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Single-molecule break junction measurements deliver a huge number of conductance vs.\ electrode separation traces. Along such measurements the target molecules may bind to the electrodes in different geometries, and the evolution and…

介观与纳米尺度物理 · 物理学 2020-06-04 A. Magyarkuti , N. Balogh , Z. Balogh , L. Venkataraman , A. Halbritter

A simple and fast analysis method to sort large data sets into groups with shared distinguishing characteristics is described, and applied to single molecular break junction conductance versus electrode displacement data. The method, based…

介观与纳米尺度物理 · 物理学 2018-01-10 J. M. Hamill , X. T. Zhao , G. Mészáros , M. R. Bryce , M. Arenz

Motivation: Although principal component analysis is frequently applied to reduce the dimensionality of matrix data, the method is sensitive to noise and bias and has difficulty with comparability and interpretation. These issues are…

统计方法学 · 统计学 2012-12-27 Tomokazu Konishi

Structural breaks occur in timeseries data across a broad range of fields, from economics to nanosciences. For measurements of single-molecule break junctions, structural breaks in conductance versus displacement data occur when the…

Improved understanding of charge-transport in single molecules is essential for harnessing the potential of molecules e.g. as circuit components at the ultimate size limit. However, interpretation and analysis of the large, stochastic…

介观与纳米尺度物理 · 物理学 2020-08-06 Nathan D. Bamberger , Jeffrey A. Ivie , Keshaba N. Parida , Dominic V. McGrath , Oliver L. A. Monti

Molecular spintroinic device based on a single-molecule magnet is one of the ultimate goals of semiconductor nanofabrication technologies. It is thus necessary to understand the electron transport properties of a single-molecule magnet…

介观与纳米尺度物理 · 物理学 2014-10-15 Hai-Bin Xue , Jiu-Qing Liang , Wu-Ming Liu

Over the past decades, the increasing dimensionality of data has increased the need for effective data decomposition methods. Existing approaches, however, often rely on linear models or lack sufficient interpretability or flexibility. To…

统计方法学 · 统计学 2026-03-24 Jiaji Su , Zhigang Yao

Environmental health researchers often aim to identify sources/behaviors that give rise to potentially harmful exposures. We adapted principal component pursuit (PCP)-a robust technique for dimensionality reduction in computer vision and…

In this paper, we study the problem of computing a Principal Component Analysis of data affected by Poisson noise. We assume samples are drawn from independent Poisson distributions. We want to estimate principle components of a fixed…

统计方法学 · 统计学 2021-05-25 Toby Kenney , Tianshu Huang , Hong Gu

Principal component analysis (PCA) aims at estimating the direction of maximal variability of a high-dimensional dataset. A natural question is: does this task become easier, and estimation more accurate, when we exploit additional…

信息论 · 计算机科学 2014-06-19 Andrea Montanari , Emile Richard

Noisy labels can impair model performance, making the study of learning with noisy labels an important topic. Two conventional approaches are noise modeling and noise detection. However, these two methods are typically studied…

计算机视觉与模式识别 · 计算机科学 2023-12-05 Siqi Wang , Chau Pham , Bryan A. Plummer

We studied the noise spectra of molecule-free and molecule-containing mechanically controllable break junctions. Both types of junctions revealed typical 1/ f noise characteristics at different distances between the contacts with square…

介观与纳米尺度物理 · 物理学 2015-06-05 V. A. Sydoruk , D. Xiang , S. A. Vitusevich , M. V. Petrychuk , A. Vladyka , Y. Zhang , A. Offenhäusser , V. A. Kochelap , A. E. Belyaev , D. Mayer

Principal Components Analysis is a widely used technique for dimension reduction and characterization of variability in multivariate populations. Our interest lies in studying when and why the rotation to principal components can be used…

机器学习 · 统计学 2014-10-01 Daniel A Díaz-Pachón , Jean-Eudes Dazard , J. Sunil Rao

Detecting critical transitions in complex, noisy time-series data is a fundamental challenge across science and engineering. Such transitions may be anticipated by the emergence of a low-dimensional order parameter, whose signature is often…

机器学习 · 计算机科学 2025-12-16 Wenqi Fang , Ye Li

Strategies to improve the predicting performance of Message-Passing Neural-Networks for molecular property predictions can be achieved by simplifying how the message is passed and by using descriptors that capture multiple aspects of…

机器学习 · 计算机科学 2025-10-22 Alma C. Castaneda-Leautaud , Rommie E. Amaro

Multi-view data provides complementary information on the same set of observations, with multi-omics and multimodal sensor data being common examples. Analyzing such data typically requires distinguishing between shared (joint) and unique…

机器学习 · 统计学 2025-08-14 Renat Sergazinov , Armeen Taeb , Irina Gaynanova

Accurately predicting molecular properties is a challenging but essential task in drug discovery. Recently, many mono-modal deep learning methods have been successfully applied to molecular property prediction. However, the inherent…

机器学习 · 计算机科学 2024-09-16 Xiaohua Lu , Liangxu Xie , Lei Xu , Rongzhi Mao , Shan Chang , Xiaojun Xu

Functional Principal Component Analysis is a reference method for dimension reduction of curve data. Its theoretical properties are now well understood in the simplified case where the sample curves are fully observed without noise.…

统计方法学 · 统计学 2025-04-28 Ryad Belhakem , Franck Picard , Vincent Rivoirard , Angelina Roche

We carry out experiments on single-molecule junctions at low temperatures, using the mechanically controlled break junction technique. Analyzing the results received with more than ten different molecules the nature of the first peak in the…

介观与纳米尺度物理 · 物理学 2012-03-21 Daniel Secker , Stefan Wagner , Stefan Ballmann , Rainer Härtle , Michael Thoss , Heiko B. Weber
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