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We present Neural Stochastic Contraction Metrics (NSCM), a new design framework for provably-stable robust control and estimation for a class of stochastic nonlinear systems. It uses a spectrally-normalized deep neural network to construct…

Machine Learning · Computer Science 2021-01-05 Hiroyasu Tsukamoto , Soon-Jo Chung , Jean-Jacques E. Slotine

Long-range dependencies are critical for understanding genomic structure and function, yet most conventional methods struggle with them. Widely adopted transformer-based models, while excelling at short-context tasks, are limited by the…

Brain-inspired Spiking Neural Networks (SNNs) have the characteristics of event-driven and high energy-efficient, which are different from traditional Artificial Neural Networks (ANNs) when deployed on edge devices such as neuromorphic…

Computer Vision and Pattern Recognition · Computer Science 2023-08-10 Jue Chen , Huan Yuan , Jianchao Tan , Bin Chen , Chengru Song , Di Zhang

Real-time predictive modelling with desired accuracy is highly expected in industrial artificial intelligence (IAI), where neural networks play a key role. Neural networks in IAI require powerful, high-performance computing devices to…

Machine Learning · Computer Science 2023-10-10 Dianhui Wang , Matthew J. Felicetti

Machine learning on graphs has recently found extensive applications across domains. However, the commonly used Message Passing Neural Networks (MPNNs) suffer from limited expressive power and struggle to capture long-range dependencies.…

Machine Learning · Computer Science 2024-10-07 Yinan Huang , Siqi Miao , Pan Li

Implicit models are a general class of learning models that forgo the hierarchical layer structure typical in neural networks and instead define the internal states based on an ``equilibrium'' equation, offering competitive performance and…

Machine Learning · Computer Science 2022-09-21 Alicia Y. Tsai , Juliette Decugis , Laurent El Ghaoui , Alper Atamtürk

Storing knowledge of an agent's environment in the form of a probabilistic generative model has been established as a crucial ingredient in a multitude of cognitive tasks. Perception has been formalised as probabilistic inference over the…

Neurons and Cognition · Quantitative Biology 2018-06-22 David G. Nagy , Balázs Török , Gergő Orbán

Structured state space models (SSMs), the core engine behind prominent neural networks such as S4 and Mamba, are linear dynamical systems adhering to a specified structure, most notably diagonal. In contrast to typical neural network…

Machine Learning · Computer Science 2024-11-01 Yuval Ran-Milo , Eden Lumbroso , Edo Cohen-Karlik , Raja Giryes , Amir Globerson , Nadav Cohen

State Space Models (SSMs) have emerged as a promising alternative to Transformers for long-context sequence modeling, offering linear $O(N)$ computational complexity compared to the Transformer's quadratic $O(N^2)$ scaling. This paper…

Machine Learning · Computer Science 2026-01-06 Abidemi Koledoye , Chinemerem Unachukwu , Gold Nwobu , Hasin Rana

State Space Models (SSMs) have emerged as an appealing alternative to Transformers for large language models, achieving state-of-the-art accuracy with constant memory complexity which allows for holding longer context lengths than…

Machine Learning · Computer Science 2024-12-10 Hung-Yueh Chiang , Chi-Chih Chang , Natalia Frumkin , Kai-Chiang Wu , Diana Marculescu

Deep sequence models, ranging from Transformers and State Space Models (SSMs) to more recent approaches such as gated linear RNNs, fundamentally compute outputs as linear combinations of past value vectors. To draw insights and…

Machine Learning · Computer Science 2026-04-14 Jerome Sieber , Antonio Orvieto , Melanie N. Zeilinger , Carmen Amo Alonso

State space models (SSMs) are a powerful and widely-used class of probabilistic models for analysing time-series data across various fields, from econometrics to robotics. Despite their prevalence, existing software frameworks for SSMs…

Computation · Statistics 2025-05-30 Tim Hargreaves , Qing Li , Charles Knipp , Frederic Wantiez , Simon J. Godsill , Hong Ge

With the explosive growth of data, long-sequence modeling has become increasingly important in tasks such as natural language processing and bioinformatics. However, existing methods face inherent trade-offs between efficiency and memory.…

Machine Learning · Computer Science 2025-10-07 Youjin Wang , Yangjingyi Chen , Jiahao Yan , Jiaxuan Lu , Xiao Sun

Traffic forecasting in cellular networks is a challenging spatiotemporal prediction problem due to strong temporal dependencies, spatial heterogeneity across cells, and the need for scalability to large network deployments. Traditional…

Machine Learning · Computer Science 2026-03-16 Zineddine Bettouche , Khalid Ali , Andreas Fischer , Andreas Kassler

State Space Models (SSMs) have emerged as a potent tool in sequence modeling tasks in recent years. These models approximate continuous systems using a set of basis functions and discretize them to handle input data, making them well-suited…

Machine Learning · Computer Science 2024-07-16 Jiaxi Hu , Disen Lan , Ziyu Zhou , Qingsong Wen , Yuxuan Liang

Recurrent neural networks (RNNs) provide a powerful approach in neuroscience to infer latent dynamics in neural populations and to generate hypotheses about the neural computations underlying behavior. However, past work has focused on…

Machine Learning · Computer Science 2025-10-30 Elia Torre , Michele Viscione , Lucas Pompe , Benjamin F Grewe , Valerio Mante

This paper develops a memory-efficient approach for Sequential Pattern Mining (SPM), a fundamental topic in knowledge discovery that faces a well-known memory bottleneck for large data sets. Our methodology involves a novel hybrid trie data…

Databases · Computer Science 2024-07-30 Amin Hosseininasab , Willem-Jan van Hoeve , Andre A. Cire

Parameterized state space models in the form of recurrent networks are often used in machine learning to learn from data streams exhibiting temporal dependencies. To break the black box nature of such models it is important to understand…

Machine Learning · Computer Science 2020-02-18 Peter Tino

Sequence models based on linear state spaces (SSMs) have recently emerged as a promising choice of architecture for modeling long range dependencies across various modalities. However, they invariably rely on discretization of a continuous…

Machine Learning · Computer Science 2023-11-15 Ankit Gupta , Harsh Mehta , Jonathan Berant

In radial basis function neural network (RBFNN) based real-time learning tasks, forgetting mechanisms are widely used such that the neural network can keep its sensitivity to new data. However, with forgetting mechanisms, some useful…

Systems and Control · Electrical Eng. & Systems 2023-08-09 Yiming Fei , Jiangang Li , Yanan Li
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