AI

Fine-tuning a 7-billion parameter model used to demand 100+ GB of VRAM—roughly the memory of four A100 GPUs. Today, the same task runs on a consumer RTX 4090 with 24 GB. This 4× reduction didn’t come from better hardware; it came from a mathematical insight about the structure of neural network adaptations. Low-Rank Adaptation (LoRA), introduced by Microsoft in 2021, fundamentally changed how we think about model fine-tuning. The core idea is deceptively simple: instead of updating all parameters, inject small trainable matrices that modify the model’s behavior. But behind this simplicity lies deep connections to linear algebra, information theory, and the geometry of neural network weight spaces. ...

When GPT-4V describes a meme’s irony or Claude identifies a bug in a screenshot, something remarkable happens: an architecture designed purely for text somehow “sees” and “understands” images. The magic isn’t in teaching language models to process pixels directly—it’s in a clever architectural bridge that transforms visual data into something language models already understand: tokens. Vision Language Models (VLMs) represent one of the most impactful innovations in modern AI, yet their architecture remains surprisingly underexplored compared to their text-only cousins. Let’s dissect how these systems actually work, from the moment an image enters the model to the final text output. ...

In 2022, training a transformer with 16K context length required either massive GPU memory or accepting severe approximations. Standard attention’s memory grew quadratically with sequence length—a 32K context demanded over 4GB just for intermediate attention matrices. Then Flash Attention arrived, reducing memory from $O(N^2)$ to $O(N)$ while computing exact attention, not an approximation. This breakthrough enabled GPT-4’s 128K context window, Llama’s extended sequences, and virtually every modern long-context LLM. The key insight wasn’t algorithmic cleverness alone—it was understanding that on modern GPUs, memory bandwidth, not compute, is the bottleneck. ...

A math student solves a complex integration problem. Her final answer is correct, but halfway through, she made a sign error that accidentally canceled out in the next step. The teacher gives full marks—after all, the answer is right. But should it count? This scenario captures the fundamental flaw in how we’ve traditionally evaluated Large Language Model (LLM) reasoning: Outcome Reward Models (ORMs) only check the final destination, ignoring whether the path was sound. Process Reward Models (PRMs) represent a paradigm shift—verifying every step of reasoning, catching those hidden errors that coincidentally produce correct answers, and enabling the test-time scaling that powers reasoning models like OpenAI’s o1 and DeepSeek-R1. ...

A 70-billion parameter model requires 140 GB of GPU memory in FP16. A consumer RTX 4090 has 24 GB. This arithmetic gap defined the boundary between “enterprise AI” and “what you can run at home” until quantization mathematics cracked the code. The counterintuitive reality: reducing precision from 16 bits to 4 bits—a 75% compression—often preserves over 95% of model quality. Not through magic, but through a profound understanding of how neural networks encode information. ...

For years, the AI community operated under a seemingly unshakeable assumption: the remarkable capabilities of large language models—from in-context learning to instruction following—inherently depend on autoregressive architectures. GPT, LLaMA, Claude, and virtually every dominant LLM shares the same fundamental design: predict the next token given all previous tokens. But what if this assumption was wrong? In February 2025, a paper from researchers at Renmin University of China challenged this paradigm with striking empirical evidence. LLaDA (Large Language Diffusion with mAsking), an 8B-parameter model trained entirely from scratch using diffusion processes, achieved performance competitive with LLaMA3 8B across diverse benchmarks. More remarkably, it solved problems that have plagued autoregressive models for years—the reversal curse being the most prominent. This isn’t merely an architectural curiosity; it’s a fundamental re-examination of how language models can learn and reason. ...

For years, the path to better LLMs seemed straightforward: more parameters, more training data, more compute. The scaling laws articulated by Kaplan et al. and refined by Chinchilla painted a clear picture—performance improved predictably with model size. Then OpenAI released o1, and suddenly the rules changed. A model that “thinks longer” at inference time was solving problems that eluded models 10x its size. The breakthrough wasn’t just engineering—it was a fundamental shift in how we think about compute allocation. The question flipped from “how big should we train?” to “how long should we let it think?” ...