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Deep learning, due to its unprecedented success in tasks such as image classification, has emerged as a new tool in image reconstruction with potential to change the field. In this paper we demonstrate a crucial phenomenon: deep learning…

Computer Vision and Pattern Recognition · Computer Science 2020-05-13 Vegard Antun , Francesco Renna , Clarice Poon , Ben Adcock , Anders C. Hansen

Noise is an important factor that influences the reliability of information acquisition, transmission, processing, and storage. In order to suppress the inevitable noise effects, a fault-tolerant information processing approach via quantum…

Quantum Physics · Physics 2026-03-27 Qi Song , Hongjing Li , Chengxi Yu , Jingzheng Huang , Ding Wang , Peng Huang , Guihua Zeng

Chaos is popularly associated with its property of sensitivity to initial conditions. In this paper we will show that there can be a flip side to this property which is quite fascinating and highly useful in many applications. As a result,…

Chaotic Dynamics · Physics 2009-05-05 Prabhakar G. Vaidya

When an experimentalist measures a time series of qubits, the outcomes generate a classical stochastic process. We show that measurement induces high complexity in these processes in two specific senses: they are inherently unpredictable…

Quantum Physics · Physics 2020-10-14 Ariadna E. Venegas-Li , Alexandra M. Jurgens , James P. Crutchfield

Machine-learning techniques have been recently used with spectacular results to generate artefacts such as music or text. However, these techniques are still unable to capture and generate artefacts that are convincingly structured. In this…

Artificial Intelligence · Computer Science 2017-03-03 Pierre Roy , Alexandre Papadopoulos , François Pachet

Radio astronomical observations have very poor signal to noise ratios, unlike in other disciplines. On the other hand, it is possible to observe the object of interest for long time intervals as well as using a wider bandwidth.…

Astrophysics · Physics 2008-09-02 Sarod Yatawatta

Specify a randomized algorithm that, given a very large graph or network, extracts a random subgraph. What can we learn about the input graph from a single subsample? We derive laws of large numbers for the sampler output, by relating…

Statistics Theory · Mathematics 2017-10-13 Peter Orbanz

In many applications, the observations can be represented as a signal defined over the vertices of a graph. The analysis of such signals requires the extension of standard signal processing tools. In this work, first, we provide a class of…

Discrete Mathematics · Computer Science 2016-08-24 Mikhail Tsitsvero , Sergio Barbarossa , Paolo Di Lorenzo

Departing from traditional communication theory where decoding algorithms are assumed to perform without error, a system where noise perturbs both computational devices and communication channels is considered here. This paper studies…

Information Theory · Computer Science 2010-05-31 Lav R. Varshney

In this paper, we consider multiple signals sharing same instantaneous frequencies. This kind of data is very common in scientific and engineering problems. To take advantage of this special structure, we modify our data-driven…

Information Theory · Computer Science 2015-07-09 Thomas Y. Hou , Zuoqiang Shi

Noise is often brought to host audio by common signal processing operation, and it usually changes the high-frequency component of an audio signal. So embedding watermark by adjusting low-frequency coefficient can improve the robustness of…

Multimedia · Computer Science 2017-04-11 Jinquan Zhang , Bin Han

A recurrent neural network with noisy input is studied analytically, on the basis of a Discrete Time Master Equation. The latter is derived from a biologically realizable learning rule for the weights of the connections. In a numerical…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Heerema , W. A. van Leeuwen

Extracting relevant properties of empirical signals generated by nonlinear, stochastic, and high-dimensional systems is a challenge of complex systems research. Open questions are how to differentiate chaotic signals from stochastic ones,…

Data Analysis, Statistics and Probability · Physics 2021-07-08 B. R. R. Boaretto , R. C. Budzinski , K. L. Rossi , T. L. Prado , S. R. Lopes , C. Masoller

Conditional normalizing flows can generate diverse image samples for solving inverse problems. Most normalizing flows for inverse problems in imaging employ the conditional affine coupling layer that can generate diverse images quickly.…

Computer Vision and Pattern Recognition · Computer Science 2023-03-17 Seongmin Hong , Inbum Park , Se Young Chun

Noise shaping refers to an analog-to-digital conversion methodology in which quantization error is arranged to lie mostly outside the signal spectrum by means of oversampling and feedback. Recently it has been successfully applied to more…

Information Theory · Computer Science 2015-02-23 Evan Chou , C. Sinan Güntürk , Felix Krahmer , Rayan Saab , Özgür Yılmaz

In noisy evolutionary optimization, sampling is a common strategy to deal with noise. By the sampling strategy, the fitness of a solution is evaluated multiple times (called \emph{sample size}) independently, and its true fitness is then…

Neural and Evolutionary Computing · Computer Science 2022-11-29 Chao Qian , Chao Bian , Yang Yu , Ke Tang , Xin Yao

In event-based sensing, many sensors independently and asynchronously emit events when there is a change in their input. Event-based sensing can present significant improvements in power efficiency when compared to traditional sampling,…

Image and Video Processing · Electrical Eng. & Systems 2022-01-19 Karen Adam , Adam Scholefield , Martin Vetterli

Reconstruction of undersampled periodic signals of unknown period is an important signal processing operation. It is especially difficult operation when the sequences of samples are short and no information on the inter-sequence time…

Signal Processing · Electrical Eng. & Systems 2021-05-18 Marek W. Rupniewski

Speech enhancement attenuates interfering sounds in speech signals but may introduce artifacts that perceivably deteriorate the output signal. We propose a method for controlling the trade-off between the attenuation of the interfering…

Audio and Speech Processing · Electrical Eng. & Systems 2021-07-23 Christian Uhle , Matteo Torcoli , Jouni Paulus

By using finite resolution measurements it is possible to simultaneously obtain noisy information on two non-commuting polarization components of a single photon. This method can be applied to a pair of entangled photons with polarization…

Quantum Physics · Physics 2007-05-23 Holger F. Hofmann