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We consider the problem of joint estimation of structured inverse covariance matrices. We perform the estimation using groups of measurements with different covariances of the same unknown structure. Assuming the inverse covariances to span…

机器学习 · 统计学 2015-11-23 Ilya Soloveychik , Ami Wiesel

New algorithm for quantum state estimation based on the maximum likelihood estimation is proposed. Existing techniques for state reconstruction based on the inversion of measured data are shown to be overestimated since they do not…

量子物理 · 物理学 2009-10-30 Zdenek Hradil

State-space models have been used in many applications, including econometrics, engineering, medical research, etc. The maximum likelihood estimation (MLE) of the static parameter of general state-space models is not straightforward because…

统计方法学 · 统计学 2025-02-04 Yuxiong Gao , Wentao Li , Rong Chen

Deep learning approaches to accelerated MRI take a matrix of sampled Fourier-space lines as input and produce a spatial image as output. In this work we show that by careful choice of the offset used in the sampling procedure, the…

图像与视频处理 · 电气工程与系统科学 2020-02-05 Aaron Defazio

Learning a stable Linear Dynamical System (LDS) from data involves creating models that both minimize reconstruction error and enforce stability of the learned representation. We propose a novel algorithm for learning stable LDSs. Using a…

机器学习 · 计算机科学 2020-11-19 Giorgos Mamakoukas , Orest Xherija , T. D. Murphey

This paper presents novel strategies for spawning and fusing submaps within an elastic dense 3D reconstruction system. The proposed system uses spatial understanding of the scanned environment to control memory usage growth by fusing…

机器人学 · 计算机科学 2021-09-21 Yiduo Wang , Milad Ramezani , Matias Mattamala , Maurice Fallon

Multi-sensor state space models underpin fusion applications in networks of sensors. Estimation of latent parameters in these models has the potential to provide highly desirable capabilities such as network self-calibration. Conventional…

系统与控制 · 计算机科学 2018-01-04 Murat Uney , Bernard Mulgrew , Daniel E Clark

In this work the issue of Bayesian inference for stationary data is addressed. Therefor a parametrization of a statistically suitable subspace of the the shift-ergodic probability measures on a Cartesian product of some finite state space…

统计理论 · 数学 2017-10-24 Fritz Moritz von Rohrscheidt

This paper considers the problem of robust subspace recovery: given a set of $N$ points in $\mathbb{R}^D$, if many lie in a $d$-dimensional subspace, then can we recover the underlying subspace? We show that Tyler's M-estimator can be used…

机器学习 · 统计学 2021-04-30 Teng Zhang

Recent observations have advanced our understanding of the neural network optimization landscape, revealing the existence of (1) paths of high accuracy containing diverse solutions and (2) wider minima offering improved performance.…

机器学习 · 计算机科学 2021-09-14 Mitchell Wortsman , Maxwell Horton , Carlos Guestrin , Ali Farhadi , Mohammad Rastegari

The identification of a nonlinear dynamic model is an open topic in control theory, especially from sparse input-output measurements. A fundamental challenge of this problem is that very few to zero prior knowledge is available on both the…

系统与控制 · 电气工程与系统科学 2022-06-13 Steeven Janny , Quentin Possamai , Laurent Bako , Madiha Nadri , Christian Wolf

Deep stereo matching has made significant progress in recent years. However, state-of-the-art methods are based on expensive 4D cost volume, which limits their use in real-world applications. To address this issue, 3D correlation maps and…

计算机视觉与模式识别 · 计算机科学 2022-01-03 Xiaoming Zhao , Weihai Chen , Xingming Wu , Peter C. Y. Chen , Zhengguo Li

This paper proposes a fully distributed robust state-estimation (D-RBSE) method that is applicable to multi-area power systems with nonlinear measurements. We extend the recently introduced bilinear formulation of state estimation problems…

系统与控制 · 计算机科学 2015-08-18 Weiye Zheng , Wenchuan Wu , Antonio Gomez-Exposito , Boming Zhang

Reliable forward uncertainty quantification in engineering requires methods that account for aleatory and epistemic uncertainties. In many applications, epistemic effects arising from uncertain parameters and model form dominate prediction…

计算工程、金融与科学 · 计算机科学 2025-12-18 Akash Yadav , Ruda Zhang

Simulations play a key role for inference in collider physics. We explore various approaches for enhancing the precision of simulations using machine learning, including interventions at the end of the simulation chain (reweighting), at the…

高能物理 - 唯象学 · 物理学 2023-10-24 Benjamin Nachman , Ramon Winterhalder

In this paper, a new framework, named as graphical state space model, is proposed for the real time optimal estimation of a class of nonlinear state space model. By discretizing this kind of system model as an equation which can not be…

系统与控制 · 电气工程与系统科学 2022-11-10 Shaolin Lü

When working with quantum states, analysis of the final quantum state generated through probabilistic measurements is essential. This analysis is typically conducted by constructing the density matrix from either partial or full tomography…

量子物理 · 物理学 2025-01-14 Rohit Prasad , Pratyay Ghosh , Ronny Thomale , Tobias Huber-Loyola

Newton-step approximations to pseudo maximum likelihood estimates of spatial autoregressive models with a large number of parameters are examined, in the sense that the parameter space grows slowly as a function of sample size. These have…

计量经济学 · 经济学 2021-05-25 Abhimanyu Gupta

Incremental learning from non-stationary data poses special challenges to the field of machine learning. Although new algorithms have been developed for this, assessment of results and comparison of behaviors are still open problems, mainly…

机器学习 · 计算机科学 2018-06-19 Alejandro Cervantes , Christian Gagné , Pedro Isasi , Marc Parizeau

The estimation of parameters in a linear model is considered under the hypothesis that the noise, with finite second order statistics, can be represented in a given deterministic basis by random coefficients. An extended underdetermined…

统计理论 · 数学 2014-05-06 Piero Barone , Isabella Lari