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We employ the variational formulation and the Euler-Lagrange equations to study the steady-state error in linear non-causal estimators (smoothers). We give a complete description of the steady-state error for inputs that are polynomial in…

最优化与控制 · 数学 2008-02-04 D. Ezri , B. Z. Bobrovsky , Z. Schuss

Duplicate detection is the problem of identifying whether a given item has previously appeared in a (possibly infinite) stream of data, when only a limited amount of memory is available. Unfortunately the infinite stream setting is…

数据结构与算法 · 计算机科学 2020-05-12 Rémi Géraud-Stewart , Marius Lombard-Platet , David Naccache

We present a system of efficient methods for traversing and combining associative collection data structures. A distinguishing feature of the system is that, like traditional sequential iterator libraries, it does not require specialized…

编程语言 · 计算机科学 2025-07-10 Scott Kovach , Praneeth Kolichala , Kyle A. Miller , David Broman , Fredrik Kjolstad

In standard clustering problems, data points are represented by vectors, and by stacking them together, one forms a data matrix with row or column cluster structure. In this paper, we consider a class of binary matrices, arising in many…

机器学习 · 统计学 2014-02-06 Jiaming Xu , Rui Wu , Kai Zhu , Bruce Hajek , R. Srikant , Lei Ying

Computational complexity of the brute-force implementation of the bilateral filter (BF) depends on its filter kernel size. To achieve the constant-time BF whose complexity is irrelevant to the kernel size, many techniques have been…

计算机视觉与模式识别 · 计算机科学 2018-03-02 Longquan Dai , Mengke Yuan , Xiaopeng Zhang

Many modern simultaneous localization and mapping (SLAM) techniques rely on sparse landmark-based maps due to their real-time performance. However, these techniques frequently assert that these landmarks are fixed in position over time,…

机器人学 · 计算机科学 2020-08-04 Samuel Bateman , Kyle Harlow , Christoffer Heckman

Developers perform online sensemaking on a daily basis, such as researching and choosing libraries and APIs. Prior research has introduced tools that help developers capture information from various sources and organize it into structures…

软件工程 · 计算机科学 2022-02-07 Michael Xieyang Liu , Aniket Kittur , Brad A. Myers

Polarizing filters provide a powerful way to separate diffuse and specular reflection; however, traditional methods rely on several captures and require proper alignment of the filters. Recently, camera manufacturers have proposed to embed…

计算机视觉与模式识别 · 计算机科学 2018-11-08 Laurent Valentin Jospin , Gilles Baechler , Adam Scholefield

We consider multiscale stochastic systems that are partially observed at discrete points of the slow time scale. We introduce a particle filter that takes advantage of the multiscale structure of the system to efficiently approximate the…

统计计算 · 统计学 2007-10-29 Anastasia Papavasiliou

Future cellular systems will likely employ massive bi-dimensional arrays to improve performance by large array gain and more accurate spatial filtering, motivating the design of low-complexity signal processing methods. We propose…

信息论 · 计算机科学 2019-01-29 Lucas N. Ribeiro , André L. F. de Almeida , Josef A. Nossek , João César M. Mota

Simultaneous localization and mapping (SLAM) based on laser sensors has been widely adopted by mobile robots and autonomous vehicles. These SLAM systems are required to support accurate localization with limited computational resources. In…

机器人学 · 计算机科学 2022-09-01 Yifan Duan , Jie Peng , Yu Zhang , Jianmin Ji , Yanyong Zhang

Bayesian filtering approximates the true underlying behavior of a time-varying system by inverting an explicit generative model to convert noisy measurements into state estimates. This process typically requires either storage, inversion,…

机器学习 · 计算机科学 2023-11-20 Gianluca M. Bencomo , Jake C. Snell , Thomas L. Griffiths

A discriminative structured analysis dictionary is proposed for the classification task. A structure of the union of subspaces (UoS) is integrated into the conventional analysis dictionary learning to enhance the capability of…

计算机视觉与模式识别 · 计算机科学 2019-09-17 Wen Tang , Ashkan Panahi , Hamid Krim , Liyi Dai

Binary embedding of high-dimensional data aims to produce low-dimensional binary codes while preserving discriminative power. State-of-the-art methods often suffer from high computation and storage costs. We present a simple and fast…

信息论 · 计算机科学 2016-01-26 Sung-Hsien Hsieh , Chun-Shien Lu , Soo-Chang Pei

This work is about a slow-fast data assimilation system when only slow components are observable. First, we obtain its low dimensional reduction via an invariant slow manifold. Second, we prove that the low dimensional filter on the slow…

概率论 · 数学 2018-09-26 Huijie Qiao , Yanjie Zhang , Jinqiao Duan

A Bayesian data assimilation scheme is formulated for advection-dominated or hyperbolic evolutionary problems, and observations. The method is referred to as the dynamic likelihood filter because it exploits the model physics to dynamically…

动力系统 · 数学 2017-04-26 Juan M. Restrepo

This paper presents a new filter for state-space models based on Bellman's dynamic-programming principle, allowing for nonlinearity, non-Gaussianity and degeneracy in the observation and/or state-transition equations. The resulting Bellman…

统计方法学 · 统计学 2025-02-18 Rutger-Jan Lange

The increasing popularity of jumbo frames means growing variance in the size of packets transmitted in modern networks. Consequently, network monitoring tools must maintain explicit traffic volume statistics rather than settle for packet…

数据结构与算法 · 计算机科学 2017-10-17 Ran Ben Basat , Gil Einziger , Roy Friedman

Bayesian filtering is a well-known problem that aims to estimate plausible states of a dynamical system from observations. Among existing approaches to solve this problem, particle filters are theoretically exact for non-linear dynamics and…

机器学习 · 计算机科学 2026-05-20 Thomas Savary , François Rozet , Gilles Louppe

When designing multispectral imaging systems for classifying different spectra it is necessary to choose a small number of filters from a set with several hundred different ones. Tackling this problem by full search leads to a tremendous…

图像与视频处理 · 电气工程与系统科学 2023-01-19 Frank Sippel , Jürgen Seiler , André Kaup
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