activity
20182023
most citedImage Restoration with Mean-Reverting Stochastic Differential Equations

68 citations · 104 across the 13 of their papers we have counts for

collaborators

13 papers

stat.ME2023

Stochastic filtering with moment representation

Zheng Zhao, Juha Sarmavuori

Stochastic filtering refers to estimating the probability distribution of the latent stochastic process conditioned on the observed measurements in time. In this paper, we introduc…

math.OC2023

Gaussian-Based Parametric Bijections For Automatic Projection Filters

Muhammad F. Emzir, Zheng Zhao, Lahouari Cheded +1

The automatic projection filter is a recently developed numerical method for projection filtering that leverages sparse-grid integration and automatic differentiation. However, its…

cs.LG2023★ 68 cited

Image Restoration with Mean-Reverting Stochastic Differential Equations

Ziwei Luo, Fredrik K. Gustafsson, Zheng Zhao +2

This paper presents a stochastic differential equation (SDE) approach for general-purpose image restoration. The key construction consists in a mean-reverting SDE that transforms a…

stat.ML2022★ 7 cited

Probabilistic Estimation of Instantaneous Frequencies of Chirp Signals

Zheng Zhao, Simo Särkkä, Jens Sjölund +1

We present a continuous-time probabilistic approach for estimating the chirp signal and its instantaneous frequency function when the true forms of these functions are not accessib…

math.OC2021

Multidimensional Projection Filters via Automatic Differentiation and Sparse-Grid Integration

Muhammad Fuady Emzir, Zheng Zhao, Simo Särkkä

The projection filter is a technique for approximating the solutions of optimal filtering problems. In projection filters, the Kushner--Stratonovich stochastic partial differential…

stat.ME2021★ 1 cited

State-space deep Gaussian processes with applications

Zheng Zhao

This thesis is mainly concerned with state-space approaches for solving deep (temporal) Gaussian process (DGP) regression problems. More specifically, we represent DGPs as hierarch…

math.NA2021★ 1 cited

Non-linear Gaussian smoothing with Taylor moment expansion

Zheng Zhao, Simo Särkkä

This letter is concerned with solving continuous-discrete Gaussian smoothing problems by using the Taylor moment expansion (TME) scheme. In the proposed smoothing method, we apply…

stat.ME2021

Hierarchical Non-Stationary Temporal Gaussian Processes With -Regularization

Zheng Zhao, Rui Gao, Simo Särkkä

This paper is concerned with regularized extensions of hierarchical non-stationary temporal Gaussian processes (NSGPs) in which the parameters (e.g., length-scale) are modeled as G…

cs.LG2021

Temporal Gaussian Process Regression in Logarithmic Time

Adrien Corenflos, Zheng Zhao, Simo Särkkä

The aim of this article is to present a novel parallelization method for temporal Gaussian process (GP) regression problems. The method allows for solving GP regression problems in…

stat.ML2020★ 17 cited

Deep State-Space Gaussian Processes

Zheng Zhao, Muhammad Emzir, Simo Särkkä

This paper is concerned with a state-space approach to deep Gaussian process (DGP) regression. We construct the DGP by hierarchically putting transformed Gaussian process (GP) prio…

stat.ME2020★ 2 cited

Taylor Moment Expansion for Continuous-Discrete Gaussian Filtering and Smoothing

Zheng Zhao, Toni Karvonen, Roland Hostettler +1

The paper is concerned with non-linear Gaussian filtering and smoothing in continuous-discrete state-space models, where the dynamic model is formulated as an Itô stochastic differ…

eess.SP2019★ 5 cited

Automated Polysomnography Analysis for Detection of Non-Apneic and Non-Hypopneic Arousals using Feature Engineering and a Bidirectional LSTM Network

Ali Bahrami Rad, Morteza Zabihi, Zheng Zhao +3

Objective: The aim of this study is to develop an automated classification algorithm for polysomnography (PSG) recordings to detect non-apneic and non-hypopneic arousals. Our parti…

eess.SP2018★ 3 cited

Kalman-based Spectro-Temporal ECG Analysis using Deep Convolutional Networks for Atrial Fibrillation Detection

Zheng Zhao, Simo Särkkä, Ali Bahrami Rad

In this article, we propose a novel ECG classification framework for atrial fibrillation (AF) detection using spectro-temporal representation (i.e., time varying spectrum) and deep…