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A number of popular measures of dependence between pairs of band-limited signals rely on analytic phase. A common misconception is that the dependence revealed by these measures must be specific to the spectral range of the filtered input…

Neurons and Cognition · Quantitative Biology 2018-03-26 Christopher K. Kovach

Collective oscillation of cells in a population has been reported under diverse biological contexts and with vastly different molecular constructs. Could there be common principles similar to those that govern spontaneous oscillation in…

Cell Behavior · Quantitative Biology 2019-07-08 Shou-Wen Wang , Lei-Han Tang

Phase retrieval is in general a non-convex and non-linear task and the corresponding algorithms struggle with the issue of local minima. We consider the case where the measurement samples within typically very small and disconnected subsets…

Signal Processing · Electrical Eng. & Systems 2022-06-28 Jonas Kornprobst , Alexander Paulus , Josef Knapp , Thomas F. Eibert

Broadband energy-time entanglement can be used to enhance the rate of two-photon absorption (TPA) by combining a precise two-photon resonance with a very short coincidence time. Because of this short coincidence time, broadband TPA is not…

Quantum Physics · Physics 2023-12-04 Baihong Li , Holger F. Hofmann

Models of sensory processing and learning in the cortex need to efficiently assign credit to synapses in all areas. In deep learning, a known solution is error backpropagation, which however requires biologically implausible weight…

Neurons and Cognition · Quantitative Biology 2024-02-05 Kevin Max , Laura Kriener , Garibaldi Pineda García , Thomas Nowotny , Ismael Jaras , Walter Senn , Mihai A. Petrovici

Deep learning with noisy labels presents significant challenges. In this work, we theoretically characterize the role of label noise from a feature learning perspective. Specifically, we consider a signal-noise data distribution, where each…

Machine Learning · Statistics 2025-05-27 Andi Han , Wei Huang , Zhanpeng Zhou , Gang Niu , Wuyang Chen , Junchi Yan , Akiko Takeda , Taiji Suzuki

Several experimental results show that it is possible to extract useful phase information from reflected GPS signals over the oceans. In this work we begin the development of the theoretical background to account for these results and fully…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Giulio Ruffini i Fores , Francois Soulat

Spontaneous synchronisation is a collective phenomenon that can occur in both dynamical classical and quantum systems. Here, we analyse the spontaneous synchronisation dynamics of vibrations assisting energy transfer in a bio-inspired…

Quantum Physics · Physics 2020-09-30 Stefan Siwiak-Jaszek , Thao P. Le , Alexandra Olaya-Castro

Neural networks produced by standard training are known to suffer from poor accuracy on rare subgroups despite achieving high accuracy on average, due to the correlations between certain spurious features and labels. Previous approaches…

Machine Learning · Computer Science 2024-04-10 Gaotang Li , Jiarui Liu , Wei Hu

The evolution of symbolic communication is a longstanding open research question in biology. While some theories suggest that it originated from sub-symbolic communication (i.e., iconic or indexical), little experimental evidence exists on…

Neural and Evolutionary Computing · Computer Science 2021-04-01 Quintino Francesco Lotito , Leonardo Lucio Custode , Giovanni Iacca

We propose and verify the use of the power spectral density of the FM noise spectrum to study the phase noise relationship between the four-wave mixing components.

Damped sinusoidal oscillations are widely observed in many physical systems, and their analysis provides access to underlying physical properties. However, parameter estimation becomes difficult when the signal decays rapidly, multiple…

Machine Learning · Computer Science 2026-04-07 Momoka Iida , Hayato Motohashi , Hirotaka Takahashi

Calibration can reduce overconfident predictions of deep neural networks, but can calibration also accelerate training? In this paper, we show that it can when used to prioritize some examples for performing subset selection. We study the…

Machine Learning · Computer Science 2022-11-17 Ganesh Tata , Gautham Krishna Gudur , Gopinath Chennupati , Mohammad Emtiyaz Khan

The abundance of functional observations in scientific endeavors has led to a significant development in tools for functional data analysis (FDA). This kind of data comes with several challenges: infinite-dimensionality of function spaces,…

Methodology · Statistics 2015-12-11 J. S. Marron , James O. Ramsay , Laura M. Sangalli , Anuj Srivastava

Cross-subject generalization in biomedical time-series refers to training on data from some subjects and testing on unseen subjects.The key challenge is to suppress subject specific variability in BTS representations.Most existing methods…

Machine Learning · Computer Science 2026-05-27 Guikang Du , Haoran Li , Xinyu Liu , Zhibo Zhang , Xiaoli Gong , Jin Zhang

We investigate the phase transitions in a one-dimensional system with colored noise. Previous studies indicated that the phase diagram of this system included extended and disorder-induced localized phases. However, by studying the…

Disordered Systems and Neural Networks · Physics 2025-03-28 Xingbo Wei , Kewei Feng , Tian-Cheng Yi , Tong Liu , Gao Xianlong , Yunbo Zhang

We present a class of systems for which the signal-to-noise ratio as a function of the noise level may display a multiplicity of maxima. This phenomenon, referred to as stochastic multiresonance, indicates the possibility that periodic…

Condensed Matter · Physics 2016-08-15 J. M. G. Vilar , J. M. Rubí

Bistability generated via a pure noise-induced phase transition is reexamined from the view of bifurcations in macroscopic cumulant dynamics. It allows an analytical study of the phase diagram in more general cases than previous methods. In…

Statistical Mechanics · Physics 2007-05-23 R. Kawai , X. Sailer , L. Schimansky-Geier , C. Van den Broeck

Pattern recognition is a fundamental task in continuous sensing applications, but real-world scenarios often experience distribution shifts that necessitate learning generalizable representations for such tasks. This challenge is…

Machine Learning · Computer Science 2025-10-23 Payal Mohapatra , Lixu Wang , Qi Zhu

Many real-life signals, such as gravitational wave measurements, biomedical signals, or geophysical data, are strongly non-stationary but can be decomposed into mono-component signals that contain only one active frequency over time. This…

Signal Processing · Electrical Eng. & Systems 2026-04-17 Jayanth Mouli , David Anderson , Antonio Cicone