Linear prediction error methods for stochastic nonlinear models

MRH Abdalmoaty, H Hjalmarsson - Automatica, 2019 - Elsevier
The estimation problem for stochastic parametric nonlinear dynamical models is recognized
to be challenging. The main difficulty is the intractability of the likelihood function and the …

A pseudo-marginal sequential Monte Carlo online smoothing algorithm

P Gloaguen, S Le Corff, J Olsson - Bernoulli, 2022 - projecteuclid.org
A pseudo-marginal sequential Monte Carlo online smoothing algorithm Page 1 Bernoulli 28(4),
2022, 2606–2633 https://doi.org/10.3150/21-BEJ1431 A pseudo-marginal sequential Monte …

Online Identification of Stochastic Continuous-Time Wiener Models Using Sampled Data

M Abdalmoaty, EC Balta, J Lygeros… - 2024 European Control …, 2024 - ieeexplore.ieee.org
It is well known that ignoring the presence of stochastic disturbances in the identification of
stochastic Wiener models leads to asymptotically biased estimators. On the other hand …

Online variational sequential monte carlo

A Mastrototaro, J Olsson - arxiv preprint arxiv:2312.12616, 2023 - arxiv.org
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 …

Recursive Learning of Asymptotic Variational Objectives

A Mastrototaro, M Müller, J Olsson - arxiv preprint arxiv:2411.02217, 2024 - arxiv.org
General state-space models (SSMs) are widely used in statistical machine learning and are
among the most classical generative models for sequential time-series data. SSMs …

[HTML][HTML] Asymptotic analysis of model selection criteria for general hidden Markov models

S Yonekura, A Beskos, SS Singh - Stochastic Processes and their …, 2021 - Elsevier
The paper obtains analytical results for the asymptotic properties of Model Selection Criteria–
widely used in practice–for a general family of hidden Markov models (HMMs), thereby …

Backward importance sampling for online estimation of state space models

A Martin, MP Etienne, P Gloaguen… - … of Computational and …, 2023 - Taylor & Francis
This article proposes a new Sequential Monte Carlo algorithm to perform online estimation
in the context of state space models when either the transition density of the latent state or …

[HTML][HTML] Stability of optimal filter higher-order derivatives

VZB Tadić, A Doucet - Stochastic Processes and their Applications, 2020 - Elsevier
In many scenarios, a state-space model depends on a parameter which needs to be inferred
from data. Using stochastic gradient search and the optimal filter first-order derivatives, the …

Bias of particle approximations to optimal filter derivative

VZB Tadić, A Doucet - SIAM Journal on Control and Optimization, 2021 - SIAM
In many applications, a state-space model depends on a parameter which needs to be
inferred from data in an online manner. In the maximum likelihood approach, this can be …

Deep learning models and algorithms for sequential data problems: applications to language modelling and uncertainty quantification

A Martin - 2022 - theses.hal.science
In this thesis, we develop new models and algorithms to solve deep learning tasks on
sequential data problems, with the perspective of tackling the pitfalls of current approaches …