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A non-Bayesian, regression-based or generalized least squares (GLS)-based approach is formally proposed to estimate a class of time-varying AR parameter models. This approach has partly been used by Ito et al. (2014, 2016a,b), and is proven…

Methodology · Statistics 2017-12-22 Mikio Ito , Akihiko Noda , Tatsuma Wada

Wavelet (Besov) priors are a promising way of reconstructing indirectly measured fields in a regularized manner. We demonstrate how wavelets can be used as a localized basis for reconstructing permeability fields with sharp interfaces from…

Numerical Analysis · Mathematics 2019-07-09 Philipp Wacker , Peter Knabner

Latent variable models (LVMs) learn probabilistic models of data manifolds lying in an \emph{ambient} Euclidean space. In a number of applications, a priori known spatial constraints can shrink the ambient space into a considerably smaller…

Machine Learning · Statistics 2019-02-26 Anton Mallasto , Søren Hauberg , Aasa Feragen

This paper proposes a new framework based on a wavelet transform and deep neural network for identifying noisy Raman spectrum since, in practice, it is relatively difficult to classify the spectrum under baseline noise and additive white…

This paper presents joint sampling frequency offset (SFO) estimation and compensation algorithms based on the Farrow structure. Unlike conventional approaches that treat estimation and compensation separately, the proposed framework…

Signal Processing · Electrical Eng. & Systems 2026-03-03 Deijany Rodriguez Linares , Oksana Moryakova , Håkan Johansson

In this paper we revisit a non-linear filter for {\em non-Gaussian} noises that was introduced in [1]. Goggin proved that transforming the observations by the score function and then applying the Kalman Filter (KF) to the transformed…

Information Theory · Computer Science 2026-01-22 Imon Banerjee , Itai Gurvich

The analysis of gravitational-wave (GW) signals is one of the most challenging application areas of signal processing. Wavelet transforms are specially helpful in detecting and analyzing GW transients and several analysis pipelines are…

General Relativity and Quantum Cosmology · Physics 2024-05-27 Andrea Virtuoso , Edoardo Milotti

For identification of systems embedded in dynamic networks, applying the prediction error method (PEM) to a correct tailor-made parametrization of the complete network provided asymptotically efficient estimates. However, the network…

Systems and Control · Computer Science 2018-03-21 Miguel Galrinho , Riccardo Prota , Mina Ferizbegovic , Håkan Hjalmarsson

Dimension reduction provides a useful tool for analyzing high dimensional data. The recently developed \textit{Envelope} method is a parsimonious version of the classical multivariate regression model through identifying a minimal reducing…

Methodology · Statistics 2019-03-06 Hossein Moradi Rekabdarkolaee , Qin Wang , Zahra Naji , Montserrat Fuentes

Recently, Gaussian splatting has emerged as a strong alternative to NeRF, demonstrating impressive 3D modeling capabilities while requiring only a fraction of the training and rendering time. In this paper, we show how the standard Gaussian…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Luca Savant Aira , Gabriele Facciolo , Thibaud Ehret

Identification of a transient gravitational-wave signal embedded into non-stationary noise requires the analysis of time-dependent spectral components in the resulting time series. The time-frequency distribution of the signal power can be…

Data Analysis, Statistics and Probability · Physics 2022-01-05 Sergey Klimenko

The dynamical conductivity of interacting multiband electronic systems derived in Ref.[1] is shown to be consistent with the general form of the Ward identity. Using the semiphenomenological form of this conductivity formula, we have…

Mesoscale and Nanoscale Physics · Physics 2015-01-09 I. Kupcic

Gaussian copula has been employed to evaluate the outage performance of Fluid Antenna Systems (FAS), with the covariance matrix reflecting the dependence among multivariate normal random variables (RVs). While prior studies approximate this…

Information Theory · Computer Science 2025-12-02 Rui Xu , Yinghui Ye , Xiaoli Chu , Guangyue Lu , Farshad Rostami Ghadi , Kai-Kit Wong

We propose a novel point-based representation, Gaussian surfels, to combine the advantages of the flexible optimization procedure in 3D Gaussian points and the surface alignment property of surfels. This is achieved by directly setting the…

Computer Vision and Pattern Recognition · Computer Science 2024-05-01 Pinxuan Dai , Jiamin Xu , Wenxiang Xie , Xinguo Liu , Huamin Wang , Weiwei Xu

4D millimeter-wave (mmWave) radars are sensors that provide robustness against adverse weather conditions (rain, snow, fog, etc.), and as such they are increasingly used for odometry and SLAM (Simultaneous Location and Mapping). However,…

Robotics · Computer Science 2026-03-18 Fernando Amodeo , Luis Merino , Fernando Caballero

When signals are measured through physical sensors, they are perturbed by noise. To reduce noise, low-pass filters are commonly employed in order to attenuate high frequency components in the incoming signal, regardless if they come from…

Signal Processing · Electrical Eng. & Systems 2021-11-08 Alejandro J. Ordóñez-Conejo , Armin Lederer , Sandra Hirche

Weakly-supervised 3D occupancy perception is crucial for vision-based autonomous driving in outdoor environments. Previous methods based on NeRF often face a challenge in balancing the number of samples used. Too many samples can decrease…

Computer Vision and Pattern Recognition · Computer Science 2025-12-23 Qianpu Sun , Changyong Shu , Sifan Zhou , Runxi Cheng , Yongxian Wei , Zichen Yu , Dawei Yang , Sirui Han , Yuan Chun

Filtering and smoothing algorithms for linear discrete-time state-space models with skewed and heavy-tailed measurement noise are presented. The algorithms use a variational Bayes approximation of the posterior distribution of models that…

Systems and Control · Computer Science 2015-06-30 Henri Nurminen , Tohid Ardeshiri , Robert Piché , Fredrik Gustafsson

We introduce a general framework for large-scale model-based derivative-free optimization based on iterative minimization within random subspaces. We present a probabilistic worst-case complexity analysis for our method, where in particular…

Optimization and Control · Mathematics 2021-02-25 Coralia Cartis , Lindon Roberts

We present a framework for the optimal filtering of spherical signals contaminated by realizations of an additive, zero-mean, uncorrelated and anisotropic noise process on the sphere. Filtering is performed in the wavelet domain given by…

Signal Processing · Electrical Eng. & Systems 2021-02-09 Adeem Aslam , Zubair Khalid , Jason D. McEwen