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Mobile sensing enabled by GPS or smart phones has become an increasingly important source of traffic data. For sufficient coverage of the traffic stream, it is important to maintain a reasonable penetration rate of probe vehicles. From the…

偏微分方程分析 · 数学 2016-03-29 Benedetto Piccoli , Ke Han , Terry L. Friesz , Tao Yao , Junqing Tang

We consider the problem of quantifying temporal coordination between multiple high-dimensional responses. We introduce a family of multi-way stochastic blockmodels suited for this problem, which avoids preprocessing steps such as binning…

应用统计 · 统计学 2014-01-14 Edoardo M. Airoldi , Xiaopei Wang , Xiaodong Lin

We investigate model assessment and selection in a changing environment, by synthesizing datasets from both the current time period and historical epochs. To tackle unknown and potentially arbitrary temporal distribution shift, we develop…

机器学习 · 计算机科学 2024-06-05 Elise Han , Chengpiao Huang , Kaizheng Wang

Temporal resolution is a critical figure of merit in quantum sensing. This study combines the distinguishable condition of quantum states with quantum speed limits to establish a lower bound on interrogation time. When the interrogation…

量子物理 · 物理学 2025-07-15 Cong-Gang Song , Qing-yu Cai

Heterogeneity is a dominant factor in the behaviour of many biological processes. Despite this, it is common for mathematical and statistical analyses to ignore biological heterogeneity as a source of variability in experimental data.…

The dynamics of a passive scalar plume in a turbulent boundary layer is experimentally investigated via vertical turbulent transport time-series. Data are acquired in a rough-wall turbulent boundary layer that develops in a recirculating…

流体动力学 · 物理学 2019-10-10 Giovanni Iacobello , Massimo Marro , Luca Ridolfi , Pietro Salizzoni , Stefania Scarsoglio

Motion simulators are widely employed in basic and applied research to study the neural mechanisms of perception and action under inertial stimulations. In these studies, uncontrolled simulator-introduced noise inevitably leads to a…

系统与控制 · 计算机科学 2015-06-17 Alessandro Nesti , Karl A Beykirch , Paul R MacNeilage , Michael Barnett-Cowan , Heinrich H Bülthoff

Receiver operating characteristic (ROC) analysis is one of the most popular approaches for evaluating and comparing the accuracy of medical diagnostic tests. Although various methodologies have been developed for estimating ROC curves and…

统计方法学 · 统计学 2022-08-16 Ainesh Sewak , Torsten Hothorn

What happens to the optimal interpretation of noisy data when there exists more than one equally plausible interpretation of the data? In a Bayesian model-learning framework the answer depends on the prior expectations of the dynamics of…

其他定量生物学 · 定量生物学 2007-05-23 Gurinder Singh Atwal , William Bialek

Time series data provided by single-molecule Forster resonance energy transfer (sm-FRET) experiments offer the opportunity to infer not only model parameters describing molecular complexes, e.g. rate constants, but also information about…

定量方法 · 定量生物学 2015-05-13 Jonathan E. Bronson , Jingyi Fei , Jake M. Hofman , Ruben L. Gonzalez, , Chris H. Wiggins

Estimating time-varying graphical models are of paramount importance in various social, financial, biological, and engineering systems, since the evolution of such networks can be utilized for example to spot trends, detect anomalies,…

机器学习 · 统计学 2023-02-07 Hang Yu , Songwei Wu , Justin Dauwels

This article presents a new continuous-time modelling framework for multivariate time series of counts which have an infinitely divisible marginal distribution. The model is based on a mixed moving average process driven by L\'{e}vy noise -…

统计方法学 · 统计学 2016-08-11 Almut E. D. Veraart

Using more test-time computation during language model inference, such as generating more intermediate thoughts or sampling multiple candidate answers, has proven effective in significantly improving model performance. This paper takes an…

机器学习 · 计算机科学 2025-08-20 Xingwu Chen , Miao Lu , Beining Wu , Difan Zou

One among several advantages of measure transport methods is that they allow for a unified framework for processing and analysis of data distributed according to a wide class of probability measures. Within this context, we present results…

定量方法 · 定量生物学 2024-05-14 Vanessa Lopez-Marrero , Patrick R. Johnstone , Gilchan Park , Xihaier Luo

We theoretically investigate the phenomena of generalization and memorization in diffusion models. Empirical studies suggest that these phenomena are influenced by model complexity and the size of the training dataset. In our experiments,…

机器学习 · 计算机科学 2025-10-09 Anand Jerry George , Rodrigo Veiga , Nicolas Macris

We apply random matrix theory to study the impact of measurement uncertainty on dynamic mode decomposition. Specifically, when the measurements follow a normal probability density function, we show how the moments of that density propagate…

统计方法学 · 统计学 2025-09-04 P. Algikar , P. Sharma , M. Netto , L. Mili

This work proposes a general framework for capturing noise-driven transitions in spatially extended non-equilibrium systems and explains the emergence of coherent patterns beyond the instability onset. The framework relies on stochastic…

动力系统 · 数学 2024-12-16 Mickaël D. Chekroun , Honghu Liu , James C. McWilliams

The development of mechanistic models of biological systems is a central part of Systems Biology. One major task in developing these models is the inference of the correct model parameters. Due to the size of most realistic models and their…

定量方法 · 定量生物学 2016-06-28 Jan Mikelson , Mustafa Khammash

We investigate the capabilities of neural inverse procedural modeling to infer high-quality procedural yarn models with fiber-level details from single images of depicted yarn samples. While directly inferring all parameters of the…

计算机视觉与模式识别 · 计算机科学 2023-03-02 Elena Trunz , Jonathan Klein , Jan Müller , Lukas Bode , Ralf Sarlette , Michael Weinmann , Reinhard Klein

In tracking of time-varying low-rank models of time-varying matrices, we present a method robust to both uniformly-distributed measurement noise and arbitrarily-distributed ``sparse'' noise. In theory, we bound the tracking error. In…

最优化与控制 · 数学 2020-02-05 Albert Akhriev , Jakub Marecek , Andrea Simonetto
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