Long-context evaluation asks whether a model can process, retrieve, and use distant information. An SSM specifies sequence processing through state updates. SSM efficiency does not establish reliable document retrieval, and a large attention window does not guarantee relevant evidence is used.
Attention needs both order information and a manageable memory footprint during generation.
Adapting without retraining every weight can mean two different things. LoRA-style PEFT still trains some parameters. ICL supplies examples in context without updating parameters during that inference. The source spans the end of Lecture 9, Lecture 10, and the ICL material in Lecture 11.
Reasoning Models: Spending Compute on Verifiable Answers | CMU 10-423 Lecture 20
Hallucination, leakage, and prompt injection are observable operational risks. Alignment theory asks which guarantees hold under specific formal assumptions. They require different evidence. Lectures 22 and 26 therefore have separate teaching guides, without turning one theorem into a universal impossibility claim.
A sequence such as “I like cats” is not a bag of independent words.
Scaling laws study model and data allocation under a budget. MoE increases expert capacity while activating selected experts. The former concerns allocation and empirical models; the latter concerns architecture and routing. Both deserve separate checks.
“Text plus images” does not specify the task. Text-to-image generation produces an image conditioned on text; a VLM may consume an image and produce an answer. Direction, output objective, and evaluation differ even when both use Transformers.
How the model reads a history, learns from targets, and chooses its next token are different questions. Attention mixes information; the training objective updates parameters; decoding selects output under a fixed model. Keeping them distinct prevents confusing a sampling change with a model update.
Diffusion and VAEs share probabilistic ideas without sharing the same generation procedure. Diffusion chains noise steps; a VAE approximates a latent posterior with an encoder and reconstructs through a decoder. This guide connects those ideas while directing each mechanism to its own lesson.
Lecture 10 of 11-868 uses Lei Li's own LightSeq and LightSeq2 as the case study and breaks them into four techniques: fuse every small operation outside matrix multiplication into one kernel, rewrite the LayerNorm and Softmax formulas to cut thread synchronizations, store parameters and gradients in FP16 but compute updates in FP32, and reuse memory based on backward-pass dependencies. The slides report 1.4-3.5x training speedups on WMT14 English-German. The official syllabus lists no public recording link; this guide works from slide page numbers and the two papers.
Lectures 14 and 15 of 11-868 go from the parameter server to PyTorch DDP. They use NCCL's five collectives (Broadcast, Reduce, AllReduce, ReduceScatter, AllGather) as building blocks, show why a ring makes broadcast time nearly independent of GPU count, and split AllReduce into ReduceScatter plus AllGather. The second lecture takes apart DDP's two key designs: bucketing gradients (25 MB by default) and starting synchronization before the backward pass finishes. The official syllabus lists no public recording link; this guide works from slide page numbers and the VLDB 2020 paper.
L05 follows a small sentiment classification network throughout. It expresses computation as a graph, evaluates it in topological order, sends gradients back with the chain rule and vector-Jacobian products, and then takes apart TensorFlow v1's placeholder, variable, operation, and session. One slide is labeled "important for HW2".
Standard attention writes the N×N score matrix out to HBM and reads it back, and most of its time goes to that traffic. FlashAttention uses tiling plus softmax rescaling so each block finishes inside SRAM, and the backward pass recomputes instead of storing. Tri Dao's guest slides for 11-868 give one set of numbers: the backward pass does 13% more FLOPs, 9x less HBM traffic, and runs 6x faster. FA3 and FA4 follow the same theme: when the hardware changes, the bottleneck moves, and the algorithm has to move with it.
CMU 11-868's three GPU lectures answer one question: why does a correct CUDA matmul use only 2.48% of an A100's FP32 compute? L02 covers SMs, warps, and the grid/block/thread hierarchy. L03 covers cudaMalloc, cudaMemcpy, and kernel indexing. L04 uses tiling, coalesced access, and bank-conflict avoidance to bring data closer than global memory, which sits about 500 cycles away.
The first 11-868 assignment has you write four CUDA kernels in src/combine.cu (map 15, zip 25, reduce 25, matmul 30 points), wire them into MiniTorch's Python backend, and finish with a 5-point integration test. Shared-memory optimizations for reduce and matmul are marked Optional. The assignment page says plainly that you need a GPU, and grading uses private test cases.
The second 11-868 assignment has three parts: autodiff's topological_sort and backpropagate (40 points), a Linear layer and MLP network (30), and binary cross entropy plus the training loop (30). You then train a sentiment classifier on SST-2 with GloVe embeddings and must reach 75% validation accuracy. The default backend is the CUDA kernels from Assignment 1, and the repo merged small Fall 2026 fixes on 2026-09-02.
HW3 has you add softmax loss, Dropout, LayerNorm, and Embedding to the MiniTorch you built in HW1 and HW2, assemble a pre-LN GPT-2 decoder, and train it on IWSLT14 German-English translation. Points: tensor functions 20, basic modules 20, decoder LM 40, translation pipeline 20. Full marks require passing the private tests and a BLEU of about 20±2. The assignment page warns that training alone takes at least 10 hours: one epoch is about an hour on a PSC V100, and you need 10. In Spring 2026 it went out Feb 4 and was due Feb 18.
The fourth 11-868 assignment has you follow LightSeq and hand-write CUDA kernels for attention softmax and LayerNorm (forward and backward), bind them into your own MiniTorch, then swap them into your HW3 Transformer and train for one epoch. Points: Softmax 40, LayerNorm 40, integration 20. The assignment page expects individual kernels to be 3.7x to 15.8x faster, but end-to-end training only about 1.1x faster, because of Amdahl's law. You need an NVIDIA GPU, and the repo has already been changed for Fall 2026.
CMU 11-868's fifth assignment switches to PyTorch and Hugging Face GPT-2. Using only torch.distributed and torch.multiprocessing, you write data parallelism (partition the data, set up a process group, average gradients; 50 points), then a GPipe-style pipeline (split the model, generate a clock schedule, run micro-batches on worker threads; 50 points). Both parts need benchmarks and plots on at least two GPUs: data parallelism must reach at least 1.5x speedup on 2 GPUs, and the pipeline must beat plain model parallelism. The Spring 2026 deadline was 3/25.