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Being the most classical generative model for serial data, state-space models (SSM) are fundamental in AI and statistical machine learning. In SSM, any form of parameter learning or latent state inference typically involves the computation…

Machine Learning · Statistics 2024-07-04 Alessandro Mastrototaro , Jimmy Olsson

State-space models (SSMs) are a highly expressive model class for learning patterns in time series data and for system identification. Deterministic versions of SSMs (e.g. LSTMs) proved extremely successful in modeling complex time series…

State-space models (SSMs) offer a powerful framework for dynamical system analysis, wherein the temporal dynamics of the system are assumed to be captured through the evolution of the latent states, which govern the values of the…

Machine Learning · Statistics 2024-12-17 Jiahe Lin , George Michailidis

State space models (SSM) have been widely applied for the analysis and visualization of large sequential datasets. Sequential Monte Carlo (SMC) is a very popular particle-based method to sample latent states from intractable posteriors.…

Machine Learning · Computer Science 2019-01-07 Duo Xu

We present doubly stochastic gradient MCMC, a simple and generic method for (approximate) Bayesian inference of deep generative models (DGMs) in a collapsed continuous parameter space. At each MCMC sampling step, the algorithm randomly…

Machine Learning · Computer Science 2016-03-08 Chao Du , Jun Zhu , Bo Zhang

Switching state-space models (SSSM) are a very popular class of time series models that have found many applications in statistics, econometrics and advanced signal processing. Bayesian inference for these models typically relies on Markov…

Computation · Statistics 2010-11-11 Nick Whiteley , Christophe Andrieu , Arnaud Doucet

State-space models (SSMs) are a class of networks for sequence learning that benefit from fixed state size and linear complexity with respect to sequence length, contrasting the quadratic scaling of typical attention mechanisms. Inspired…

Machine Learning · Computer Science 2025-10-02 Jared Boyer , T. Konstantin Rusch , Daniela Rus

Statistical shape modeling (SSM) is an enabling quantitative tool to study anatomical shapes in various medical applications. However, directly using 3D images in these applications still has a long way to go. Recent deep learning methods…

Computer Vision and Pattern Recognition · Computer Science 2023-10-04 Abu Zahid Bin Aziz , Jadie Adams , Shireen Elhabian

Probabilistic (or Bayesian) modeling and learning offers interesting possibilities for systematic representation of uncertainty using probability theory. However, probabilistic learning often leads to computationally challenging problems.…

Computation · Statistics 2018-03-14 Andreas Svensson , Thomas B. Schön , Fredrik Lindsten

Deep state-space models (DSSMs) enable temporal predictions by learning the underlying dynamics of observed sequence data. They are often trained by maximising the evidence lower bound. However, as we show, this does not ensure the model…

Machine Learning · Computer Science 2026-02-27 Alexej Klushyn , Richard Kurle , Maximilian Soelch , Botond Cseke , Patrick van der Smagt

We present a selective sampling method designed to accelerate the training of deep neural networks. To this end, we introduce a novel measurement, the minimal margin score (MMS), which measures the minimal amount of displacement an input…

Machine Learning · Computer Science 2019-11-19 Berry Weinstein , Shai Fine , Yacov Hel-Or

Deep state-space models (DSSMs) have gained popularity in recent years due to their potent modeling capacity for dynamic systems. However, existing DSSM works are limited to single-task modeling, which requires retraining with historical…

Machine Learning · Computer Science 2024-07-02 Yuanhang Zhang , Zhidi Lin , Yiyong Sun , Feng Yin , Carsten Fritsche

State space models (SSMs) are a flexible approach to modeling complex time series. However, inference in SSMs is often computationally prohibitive for long time series. Stochastic gradient MCMC (SGMCMC) is a popular method for scalable…

Machine Learning · Statistics 2019-07-11 Christopher Aicher , Yi-An Ma , Nicholas J. Foti , Emily B. Fox

Sequential Monte Carlo (SMC) methods are a widely used set of computational tools for inference in non-linear non-Gaussian state-space models. We propose a new SMC algorithm to compute the expectation of additive functionals recursively.…

Methodology · Statistics 2010-12-27 Pierre Del Moral , Arnaud Doucet , Sumeetpal Singh

We consider the problem of high-dimensional filtering of state-space models (SSMs) at discrete times. This problem is particularly challenging as analytical solutions are typically not available and many numerical approximation methods can…

Computation · Statistics 2022-01-13 Hamza Ruzayqat , Aimad Er-Raiy , Alexandros Beskos , Dan Crisan , Ajay Jasra , Nikolas Kantas

Effectively modeling long spatiotemporal sequences is challenging due to the need to model complex spatial correlations and long-range temporal dependencies simultaneously. ConvLSTMs attempt to address this by updating tensor-valued states…

Machine Learning · Computer Science 2023-10-31 Jimmy T. H. Smith , Shalini De Mello , Jan Kautz , Scott W. Linderman , Wonmin Byeon

Long Short-Term Memory (LSTM) is one of the most powerful sequence models. Despite the strong performance, however, it lacks the nice interpretability as in state space models. In this paper, we present a way to combine the best of both…

Machine Learning · Computer Science 2017-12-04 Xun Zheng , Manzil Zaheer , Amr Ahmed , Yuan Wang , Eric P Xing , Alexander J Smola

State space models (SSMs) provide a flexible framework for modeling complex time series via a latent stochastic process. Inference for nonlinear, non-Gaussian SSMs is often tackled with particle methods that do not scale well to long time…

Machine Learning · Statistics 2023-07-18 Christopher Aicher , Srshti Putcha , Christopher Nemeth , Paul Fearnhead , Emily B. Fox

We develop an approach for Bayesian learning of spatiotemporal dynamical mechanistic models. Such learning consists of statistical emulation of the mechanistic system that can efficiently interpolate the output of the system from arbitrary…

Methodology · Statistics 2025-07-11 Sudipto Banerjee , Xiang Chen , Ian Frankenburg , Daniel Zhou

Disentangled representations support a range of downstream tasks including causal reasoning, generative modeling, and fair machine learning. Unfortunately, disentanglement has been shown to be impossible without the incorporation of…

Computer Vision and Pattern Recognition · Computer Science 2021-12-16 Matthew J. Vowels , Necati Cihan Camgoz , Richard Bowden
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