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State-space models (SSMs) have recently attention as an efficient alternative to computationally expensive attention-based models for sequence modeling. They rely on linear recurrences to integrate information over time, enabling fast…

Machine Learning · Computer Science 2026-01-01 Mahdi Karami , Ali Behrouz , Peilin Zhong , Razvan Pascanu , Vahab Mirrokni

We extend Neural Processes (NPs) to sequential data through Recurrent NPs or RNPs, a family of conditional state space models. RNPs model the state space with Neural Processes. Given time series observed on fast real-world time scales but…

Machine Learning · Computer Science 2019-11-07 Timon Willi , Jonathan Masci , Jürgen Schmidhuber , Christian Osendorfer

Structured state-space models (SSMs) such as S4, stemming from the seminal work of Gu et al., are gaining popularity as effective approaches for modeling sequential data. Deep SSMs demonstrate outstanding performance across a diverse set of…

Machine Learning · Computer Science 2025-01-07 Nicola Muca Cirone , Antonio Orvieto , Benjamin Walker , Cristopher Salvi , Terry Lyons

Computational efficiency has remained a critical consideration in scaling high-capacity language models, with inference latency and resource consumption presenting significant constraints on real-time applications. The study has introduced…

Computation and Language · Computer Science 2025-03-26 Michael Mangrum , Jonathan Pemberton , Benedict Wetherby , Philip Montague

The analysis of tabular data has traditionally been dominated by gradient-boosted decision trees (GBDTs), known for their proficiency with mixed categorical and numerical features. However, recent deep learning innovations are challenging…

Machine Learning · Computer Science 2025-03-26 Anton Frederik Thielmann , Manish Kumar , Christoph Weisser , Arik Reuter , Benjamin Säfken , Soheila Samiee

Recurrent neural networks are a widely used class of neural architectures. They have, however, two shortcomings. First, it is difficult to understand what exactly they learn. Second, they tend to work poorly on sequences requiring long-term…

Machine Learning · Computer Science 2019-05-08 Cheng Wang , Mathias Niepert

Recurrent neural networks (RNNs) have fast inference and scale efficiently on long sequences, but they are difficult to train and hard to scale. We propose Hawk, an RNN with gated linear recurrences, and Griffin, a hybrid model that mixes…

Graph Neural Networks based on the message-passing (MP) mechanism are a dominant approach for handling graph-structured data. However, they are inherently limited to modeling only pairwise interactions, making it difficult to explicitly…

Machine Learning · Computer Science 2024-09-19 Marco Montagna , Simone Scardapane , Lev Telyatnikov

Recently, the state space model Mamba has demonstrated efficient long-sequence modeling capabilities, particularly for addressing long-sequence visual tasks in 3D medical imaging. However, existing generative self-supervised learning…

Computer Vision and Pattern Recognition · Computer Science 2025-05-15 Fenghe Tang , Bingkun Nian , Yingtai Li , Zihang Jiang , Jie Yang , Wei Liu , S. Kevin Zhou

In many environmental applications, recurrent neural networks (RNNs) are often used to model physical variables with long temporal dependencies. However, due to mini-batch training, temporal relationships between training segments within…

Recently, recurrent models such as state space models and linear attention have become popular due to their linear complexity in the sequence length. Thanks to their recurrent nature, in principle they can process arbitrarily long…

Machine Learning · Computer Science 2025-10-14 Ricardo Buitrago Ruiz , Albert Gu

In this paper, we study novel neural network structures to better model long term dependency in sequential data. We propose to use more memory units to keep track of more preceding states in recurrent neural networks (RNNs), which are all…

Neural and Evolutionary Computing · Computer Science 2016-05-03 Rohollah Soltani , Hui Jiang

Countless learning tasks require dealing with sequential data. Image captioning, speech synthesis, and music generation all require that a model produce outputs that are sequences. In other domains, such as time series prediction, video…

Machine Learning · Computer Science 2015-10-20 Zachary C. Lipton , John Berkowitz , Charles Elkan

Transformer-based embedding models suffer from quadratic computational and linear memory complexity, limiting their utility for long sequences. We propose recurrent architectures as an efficient alternative, introducing a vertically chunked…

Computation and Language · Computer Science 2026-04-21 Tobias Grantner , Emanuel Sallinger , Martin Flechl

Sequential models like recurrent neural networks and transformers have become standard for probabilistic multivariate time series forecasting across various domains. Despite their strengths, they struggle with capturing high-dimensional…

Machine Learning · Computer Science 2024-10-07 Yu Chen , Marin Biloš , Sarthak Mittal , Wei Deng , Kashif Rasul , Anderson Schneider

Despite the advantageous subquadratic complexity of modern recurrent deep learning models -- such as state-space models (SSMs) -- recent studies have highlighted their potential shortcomings compared to transformers on reasoning and…

Machine Learning · Computer Science 2025-10-13 Destiny Okpekpe , Antonio Orvieto

While the Mamba architecture demonstrates superior inference efficiency and competitive performance on short-context natural language processing (NLP) tasks, empirical evidence suggests its capacity to comprehend long contexts is limited…

Computation and Language · Computer Science 2025-01-03 Danlong Yuan , Jiahao Liu , Bei Li , Huishuai Zhang , Jingang Wang , Xunliang Cai , Dongyan Zhao

Sequence modeling is currently dominated by causal transformer architectures that use softmax self-attention. Although widely adopted, transformers require scaling memory and compute linearly during inference. A recent stream of work…

Recurrent Neural Networks (RNNs) offer fast inference on long sequences but are hard to optimize and slow to train. Deep state-space models (SSMs) have recently been shown to perform remarkably well on long sequence modeling tasks, and have…

Machine Learning · Computer Science 2023-03-14 Antonio Orvieto , Samuel L Smith , Albert Gu , Anushan Fernando , Caglar Gulcehre , Razvan Pascanu , Soham De

State Space Models (SSMs) have recently enjoyed a rise to prominence in the field of deep learning for sequence modeling, especially as an alternative to Transformers. Their success stems from avoiding two well-known drawbacks of…

Machine Learning · Computer Science 2025-01-22 Stefano Rando , Luca Romani , Matteo Migliarini , Luca Franco , Denis Gudovskiy , Fabio Galasso