An Algorithm for Computing Optimal Tokenizers in Practice
By
mcyc
A five-star bake. Worth schmearing, sharing, saving.
Summary
This article presents an algorithm capable of computing an optimal tokenizer in certain settings, despite optimal tokenization being theoretically intractable. The author draws parallels to the Traveling Salesman Problem (TSP), where difficult instances can be solved optimally using cutting-plane techniques. The post explores the practical solvability of a theoretically hard problem in natural language processing.
Key quotes
· 3 pulledIn this post, I will present an algorithm that was able to compute an optimal tokenizer in some settings.
This result is cool because optimal tokenization is theoretically intractable, but seems to be solvable in practice.
My finding is very similar to various results on the Traveling Salesman Problem (TSP), where even difficult instances can be solved optimally using cutting-plane techniques.
You might also wanna read
Bidirectional Evolutionary Search: A New Framework for Self-Improving Language Models
This paper introduces Bidirectional Evolutionary Search (BES), a novel search framework for self-improving language models that addresses li
Textual Autograd Mechanics: Computation Graphs in Language Optimization
This article explores the core mechanics of TextGrad, specifically focusing on Textual Gradient Descent (TGD) and how it leverages computati
Quantum Divide-and-Conquer TSP Solver Achieves Improved Exponential Base Over Classical Held-Karp Algorithm
This paper presents a quantum divide-and-conquer approach to the traveling salesman problem (TSP), a classic NP-hard optimization problem. T
How Large Language Models Perform Arithmetic Using Only Matrices
This article explores how large language models (LLMs) perform arithmetic operations like finding greatest common divisors using only matrix
New Framework Formalizes Learning from Language Feedback with Provable Performance Guarantees
This paper formalizes the Learning from Language Feedback (LLF) problem, providing a principled framework for interactive learning using lan
