Deep Learning Fundamentals
The Deep Learning Fundamentals course teaches the mathematical foundations of neural networks, optimization strategies, regularization, and core architectures like CNNs and RNNs, enabling learners to grasp model behavior and design robust AI solutions.
Who Should Take This
It is ideal for data scientists, software engineers, or research analysts who have basic programming experience and familiarity with linear algebra, and want to transition from applying pre‑built models to building and diagnosing deep learning systems. They seek a rigorous, intuition‑driven understanding of model dynamics and architectural choices.
What's Included in AccelaStudy® AI
Course Outline
65 learning goals
1
Neural Network Foundations
7 topics
Describe the structure of artificial neurons including weighted inputs, bias terms, activation functions, and the relationship to biological neural networks
Describe feedforward network architecture including input, hidden, and output layers, and explain how information flows through the network during forward propagation
Apply the chain rule to explain backpropagation including gradient computation through each layer, weight update mechanics, and the role of learning rate
Describe common activation functions including sigmoid, tanh, ReLU, Leaky ReLU, and softmax and explain the vanishing gradient problem that motivated ReLU adoption
Apply weight initialization strategies including Xavier and He initialization to prevent vanishing or exploding gradients in deep networks
Analyze the trade-offs between different activation functions in terms of gradient flow, computational cost, and output distribution for specific network architectures
Analyze the universal approximation theorem and explain why depth matters more than width for learning hierarchical representations in deep networks
2
Optimization and Training
6 topics
Describe stochastic gradient descent including mini-batch processing, learning rate schedules, and the distinction between batch, stochastic, and mini-batch gradient descent
Describe momentum-based optimizers including SGD with momentum, Nesterov accelerated gradient, and explain how momentum helps escape local minima and saddle points
Describe adaptive learning rate optimizers including AdaGrad, RMSProp, and Adam and explain how per-parameter learning rates improve convergence
Apply learning rate scheduling strategies including step decay, cosine annealing, warm restarts, and one-cycle policy to improve training convergence
Analyze loss landscapes including convexity, saddle points, plateaus, and sharp versus flat minima and their implications for generalization performance
Apply gradient clipping techniques including norm clipping and value clipping to prevent gradient explosion during training of deep networks and recurrent architectures
3
Regularization Techniques
5 topics
Describe L1 and L2 regularization including their effect on weight magnitudes, sparsity induction, and the relationship between weight decay and L2 regularization
Describe dropout regularization including how it creates implicit ensembles, the difference between training and inference behavior, and typical dropout rates by layer type
Apply batch normalization to stabilize training including its placement in the network, its effect on internal covariate shift, and the learned scale and shift parameters
Apply early stopping and data augmentation techniques to prevent overfitting and explain when each strategy is most effective
Analyze the relationship between model capacity, training data size, and regularization strength to determine appropriate regularization strategies for a given problem
4
Convolutional Neural Networks
6 topics
Describe convolutional layers including filter operations, stride, padding, feature map generation, and the parameter sharing that reduces model complexity compared to fully connected layers
Describe pooling operations including max pooling, average pooling, and global average pooling and explain their role in spatial dimensionality reduction and translation invariance
Describe landmark CNN architectures including LeNet, AlexNet, VGGNet, GoogLeNet (Inception), and ResNet and explain the key innovations each introduced
Apply residual connections and skip connections to explain how ResNet enables training of very deep networks by mitigating gradient degradation
Apply depthwise separable convolutions and channel attention mechanisms used in efficient architectures like MobileNet and EfficientNet
Analyze how receptive field size, network depth, and architectural choices affect a CNN's ability to capture spatial hierarchies in visual and sequential data
5
Recurrent Neural Networks
6 topics
Describe recurrent neural network architecture including hidden state propagation, weight sharing across time steps, and the concept of sequence modeling through temporal connections
Describe the vanishing and exploding gradient problems in RNNs including why long-range dependencies are difficult to learn and how gradient clipping provides a partial solution
Describe LSTM architecture including forget gates, input gates, output gates, and the cell state mechanism that enables learning long-range temporal dependencies
Describe GRU architecture including reset and update gates and compare GRU simplifications with LSTM in terms of parameter count and performance trade-offs
Apply bidirectional RNNs and sequence-to-sequence architectures to explain how encoder-decoder frameworks handle variable-length input and output sequences
Analyze when recurrent architectures are preferred over transformers and vice versa considering sequence length, computational constraints, and the nature of temporal dependencies
6
Transformer Architecture
7 topics
Describe the self-attention mechanism including query, key, and value computations, scaled dot-product attention, and how attention weights capture token relationships
Describe multi-head attention including how parallel attention heads capture different relationship patterns and how outputs are concatenated and projected
Describe positional encoding including sinusoidal and learned position embeddings and explain why position information must be explicitly added in attention-based architectures
Describe the full transformer block including layer normalization, residual connections, feedforward sublayers, and the pre-norm versus post-norm design variants
Apply the distinction between encoder-only, decoder-only, and encoder-decoder transformer variants and identify which architecture suits classification, generation, and translation tasks
Analyze the computational complexity of self-attention with respect to sequence length and evaluate strategies like sparse attention, linear attention, and FlashAttention for efficiency
Apply rotary position embeddings and ALiBi as alternatives to learned positional encodings and explain how they enable length generalization beyond the training context window
7
Generative Deep Learning
7 topics
Describe autoencoder architecture including encoder, latent space, and decoder components and explain how reconstruction loss drives representation learning
Describe variational autoencoders including the reparameterization trick, KL divergence regularization, and how VAEs enable sampling from a learned latent distribution
Describe generative adversarial network architecture including the generator, discriminator, adversarial training objective, and common training instabilities like mode collapse
Describe diffusion models including the forward noising process, reverse denoising process, noise scheduling, and how they generate high-quality samples through iterative refinement
Apply conditional generation techniques including class conditioning, text conditioning, and classifier-free guidance to control the output of generative models
Analyze the trade-offs between GANs, VAEs, diffusion models, and flow-based models in terms of sample quality, training stability, diversity, and computational cost
Apply normalizing flow architectures including the change of variables formula and invertible transformations for exact likelihood computation in generative modeling
8
Transfer Learning and Pretraining
5 topics
Describe transfer learning including the concept of pretrained representations, domain shift, and why features learned on large datasets generalize to downstream tasks
Apply feature extraction by freezing pretrained layers and training only a new classification head on a target dataset with limited labeled data
Apply fine-tuning strategies including full fine-tuning, gradual unfreezing, discriminative learning rates, and layer-wise learning rate decay for pretrained models
Describe self-supervised pretraining approaches including masked language modeling, contrastive learning, and masked image modeling and explain why they reduce dependence on labeled data
Analyze when to use feature extraction versus fine-tuning versus training from scratch based on dataset size, domain similarity, and computational budget constraints
9
Practical Deep Learning
6 topics
Apply GPU-accelerated training including data parallelism, mixed-precision training with FP16, and gradient accumulation for training with limited GPU memory
Apply hyperparameter tuning strategies including grid search, random search, Bayesian optimization, and population-based training for deep learning models
Apply data pipeline design including efficient loading, preprocessing, augmentation, caching, and prefetching to maximize GPU utilization during training
Describe model compression techniques including knowledge distillation, pruning, and quantization and explain how they reduce model size for deployment without catastrophic accuracy loss
Analyze training curves including loss and metric trajectories to diagnose underfitting, overfitting, learning rate issues, and data quality problems during model development
Describe distributed training strategies including data parallelism, model parallelism, pipeline parallelism, and ZeRO optimization for training models that exceed single-GPU memory
10
Modern Architectures
5 topics
Describe vision transformers including patch embedding, class tokens, and how self-attention replaces convolutions for image classification and recognition tasks
Describe graph neural networks including message passing, neighborhood aggregation, and how GNNs generalize deep learning to non-Euclidean structured data
Describe mixture-of-experts architectures including sparse gating, expert routing, and how conditional computation enables scaling model capacity without proportional compute increase
Apply state-space models including structured state spaces and selective state spaces to explain how they handle long sequences with linear computational complexity
Analyze the convergence of vision and language architectures toward unified transformer-based models and evaluate the implications for multimodal learning and foundation models
11
Loss Functions and Evaluation
5 topics
Describe cross-entropy loss including binary and categorical variants and explain the information-theoretic motivation behind log-likelihood-based training objectives
Describe contrastive and triplet loss functions including margin-based learning, positive-negative pair selection strategies, and their use in metric learning and embedding spaces
Apply appropriate loss functions for regression, classification, segmentation, and generation tasks including MSE, focal loss, dice loss, and perceptual loss
Analyze multi-task and multi-objective loss balancing strategies including uncertainty weighting, gradient normalization, and Pareto optimality for joint training objectives
Apply evaluation metrics for deep learning including accuracy, F1-score, AUC-ROC, mean average precision, and FID score and explain which metrics are appropriate for different task types
Hands-On Labs
Practice in a simulated cloud console or Python code sandbox — no account needed. Each lab runs entirely in your browser.
Scope
Included Topics
- Neural network architectures (feedforward, convolutional, recurrent, transformer), optimization algorithms (SGD, Adam, learning rate scheduling), regularization techniques (dropout, batch normalization, weight decay), generative models (autoencoders, GANs, diffusion models), transfer learning and fine-tuning, modern architectures (vision transformers, graph neural networks, state-space models), loss functions and training diagnostics
Not Covered
- Specific framework implementations (PyTorch, TensorFlow, JAX API details)
- Reinforcement learning algorithms and environments
- Production deployment and MLOps pipelines
- Mathematical proofs of convergence theorems
- Specific application domains (medical imaging, autonomous driving) beyond illustrative examples
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