Bidirectional Linear Recurrent Models for Sequence-Level Multisource Fusion

Fuente: arXiv
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Main Authors: Liu, Qisai, Jiang, Zhanhong, Waite, Joshua R., Liu, Chao, Balu, Aditya, Sarkar, Soumik
Format: Preprint
Published: 2025
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author Liu, Qisai
Jiang, Zhanhong
Waite, Joshua R.
Liu, Chao
Balu, Aditya
Sarkar, Soumik
author_facet Liu, Qisai
Jiang, Zhanhong
Waite, Joshua R.
Liu, Chao
Balu, Aditya
Sarkar, Soumik
contents Sequence modeling is a critical yet challenging task with wide-ranging applications, especially in time series forecasting for domains like weather prediction, temperature monitoring, and energy load forecasting. Transformers, with their attention mechanism, have emerged as state-of-the-art due to their efficient parallel training, but they suffer from quadratic time complexity, limiting their scalability for long sequences. In contrast, recurrent neural networks (RNNs) offer linear time complexity, spurring renewed interest in linear RNNs for more computationally efficient sequence modeling. In this work, we introduce BLUR (Bidirectional Linear Unit for Recurrent network), which uses forward and backward linear recurrent units (LRUs) to capture both past and future dependencies with high computational efficiency. BLUR maintains the linear time complexity of traditional RNNs, while enabling fast parallel training through LRUs. Furthermore, it offers provably stable training and strong approximation capabilities, making it highly effective for modeling long-term dependencies. Extensive experiments on sequential image and time series datasets reveal that BLUR not only surpasses transformers and traditional RNNs in accuracy but also significantly reduces computational costs, making it particularly suitable for real-world forecasting tasks. Our code is available here.
format Preprint
id arxiv_https___arxiv_org_abs_2504_08964
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Bidirectional Linear Recurrent Models for Sequence-Level Multisource Fusion
Liu, Qisai
Jiang, Zhanhong
Waite, Joshua R.
Liu, Chao
Balu, Aditya
Sarkar, Soumik
Machine Learning
Sequence modeling is a critical yet challenging task with wide-ranging applications, especially in time series forecasting for domains like weather prediction, temperature monitoring, and energy load forecasting. Transformers, with their attention mechanism, have emerged as state-of-the-art due to their efficient parallel training, but they suffer from quadratic time complexity, limiting their scalability for long sequences. In contrast, recurrent neural networks (RNNs) offer linear time complexity, spurring renewed interest in linear RNNs for more computationally efficient sequence modeling. In this work, we introduce BLUR (Bidirectional Linear Unit for Recurrent network), which uses forward and backward linear recurrent units (LRUs) to capture both past and future dependencies with high computational efficiency. BLUR maintains the linear time complexity of traditional RNNs, while enabling fast parallel training through LRUs. Furthermore, it offers provably stable training and strong approximation capabilities, making it highly effective for modeling long-term dependencies. Extensive experiments on sequential image and time series datasets reveal that BLUR not only surpasses transformers and traditional RNNs in accuracy but also significantly reduces computational costs, making it particularly suitable for real-world forecasting tasks. Our code is available here.
title Bidirectional Linear Recurrent Models for Sequence-Level Multisource Fusion
topic Machine Learning
url https://arxiv.org/abs/2504.08964