Deep Learning Foundations: Building from Scratch
Nov 26, 2025
Understanding deep learning requires more than just using high-level frameworks. This post chronicles my journey building neural networks from the ground up, implementing everything from basic classifiers to modern CNNs and RNNs, gaining insights that frameworks often abstract away.
Deep Learning Foundations
- Core ML Algorithms: Implemented fundamental algorithms from scratch including K-Nearest Neighbors (KNN), Support Vector Machines (SVM), Softmax classifiers, and 2-layer neural networks. This hands-on approach revealed the mathematical foundations that modern frameworks abstract away.
- Vectorization & Performance: Applied vectorization techniques for performance optimization, producing 5x+ speedups by replacing nested loops with NumPy matrix operations. Learned how proper matrix operations are crucial for scalable deep learning.
- Modular Neural Networks: Built modular neural network components including forward/backward propagation, multiple optimizers (SGD, Momentum, Adam), and numerical gradient verification to ensure correctness.
Advanced Deep Learning
- Regularization Techniques: Implemented modern regularization methods including batch normalization, layer normalization, group normalization, and dropout. Understanding these techniques from scratch revealed how they enable training deeper networks and prevent overfitting.
- Convolutional Neural Networks: Built CNNs from scratch including convolution layers, max pooling, and spatial normalization. Applied these concepts using PyTorch on the CIFAR-10 dataset, bridging the gap between theory and practical implementation.
- Recurrent Neural Networks: Developed RNNs for sequence modeling by implementing vanilla RNN with backpropagation through time (BPTT). Applied the architecture to image captioning on the COCO dataset, learning how to handle sequential data and temporal dependencies.
Advanced Deep Learning Architectures
- Transformer Networks for Vision: Implemented multi-headed attention, positional encoding, and complete transformer encoder/decoder architectures from scratch in PyTorch. Built a Vision Transformer (ViT) that converts images into patch sequences and processes them through self-attention layers, reaching 45.8% accuracy on CIFAR-10 after just 2 epochs. Applied transformers to image captioning on COCO dataset by combining CNN feature extraction with transformer decoders.
- Self-Supervised Learning with SimCLR: Implemented contrastive learning framework using SimCLR, including data augmentation pipelines and normalized temperature-scaled cross-entropy loss. Developed both naive and vectorized implementations of the contrastive loss function. Demonstrated the power of self-supervised pretraining by delivering 82.4% classification accuracy compared to only 15.3% without pretraining, using just 10% of the CIFAR-10 training data.
- Attention Mechanisms & Scalability: Gained deep understanding of attention complexity (O(l²×d)) and architectural trade-offs in transformer models. Explored how multi-headed attention enables models to learn different relationship types simultaneously, and how transformers differ from RNNs by introducing parallelism and learning long-range dependencies. Applied these insights to both NLP-inspired image captioning and pure vision tasks with ViT.
Key Takeaways
- Mathematics Matters: Understanding gradient descent, backpropagation, and chain rule is essential
- Vectorization is Critical: Matrix operations provide massive performance gains over loops
- Modular Design: Building reusable components makes complex architectures manageable
- Theory + Practice: Implementing from scratch, then using frameworks provides deepest understanding
- Debugging Skills: Numerical gradient checking is invaluable for validating implementations