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The implicit Euler method integrates systems of ordinary differential equations $$\frac{d x}{d t}=G(t,x(t))$$ with differentiable right-hand side $G : {\mathbb R} \times {\mathbb R}^n \rightarrow {\mathbb R}^n$ from an initial state $x=x(0)…

Numerical Analysis · Mathematics 2024-09-19 Uwe Naumann

Taylor series methods show a newfound promise for the solution of non-stiff ordinary differential equations (ODEs) given the rise of new compiler-enhanced techniques for calculating high order derivatives. In this paper we detail a new…

Numerical Analysis · Mathematics 2026-02-20 Songchen Tan , Oscar Smith , Christopher Rackauckas

Transformer-based NLP models are powerful but have high computational costs that limit deployment. Finetuned encoder-decoder models are popular in specialized domains and can outperform larger more generalized decoder-only models, such as…

Computation and Language · Computer Science 2024-11-19 Bo-Ru Lu , Nikita Haduong , Chien-Yu Lin , Hao Cheng , Noah A. Smith , Mari Ostendorf

Efficient deployment of deep neural networks on resource-constrained devices demands advanced compression techniques that preserve accuracy and interoperability. This paper proposes a machine learning framework that augments Knowledge…

Machine Learning · Computer Science 2025-03-18 David E. Hernandez , Jose Ramon Chang , Torbjörn E. M. Nordling

Vision Transformer (ViT) architectures are becoming increasingly popular and widely employed to tackle computer vision applications. Their main feature is the capacity to extract global information through the self-attention mechanism,…

Computer Vision and Pattern Recognition · Computer Science 2024-05-06 Lorenzo Papa , Paolo Russo , Irene Amerini , Luping Zhou

Vision Transformers (ViTs) have demonstrated outstanding performance in computer vision tasks, yet their high computational complexity prevents their deployment in computing resource-constrained environments. Various token pruning…

Computer Vision and Pattern Recognition · Computer Science 2023-11-07 Xuwei Xu , Changlin Li , Yudong Chen , Xiaojun Chang , Jiajun Liu , Sen Wang

Fast and accurate solution of time-dependent partial differential equations (PDEs) is of key interest in many research fields including physics, engineering, and biology. Generally, implicit schemes are preferred over the explicit ones for…

Numerical Analysis · Mathematics 2019-11-28 Suprosanna Shit , Abinav Ravi Venkatakrishnan , Ivan Ezhov , Jana Lipkova , Marie Piraud , Bjoern Menze

Transformer-based end-to-end speech recognition has achieved great success. However, the large footprint and computational overhead make it difficult to deploy these models in some real-world applications. Model compression techniques can…

Computation and Language · Computer Science 2023-03-15 Yifan Peng , Jaesong Lee , Shinji Watanabe

Large Transformer models have achieved state-of-the-art results in neural machine translation and have become standard in the field. In this work, we look for the optimal combination of known techniques to optimize inference speed without…

Computation and Language · Computer Science 2020-10-08 Yi-Te Hsu , Sarthak Garg , Yi-Hsiu Liao , Ilya Chatsviorkin

Recently, various intermediate layer distillation (ILD) objectives have been shown to improve compression of BERT models via Knowledge Distillation (KD). However, a comprehensive evaluation of the objectives in both task-specific and…

Computation and Language · Computer Science 2023-05-25 Xinpeng Wang , Leonie Weissweiler , Hinrich Schütze , Barbara Plank

The impressive performance of transformer models has sparked the deployment of intelligent applications on resource-constrained edge devices. However, ensuring high-quality service for real-time edge systems is a significant challenge due…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-29 Guanyu Xu , Zhiwei Hao , Li Shen , Yong Luo , Fuhui Sun , Xiaoyan Wang , Han Hu , Yonggang Wen

Deep learning-based image enhancement methods face a fundamental trade-off between computational efficiency and representational capacity. For example, although a conventional three-dimensional Look-Up Table (3D LUT) can process a degraded…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Liubing Hu , Chen Wu , Anrui Wang , Dianjie Lu , Guijuan Zhang , Zhuoran Zheng

Transformer-based language models utilize the attention mechanism for substantial performance improvements in almost all natural language processing (NLP) tasks. Similar attention structures are also extensively studied in several other…

Computation and Language · Computer Science 2023-05-17 Nurullah Sevim , Ege Ozan Özyedek , Furkan Şahinuç , Aykut Koç

Viewing optimization methods as numerical integrators for ordinary differential equations (ODEs) provides a thought-provoking modern framework for studying accelerated first-order optimizers. In this literature, acceleration is often…

Optimization and Control · Mathematics 2021-02-24 Peiyuan Zhang , Antonio Orvieto , Hadi Daneshmand , Thomas Hofmann , Roy Smith

Large-scale fine-grained image retrieval (FGIR) aims to retrieve images belonging to the same subcategory as a given query by capturing subtle differences in a large-scale setting. Recently, Vision Transformers (ViT) have been employed in…

Multimedia · Computer Science 2025-04-24 Xin Jiang , Hao Tang , Yonghua Pan , Zechao Li

Real life signals are in general non--stationary and non--linear. The development of methods able to extract their hidden features in a fast and reliable way is of high importance in many research fields. In this work we tackle the problem…

Numerical Analysis · Mathematics 2018-10-26 Antonio Cicone , Haomin Zhou

Chain-of-Thought (CoT) prompting substantially improves the sample efficiency of transformers, reducing the complexity of tasks like parity learning from exponential to polynomial in the input length. However, generating explicit reasoning…

Machine Learning · Computer Science 2026-05-28 Yixiao Huang , Hanlin Zhu , Zixuan Wang , Jiantao Jiao , Stuart Russell , Somayeh Sojoudi , Song Mei

Fourier transform methods are used to analyze functions and data sets to provide frequencies, amplitudes, and phases of underlying oscillatory components. Fast Fourier transform (FFT) methods offer speed advantages over evaluation of…

Data Analysis, Statistics and Probability · Physics 2015-07-08 Elya Courtney , Michael Courtney

Transformer models are permutation equivariant. To supply the order and type information of the input tokens, position and segment embeddings are usually added to the input. Recent works proposed variations of positional encodings with…

Computation and Language · Computer Science 2021-11-04 Pu-Chin Chen , Henry Tsai , Srinadh Bhojanapalli , Hyung Won Chung , Yin-Wen Chang , Chun-Sung Ferng

Inference models are a key component in scaling variational inference to deep latent variable models, most notably as encoder networks in variational auto-encoders (VAEs). By replacing conventional optimization-based inference with a…

Machine Learning · Computer Science 2018-07-26 Joseph Marino , Yisong Yue , Stephan Mandt