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Algorithmic information theory studies description complexity and randomness and is now a well known field of theoretical computer science and mathematical logic. There are several textbooks and monographs devoted to this theory where one…

Information Theory · Computer Science 2015-04-21 Alexander Shen

Contemporary translation engines based on the encoder-decoder framework have made significant strides in development. However, the emergence of Large Language Models (LLMs) has disrupted their position by presenting the potential for…

Computation and Language · Computer Science 2024-05-28 Jiali Zeng , Fandong Meng , Yongjing Yin , Jie Zhou

Large Language Models (LLMs) have demonstrated remarkable capabilities across a variety of software engineering and coding tasks. However, their application in the domain of code and compiler optimization remains underexplored. Training…

Programming Languages · Computer Science 2024-07-04 Chris Cummins , Volker Seeker , Dejan Grubisic , Baptiste Roziere , Jonas Gehring , Gabriel Synnaeve , Hugh Leather

Estimating the joint probability mass function (PMF) of a set of random variables lies at the heart of statistical learning and signal processing. Without structural assumptions, such as modeling the variables as a Markov chain, tree, or…

Signal Processing · Electrical Eng. & Systems 2018-10-17 Nikos Kargas , Nicholas D. Sidiropoulos , Xiao Fu

This paper studies best finitely supported approximations of one-dimensional probability measures with respect to the $L^r$-Kantorovich (or transport) distance, where either the locations or the weights of the approximations' atoms are…

Probability · Mathematics 2019-03-06 Chuang Xu , Arno Berger

Recent advances in Large Language Models (LLMs) have shown promise in function-level code generation, yet repository-level software engineering tasks remain challenging. Current solutions predominantly rely on proprietary LLM agents, which…

Normalized information distance (NID) uses the theoretical notion of Kolmogorov complexity, which for practical purposes is approximated by the length of the compressed version of the file involved, using a real-world compression program.…

Computational Complexity · Computer Science 2009-10-23 Sebastiaan A. Terwijn , Leen Torenvliet , Paul M. B. Vitanyi

Increasing test-time computation has emerged as a promising direction for improving language model performance, particularly in scenarios where model finetuning is impractical or impossible due to computational constraints or private model…

Computation and Language · Computer Science 2025-12-22 Gonçalo Faria , Noah A. Smith

Word embeddings learnt from large corpora have been adopted in various applications in natural language processing and served as the general input representations to learning systems. Recently, a series of post-processing methods have been…

Machine Learning · Computer Science 2019-10-25 Shuai Tang , Mahta Mousavi , Virginia R. de Sa

In this paper, we leverage low-level compiler intermediate representations (IR) to improve code translation. Traditional transpilers rely on syntactic information and handcrafted rules, which limits their applicability and produces…

Programming Languages · Computer Science 2023-04-25 Marc Szafraniec , Baptiste Roziere , Hugh Leather , Francois Charton , Patrick Labatut , Gabriel Synnaeve

Context Optimization (CoOp) has emerged as a simple yet effective technique for adapting CLIP-like vision-language models to downstream image recognition tasks. Nevertheless, learning compact context with satisfactory base-to-new, domain…

Computer Vision and Pattern Recognition · Computer Science 2025-04-15 Kun Ding , Xiaohui Li , Qiang Yu , Ying Wang , Haojian Zhang , Shiming Xiang

interpreters are tools to compute approximations for behaviors of a program. These approximations can then be used for optimisation or for error detection. In this paper, we show how to describe an abstract interpreter using the type-theory…

Logic in Computer Science · Computer Science 2008-10-20 Yves Bertot

Kolmogorov complexity theory is used to tell what the algorithmic informational content of a string is. It is defined as the length of the shortest program that describes the string. We present a programming language that can be used to…

Category Theory · Mathematics 2013-06-13 Noson S. Yanofsky

Concept Bottleneck Models (CBMs) decompose image classification into a process governed by interpretable, human-readable concepts. Recent advances in CBMs have used Large Language Models (LLMs) to generate candidate concepts. However, a…

Computation and Language · Computer Science 2025-06-03 Yiwen Jiang , Deval Mehta , Wei Feng , Zongyuan Ge

Evaluating the quality of machine-generated natural language content is a challenging task in Natural Language Processing (NLP). Recently, large language models (LLMs) like GPT-4 have been employed for this purpose, but they are…

Computation and Language · Computer Science 2024-12-23 Daniil Larionov , Steffen Eger

We initiate a systematic study of utilizing predictions to improve over approximation guarantees of classic algorithms, without increasing the running time. We propose a systematic method for a wide class of optimization problems that ask…

Data Structures and Algorithms · Computer Science 2024-11-26 Antonios Antoniadis , Marek Eliáš , Adam Polak , Moritz Venzin

Text classification is a fundamental task in natural language processing (NLP), and large language models (LLMs) have demonstrated their capability to perform this task across various domains. However, the performance of LLMs heavily…

Computation and Language · Computer Science 2024-11-15 Mohammad Mahdi Mohajeri , Mohammad Javad Dousti , Majid Nili Ahmadabadi

Despite their success, Large-Language Models (LLMs) still face criticism due to their lack of interpretability. Traditional post-hoc interpretation methods, based on attention and gradient-based analysis, offer limited insights as they only…

Computation and Language · Computer Science 2025-07-17 Francesco De Santis , Philippe Bich , Gabriele Ciravegna , Pietro Barbiero , Danilo Giordano , Tania Cerquitelli

Cross-lingual transfer learning is an important property of multilingual large language models (LLMs). But how do LLMs represent relationships between languages? Every language model has an input layer that maps tokens to vectors. This…

Computation and Language · Computer Science 2023-12-19 Andrea W Wen-Yi , David Mimno

KV cache has become a de facto technique for the inference of large language models (LLMs), where tensors of shape (layer number, head number, sequence length, feature dimension) are introduced to cache historical information for…

Machine Learning · Computer Science 2025-05-19 Bokai Lin , Zihao Zeng , Zipeng Xiao , Siqi Kou , Tianqi Hou , Xiaofeng Gao , Hao Zhang , Zhijie Deng
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