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In order to integrate uncertainty estimates into deep time-series modelling, Kalman Filters (KFs) (Kalman et al., 1960) have been integrated with deep learning models, however, such approaches typically rely on approximate inference…

机器学习 · 计算机科学 2019-05-20 Philipp Becker , Harit Pandya , Gregor Gebhardt , Cheng Zhao , James Taylor , Gerhard Neumann

Inferring behavior model of a running software system is quite useful for several automated software engineering tasks, such as program comprehension, anomaly detection, and testing. Most existing dynamic model inference techniques are…

机器学习 · 计算机科学 2020-08-31 Mohammad Jafar Mashhadi , Hadi Hemmati

We introduce a new version of deep state-space models (DSSMs) that combines a recurrent neural network with a state-space framework to forecast time series data. The model estimates the observed series as functions of latent variables that…

机器学习 · 统计学 2022-05-20 Haoxuan Wu , David S. Matteson , Martin T. Wells

State estimation or filtering serves as a fundamental task to enable intelligent decision-making in applications such as autonomous vehicles, robotics, healthcare monitoring, smart grids, intelligent transportation, and predictive…

机器学习 · 计算机科学 2025-06-16 Aamir Hussain Chughtai

The data-driven recovery of the unknown governing equations of dynamical systems has recently received an increasing interest. However, the identification of governing equations remains challenging when dealing with noisy and partial…

机器学习 · 计算机科学 2021-02-17 Duong Nguyen , Said Ouala , Lucas Drumetz , Ronan Fablet

This work studies networked agents cooperating to track a dynamical state of nature under partial information. The proposed algorithm is a distributed Bayesian filtering algorithm for finite-state hidden Markov models (HMMs). It can be used…

信号处理 · 电气工程与系统科学 2022-12-07 Mert Kayaalp , Virginia Bordignon , Stefan Vlaski , Vincenzo Matta , Ali H. Sayed

We develop data-driven methods incorporating geometric and topological information to learn parsimonious representations of nonlinear dynamics from observations. The approaches learn nonlinear state-space models of the dynamics for general…

机器学习 · 计算机科学 2025-03-28 Ryan Lopez , Paul J. Atzberger

Deep directed generative models have attracted much attention recently due to their generative modeling nature and powerful data representation ability. In this paper, we review different structures of deep directed generative models and…

机器学习 · 计算机科学 2017-10-16 Siqi Nie , Meng Zheng , Qiang Ji

We introduce a new sequential methodology to calibrate the fixed parameters and track the stochastic dynamical variables of a state-space system. The proposed method is based on the nested hybrid filtering (NHF) framework of [1], that…

统计计算 · 统计学 2021-03-24 Sara Pérez-Vieites , Joaquín Míguez

We address the problem of unsupervised disentanglement of latent representations learnt via deep generative models. In contrast to current approaches that operate on the evidence lower bound (ELBO), we argue that statistical independence in…

机器学习 · 计算机科学 2019-01-08 Abdul Fatir Ansari , Harold Soh

A fairly reliable trend in deep reinforcement learning is that the performance scales with the number of parameters, provided a complimentary scaling in amount of training data. As the appetite for large models increases, it is imperative…

机器学习 · 计算机科学 2023-06-14 Bogdan Mazoure , Walter Talbott , Miguel Angel Bautista , Devon Hjelm , Alexander Toshev , Josh Susskind

The Mean Field Variational Bayes (MFVB) method is one of the most computationally efficient techniques for Bayesian inference. However, its use has been restricted to models with conjugate priors or those that require analytical…

统计计算 · 统计学 2023-05-18 Minh-Ngoc Tran , Paco Tseng , Robert Kohn

Bayesian approach, as a useful tool for quantifying uncertainties, has been widely used for solving inverse problems of partial differential equations (PDEs). One of the key difficulties for employing Bayesian approach for the issue is how…

数值分析 · 数学 2026-02-09 Junxiong Jia , Qian Zhao , Zongben Xu , Deyu Meng , Yee Leung

We introduce implicit Bayesian neural networks, a simple and scalable approach for uncertainty representation in deep learning. Standard Bayesian approach to deep learning requires the impractical inference of the posterior distribution…

机器学习 · 统计学 2020-10-27 Trung Trinh , Samuel Kaski , Markus Heinonen

This paper proposes a fast two-stage variational Bayesian (VB) algorithm to estimate unrestricted panel spatial autoregressive models. Using Dirichlet-Laplace priors, we are able to uncover the spatial relationships between cross-sectional…

计量经济学 · 经济学 2023-08-23 Deborah Gefang , Stephen G. Hall , George S. Tavlas

This paper presents a Bayesian approach to symbol and phase inference in a phase-unsynchronized digital receiver. It primarily extends [Quinn 2011] to the multi-symbol case, using the variational Bayes (VB) approximation to deal with the…

应用统计 · 统计学 2015-03-13 Arijit Das , Anthony Quinn

Variational Bayes (VB) has been used to facilitate the calculation of the posterior distribution in the context of Bayesian inference of the parameters of nonlinear models from data. Previously an analytical formulation of VB has been…

信号处理 · 电气工程与系统科学 2020-07-06 Michael A. Chappell , Martin S. Craig , Mark W. Woolrich

Deep directed generative models have attracted much attention recently due to their expressive representation power and the ability of ancestral sampling. One major difficulty of learning directed models with many latent variables is the…

机器学习 · 计算机科学 2015-06-16 Siqi Nie , Qiang Ji

In this paper, we consider the problem of learning prediction models for spatiotemporal physical processes driven by unknown partial differential equations (PDEs). We propose a deep learning framework that learns the underlying dynamics and…

机器学习 · 统计学 2021-05-04 Priyabrata Saha , Saibal Mukhopadhyay

This paper deals with the state estimation of non-linear and non-Gaussian systems with an emphasis on the numerical solution to the Bayesian recursive relations. In particular, this paper builds upon the Lagrangian grid-based filter (GbF)…

信号处理 · 电气工程与系统科学 2026-02-20 Jindřich Duník , Jan Krejčí , Jakub Matoušek , Marek Brandner , Yeongkwon Choe