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Understanding Neural Networks from Scratch: A Deep Learning Notes Repository with C++ Implementation

A comprehensive learning resource for exploring artificial neural networks, including mathematical principles, C++ system architecture implementation, and in-depth analysis from perceptrons to backpropagation—ideal for learners who want to understand the underlying mechanisms.

neural networksC++deep learningbackpropagationWebAssemblymachine learningeducational
Published 2026-05-30 19:13Recent activity 2026-05-30 19:49Estimated read 7 min
Understanding Neural Networks from Scratch: A Deep Learning Notes Repository with C++ Implementation
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Section 01

Project Introduction: Notes Repository for Understanding Neural Networks from Scratch with C++ Implementation

Project Basic Information

This project combines an Obsidian notes repository with a C++ neural network engine, aiming to help learners deeply understand the underlying mechanisms of neural networks from first principles. It fills the gap where developers rely on high-level APIs but lack knowledge of mathematical principles and system implementation. Covering full-link content such as theoretical derivation, C++ architecture, and cross-platform deployment, it is suitable for technical learners who want to know not only the 'what' but also the 'why'.

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Section 02

Project Background: Why Build Neural Networks from Scratch?

Today, with the popularity of deep learning frameworks, most developers are used to calling high-level APIs of PyTorch/TensorFlow, but lack understanding of the mathematical principles and system implementation behind these tools. This project helps learners master the underlying logic of neural networks through a combination of theory and practice, filling this cognitive gap.

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Section 03

Mathematical Foundations: Analysis of Core Neural Network Logic

Perceptrons and Dimensional Contracts

  • Dot Product Operation: The dot product of the weight vector and input vector determines the neuron activation state
  • Dimensional Matching: Constraint relationships between input, hidden, and output layers
  • Bias Term Function: Key parameter for adjusting neuron activation thresholds

Backpropagation and Chain Rule

  • Chain Rule: Composite function derivative rule for error propagation from the output layer back to the input layer
  • Gradient Calculation: Impact of weight parameter gradients on network performance
  • Gradient Issues: Gradient vanishing/explosion in deep networks and mitigation solutions (e.g., ReLU replacing Sigmoid)
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Section 04

C++ System Architecture: From Theory to Production-Grade Implementation

Memory Management and Data Structures

  • std::vector Contiguous Memory: Suitable for storing neural network weights
  • Memory Layout Optimization: Improves efficiency of large-scale matrix operations
  • mt19937 Pseudorandom Numbers: Ensures symmetry breaking and reproducibility in weight initialization

Data Parsing and Binary I/O

  • CSV Parser: Reads training data line by line
  • Binary Model Files: Defines byte-level storage format for weights, biases, and layer structures
  • Cross-Platform Compatibility: Ensures model portability across different architectures
  • Fast Loading: Binary format has better performance than text format
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Section 05

Deployment Solutions: Cross-Platform Implementation Practices

WebAssembly Frontend Deployment

  1. Emscripten toolchain compiles C++ to .wasm files
  2. Generate JS glue code
  3. React frontend directly calls Wasm modules
  4. HTML canvas data local prediction Advantages: Privacy protection, low latency, no GPU server costs

REST API Backend Deployment

  • Containerize as Docker image
  • Deploy to Render/Fly.io serverless platforms
  • Provide standardized RESTful API interfaces Supports three modes: native binary, Wasm, cloud services
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Section 06

Learning Path and Target Audience

Recommended Learning Path

  1. Theoretical Foundation: Read mathematical derivations in Obsidian notes
  2. Code Implementation: Follow C++ code to build a multi-layer perceptron
  3. System Optimization: Study memory management and parallel computing techniques
  4. Deployment Practice: Try Wasm or REST API deployment

Target Audience

  • Computer Science Students: Deepen understanding of deep learning principles
  • Embedded Developers: Deploy on resource-constrained devices
  • Algorithm Engineers: Optimize model performance bottlenecks
  • Tech Enthusiasts: Explore AI underlying implementation
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Section 07

Project Highlights and Conclusion

Technical Highlights

  • First-Principles Teaching: Build from scratch without relying on existing frameworks
  • Dual Perspective: Mathematical abstraction + underlying implementation
  • Production-Ready: Industrial-grade code quality
  • Multi-Platform Support: Native, Wasm, cloud services
  • Complete Toolchain: Full process from data parsing to inference

Conclusion

This project represents a back-to-basics learning approach. Implementing neural networks from scratch deepens technical understanding, cultivates engineering thinking, and provides learners with a clear path for advancement.