Modules
1. What is a Neuron?
2. Neural Networks
3. How Training Works
4. Word Embeddings
5. Attention Mechanism
6. The Transformer
7. How LLMs Work
8. RAG Pipelines
9. Building AI Agents
10. Prompt Engineering
11. Linear Regression
12. Logistic Regression
13. Decision Trees
14. Random Forest
15. K-Means Clustering
16. Cosine Similarity
17. Types of AI & AI Agents
18. Tokenization in NLP
19. Fine-Tuning LLMs
20. Evaluating LLMs
21. Vector Databases Explained
22. Diffusion Models & Image Generation
23. Generative Adversarial Networks (GANs)
24. Reinforcement Learning Basics
25. RLHF: Reinforcement Learning from Human Feedback
26. Convolutional Neural Networks (CNNs)
27. RNNs and LSTMs
28. Overfitting & Regularization
29. Hyperparameter Tuning
30. Support Vector Machines (SVM)
31. Naive Bayes Classifier
32. PCA & Dimensionality Reduction
33. Model Context Protocol (MCP)
34. Why LLMs Hallucinate
35. Context Windows & Long Context
36. Multimodal AI (Vision + Language)
37. AI Ethics & Bias in Machine Learning
38. Classifier Evaluation Metrics: Precision, Recall, ROC & F1
39. Bayesian Inference & MAP Estimation
40. Backpropagation Explained
41. Autoencoders & Variational Autoencoders
42. NLP Text Representation: N-grams, Bag-of-Words & TF-IDF
43. Markov Decision Processes & the Bellman Equation
44. Data Preprocessing & Cleaning for Machine Learning
45. Feature Engineering for Machine Learning
46. ML Frameworks Compared: TensorFlow, PyTorch & JAX
47. Data Selection & Active Learning
48. ML Hardware Acceleration: GPUs, TPUs & Accelerators
49. ML Benchmarking Methodology
50. Responsible AI Engineering: Safety & Robustness
51. DBSCAN & Hierarchical Clustering
52. ML Pipelines: Chaining Preprocessing and Models
53. History & Evolution of AI Systems
54. ML System Design Fundamentals
55. The Machine Learning Workflow & Lifecycle
56. Data Engineering for Machine Learning
57. Model Compression: Quantization, Pruning & Distillation
58. Model Serving & Inference Systems
59. MLOps: Monitoring & Maintaining Models in Production
60. The Turing Test & AI Evaluation
61. Heuristics & Search in AI
62. Genetic Algorithms & Evolutionary Computation
63. Knowledge Representation & Semantic Networks
64. Expert Systems
65. AI and Games: How AlphaZero Works
66. AI in Bioinformatics
67. Symbolic vs. Connectionist AI
68. Constraint Satisfaction Problems
69. Fuzzy Logic Systems
70. Multivariate Regression Analysis
71. Non-Linear Least Squares Fitting
72. k-Nearest Neighbors (kNN)
73. Ridge & Lasso Regression
74. Polynomial Regression
75. Boosting Algorithms: AdaBoost, Gradient Boosting & XGBoost
76. Ensemble Modeling: Bagging, Boosting & Stacking Compared
77. Gaussian Mixture Models
78. Linear Discriminant Analysis (LDA)
79. Anomaly Detection in Machine Learning
80. Time Series Forecasting with Machine Learning
81. Survival Analysis for Machine Learning
82. Multicollinearity & Variance Inflation Factor (VIF)
83. Cross-Validation Strategies
84. Statistical Hypothesis Testing for ML Model Comparison
85. Activation Functions Deep Dive: ReLU, ELU, Sigmoid, Softmax & Swish
86. Neural Network Hyperparameters Explained
87. The Multilayer Perceptron (MLP)
88. CNN Building Blocks: Convolution & Pooling Layers
89. Famous CNN Architectures: VGG, ResNet & Beyond
90. GRUs vs LSTMs
91. Transformer-XL & Reformer: Handling Longer Sequences
92. NLU vs NLG: Understanding vs Generating Language
93. The Pre-Transformer Embedding Era: ELMo, ULMFit & BERT
94. Deep Reinforcement Learning (DRL) Overview
95. Policy Gradient Methods
96. Actor-Critic Methods
97. Self-Supervised Learning
98. Transfer Learning
99. Batch Normalization & Layer Normalization
100. ML Deployment Paradigms: Cloud, Edge & Mobile
101. Edge AI & TinyML
102. System Balance: Matching ML Workloads to Hardware
103. Neural Computation Fundamentals
104. Network Architecture Design Tradeoffs
105. Distributed Training: Data & Model Parallelism
106. Federated Learning
107. ML Reproducibility Engineering
108. Feature Stores Explained
109. Model Registry & Versioning
110. A/B Testing ML Models in Production
111. Shadow Deployment & Canary Releases for ML
112. ML Cost Optimization
113. ONNX & Model Interoperability
114. Model Explainability: SHAP & LIME
115. ML System Observability
116. Synthetic Data Generation
117. Data Augmentation Techniques
118. ML Security: Adversarial Attacks
119. Privacy-Preserving Machine Learning
120. Chain-of-Thought Reasoning
121. Mixture of Experts (MoE)
122. Speculative Decoding
123. Constitutional AI & Alignment Techniques
124. Tool-Use Patterns in LLM Agents
125. Advanced RAG Patterns: Hybrid Search & Re-ranking
126. Semantic Search vs Keyword Search
127. Fine-Tuning Embedding Models
128. Prompt Injection Security
129. AI Red-Teaming
130. Speech Recognition (ASR)
131. Text-to-Speech (TTS)
132. Computer Vision: Object Detection
133. Image Segmentation
134. OCR & Document AI
135. NumPy Fundamentals for Machine Learning
136. Pandas for Data Science
137. Data Visualization for ML with Matplotlib
138. Model Interpretability: Feature Importance Methods
139. ML Experiment Tracking
140. AutoML Explained
141. Handling Imbalanced Data: SMOTE & Resampling Techniques
142. Multi-Label Classification
143. Multi-Task Learning
144. Zero-Shot & Few-Shot Learning
145. Curriculum Learning
146. Model Calibration
147. Snapshot & Neural Network Ensembles
148. Knowledge Graphs in AI
149. Jupyter Notebooks for Machine Learning
150. Linear Algebra for Machine Learning
151. Calculus for Machine Learning
152. Probability Theory for Machine Learning
153. Information Theory: Entropy, Cross-Entropy & KL Divergence
154. Optimization Algorithms: SGD, Adam & RMSprop Compared
155. Convex vs. Non-Convex Optimization
156. Lagrange Multipliers & Constrained Optimization
157. Monte Carlo Methods in Machine Learning
158. Numerical Stability in Machine Learning
159. The Central Limit Theorem for Machine Learning
160. Bootstrapping & Resampling Methods
161. Bayesian vs. Frequentist Statistics
162. Confidence Intervals for ML Metrics
163. Power Analysis & Sample Size Calculation
164. A/A Testing & Experiment Validity Checks
165. The Adam Optimizer Explained
166. Learning Rate Schedules: Warmup, Cosine Annealing & Step Decay
167. Gradient Clipping
168. Mixed Precision Training
169. Weight Initialization Strategies
170. Association Rule Mining & the Apriori Algorithm
171. Collaborative Filtering for Recommender Systems
172. Matrix Factorization for Recommender Systems
173. Content-Based Recommender Systems
174. The Cold Start Problem in Recommender Systems
175. Spectral Clustering
176. Mean Shift Clustering
177. Local Outlier Factor (LOF)
178. t-SNE Deep Dive
179. UMAP Deep Dive
180. Graph Neural Networks (GNNs)
181. Siamese Networks
182. One-Shot Learning & Meta-Learning (MAML)
183. Neural Ordinary Differential Equations (Neural ODEs)
184. Normalizing Flows
185. Energy-Based Models
186. Restricted Boltzmann Machines (RBMs)
187. Self-Organizing Maps (SOMs)
188. Capsule Networks
189. Spiking Neural Networks (SNNs)
190. Part-of-Speech Tagging & Named Entity Recognition
191. Dependency Parsing: Representing Sentence Structure
192. Coreference Resolution: Tracking Who's Who in Text
193. Text Summarization: Extractive vs. Abstractive
194. Machine Translation: From Rule-Based to Neural
195. Language Model Perplexity: What It Measures
196. Subword Tokenization Deep Dive: BPE, WordPiece & Unigram
197. Byte-Level Tokenization: Solving the Unknown-Token Problem
198. Instruction Tuning Datasets: Building FLAN & Alpaca-Style Data
199. RLHF Reward Hacking: When Models Game the Reward Model
200. Image Classification Metrics: Top-1 & Top-5 Accuracy
201. Super-Resolution with GANs
202. Neural Style Transfer
203. Human Pose Estimation
204. Face Recognition Systems
205. Video Action Recognition
206. Point Clouds & 3D Vision
207. SLAM Basics (Simultaneous Localization and Mapping)
208. Vision Data Augmentation Deep Dive
209. Image Captioning
210. Multi-Agent Reinforcement Learning
211. Inverse Reinforcement Learning
212. Imitation Learning
213. Reward Shaping in Reinforcement Learning
214. The Sparse Rewards Problem in RL
215. Sim-to-Real Transfer in Robotics
216. Offline Reinforcement Learning
217. Curiosity-Driven Exploration
218. Hierarchical Reinforcement Learning
219. Model-Based Reinforcement Learning
220. The ReAct Agent Pattern
221. Plan-and-Execute Agents
222. Multi-Agent Orchestration Patterns
223. Agent Memory Architectures
224. Agent Evaluation Methodology
225. Prompt Caching & Context Caching
226. Structured Outputs & JSON Mode
227. Vector Database Comparison Deep Dive
228. LoRA Merging & Model Merging
229. Quantization Formats: GGUF, AWQ & GPTQ Compared
230. AI Regulation: The EU AI Act & Risk-Based Frameworks
231. AI & Copyright: Open Questions
232. The Environmental Impact of AI
233. AI and the Future of Work
234. Learning to Rank for Search
235. Fraud Detection Systems with Machine Learning
236. Credit Scoring Models
237. Demand Forecasting with Machine Learning
238. Small Language Models (SLMs) vs. LLMs
239. On-Device LLMs
240. The Hugging Face Ecosystem Overview
241. LangChain vs. LlamaIndex
242. Agent Framework Comparison: AutoGPT, CrewAI & LangGraph
243. Feature Crossing for Recommenders
244. A/B Testing ML-Powered Products
245. Isolation Forest Deep Dive
246. OPTICS Clustering
247. Affinity Propagation Clustering
248. Decision Stumps & Weak Learners
249. Hopfield Networks
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AI & MLDeep
Advanced

ML Hardware Acceleration: GPUs, TPUs & Accelerators

12 min read

Learn
Deep Reading
Estimated 12 mins
Prereq
Advanced
Requires advanced math/coding
Interactive
Static Playbook
Static guide & reference tables

It's all matrix multiplication

Strip away the architecture diagrams and nearly all of deep learning reduces to one operation performed an enormous number of times: multiplying matrices (and the closely related operation of convolving tensors, which can itself be expressed as matrix multiplication). A linear layer is a matrix multiply. Attention is a handful of matrix multiplies plus a softmax. Training multiplies that same workload by the number of parameters, the number of tokens, and the number of steps.

This single fact explains the entire hardware landscape. Chip designers aren't trying to build a general-purpose fast computer — they're trying to build the fastest possible machine for doing enormous numbers of multiply-accumulate operations in parallel, as cheaply and with as little wasted energy as possible. Every major hardware decision in ML — from GPU core counts to TPU systolic arrays to the existence of specialized accelerators — traces back to optimizing that one operation.

GPUs: parallel, general-purpose, flexible

GPUs were originally built to rasterize triangles for graphics, which turned out to require exactly the kind of massively parallel, repetitive arithmetic that neural networks also need. A modern GPU contains thousands of relatively simple cores, each capable of doing arithmetic independently, organized into groups that execute the same instruction across many data elements simultaneously (SIMD/SIMT execution).

For matrix multiplication, a GPU breaks the big matrix into tiles, assigns tiles to different cores, and runs them in parallel. Modern GPUs (NVIDIA's since Volta) also include dedicated tensor cores — hardware units purpose-built to do small matrix multiplications (e.g., 4x4 blocks) in a single operation, rather than looping through scalar multiply-adds. This is why mixed-precision training (using lower-precision formats like FP16 or BF16) is so much faster: tensor cores are specifically optimized for those formats.

GPUs remain the most flexible accelerator — they run arbitrary CUDA/compute kernels, support a vast software ecosystem, and work well for research where the computation graph changes frequently.

TPUs: a systolic array built for one job

Google's Tensor Processing Units take a more specialized approach. Instead of thousands of independent cores coordinating via shared memory, a TPU core centers on a systolic array: a large grid of simple multiply-accumulate units wired directly to their neighbors, through which data flows in a synchronized rhythm (the name comes from the pulsing, heartbeat-like movement of data, like blood through a systolic cycle).

In a systolic array, weight values are loaded into the grid once and held stationary. Activations stream in from one edge, and partial sums flow through the grid, picking up a multiply-accumulate at every cell, until finished results stream out the other side. Because data moves directly from one compute cell to its neighbor instead of constantly reading and writing to memory, the array achieves very high arithmetic density with comparatively low power draw and chip area, at the cost of flexibility — a TPU is good at exactly this choreographed data flow and worse at irregular, branching computation.

The practical consequence: TPUs tend to win on large, regular matrix-multiply-heavy workloads at scale (TPU pods interconnect many chips with very high-bandwidth links purpose-built for distributed training), while GPUs retain the edge on flexibility, software maturity, and workloads with more irregular control flow.

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Note

Chip marketing leads with peak FLOPs (floating-point operations per second), but most real ML workloads are memory-bound, not compute-bound. The arithmetic units sit idle waiting for data to arrive from memory. This is measured as arithmetic intensity — the ratio of compute operations to bytes moved. Operations with low arithmetic intensity (like applying an activation function, or attention at long context lengths) spend most of their time waiting on memory bandwidth, not computing. This is exactly why terms like "HBM" (high-bandwidth memory) and techniques like FlashAttention — which restructure computation specifically to reduce memory traffic, not FLOPs — matter so much in practice.

GPU vs. TPU: conceptual comparison

DimensionGPUTPU
Core architectureThousands of parallel cores + tensor coresSystolic array of multiply-accumulate cells
FlexibilityHigh — general-purpose compute (CUDA/ROCm)Lower — optimized specifically for matrix-heavy ML ops
Best fitResearch, varied workloads, irregular control flowLarge-scale training/inference with regular, known-shape matmuls
Software ecosystemMature, broad (every framework targets it)Narrower (primarily JAX/TensorFlow, via XLA)
Scaling modelNVLink/InfiniBand clustersPurpose-built pod interconnect for massive chip counts
AvailabilityWidely available across cloud providers and on-premPrimarily available through Google Cloud

"Accelerator" means more than GPU or TPU

GPUs and TPUs get the attention, but the broader category of ML accelerators is wider. AWS builds its own chips (Trainium for training, Inferentia for inference). Several startups (Cerebras, Groq, SambaNova, Graphcore) have built chips with fundamentally different memory architectures — for example putting far more memory directly on the compute die (SRAM) rather than relying on external HBM, trading total capacity for enormously higher bandwidth. Apple's Neural Engine and similar mobile NPUs (neural processing units) accelerate inference on-device at a fraction of the power a GPU would draw, because mobile workloads prioritize energy efficiency over raw throughput.

What unifies all of these under "accelerator": each one makes a deliberate trade-off between flexibility, memory bandwidth, on-chip memory capacity, and power, tuned for a specific slice of the ML workload — training at scale, high-throughput inference, or low-power edge inference. There is no single best accelerator; there's a best accelerator for a given workload shape and deployment constraint.

Note

A common and costly mistake is upgrading to more powerful compute (more FLOPs) to fix a problem that is actually a memory-bandwidth or data-loading bottleneck. Profile first: if GPU utilization is low while training, the issue is often data pipeline throughput or memory movement, not insufficient compute. Buying a faster chip won't fix a bottleneck that chip isn't the cause of.

What's next

Choosing the right accelerator only matters if you can reliably measure whether it's actually faster or better for your workload. The next lesson, ML Benchmarking Methodology, covers how to measure ML systems rigorously — fixed hardware, fixed data, and the pitfalls that make so many published benchmark comparisons misleading.

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