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Cooperative interactions among the binding of multiple signaling molecules is a common mechanism for enhancing the sensitivity of biological signaling systems. It is widely assumed that this increase in sensitivity of the mean response…

Molecular Networks · Quantitative Biology 2007-05-23 William Bialek , Sima Setayeshgar

Modern deep neural networks suffer from performance degradation when evaluated on testing data under different distributions from training data. Domain generalization aims at tackling this problem by learning transferable knowledge from…

Computer Vision and Pattern Recognition · Computer Science 2021-05-25 Qinwei Xu , Ruipeng Zhang , Ya Zhang , Yanfeng Wang , Qi Tian

Constructing generative models for functional observations is an important task in statistical functional analysis. In general, functional data contains both phase (or x or horizontal) and amplitude (or y or vertical) variability. Tradi-…

Computation · Statistics 2019-04-26 J. Derek Tucker , Wei Wu , Anuj Srivastava

How does missing data affect our ability to learn signal structures? It has been shown that learning signal structure in terms of principal components is dependent on the ratio of sample size and dimensionality and that a critical number of…

Machine Learning · Statistics 2020-08-12 Niels Bruun Ipsen , Lars Kai Hansen

Spectral amplitude modulation for dual-polarization multi-soliton transmission is considered. We show, that spectral amplitudes become highly correlated during propagation along a noisy fiber link. Thus, joint equalization is generally…

Information Theory · Computer Science 2018-12-12 Alexander Span , Vahid Aref , Henning Buelow , Stephan ten Brink

Genome-wide association analysis has generated much discussion about how to preserve power to detect signals despite the detrimental effect of multiple testing on power. We develop a weighted multiple testing procedure that facilitates the…

Statistics Theory · Mathematics 2007-06-13 Kathryn Roeder , Bernie Devlin , Larry Wasserman

We demonstrate by means of a simple example that the arbitrariness of defining a phase from an aperiodic signal is not just an academic problem, but is more serious and fundamental. Decomposition of the signal into components with positive…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alexander Kraskov , Thomas Kreuz , Ralph G. Andrzejak , Harald Stoegbauer , Walter Nadler , Peter Grassberger

Transitions in the dynamics of complex systems can be characterized by changes in the synchronization behavior of their components. Taking the human cardio-respiratory system as an example and using an automated procedure for screening the…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Ronny Bartsch , Jan W. Kantelhardt , Thomas Penzel , Shlomo Havlin

We propose the use of recurrent neural networks for classifying phases of matter based on the dynamics of experimentally accessible observables. We demonstrate this approach by training recurrent networks on the magnetization traces of two…

Disordered Systems and Neural Networks · Physics 2018-08-22 Evert van Nieuwenburg , Eyal Bairey , Gil Refael

We introduce the concept of phase-synchronous undersampling in nonlinear spectroscopy. The respective theory is presented and validated experimentally in a phase-modulated quantum beat experiment by sampling high phase modulation…

Chemical Physics · Physics 2018-03-14 Lukas Bruder , Marcel Binz , Frank Stienkemeier

Deep neural networks have shown remarkable performance in image classification. However, their performance significantly deteriorates with corrupted input data. Domain generalization methods have been proposed to train robust models against…

Computer Vision and Pattern Recognition · Computer Science 2024-01-22 Ingyun Lee , Wooju Lee , Hyun Myung

We employ a convolutional neural network to explore the distinct phases in random spin systems with the aim to understand the specific features that the neural network chooses to identify the phases. With the energy spectrum normalized to…

Disordered Systems and Neural Networks · Physics 2020-07-24 Rubah Kausar , Wen-Jia Rao , Xin Wan

Research on the localization of the genetic basis associated with diseases or traits has been widely conducted in the last a few decades. Scan methods have been developed for region-based analysis in whole-genome association studies,…

Methodology · Statistics 2024-10-31 Wei Zhang , Fan Wang , Fang Yao

Phase retrieval consists in the recovery of a complex-valued signal from intensity-only measurements. As it pervades a broad variety of applications, many researchers have striven to develop phase-retrieval algorithms. Classical approaches…

We address the problem of efficient phase diagram sampling by adopting active learning techniques from machine learning, and achieve an 80% reduction in the sample size (number of sampled statepoints) needed to establish the phase boundary…

Computational Physics · Physics 2018-03-12 Chengyu Dai , Isaac R. Bruss , Sharon C. Glotzer

We present an approach for the detection of sharp change points (short-lived and persistent) in nonlinear and nonstationary dynamic systems under high levels of noise by tracking the local phase and amplitude synchronization among the…

Data Analysis, Statistics and Probability · Physics 2020-08-04 Ashif Sikandar Iquebal , Satish Bukkapatnam , Arun Srinivasa

We present an approach which enables to identify phase synchronization in coupled chaotic oscillators without having to explicitly measure the phase. We show that if one defines a typical event in one oscillator and then observes another…

Statistical Mechanics · Physics 2009-11-13 T. Pereira , M. S. Baptista , J. Kurths

A mono-component is a real-valued signal of finite energy that has non-negative instantaneous frequencies, which may be defined as the derivative of the phase function of the given real-valued signal through the approach of canonical…

Information Theory · Computer Science 2012-12-18 Qiuhui Chen , Luoqing Li , Yi Wang

In this paper phase of a signal has been viewed from a different angle. According to this view a signal can have countably infinitely many phases, one associated with each Fourier component. In other words each frequency has a phase…

Neurons and Cognition · Quantitative Biology 2008-04-25 Kaushik Majumdar

Time-frequency (T-F) domain masking is a mainstream approach for single-channel speech enhancement. Recently, focuses have been put to phase prediction in addition to amplitude prediction. In this paper, we propose a…

Sound · Computer Science 2019-11-13 Dacheng Yin , Chong Luo , Zhiwei Xiong , Wenjun Zeng