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Bayesian statistical inference loses predictive optimality when generative models are misspecified. Working within an existing coherent loss-based generalisation of Bayesian inference, we show existing Modular/Cut-model inference is…

Methodology · Statistics 2026-05-18 Chris U. Carmona , Geoff K. Nicholls

Selective state-space models (SSMs) are an emerging alternative to the Transformer, offering the unique advantage of parallel training and sequential inference. Although these models have shown promising performance on a variety of tasks,…

Machine Learning · Computer Science 2025-07-08 Aleksandar Terzić , Michael Hersche , Giacomo Camposampiero , Thomas Hofmann , Abu Sebastian , Abbas Rahimi

This paper studies sequence modeling for prediction tasks with long range dependencies. We propose a new formulation for state space models (SSMs) based on learning linear dynamical systems with the spectral filtering algorithm (Hazan et…

Machine Learning · Computer Science 2024-07-12 Naman Agarwal , Daniel Suo , Xinyi Chen , Elad Hazan

Simulation-based inference (SBI) enables parameter inference by training neural networks on forward simulations. It is being applied both for intractable likelihoods as well as under time constraints on the posterior sampling. After…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-12 Leander Thiele

State space models (SSMs) have emerged as a powerful framework for modelling long-range dependencies in sequence data. Unlike traditional recurrent neural networks (RNNs) and convolutional neural networks (CNNs), SSMs offer a structured and…

Machine Learning · Computer Science 2024-10-07 Siddhanth Bhat

A major challenge in sample-based inference (SBI) for Bayesian neural networks is the size and structure of the networks' parameter space. Our work shows that successful SBI is possible by embracing the characteristic relationship between…

Machine Learning · Computer Science 2024-05-29 Emanuel Sommer , Lisa Wimmer , Theodore Papamarkou , Ludwig Bothmann , Bernd Bischl , David Rügamer

Sequence models have demonstrated the ability to perform tasks like channel equalization and symbol detection by automatically adapting to current channel conditions. This is done without requiring any explicit optimization and by…

Signal Processing · Electrical Eng. & Systems 2024-11-01 Zihang Song , Matteo Zecchin , Bipin Rajendran , Osvaldo Simeone

Foundation models are typically trained at a fixed computational capacity, while real-world applications require deployment across platforms with different resource constraints. Current approaches usually rely on training families of model…

Machine Learning · Computer Science 2026-02-10 Dachuan Song , Xuan Wang

Efficient state space models (SSMs), such as linear recurrent neural networks and linear attention variants, offer computational advantages over Transformers but struggle with tasks requiring long-range in-context retrieval-like text…

Computation and Language · Computer Science 2025-02-25 Sam Blouir , Jimmy T. H. Smith , Antonios Anastasopoulos , Amarda Shehu

Neural networks are powered by an implicit bias: a tendency of gradient descent to fit training data in a way that generalizes to unseen data. A recent class of neural network models gaining increasing popularity is structured state space…

Machine Learning · Computer Science 2025-12-16 Yonatan Slutzky , Yotam Alexander , Noam Razin , Nadav Cohen

Conventional deep learning prioritizes unconstrained optimization, yet biological systems operate under strict metabolic constraints. We propose that these physical constraints shape dynamics to function not as limitations, but as a…

Machine Learning · Computer Science 2026-01-23 Xia Chen

A central goal of sequence modeling is designing a single principled model that can address sequence data across a range of modalities and tasks, particularly on long-range dependencies. Although conventional models including RNNs, CNNs,…

Machine Learning · Computer Science 2022-08-08 Albert Gu , Karan Goel , Christopher Ré

Emerging applications such as AR are driving demands for machine intelligence capable of processing continuous and/or long-context inputs on local devices. However, currently dominant models based on Transformer architecture suffers from…

Hardware Architecture · Computer Science 2026-03-24 Saptarshi Mitra , Rachid Karami , Haocheng Xu , Sitao Huang , Hyoukjun Kwon

The growing availability of large and complex datasets has increased interest in temporal stochastic processes that can capture stylized facts such as marginal skewness, non-Gaussian tails, long memory, and even non-Markovian dynamics.…

Machine Learning · Statistics 2025-10-09 Dan Leonte , Raphaël Huser , Almut E. D. Veraart

State Space Models (SSMs) have emerged as a promising alternative to the popular transformer-based models and have been increasingly gaining attention. Compared to transformers, SSMs excel at tasks with sequential data or longer contexts,…

Machine Learning · Computer Science 2025-03-17 Xingtai Lv , Youbang Sun , Kaiyan Zhang , Shang Qu , Xuekai Zhu , Yuchen Fan , Yi Wu , Ermo Hua , Xinwei Long , Ning Ding , Bowen Zhou

Despite the promising performance of state space models (SSMs) in long sequence modeling, limitations still exist. Advanced SSMs like S5 and S6 (Mamba) in addressing non-uniform sampling, their recursive structures impede efficient SSM…

Machine Learning · Computer Science 2024-06-11 Biqing Qi , Junqi Gao , Kaiyan Zhang , Dong Li , Jianxing Liu , Ligang Wu , Bowen Zhou

State space models (SSMs) have recently emerged as a powerful framework for long sequence processing, outperforming traditional methods on diverse benchmarks. Fundamentally, SSMs can generalize both recurrent and convolutional networks and…

Signal Processing · Electrical Eng. & Systems 2025-12-24 Xiaoyu Zhang , Mingtao Hu , Sen Lu , Soohyeon Kim , Eric Yeu-Jer Lee , Yuyang Liu , Wei D. Lu

State-of-the-art machine-learning-based models are a popular choice for modeling and forecasting energy behavior in buildings because given enough data, they are good at finding spatiotemporal patterns and structures even in scenarios where…

Machine Learning · Computer Science 2023-05-03 Zack Xuereb Conti , Ruchi Choudhary , Luca Magri

In recent years, advancements in deep learning have spurred the development of numerous models for Long-term Time Series Forecasting (LTSF). However, most existing approaches struggle to fully capture the complex and structured dependencies…

Machine Learning · Computer Science 2025-06-04 Zixuan Weng , Jindong Han , Wenzhao Jiang , Hao Liu

Spiking neural networks (SNNs) take inspiration from the brain to enable energy-efficient computations. Since the advent of Transformers, SNNs have struggled to compete with artificial networks on modern sequential tasks, as they inherit…

Neural and Evolutionary Computing · Computer Science 2024-01-03 Matei Ioan Stan , Oliver Rhodes