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We introduce a new method to identify phase boundaries in physical systems. It is based on training a predictive model such as a neural network to infer a physical system's parameters from its state. The deviation of the inferred parameters…

Statistical Mechanics · Physics 2019-06-12 Frank Schäfer , Niels Lörch

An important challenge in statistical analysis concerns the control of the finite sample bias of estimators. For example, the maximum likelihood estimator has a bias that can result in a significant inferential loss. This problem is…

Statistics Theory · Mathematics 2019-11-04 Stéphane Guerrier , Mucyo Karemera , Samuel Orso , Maria-Pia Victoria-Feser

We consider dictionary learning and blind calibration for signals and matrices created from a random ensemble. We study the mean-squared error in the limit of large signal dimension using the replica method and unveil the appearance of…

Information Theory · Computer Science 2014-02-04 Florent Krzakala , Marc Mézard , Lenka Zdeborová

We propose a new problem of missing data reconstruction in the time-frequency plane. This problem called phase inpainting, consists in reconstructing a signal from time-frequency observations where all amplitudes and some phases are known…

Signal Processing · Electrical Eng. & Systems 2018-12-12 A. ~Marina Krémé , Valentin Emiya , Caroline Chaux

Predictive maintenance of rotating machinery increasingly relies on vibration signals, yet most learning-based approaches either discard phase during spectral feature extraction or use raw time-waveforms without explicitly leveraging phase…

Machine Learning · Computer Science 2025-12-18 Hiroyoshi Nagahama , Katsufumi Inoue , Masayoshi Todorokihara , Michifumi Yoshioka

In this paper we analyze the effect of the calibration period, or lack of, on self-interference channel estimation in the digital domain of in-band full-duplex radio transceivers. In particular, we consider a scenario where the channel…

Information Theory · Computer Science 2014-09-05 Dani Korpi , Lauri Anttila , Mikko Valkama

One of the most powerful approaches to imaging at the nanometer or subnanometer length scale is coherent diffraction imaging using X-ray sources. For amorphous (non-crystalline) samples, the raw data can be interpreted as the modulus of the…

Numerical Analysis · Mathematics 2020-04-02 Alexander Barnett , Charles L. Epstein , Leslie Greengard , Jeremy Magland

The unavoidable finite time intervals between the sequential operations needed for performing practical quantum computing can degrade the performance of quantum computers. During these delays, unwanted relative dynamical phases are produced…

Quantum Physics · Physics 2009-11-10 L. F. Wei , Franco Nori

The remarkable success in face forgery techniques has received considerable attention in computer vision due to security concerns. We observe that up-sampling is a necessary step of most face forgery techniques, and cumulative up-sampling…

Computer Vision and Pattern Recognition · Computer Science 2021-03-11 Honggu Liu , Xiaodan Li , Wenbo Zhou , Yuefeng Chen , Yuan He , Hui Xue , Weiming Zhang , Nenghai Yu

Let H_n be the hypercube {0,1}^n, and let H_{n,p} denote the same graph with Bernoulli bond percolation with parameter p=n^-\alpha. It is shown that at \alpha=1/2 there is a phase transition for the metric distortion between H_n and…

Probability · Mathematics 2007-05-23 Omer Angel , Itai Benjamini

Phase noise (PN) is a major disturbance in MIMO systems, where the contribution of different oscillators at the transmitter and the receiver side may degrade the overall performance and offset the gains offered by MIMO techniques. This is…

Information Theory · Computer Science 2024-05-14 Alberto Tarable , Francisco J. Escribano

High-quality radio frequency (RF) components are imperative for efficient wireless communication. However, these components can degrade over time and need to be identified so that either they can be replaced or their effects can be…

Signal Processing · Electrical Eng. & Systems 2022-07-06 Mehmet Ali Aygul , Ebubekir Memisoglu , Hakan Ali Cirpan , Huseyin Arslan

Music source separation with deep neural networks typically relies only on amplitude features. In this paper we show that additional phase features can improve the separation performance. Using the theoretical relationship between STFT…

The phase of the transmission amplitude through a mesoscopic system contains information about the system's quantum mechanical state and excitations thereof. In the absence of an external magnetic field, abrupt phase lapses occur between…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Yehuda Dinaii , Yuval Gefen , Bernd Rosenow

Phase transitions mark qualitative reorganizations of collective behavior, yet identifying their boundaries remains challenging whenever analytic solutions are absent and conventional simulations fail. Here we introduce learnability as a…

Materials Science · Physics 2025-10-10 Şener Özönder

In the last five decades, iterative phase retrieval methods draw large amount of interest across the research community as a non-interferometric approach to recover quantitative phase distributions from one (or more) intensity measurement.…

Optics · Physics 2020-07-21 Nathaniel Hai , Joseph Rosen

Quantum sensors based on atom interferometers are advancing both fundamental physics and practical applications, with higher sensitivity being a key requirement for these investigations. Here, we experimentally demonstrate a sensitivity…

Atomic Physics · Physics 2025-07-01 Sotatsu Otabe , Naoki Kaku , Tomoya Sato , Martin Miranda , Takuya Kawasaki , Mikio Kozuma

We find a phase matching condition for enhancement of sensitivity in a Mach-Zehnder interferometer illuminated by an arbitrary state in one input port and an odd(even) state in the other port. Under this condition, the Fisher information…

Quantum Physics · Physics 2013-10-17 Jing Liu , Xiaoxing Jing , Xiaoguang Wang

Realisation of experiments even on small and medium-scale quantum computers requires an optimisation of several parameters to achieve high-fidelity operations. As the size of the quantum register increases, the characterisation of quantum…

Quantum Physics · Physics 2020-08-11 F. Martínez-García , D. Vodola , M. Müller

Fourier phasing is the problem of retrieving Fourier phase information from Fourier intensity data. The standard Fourier phase retrieval (without a mask) is known to have many solutions which cause the standard phasing algorithms to…

Optics · Physics 2015-06-12 Albert Fannjiang , Wenjing Liao