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Although first-order rate constants are basic ingredients of physical chemistry, biochemistry and systems modeling, their innermost nature is derived from complex physical chemistry mechanisms. The present study suggests that equivalent…

Data Analysis, Statistics and Probability · Physics 2013-12-20 Denis Michel

Root cause analysis (RCA) for time-series anomaly detection is critical for the reliable operation of complex real-world systems. Existing explanation methods often rely on unrealistic feature perturbations and ignore temporal and…

Machine Learning · Computer Science 2026-04-21 Shashank Mishra , Karan Patil , Cedric Schockaert , Didier Stricker , Jason Rambach

In this paper we address the complexity of solving linear programming problems with a set of differential equations that converge to a fixed point that represents the optimal solution. Assuming a probabilistic model, where the inputs are…

Computational Complexity · Computer Science 2007-05-23 Asa Ben-Hur , Joshua Feinberg , Shmuel Fishman , Hava T. Siegelmann

Recent optical flow estimation methods often employ local cost sampling from a dense all-pairs correlation volume. This results in quadratic computational and memory complexity in the number of pixels. Although an alternative…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Karlis Martins Briedis , Markus Gross , Christopher Schroers

Existing image recognition techniques based on convolutional neural networks (CNNs) basically assume that the training and test datasets are sampled from i.i.d distributions. However, this assumption is easily broken in the real world…

Computer Vision and Pattern Recognition · Computer Science 2025-12-03 Kazuki Adachi , Shin'ya Yamaguchi

We propose a strategy for optimizing a sensor trajectory in order to estimate the time dependence of a localized scalar source in turbulent channel flow. The approach leverages the view of the adjoint scalar field as the sensitivity of…

Computational Engineering, Finance, and Science · Computer Science 2022-02-21 Constantinos F. Panagiotou , Davide Cerizza , Tamer A. Zaki , Yosuke Hasegawa

In this article we consider the nonparametric robust estimation problem for regression models in continuous time with semi-Markov noises observed in discrete time moments. An adaptive model selection procedure is proposed. A sharp…

Statistics Theory · Mathematics 2020-05-15 Vlad Stefan Barbu , Slim Beltaief , Serguei Pergamenshchikov

Relative impulse responses between microphones are usually long and dense due to the reverberant acoustic environment. Estimating them from short and noisy recordings poses a long-standing challenge of audio signal processing. In this paper…

Sound · Computer Science 2016-11-17 Zbynek Koldovsky , Jiri Malek , Sharon Gannot

Chirped coherent Rayleigh-Brillouin scattering (CRBS) is a flow diagnostic technique that offers high signal-to-noise ratios and nanosecond temporal resolution. To extract information of dilute gas flow, experimental spectra must be…

Fluid Dynamics · Physics 2025-10-14 Lei Wu

Higher order correlation measurements involve multiple event averages which must run over unequal events to avoid statistical bias. We derive correction formulas for small event samples, where the bias is largest, and utilize the results to…

High Energy Physics - Experiment · Physics 2009-10-22 H. C. Eggers , P. Lipa

Dynamic conditional correlation (DCC) is a method that estimates the correlation between two time series across time. Although used primarily in finance so far, DCC has been proposed recently as a model-based estimation method for…

Applications · Statistics 2020-06-05 Aparna John , Toshikazu Ikuta , Janina D Ferbinteanu , Majnu John

Face restoration can be formulated as a continuous-time transformation between image distributions via Flow Matching (FM). However, standard FM typically employs independent coupling, ignoring the statistical correlation between low-quality…

Computer Vision and Pattern Recognition · Computer Science 2026-04-09 Xiaohui Sun , Hanlin Wu

Relative temporal-difference (TD) learning was introduced to mitigate the slow convergence of TD methods when the discount factor approaches one by subtracting a baseline from the temporal-difference update. While this idea has been studied…

Machine Learning · Computer Science 2026-04-08 Masoud S. Sakha , Rushikesh Kamalapurkar , Sean Meyn

In this paper, we propose a price staleness factor model that accounts for pervasive market friction across assets and incorporates relevant covariates. Using large-panel high-frequency data, we derive the maximum likelihood estimators of…

Statistics Theory · Mathematics 2026-04-07 Xinbing Kong , Bin Wu , Wuyi Ye

Statistical static timing analysis deals with the increasing variations in manufacturing processes to reduce the pessimism in the worst case timing analysis. Because of the correlation between delays of circuit components, timing model…

Hardware Architecture · Computer Science 2017-05-16 Bing Li , Ning Chen , Manuel Schmidt , Walter Schneider , Ulf Schlichtmann

Functional time series analysis, whether based on time of frequency domain methodology, has traditionally been carried out under the assumption of complete observation of the constituent series of curves, assumed stationary. Nevertheless,…

Methodology · Statistics 2020-04-02 Tomáš Rubín , Victor M. Panaretos

A temporal point process is a mathematical model for a time series of discrete events, which covers various applications. Recently, recurrent neural network (RNN) based models have been developed for point processes and have been found…

Machine Learning · Computer Science 2020-01-13 Takahiro Omi , Naonori Ueda , Kazuyuki Aihara

In machine learning it is common to interpret each data point as a vector in Euclidean space. However the data may actually be functional i.e.\ each data point is a function of some variable such as time and the function is discretely…

Computer Vision and Pattern Recognition · Computer Science 2017-04-14 Stephen Tierney , Junbin Gao , Yi Guo , Zheng Zhang

We introduce fundamental bounds on achievable cumulative rate distribution functions (CRDF) to characterize a sequential encoding process that ensures lossless or lossy reconstruction subject to an average distortion criterion using a…

Information Theory · Computer Science 2021-08-31 Hamid Ghourchian , Photios A. Stavrou , Tobias J. Oechtering , Mikael Skoglund

Causal discovery from observational data is an important tool in many branches of science. Under certain assumptions it allows scientists to explain phenomena, predict, and make decisions. In the large sample limit, sound and complete…

Machine Learning · Statistics 2021-07-13 Shami Nisimov , Yaniv Gurwicz , Raanan Y. Rohekar , Gal Novik