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The Automatic Amortized Resource Analysis (AARA) derives program-execution cost bounds using types. To do so, AARA often makes use of cost-free types, which are critical for the composition of types and cost bounds. However, inferring…

Programming Languages · Computer Science 2025-09-30 David M Kahn , Jan Hoffmann , Thomas Reps , Jessie Grosen

Quantifier elimination (QE) and Craig interpolation (CI) are central to various state-of-the-art automated approaches to hardware and software verification. They are rooted in the Boolean setting and are successful for, e.g., first-order…

Logic in Computer Science · Computer Science 2026-01-13 Kevin Batz , Joost-Pieter Katoen , Nora Orhan

Quantization enables efficient deployment of large language models (LLMs) in resource-constrained environments by significantly reducing memory and computation costs. While quantized LLMs often maintain performance on perplexity and…

Artificial Intelligence · Computer Science 2025-08-28 Yao Fu , Xianxuan Long , Runchao Li , Haotian Yu , Mu Sheng , Xiaotian Han , Yu Yin , Pan Li

We introduce a method that dramatically reduces fine-tuning VRAM requirements and rectifies quantization errors in quantized Large Language Models. First, we develop an extremely memory-efficient fine-tuning (EMEF) method for quantized…

Computation and Language · Computer Science 2023-06-16 Yuji Chai , John Gkountouras , Glenn G. Ko , David Brooks , Gu-Yeon Wei

Fine-tuning large language models (LLMs) using low-rank adaptation (LoRA) has become a highly efficient approach for downstream tasks, particularly in scenarios with limited computational resources. However, applying LoRA techniques to…

Machine Learning · Computer Science 2025-08-15 Yanxia Deng , Aozhong Zhang , Selcuk Gurses , Naigang Wang , Zi Yang , Penghang Yin

We present a new angle on solving quantified linear integer arithmetic based on combining the automata-based approach, where numbers are understood as bitvectors, with ideas from (nowadays prevalent) algebraic approaches, which work…

Logic in Computer Science · Computer Science 2024-05-21 Peter Habermehl , Vojtěch Havlena , Michal Hečko , Lukáš Holík , Ondřej Lengál

Quantizing large language models has become a standard way to reduce their memory and computational costs. Typically, existing methods focus on breaking down the problem into individual layer-wise sub-problems, and minimizing per-layer…

Machine Learning · Computer Science 2024-11-27 Vladimir Malinovskii , Andrei Panferov , Ivan Ilin , Han Guo , Peter Richtárik , Dan Alistarh

Vision-Language Models (VLMs) such as CLIP have revolutionized zero-shot classification and safety-critical tasks, including Out-of-Distribution (OOD) detection. However, their high computational cost hinders efficient real-world…

Computer Vision and Pattern Recognition · Computer Science 2026-05-18 Aymen Bouguerra , Daniel Montoya , Alexandra Gomez-Villa , Chokri Mraidha , Fabio Arnez

Background: Large language models (LLMs) have greatly improved the accuracy of automated program repair (APR) methods. However, LLMs are constrained by high computational resource requirements. Aims: We focus on small language models…

Software Engineering · Computer Science 2025-08-25 Kazuki Kusama , Honglin Shu , Masanari Kondo , Yasutaka Kamei

Deploying Large Language Models (LLMs) on resource-constrained edge devices like the Raspberry Pi presents challenges in computational efficiency, power consumption, and response latency. This paper explores quantization-based optimization…

Machine Learning · Computer Science 2025-04-04 Mahsa Ardakani , Jinendra Malekar , Ramtin Zand

Quantization effectively reduces the serving costs of Large Language Models (LLMs) by speeding up data movement through compressed parameters and enabling faster operations via integer arithmetic. However, activating integer arithmetic…

Machine Learning · Computer Science 2025-06-04 Patrik Czakó , Gábor Kertész , Sándor Szénási

Prior work has combined chain-of-thought prompting in large language models (LLMs) with programmatic representations to perform effective and transparent reasoning. While such an approach works well for tasks that only require forward…

Computation and Language · Computer Science 2023-10-13 Xi Ye , Qiaochu Chen , Isil Dillig , Greg Durrett

This paper investigates the problem of quantized matrix multiplication (MatMul), which has become crucial for the efficient deployment of large language models (LLMs). We consider a Generic MatMul setting, where both matrices must be…

Information Theory · Computer Science 2026-05-14 Or Ordentlich , Yury Polyanskiy

This paper describes and tests a method for carrying out quantified reproducibility assessment (QRA) that is based on concepts and definitions from metrology. QRA produces a single score estimating the degree of reproducibility of a given…

Computation and Language · Computer Science 2022-04-13 Anya Belz , Maja Popović , Simon Mille

Term algebras are important objects in computer science and are correspondingly well-studied. A natural generalization is to quotient these algebras by finitely many ground term equations, obtaining what we call almost free algebras. One of…

Logic · Mathematics 2026-04-28 Yifan Jia , Heer Tern Koh , Bakh Khoussainov

Quantization is essential for deploying large audio language models (LALMs) efficiently in resource-constrained environments. However, its impact on complex tasks, such as zero-shot audio spoofing detection, remains underexplored. This…

Sound · Computer Science 2025-06-10 Bikash Dutta , Rishabh Ranjan , Shyam Sathvik , Mayank Vatsa , Richa Singh

Recently years have witnessed a rapid development of large language models (LLMs). Despite the strong ability in many language-understanding tasks, the heavy computational burden largely restricts the application of LLMs especially when one…

Machine Learning · Computer Science 2023-10-10 Yuhui Xu , Lingxi Xie , Xiaotao Gu , Xin Chen , Heng Chang , Hengheng Zhang , Zhengsu Chen , Xiaopeng Zhang , Qi Tian

Rank minimization (RM) is a wildly investigated task of finding solutions by exploiting low-rank structure of parameter matrices. Recently, solving RM problem by leveraging non-convex relaxations has received significant attention. It has…

Machine Learning · Computer Science 2018-09-17 Zaiyi Chen

We present a new algorithm for determining the satisfiability of conjunctions of non-linear polynomial constraints over the reals, which can be used as a theory solver for satisfiability modulo theory (SMT) solving for non-linear real…

Symbolic Computation · Computer Science 2021-06-17 Erika Ábrahám , James H. Davenport , Matthew England , Gereon Kremer

Test collections are information-retrieval tools that allow researchers to quickly and easily evaluate ranking algorithms. While test collections have become an integral part of IR research, the process of data creation involves significant…

Information Retrieval · Computer Science 2025-07-15 Rikiya Takehi , Ellen M. Voorhees , Tetsuya Sakai , Ian Soboroff
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