By: PrintableKanjiEmblem
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Topic: Reference
Overview
Large‑Language Models (LLMs) are transformer‑based neural nets trained on terabytes of text to learn a contextual distribution over tokens.
The training pipeline is a blend of data engineering, deep‑learning research, and large‑scale distributed systems.
Below is a “full stack” walk‑through aimed at someone who’s built distributed software and written low‑level code.
1. Data Pipeline
| Stage | What you do | Why it matters | 
|---|---|---|
| Corpus collection | Web‑scraping, public corpora (Common Crawl, Wikipedia, books, code), proprietary data. | Determines the model’s inductive biases and knowledge. | 
| Deduplication / filtering | Remove exact or near‑duplicates, profanity filters, harmful content flags. | Prevents data leakage, reduces redundancy, keeps the dataset clean. | 
| Sharding | Split the corpus into shards (~1 GB each). | Enables parallel ingestion, deterministic random access. | 
| Tokenization | Byte‑Pair Encoding (BPE), SentencePiece, or WordPiece. | Turns raw text into integer IDs; the choice influences vocabulary size and OOV handling. | 
| Pre‑tokenization transforms | Lowercasing, whitespace normalisation, special token insertion ( ,). | Standardises the input and helps the model learn boundaries. | 
| Dataset construction | Convert shards to a dataset that supports streaming: TextDataset,IterableDataset. | Allows reading data without keeping it all in memory. | 
| Sequence packing | For transformer training, break each shard into fixed‑length token sequences (e.g. 2048 tokens). | Enables efficient batching and padding‑free computation. | 
| Bucketing / collate | Group similar‑length sequences together. | Minimises padding, improves GPU utilisation. | 
Implementation hint: Use torch.utils.data.IterableDataset with a generator that reads the shards sequentially, then yields mini‑batches to a collate function that pads to the max length in the batch.
2. Model Architecture
| Sub‑module | Purpose | Typical design choices | 
|---|---|---|
| Embedding layer | Turns token IDs into dense vectors. | 
 | 
| Positional encoding | Adds order information. | Learned positional embeddings or sinusoidal embeddings. | 
| Transformer blocks | Core transformer: self‑attention + MLP + residuals. | 12–96 layers, 768–12288 hidden dim, 12–128 heads. | 
| LayerNorm | Stabilises training. | Pre‑ or post‑LayerNorm depending on the variant. | 
| Output head | Predict next‑token distribution. | Linear layer tied to embedding ( weight = embedding.weight). | 
Key equations
- Scaled Dot‑Product AttentionAttention(Q,K,V)=softmax (QK⊤dk)VAttention(Q,K,V)=softmax(dkQK⊤)V
- Multi‑Head AttentionMH(Q,K,V)=Concat(head1,…,headh)WOMH(Q,K,V)=Concat(head1,…,headh)WO
- Position‑wise Feed‑ForwardFFN(x)=max(0,xW1+b1)W2+b2FFN(x)=max(0,xW1+b1)W2+b2
3. Training Objective & Loss
| Objective | Loss | Why it is chosen | 
|---|---|---|
| Autoregressive LM | Cross‑entropy over next‑token | Enables free‑form text generation. | 
| Masked LM (BERT style) | Cross‑entropy over masked tokens | Enables bidirectional context; used for fine‑tuning. | 
For GPT‑style models the loss is computed over every token in the sequence:
L=1N∑i=1NCE(pθ(xi+1∣x1:i),one-hot(xi+1))L=N1i=1∑NCE(pθ(xi+1∣x1:i),one-hot(xi+1))
Regularisation tricks
| Trick | Effect | 
|---|---|
| Label smoothing (e.g., 0.1) | Reduces over‑confidence, improves calibration. | 
| Weight decay (AdamW) | Encourages smaller weights, improves generalisation. | 
| Dropout | 0.1–0.2 on attention & FFN; mitigates overfitting. | 
| Stochastic Depth (DropPath) | Randomly skips entire layers during training. | 
4. Optimisation
| Component | Detail | Why it matters | 
|---|---|---|
| Optimizer | AdamW (Adam with decoupled weight decay). | Proven to converge faster on transformers. | 
| Learning‑rate schedule | Cosine decay with linear warm‑up (e.g., 3 k steps). | Stabilises early training, avoids catastrophic updates. | 
| Batch‑size | Effective batch = gradient_accumulation_steps × local_batch × num_devices. | Larger batches improve gradient estimate but need more memory. | 
| Gradient clipping | Clip by norm (e.g., 1.0). | Prevents exploding gradients in long sequences. | 
| Mixed‑precision | FP16 + loss‑scale or BF16 on TPU. | Cuts memory, speeds up inference/training, keeps loss stable. | 
Example hyper‑parameters for a 175B GPT‑3‑style run:
| Param | Value | 
|---|---|
| 
 | 12288 | 
| 
 | 96 | 
| 
 | 96 | 
| 
 | 2048 | 
| 
 | 50257 | 
| 
 | 8 × 2048 tokens | 
| 
 | 16 | 
| 
 | 0.00025 | 
| 
 | 0.1 | 
| 
 | 250k | 
| 
 | 300k | 
5. Distributed Training & Hardware
5.1 Parallelism Strategies
| Strategy | What it splits | Typical use‑case | 
|---|---|---|
| Data Parallelism (DDP) | Input batches | Simple, scales up to ~128 GPUs | 
| Tensor Parallelism | Weight matrices inside a layer | Needed for >1 TB models (e.g., GPT‑3, PaLM) | 
| Pipeline Parallelism | Stages of the model across devices | Helps when model size > GPU memory but < 1 TB | 
| Sharded Optimizer State | Optimiser parameters (AdamW) | Saves GPU memory when using large batch sizes | 
| Off‑loading (CPU, NVMe) | Activations, gradients | Allows scaling beyond GPU memory limits | 
Popular libraries: DeepSpeed (ZeRO‑3), Megatron‑LLaMA (tensor + pipeline parallelism), NVIDIA Megatron‑LM, GLaM, etc.
5.2 Hardware Landscape
| Hardware | Memory per core | Throughput | Notes | 
|---|---|---|---|
| NVIDIA A100 80 GB | 80 GB | ~200 TFLOP/s FP16 | Standard for 70–175 B models | 
| NVIDIA H100 80 GB | 80 GB | ~350 TFLOP/s FP8/FP16 | Higher bandwidth, supports FP8 training | 
| Google TPU v4 | 32 GB | ~400 TFLOP/s | Native BF16, 5 TB‑scale training | 
| AMD Instinct MI250X | 128 GB | ~200 TFLOP/s FP16 | Good for pipeline parallelism | 
Memory budgeting:
total_mem ≈ 2×(emb + transformer + activations) + optimizer
A typical rule‑of‑thumb is to keep activations ~ 40 % of memory. Activation checkpointing (aka recomputation) trades compute for memory.
6. Training Workflow (Pseudo‑code)
# Simplified training loop using DeepSpeed ZeRO-3
import deepspeed
import torch
from transformers import GPT2Config, GPT2LMHeadModel
config = GPT2Config(
    vocab_size=50257,
    n_embd=12288,
    n_layer=96,
    n_head=96,
    bos_token_id=50256,
    eos_token_id=50256,
)
model = GPT2LMHeadModel(config).to('cuda')
optimizer, model, _, _ = deepspeed.initialize(
    args=deepspeed_args,
    model=model,
    model_parameters=model.parameters(),
    config=deepspeed_config,
)
data_loader = build_dataset(...)
for epoch in range(num_epochs):
    for step, batch in enumerate(data_loader):
        inputs = batch['input_ids'].to('cuda')
        labels = batch['labels'].to('cuda')
        outputs = model(inputs, labels=labels)
        loss = outputs.loss / deepspeed_args.gradient_accumulation_steps
        model.backward(loss)
        optimizer.step()
        optimizer.zero_grad()
        if step % 100 == 0:
            print(f'Epoch {epoch} Step {step} Loss {loss.item()}')
Key points:
- DeepSpeed ZeRO‑3 automatically shards optimizer state & gradients.
- Gradient accumulation lets you simulate a huge batch on a few GPUs.
- Automatic mixed‑precision (AMP) is enabled by default.
7. Post‑Training
7.1 Fine‑tuning & Adaptation
| Approach | When to use | Typical pipeline | 
|---|---|---|
| LoRA (Low‑Rank Adaptation) | Adapting to a new domain with few parameters | Freeze base, add rank‑ radapters in each attention/feed‑forward; train only adapters. | 
| Prefix Tuning | Prompt‑engineering for few‑shot tasks | Add learnable prefix tokens to the attention queries. | 
| P-tuning | Fine‑tune the prompt embeddings | Insert a small learnable token sequence. | 
| Full‑model fine‑tune | Large domain shift or supervised task | Train all weights; requires more compute. | 
7.2 RLHF (Reinforcement Learning from Human Feedback)
- Reward model – supervised regression on human‑ranked responses.
- Proximal Policy Optimization – fine‑tune language model to maximise reward.
- Safety constraints – policy‑based or rejection sampling.
8. Evaluation & Metrics
| Metric | What it tells you | 
|---|---|
| Perplexity | Log‑likelihood of validation data. Lower is better. | 
| BLEU / ROUGE | N‑gram overlap for summarisation / translation tasks. | 
| Zero‑shot benchmarks (SuperGLUE, MMLU, etc.) | General reasoning ability. | 
| Calibration error | Probability estimates vs. empirical correctness. | 
| Bias & toxicity tests | Detecting harmful outputs. | 
Tip: For large models, perplexity alone is insufficient; use a suite of downstream tasks and human evaluation.
9. Common Pitfalls & Gotchas
| Pitfall | Fix | 
|---|---|
| Memory fragmentation | Use contiguous tensors, avoid inplace ops that break autograd graph. | 
| Gradient explosion on long contexts | Gradient clipping, use RMSprop‑like optimisers (AdamW is fine). | 
| Over‑fitting to short‑text datasets | Mix in longer documents, use longer context windows during training. | 
| Data leakage (public model leaks training data) | Deduplication, privacy‑preserving filtering. | 
| Inadequate hyper‑parameter tuning | Automate with Optuna or Ray Tune; monitor learning‑rate dynamics. | 
10. Quick Reference: Tooling
| Tool | Purpose | Language | 
|---|---|---|
| TensorFlow / PyTorch | Core DL frameworks | Python | 
| DeepSpeed / ZeRO | Model & optimizer sharding | Python | 
| Megatron‑LM | Large‑scale transformer training | Python | 
| JAX / Flax | TPU‑native training | Python | 
| NVMe‑Offload | Gradient/activation off‑load | C/C++ | 
| Dask / Ray | Distributed data prep | Python | 
| MLflow / Weights & Biases | Experiment tracking | Python | 
Bottom line
Training an LLM is essentially training a gigantic, multi‑layer transformer on a massive, clean, tokenised corpus, using distributed, memory‑efficient parallelism, and a carefully tuned optimisation loop. Once you master the data pipeline and the distributed system, the rest is largely a matter of hyper‑parameter sweeps and scaling experiments.
Happy training! 🚀
