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Convolution models with long filters have demonstrated state-of-the-art reasoning abilities in many long-sequence tasks but lag behind the most optimized Transformers in wall-clock time. A major bottleneck is the Fast Fourier Transform…

Machine Learning · Computer Science 2023-11-13 Daniel Y. Fu , Hermann Kumbong , Eric Nguyen , Christopher Ré

Large Language Models (LLMs) face significant challenges in long-context processing, including quadratic computational costs, information forgetting, and the context fragmentation inherent in retrieval-augmented generation (RAG). We propose…

Computation and Language · Computer Science 2026-02-10 Zhuoen Chen , Dongfang Li , Meishan Zhang , Baotian Hu , Min Zhang

Hybrid sequence models that combine efficient Transformer components with linear sequence modeling blocks are a promising alternative to pure Transformers, but most are still pretrained from scratch and therefore fail to reuse existing…

A recent trend in LLMs is developing recurrent sub-quadratic models that improve long-context processing efficiency. We investigate leading large long-context models, focusing on how their fixed-size recurrent memory affects their…

Machine Learning · Computer Science 2025-09-10 Assaf Ben-Kish , Itamar Zimerman , M. Jehanzeb Mirza , Lior Wolf , James Glass , Leonid Karlinsky , Raja Giryes

In long-context large language model (LLM) inference, the prefill stage dominates computation due to self-attention over the complete input context. Sparse attention significantly reduces self-attention computation by limiting each token's…

Hardware Architecture · Computer Science 2026-02-25 Rakshith Jayanth , Viktor Prasanna

Recent advances in attention-free sequence models rely on convolutions as alternatives to the attention operator at the core of Transformers. In particular, long convolution sequence models have achieved state-of-the-art performance in many…

Convolutional architectures have emerged as powerful alternatives to Transformers for sequence modeling. The primary advantage is that they offer improved theoretical sequence length complexity by leveraging the Fast Fourier Transform…

Machine Learning · Computer Science 2026-05-12 Linda Friso , Annie Marsden , Xinyi Chen , Arushi Gupta , Peter Bartlett , Mark Braverman , Elad Hazan

Convolutional neural networks have become an essential element of spatial deep learning systems. In the prevailing architecture, the convolution operation is performed with Fast Fourier Transforms (FFT) electronically in GPUs. The…

Emerging Technologies · Computer Science 2017-09-01 Jonathan George , Hani Nejadriahi , Volker Sorger

Implementing convolutional neural networks (CNNs) on field-programmable gate arrays (FPGAs) has emerged as a promising alternative to GPUs, offering lower latency, greater power efficiency and greater flexibility. However, this development…

Hardware Architecture · Computer Science 2025-10-21 Philippe Magalhães , Virginie Fresse , Benoît Suffran , Olivier Alata

Large Language Models (LLMs) with long context capabilities are integral to complex tasks in natural language processing and computational biology, such as text generation and protein sequence analysis. However, training LLMs directly on…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-14 Jinghan Yao , Sam Ade Jacobs , Masahiro Tanaka , Olatunji Ruwase , Hari Subramoni , Dhabaleswar K. Panda

TabPFN v2 achieves better results than tree-based models on several tabular benchmarks, which is notable since tree-based models are usually the strongest choice for tabular data. However, it cannot handle more than 10K context tokens…

Machine Learning · Computer Science 2025-09-18 Renat Sergazinov , Shao-An Yin

Convolutional networks are one of the most widely employed architectures in computer vision and machine learning. In order to leverage their ability to learn complex functions, large amounts of data are required for training. Training a…

Computer Vision and Pattern Recognition · Computer Science 2015-06-09 Michael Mathieu , Mikael Henaff , Yann LeCun

The quadratic computational complexity of standard attention mechanisms presents a severe scalability bottleneck for LLMs in long-context scenarios. While hybrid attention mechanisms combining Full Attention (FA) and Sparse Attention (SA)…

Machine Learning · Computer Science 2026-04-10 Quantong Qiu , Zhiyi Hong , Yi Yang , Haitian Wang , Kebin Liu , Qingqing Dang , Juntao Li , Min Zhang

The technologically-relevant task of feature extraction from data performed in deep-learning systems is routinely accomplished as repeated fast Fourier transforms (FFT) electronically in prevalent domain-specific architectures such as in…

While transformers have been at the core of most recent advancements in sequence generative models, their computational cost remains quadratic in sequence length. Several subquadratic architectures have been proposed to address this…

Machine Learning · Computer Science 2025-11-12 Costin-Andrei Oncescu , Sanket Purandare , Stratos Idreos , Sham Kakade

The quadratic complexity of self-attention in Transformers has hindered the processing of long text. To alleviate this problem, previous works have proposed to sparsify the attention matrix, taking advantage of the observation that crucial…

Computation and Language · Computer Science 2024-01-12 Ziwei He , Jian Yuan , Le Zhou , Jingwen Leng , Bo Jiang

Training and serving long-context large language models (LLMs) incurs substantial overhead. To address this, two critical steps are often required: a pretrained LLM typically undergoes a separate stage for context length extension by…

Computation and Language · Computer Science 2024-12-06 Suyu Ge , Xihui Lin , Yunan Zhang , Jiawei Han , Hao Peng

Empowering LLMs with the ability to precisely understand long contexts is crucial for many downstream applications. However, handling long contexts with conventional transformer architecture requires substantial training and inference…

Computation and Language · Computer Science 2024-12-24 Zhenyu Li , Yike Zhang , Tengyu Pan , Yutao Sun , Zhichao Duan , Junjie Fang , Rong Han , Zixuan Wang , Jianyong Wang

Convolutional neural networks (CNNs) with large kernels, drawing inspiration from the key operations of vision transformers (ViTs), have demonstrated impressive performance in various vision-based applications. To address the issue of…

Hardware Architecture · Computer Science 2024-02-23 Miaoxin Wang , Xiao Wu , Jun Lin , Zhongfeng Wang

Long context fine-tuning of large language models(LLMs) involves training on datasets that are predominantly composed of short sequences and a small proportion of longer sequences. However, existing approaches overlook this long-tail…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-14 Xiulong Yuan , Hongtao Xu , Wenting Shen , Ang Wang , Xiafei Qiu , Jie Zhang , Yuqiong Liu , Bowen Yu , Junyang Lin , Mingzhen Li , Weile Jia , Yong Li , Wei Lin
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