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In recent years, there is a growing need for processing methods aimed at extracting useful information from large datasets. In many cases the challenge is to discover a low-dimensional structure in the data, often concealed by the existence…

统计理论 · 数学 2019-06-05 Yariv Aizenbud , Boris Landa , Yoel Shkolnisky

Network-based analyses of dynamical systems have become increasingly popular in climate science. Here we address network construction from a statistical perspective and highlight the often ignored fact that the calculated correlation values…

机器学习 · 计算机科学 2023-06-14 Moritz Haas , Bedartha Goswami , Ulrike von Luxburg

Data noising is an effective technique for regularizing neural network models. While noising is widely adopted in application domains such as vision and speech, commonly used noising primitives have not been developed for discrete…

机器学习 · 计算机科学 2017-03-09 Ziang Xie , Sida I. Wang , Jiwei Li , Daniel Lévy , Aiming Nie , Dan Jurafsky , Andrew Y. Ng

We consider the problem of estimating a signal from noisy circularly-translated versions of itself, called multireference alignment (MRA). One natural approach to MRA could be to estimate the shifts of the observations first, and infer the…

信息论 · 计算机科学 2018-02-14 Tamir Bendory , Nicolas Boumal , Chao Ma , Zhizhen Zhao , Amit Singer

Robustness is a crucial factor for the successful deployment of robots in unstructured environments, particularly in the domain of Simultaneous Localization and Mapping (SLAM). Simulation-based benchmarks have emerged as a highly scalable…

机器人学 · 计算机科学 2024-02-14 Xiaohao Xu , Tianyi Zhang , Sibo Wang , Xiang Li , Yongqi Chen , Ye Li , Bhiksha Raj , Matthew Johnson-Roberson , Xiaonan Huang

In this paper, we address the challenge of deriving dynamical models from sparse and noisy data. High-quality data is crucial for symbolic regression algorithms; limited and noisy data can present modeling challenges. To overcome this, we…

机器学习 · 计算机科学 2024-10-14 Junette Hsin , Shubhankar Agarwal , Adam Thorpe , Luis Sentis , David Fridovich-Keil

Network estimation from multi-variate point process or time series data is a problem of fundamental importance. Prior work has focused on parametric approaches that require a known parametric model, which makes estimation procedures less…

机器学习 · 统计学 2021-06-30 Yue Gao , Garvesh Raskutti

Deep learning (DL) has been shown to outperform traditional, human-defined summary statistics of the Ly{\alpha} forest in constraining key astrophysical and cosmological parameters owing to its ability to tap into the realm of non-Gaussian…

天体物理仪器与方法 · 物理学 2025-10-24 Parth Nayak , Michael Walther , Daniel Gruen

Many scientific fields compare two or more noisy time series that integrate the same underlying process but are recorded on different time scales. In paleoclimate studies, for example, proxy measurements are collected versus stratigraphic…

应用统计 · 统计学 2026-03-12 Marco A. Aquino-López , Francesco Muschitiello , Matt Osman

The lasso has become an important practical tool for high dimensional regression as well as the object of intense theoretical investigation. But despite the availability of efficient algorithms, the lasso remains computationally demanding…

统计理论 · 数学 2009-11-23 Christopher Genovese , Jiashun Jin , Larry Wasserman

A method is proposed to generate an optimal fit of a number of connected linear trend segments onto time-series data. To be able to efficiently handle many lines, the method employs a stochastic search procedure to determine optimal…

定量方法 · 定量生物学 2017-04-11 Myrl G. Marmarelis

Training dialogue systems often entails dealing with noisy training examples and unexpected user inputs. Despite their prevalence, there currently lacks an accurate survey of dialogue noise, nor is there a clear sense of the impact of each…

计算与语言 · 计算机科学 2023-08-01 Derek Chen , Zhou Yu

Real-world multivariate time series, particularly in critical infrastructure such as electrical power grids, are often corrupted by noise and anomalies that degrade the performance of downstream tasks. Standard data cleaning approaches…

人工智能 · 计算机科学 2026-03-13 David Baumgartner , Helge Langseth , Heri Ramampiaro

Network reconstruction is important to the understanding and control of collective dynamics in complex systems. Most real networks exhibit sparsely connected properties, and the connection parameter is a signal (0 or 1). Well-known…

物理与社会 · 物理学 2025-09-03 Lei Shi , Jie Hu , Libin Jin , Chen Shen , Huaiyu Tan , Dalei Yu

Substantial improvement in accuracy of identified linear time-invariant single-input multi-output (SIMO) dynamical models is possible when the disturbances affecting the output measurements are spatially correlated. Using an orthogonal…

系统与控制 · 计算机科学 2015-01-14 Niklas Everitt , Giulio Bottegal , Cristian R. Rojas , Håkan Hjalmarsson

We describe a method for reconstructing spatially explicit maps of seasonal palaeoclimate variables from site-based reconstructions. Using a 3D-Variational technique, the method finds the best statistically unbiased, and spatially…

数值分析 · 数学 2020-03-10 S. F. Cleator , S. P. Harrison , N. K. Nichols , I. C. Prentice , I. Roulstone

Power grid parameter estimation involves the estimation of unknown parameters, such as inertia and damping coefficients, using observed dynamics. In this work, we present a comparison of data-driven algorithms for the power grid parameter…

系统与控制 · 电气工程与系统科学 2021-07-09 Subhash Lakshminarayana , Saurav Sthapit , Carsten Maple

Quantifying long-term historical climate is fundamental to understanding recent climate change. Most instrumentally recorded climate data are only available for the past 200 years, so proxy observations from natural archives are often…

This paper introduces a new addition to the SPINEX (Similarity-based Predictions with Explainable Neighbors Exploration) family, tailored specifically for time series and forecasting analysis. This new algorithm leverages the concept of…

统计方法学 · 统计学 2024-12-30 Ahmed Z Naser , MZ Naser

Complex interactions between entities are often represented as edges in a network. In practice, the network is often constructed from noisy measurements and inevitably contains some errors. In this paper we consider the problem of…

统计理论 · 数学 2018-12-11 Can M. Le , Keith Levin , Elizaveta Levina