels. It quantifies how well the model fits the data.

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Training a Neural Network

The process of finding the optimal parameters within a neural network by minimizing the total loss across the entire training set.

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Total Loss (ℒ 𝜃)

The sum of the individual losses calculated for each image in the training set.

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Optimal Parameters (𝜃 ∗)

The optimal set of parameters that minimize the total loss, thus making the model perform best.

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Cross-Entropy Loss

A loss function specific for classification tasks. It measures the difference between the predicted probability distribution of classes and the true class labels.

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Mean Squared Error (MSE)

A loss function used for regression tasks. It calculates the average squared difference between the predicted values and the true values.

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Mean Absolute Error (MAE)

A loss function used for regression tasks. It calculates the average absolute difference between the predicted values and the true values.

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Gradient Descent (GD)

A numerical method used to adjust the parameters of a neural network by repeatedly moving in a direction that reduces the loss function.

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Gradient of the Loss Function (𝛻ℒ 𝜃)

The direction of the fastest increase of the loss function when parameters are changed.

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Updating Parameters (𝜃)

The process of updating the parameters of a neural network by moving in the direction opposite to the gradient of the loss function.

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Initialization of Parameters (𝜃)

The first step in the gradient descent algorithm. It involves choosing an initial set of parameters for the neural network.

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Calculating the Gradient (𝛻ℒ 𝜃)

The second step in the gradient descent algorithm. It involves calculating the gradient of the loss function with respect to the parameters.

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Updating Parameters (𝜃)

The third step in the gradient descent algorithm. It involves updating the parameters by moving in the opposite direction of the gradient.

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Convergence Check

The fourth step in the gradient descent algorithm. It involves checking if the loss has converged to a satisfactory level. If not, repeat steps 2 and 3.

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What is Deep Learning?

Deep Learning (DL) is a type of machine learning that excels at learning complex patterns from large datasets and is used in a wide range of applications like image recognition, speech processing, and natural language understanding. DL has surpassed traditional machine learning techniques, particularly in areas such as speech recognition and computer vision.

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What are Deep Neural Networks?

Deep Neural Networks (DNNs) are a type of artificial neural network with multiple layers of interconnected nodes, allowing them to learn complex representations from data. These layers enable DNNs to capture intricate patterns that traditional machine learning models might miss.

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What are Universal Approximators?

Universal approximators are models that can approximate any continuous function given enough parameters and complexity. Deep neural networks with at least one hidden layer are universal approximators, meaning they can approximate any continuous function with a desired accuracy.

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What is end-to-end learning?

Deep Learning (DL) allows models to learn not only the final output but also the intermediate representations of the data. This end-to-end learning approach simplifies the process of building and training models, enabling efficient learning directly from raw data with fewer assumptions.

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What is a Perceptron?

Perceptrons are basic processing units in a neural network, taking inputs and applying a weighted sum to generate an output. Each perceptron receives inputs and outputs based on learned weights associated with each input. It represents the foundational building block for more complex neural networks.

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What is a single-layer neural network?

A single-layer neural network consists of a single layer of perceptrons, where inputs are directly connected to the output layer. Each perceptron in the layer sums the weighted inputs and applies a non-linear activation function to determine the output.

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How are neural networks trained?

Training a neural network involves adjusting the weights of its connections to minimize the error between predicted and target outputs. This adjustment is done iteratively by presenting training instances to the model, comparing the predicted outputs with the actual labels, and updating the weights based on the error.

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What is a dataset?

A dataset is a collection of data instances used to train a machine learning model. Each instance represents a specific observation with features and a corresponding label. The model learns patterns from this dataset to make predictions on unseen data.

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What is training data?

Training data is a subset of the dataset specifically used to train a machine learning model. This data is used to adjust the model's parameters and help it learn patterns and relationships in the data.

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What is a feature?

Feature is a specific attribute or characteristic of a data instance. For example, in an image dataset, features could be pixel values or colors. Features provide the model with information to make predictions about the target variable.

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What is a class?

Class is a label or category assigned to a data instance. It represents the target variable that the model is trying to predict. For example, in a classification task, classes could be 'cat' or 'dog.'

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What are weights in a neural network?

Weights are adjustable parameters in a neural network that determine the strength of connections between neurons. During training, weights are adjusted to optimize the model's performance by reducing the error between predicted and actual outputs.

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What is an activation function?

Activation function is a non-linear function applied to the weighted sum of inputs in a neuron. It introduces non-linearity to the model, allowing it to learn complex relationships in the data. Common activation functions include sigmoid, ReLU, and tanh.

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What is a decision boundary?

The decision boundary is a line or surface that separates different classes in the data. It represents the model's ability to classify instances based on their features. The decision boundary is learned during training and adjusted to minimize prediction errors.

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What is the decision boundary perspective?

The decision boundary perspective helps visualize the learning process of a neural network by observing the evolution of the decision boundary as the model is trained. It shows how the model learns to differentiate between different classes by continually adjusting the decision boundary based on the training data.

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Receptive Field

A small region in the input image that a neuron in a convolutional layer processes.

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Convolutional Layer

A layer in convolutional neural networks (CNNs) that performs a dot product between a filter and a small region of the input, creating a new feature map.

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Activation Map

A 2D representation of the outputs from neurons in a convolutional layer. It shows how the filter responds to different parts of the input image.

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Filter Weights

The parameters that define how the filter works, these are shared across all neurons in the convolutional layer that use the same filter.

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Pooling Layer

A layer in CNNs that downsamples the feature maps, reducing the spatial size and preventing overfitting. It can be either max pooling or average pooling.

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Max Pooling

A pooling method that selects the maximum value within a rectangular neighborhood in the feature maps.

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Average Pooling

A pooling method that calculates the average value within a rectangular neighborhood in the feature maps.

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Fully Connected Layer (FC layer)

A layer in a neural network where each neuron is connected to all the values in the previous layer, creating a fully connected network.

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Training

The process of training a model to learn patterns and make predictions. It involves adjusting the model's parameters iteratively using an optimization algorithm.

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Loss Function

A measure of how inaccurate a model is on its predictions. It's an important metric to minimize during training.

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Loss Minimization

The process of finding the minimum of a loss function, which measures the error between the prediction and the actual output.

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Local Minima

The loss function may have multiple minima points, and gradient descent may converge to a local minimum, which is not necessarily the global minimum. This means it might not find the best possible solution to the problem.

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Random Initialization

The initial weights and biases of a neural network are typically randomly assigned. This means that with every run of training, the network might find a different minimum point on the loss surface, leading to inconsistent predictions.

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Backpropagation

The process of calculating the gradients of the loss function with respect to the model parameters. It involves computing the partial derivatives of the loss function using the chain rule, starting from the output layer towards the input layer.

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Forward Propagation

The forward pass in a neural network involves passing the input data through the network layers to obtain the output prediction. The loss function is then calculated based on the difference between the prediction and the actual output.

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Mini-batch Gradient Descent

A type of gradient descent that computes the loss over a subset of the training data, called a mini-batch, instead of the entire dataset. This makes the training process more efficient for large datasets.

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Stochastic Gradient Descent

A technique used to prevent the model from getting stuck in local minima or plateau regions. It involves adding small random noise to the gradients during training, allowing the model to escape these areas.

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Parameter Update

A process of adjusting the weights and biases of a neural network based on the gradients of the loss function. The idea is to update the parameters in the direction that minimizes the loss.

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Epoch

The process of repeatedly training a machine learning model using a subset of the data multiple times. This helps to reduce the chance of getting stuck in local minima and improve the generalization ability of the model.

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Learning Rate Decay

A technique used to gradually reduce the learning rate during training, helping the model converge to a better solution and avoid getting stuck in local minima.

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Step Decay

An approach to learning rate decay where the learning rate is reduced by a factor (e.g., half) after a certain number of epochs.

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Exponential or Cosine Decay

A method of adjusting the learning rate where it gradually decreases over time, often following an exponential or cosine function.

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ReduceLROnPlateau

A method to adapt the learning rate where it is reduced when the validation loss stops improving. This helps prevent overfitting.

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Warmup

A strategy where the learning rate is gradually increased at the beginning of training and then reduced as training progresses.

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Vanishing Gradient Problem

A problem that can occur in neural networks where gradients become very small during training, causing the model to learn very slowly.

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Underfitting

A situation where a model fails to capture the underlying relationship between features and targets. It struggles to learn from the training data.

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Overfitting

A condition where a model learns the training data too well but performs poorly on new data. It fits the noise in the data instead of the true patterns.

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Weight Decay (ℓ2 Regularization)

A technique to reduce overfitting by adding a penalty to the loss function based on the magnitude of the model's weights.

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ℓ1 Weight Decay

A regularization method that adds a penalty to the loss function based on the absolute values of the weights.

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Dropout

A regularization technique where units in a neural network are randomly dropped during training, preventing the model from relying too much on any single unit.

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Early Stopping

A technique to stop training a neural network early when the performance on a validation set starts to decline.

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Batch Normalization

A technique that normalizes the input data within each batch during training, helping to stabilize training and improve performance.

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Hyperparameter Tuning

The process of finding the optimal values for the hyperparameters of a machine learning model.

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k-Fold Cross-Validation

A technique for evaluating models by dividing the training data into k folds and training the model on k-1 folds, then evaluating it on the remaining fold. This process is repeated k times.

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Study Notes

Introduction to Machine Learning AI 305 - Deep Learning

  • Neural networks gained popularity in the 1980s, with successes and notable conferences like NeurIPS and Snowbird
  • Support Vector Machines (SVMs), Random Forests, and Boosting became prominent in the 1990s, prompting a "backseat" position for neural networks
  • Deep Learning re-emerged around 2010, fueled by improvements in computing power, larger datasets, and software tools like TensorFlow and PyTorch.
  • Pioneers like Yann LeCun, Geoffrey Hinton, and Yoshua Bengio were awarded the 2019 ACM Turing Award for their work in neural networks.

Machine Learning Basics

  • Machine learning empowers computers to learn without explicit programming.
  • Labeled training data is used to build a learned model, which is then used to make predictions on new data.

ML vs. Deep Learning

  • Most machine learning methods rely on human-designed representations and input features that best allow the computer to understand the issue.
  • Machine learning methods simply optimize the weights assigned to these features to make predictions.

What is Deep Learning (DL)?

  • Deep learning is a machine learning subfield focused on learning representations of data.
  • DL excels at learning patterns and uses a hierarchy of multiple layers to better understand input data. If large amounts of information are provided, the system can use this to better learn and respond in useful ways.

Why is DL Useful?

  • Manually designed features can be overly-specific, incomplete, and time-consuming to develop.
  • Learned features in deep learning are adaptable and fast to learn.
  • Deep learning offers a flexible and almost universal framework for representing various types of information (visual, linguistic).
  • DL enables effective end-to-end learning of complex systems.
  • Deep learning can utilize large amounts of training data.
  • DL outperformed other methods in speech, vision, and natural language processing beginning around 2010.

Representational Power

  • Neural networks with at least one hidden layer can approximate any complex continuous function.
  • Deep neural networks often perform better empirically than shallow networks in complex tasks, although they have the same theoretical representational power as a single-layer network

Perceptron

  • A perceptron is a basic processing element in a neural network.
  • Perceptrons can receive input from the environment or from other perceptrons.

Single Layer Neural Network

  • A single-layer neural network consists of an input layer, a hidden layer, and an output layer.
  • The output (Y) of the network is a function of the input (X), calculated using predetermined weights (w) and biases (b)

Example of Neural Network

  • A neural network functions by passing inputs through multiple layers (hidden layers), with each layer containing neurons designed to use the prior layers' outputs for the next level of computations.
  • Calculations at each layer rely on a specific function (activation functions), which converts the sum of each neuron's weighted input signals to its output.

Matrix Operation

  • In neural networks, matrix operations are used to calculate the output at each layer efficiently.

Neural Network

  • Neural networks are comprised of multiple interconnected layers, with each layer consisting of simple computational units called neurons. The different neurons are connected to other neurons in the adjacent layers by weights, which determine how much influence one neuron has on other nearby neurons.

Softmax Layer

  • In multi-class classification tasks, the output layer typically uses a softmax function, producing probability values in the range of 0 to 1 for each output category.
  • These outputs, when properly normalized, add up to 1.0.

Activation: Sigmoid

  • A sigmoid function converts a real-valued input into a value between 0 and 1.
  • It's a widely used activation function but less frequent in modern deep networks because the gradients can vanish when a very large or small input is passed to the function.

Activation: Tanh

  • A tanh function transforms a real-valued input to a value between -1 and 1.
  • It is similar to the sigmoid function but zero-centered.

Activation: ReLU

  •  A rectified linear unit (ReLU) function outputs the same value as the input if the input is positive, and outputs 0 otherwise.
  • ReLU acts as an activation function for most modern deep neural networks (DNNs).
  • The ReLU function is easy to compute compared to sigmoids and tanh. ReLU accelerates gradient descent.  

Activation: Leaky ReLU

  • The leaky ReLU function is a variation of ReLU and helps prevent neurons from "dying."
  • It outputs ax when x < 0, and x otherwise for a small value of a (e.g., 0.01), keeping a small gradient on activation below zero, stopping neurons from not having sufficient gradient for weights to update.

Activation: Linear Function

  • The linear activation function outputs an output that's linearly proportional to the input.
  • In many regression tasks, the last layer uses a linear activation function to generate numbers rather than class membership.

Training NNs

  • Network parameters (weights and biases) are learned through optimization

Data Preprocessing

  • Data preprocessing improves model convergence.
  • Techniques include: mean subtraction, normalization to obtain zero-mean and unit variance.

Training NNs: loss functions

  • A loss function calculates the difference between the model's prediction and the true label.
  • Examples include mean-squared error, cross-entropy, etc.

Training NNs: optimizing loss function

  • Optimal parameters are sought that minimize the calculated loss for the given dataset. Often done through iterative steps of applying gradient descent.

Gradient Descent Algorithm

  • Gradient descent is used to optimize the loss function.
  • It involves iteratively adjusting parameters based on the calculated loss function, following negative gradients.

Gradient Descent with Momentum

Gradient descent with momentum adds a momentum (accumulation of previous gradients) factor for parameter update. This improves optimization when dealing with oscillations or plateaus.

Adam

  • Adam is an adaptive optimization algorithm that combines momentum and adaptive learning rates based on past gradients.
  • It's a popular optimizer for many deep learning tasks.

Learning Rate

  • Learning rate (step size) is the magnitude by which gradients are used for parameter update.
  • It's a key hyperparameter that affects model training.
  • Small learning rates lead to slow convergence, while large learning rates result in overshooting or non-convergent behavior.

Learning Rate Scheduling

  • Learning rate scheduling dynamically changes the learning rate during training to achieve optimal convergence.
  • Common strategies include exponential decay, cosine decay, and warmup.

Vanishing Gradient Problem

  • Gradients can become vanishingly small during training, slowing down or preventing parameter update. The problem is especially common in deep networks.

Generalization

  • Deep learning models can struggle to generalize, showing high performance on training data but poor performance on novel test data. This phenomenon is known as overfitting. Insufficient training can also negatively impact generalization (underfitting).

Regularization: Weight Decay

  • Weight decay adds a penalty to the loss function for large weights (or absolute values of weights).
  • It aims to keep the weights small, reducing overfitting.

Regularization: Dropout

  • Dropout randomly removes (sets to zero) neurons during training.
  • This technique can help the network avoid overfitting to the training data, increasing its ability to generalize.

Regularization: Early Stopping

  • Early stopping monitors the validation error during training and terminates the process when the validation error starts to increase again after having decreased. This is an optimization to prevent the model from overfitting the training set.

Batch Normalization

  • Batch normalization normalizes the input data to each layer by subtracting the mean and dividing by the variance of the input batch.
  • This can improve the stability and convergence of the training process.

Hyperparameter Tuning

  • Hyperparameters are settings of parameters that are not determined through training, like the learning rate.
  • Techniques used in tuning include grid search, random search, and Bayesian optimization to find optimal parameters.

k-Fold Cross-Validation

  • A technique to improve the reliability of hyperparameter tuning processes.
  • It involves splitting the available data into multiple folds (e.g., 5), and repeatedly training and evaluating a model on different combinations of training and validation segments of the data.

Ensemble Learning

  • Ensemble learning combines the predictions of multiple models, typically producing better performance than a single model on various tasks.
  •  Common approaches include bagging and boosting.

Deep vs. Shallow Networks

  • Deeper networks (with more layers) have the potential to learn more complex patterns than shallow networks (with fewer layers), as they enable a nonlinear transformation of the data.
  • Still, deeper networks may face performance diminishing returns after a certain depth.

Convolutional Neural Networks (CNNs)

  • CNNs are specifically designed for data with grid-based structure.
  • CNNs exploit spatial relationships and use convolution and pooling layers to create feature maps.
  • Filters slide over image areas determining important features.

How CNNs Work

  • CNNs use hierarchical feature extraction to learn increasingly complex image features, from edges and shapes to complete objects
  • They use convolution and pooling layers

Other CNNs components

  •  A convolutional layer in a CNN performs calculations to discover various features from the input data.
  •  A fully connected layer converts the learned features into a predicted output. -Pooling layers condense the spatial image by taking the maximum or average of values within a local region (spatial resolution reduction).

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This quiz covers fundamental concepts of the Gradient Descent algorithm and the characteristics of neural networks. Test your understanding of gradient computation, learning rates, and neural network architecture. Ideal for students delving into machine learning and deep learning topics.

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