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This research investigates using a mixed-precision iterative refinement method using posit numbers instead of the standard IEEE floating-point format. The method is applied to solve a general linear system represented by the equation $Ax =…

Numerical Analysis · Mathematics 2024-08-28 James Quinlan , E. Theodore L. Omtzigt

In order to reduce the computational complexity of large language models, great efforts have been made to to improve the efficiency of transformer models such as linear attention and flash-attention. However, the model size and…

Computation and Language · Computer Science 2026-02-04 Ning Ding , Yehui Tang , Haochen Qin , Zhenli Zhou , Chao Xu , Lin Li , Kai Han , Heng Liao , Yunhe Wang

The study of mixture models constitutes a large domain of research in statistics. In the first part of this work, we present phi-divergences and the existing methods which produce robust estimators. We are more particularly interested in…

Methodology · Statistics 2016-11-28 Diaa Al Mohamad

Given a combinatorial decomposition for a counting problem, we resort to the simple scheme of approximating large numbers by floating-point representations in order to obtain efficient Fully Polynomial Time Approximation Schemes (FPTASes)…

Data Structures and Algorithms · Computer Science 2013-11-19 Romeo Rizzi , Alexandru I. Tomescu

The emergence of large-scale Mixture of Experts (MoE) models represents a significant advancement in artificial intelligence, offering enhanced model capacity and computational efficiency through conditional computation. However, deploying…

Machine Learning · Computer Science 2025-01-23 Jiacheng Liu , Peng Tang , Wenfeng Wang , Yuhang Ren , Xiaofeng Hou , Pheng-Ann Heng , Minyi Guo , Chao Li

Recent studies have shown the importance of modeling long-range interactions in the inpainting problem. To achieve this goal, existing approaches exploit either standalone attention techniques or transformers, but usually under a low…

Computer Vision and Pattern Recognition · Computer Science 2022-06-28 Wenbo Li , Zhe Lin , Kun Zhou , Lu Qi , Yi Wang , Jiaya Jia

Adjusting the latency, power, and accuracy of natural language understanding models is a desirable objective of an efficient architecture. This paper proposes an efficient Transformer architecture that adjusts the inference computational…

Computation and Language · Computer Science 2024-09-20 Sajjad Kachuee , Mohammad Sharifkhani

Large language models can solve tasks that were not present in the training set. This capability is believed to be due to in-context learning and skill composition. In this work, we study the emergence of in-context learning and skill…

Machine Learning · Computer Science 2024-11-05 Tianyu He , Darshil Doshi , Aritra Das , Andrey Gromov

Retrieval-augmented language models (LMs) have received much attention recently. However, typically the retriever is not trained jointly as a native component of the LM, but added post-hoc to an already-pretrained LM, which limits the…

Computation and Language · Computer Science 2024-07-23 Ohad Rubin , Jonathan Berant

Scientific computing programs often undergo aggressive compiler optimization to achieve high performance and efficient resource utilization. While performance is critical, we also need to ensure that these optimizations are correct. In this…

Programming Languages · Computer Science 2025-09-12 Mohit Tekriwal , John Sarracino

Compression of floating-point data will play an important role in high-performance computing as data bandwidth and storage become dominant costs. Lossy compression of floating-point data is powerful, but theoretical results are needed to…

Numerical Analysis · Mathematics 2024-07-03 James Diffenderfer , Alyson Fox , Jeffrey Hittinger , Geoffrey Sanders , Peter Lindstrom

This paper presents a scalable method for integrating compositional morphological representations into a vector-based probabilistic language model. Our approach is evaluated in the context of log-bilinear language models, rendered suitably…

Computation and Language · Computer Science 2014-05-19 Jan A. Botha , Phil Blunsom

Efficient inference is a critical challenge in deep generative modeling, particularly as diffusion models grow in capacity and complexity. While increased complexity often improves accuracy, it raises compute costs, latency, and memory…

Machine Learning · Computer Science 2025-09-24 Siu Hang Ho , Prasad Ganesan , Nguyen Duong , Daniel Schlabig

This study investigates a hybrid method for text classification that integrates deep feature extraction from large language models, multi-scale fusion through feature pyramids, and structured modeling with graph neural networks to enhance…

Computation and Language · Computer Science 2025-11-11 Xiangchen Song , Yulin Huang , Jinxu Guo , Yuchen Liu , Yaxuan Luan

Ensuring factuality is essential for the safe use of Large Language Models (LLMs) in high-stakes domains such as medicine and law. Conformal inference provides distribution-free guarantees, but existing approaches are either overly…

Machine Learning · Computer Science 2026-02-03 Kangjun Noh , Seongchan Lee , Ilmun Kim , Kyungwoo Song

Graph analytics techniques based on spectral methods process extremely large sparse matrices with millions or even billions of non-zero values. Behind these algorithms lies the Top-K sparse eigenproblem, the computation of the largest…

Hardware Architecture · Computer Science 2022-01-20 Francesco Sgherzi , Alberto Parravicini , Marco Domenico Santambrogio

Large language models (LLMs) with enormous pre-training tokens and parameters emerge diverse abilities, including math reasoning, code generation, and instruction following. These abilities are further enhanced by supervised fine-tuning…

Computation and Language · Computer Science 2024-06-10 Guanting Dong , Hongyi Yuan , Keming Lu , Chengpeng Li , Mingfeng Xue , Dayiheng Liu , Wei Wang , Zheng Yuan , Chang Zhou , Jingren Zhou

Performative prediction is a framework that captures distribution shifts that occur during the training of machine learning models due to their deployment. As the trained model is used, data generation causes the model to evolve, leading to…

Machine Learning · Computer Science 2025-11-10 Xue Zheng , Tian Xie , Xuwei Tan , Aylin Yener , Xueru Zhang

Response-free item difficulty modelling promises to reduce reliance on response-based calibration but is intrinsically difficult on reading-comprehension multiple-choice items, where difficulty depends on inferential demands across wording…

Computation and Language · Computer Science 2026-05-19 Jan Netík , Patrícia Martinková

In-context learning of GPT-like models has been recognized as fragile across different hand-crafted templates, and demonstration permutations. In this work, we propose prototypical calibration to adaptively learn a more robust decision…

Computation and Language · Computer Science 2022-10-06 Zhixiong Han , Yaru Hao , Li Dong , Yutao Sun , Furu Wei