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Related papers: The KoLMogorov Test: Compression by Code Generatio…

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Large Language Models (LLMs) have shown promising performance in code generation. However, how to reliably evaluate code generated by LLMs remains an unresolved problem. This paper presents CodeJudge, a code evaluation framework that…

Machine Learning · Computer Science 2024-10-04 Weixi Tong , Tianyi Zhang

Recent research explores optimization using large language models (LLMs) by either iteratively seeking next-step solutions from LLMs or directly prompting LLMs for an optimizer. However, these approaches exhibit inherent limitations,…

Optimization and Control · Mathematics 2024-03-06 Zeyuan Ma , Hongshu Guo , Jiacheng Chen , Guojun Peng , Zhiguang Cao , Yining Ma , Yue-Jiao Gong

Context compression aims to shorten long context inputs with minimal information loss for LLM inference acceleration. While existing methods have shown promise, they typically rely on complex compression modules or compression-specific…

Artificial Intelligence · Computer Science 2026-05-28 Guoxin Ma , Yibing Liu , Chengzhengxu Li , Yu Liang , Yan Wang , Yueyang Zhang , Kecheng Chen , Zhaohan Zhang , Zhiyuan Sun , Daiting Shi

Recent advancements in Large Language Model (LLM)-based Natural Language Generation evaluation have largely focused on single-example prompting, resulting in significant token overhead and computational inefficiencies. In this work, we…

Computation and Language · Computer Science 2025-03-05 Daniil Larionov , Steffen Eger

Modern data compression methods are slowly reaching their limits after 80 years of research, millions of papers, and wide range of applications. Yet, the extravagant 6G communication speed requirement raises a major open question for…

Information Theory · Computer Science 2025-05-01 Ziguang Li , Chao Huang , Xuliang Wang , Haibo Hu , Cole Wyeth , Dongbo Bu , Quan Yu , Wen Gao , Xingwu Liu , Ming Li

A drawback of Kolmogorov-Chaitin complexity (K) as a function from s to the shortest program producing s is its noncomputability which limits its range of applicability. Moreover, when strings are short, the dependence of K on a particular…

Computational Complexity · Computer Science 2010-12-20 Jean-Paul Delahaye , Hector Zenil

Large language models (LLMs) can now solve complex problems through long chain-of-thought (CoT) reasoning, but the trade-off between performance and token cost remains a central challenge. To address this issue, supervised fine-tuning (SFT)…

Artificial Intelligence · Computer Science 2026-05-28 Kohsei Matsutani , Gouki Minegishi , Takeshi Kojima , Yusuke Iwasawa , Yutaka Matsuo

The Minimum Description Length (MDL) principle offers a formal framework for applying Occam's razor in machine learning. However, its application to neural networks such as Transformers is challenging due to the lack of a principled,…

Machine Learning · Computer Science 2026-03-04 Peter Shaw , James Cohan , Jacob Eisenstein , Kristina Toutanova

Despite the increasing prevalence of large language models (LLMs), we still have a limited understanding of how their representational spaces are structured. This limits our ability to interpret how and what they learn or relate them to…

Post-training compression has been a widely employed approach to scale down large language model (LLM) and facilitate efficient inference. In various proposed compression methods, including pruning and quantization, calibration data plays a…

Computation and Language · Computer Science 2025-10-14 Bowei He , Lihao Yin , Huiling Zhen , Shuqi Liu , Han Wu , Xiaokun Zhang , Mingxuan Yuan , Chen Ma

Knowledge components (KCs) mapped to problems help model student learning, tracking their mastery levels on fine-grained skills thereby facilitating personalized learning and feedback in online learning platforms. However, crafting and…

We show that real-value approximations of Kolmogorov-Chaitin (K_m) using the algorithmic Coding theorem as calculated from the output frequency of a large set of small deterministic Turing machines with up to 5 states (and 2 symbols), is in…

Information Theory · Computer Science 2013-12-12 Fernando Soler-Toscano , Hector Zenil , Jean-Paul Delahaye , Nicolas Gauvrit

In this paper, we explore the idea of training large language models (LLMs) over highly compressed text. While standard subword tokenizers compress text by a small factor, neural text compressors can achieve much higher rates of…

Computation and Language · Computer Science 2024-12-16 Brian Lester , Jaehoon Lee , Alex Alemi , Jeffrey Pennington , Adam Roberts , Jascha Sohl-Dickstein , Noah Constant

Chain-of-Thought (CoT) reasoning enhances large language models (LLMs) by enabling step-by-step problem-solving, yet its extension to Long-CoT introduces substantial computational overhead due to increased token length. Existing compression…

Computation and Language · Computer Science 2025-11-14 Yibo Wang , Haotian Luo , Huanjin Yao , Tiansheng Huang , Haiying He , Rui Liu , Naiqiang Tan , Jiaxing Huang , Xiaochun Cao , Dacheng Tao , Li Shen

Compressing neural nets is an active research problem, given the large size of state-of-the-art nets for tasks such as object recognition, and the computational limits imposed by mobile devices. We give a general formulation of model…

Machine Learning · Computer Science 2017-07-06 Miguel Á. Carreira-Perpiñán

In this report, we investigate the potential use of large language models (LLM's) in the task of data compression. Previous works have demonstrated promising results in applying LLM's towards compressing not only text, but also a wide range…

Computation and Language · Computer Science 2026-01-07 Chen-Han Tsai

Large Language Models (LLMs) incur significant computational and memory costs when processing long prompts, as full self-attention scales quadratically with input length. Token compression aims to address this challenge by reducing the…

Computation and Language · Computer Science 2026-04-23 Zihao Xu , John Harvill , Ziwei Fan , Yizhou Sun , Hao Ding , Hao Wang

Automated unit test generation using large language models (LLMs) holds great promise but often struggles with generating tests that are both correct and maintainable in real-world projects. This paper presents KTester, a novel framework…

Software Engineering · Computer Science 2026-02-09 Anji Li , Mingwei Liu , Zhenxi Chen , Zheng Pei , Zike Li , Dekun Dai , Yanlin Wang , Zibin Zheng

The prohibitive sizes of Large Language Models (LLMs) today make it difficult to deploy them on memory-constrained edge devices. This work introduces $\rm CALDERA$ -- a new post-training LLM compression algorithm that harnesses the inherent…

Machine Learning · Computer Science 2024-11-05 Rajarshi Saha , Naomi Sagan , Varun Srivastava , Andrea J. Goldsmith , Mert Pilanci

Chain-of-thought prompting has emerged as a powerful technique for enabling large language models (LLMs) to solve complex reasoning tasks. However, these reasoning chains can be verbose, raising concerns about efficiency. In response,…

Computation and Language · Computer Science 2025-04-02 Ayeong Lee , Ethan Che , Tianyi Peng