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Deep neural network-based time series prediction models have recently demonstrated superior capabilities in capturing complex temporal dependencies. However, it is challenging for these models to account for uncertainty associated with…

Machine Learning · Computer Science 2025-12-01 Linghao Kong , Xiaopeng Hong

This paper proposes a regularized pairwise difference approach for estimating the linear component coefficient in a partially linear model, with consistency and exact rates of convergence obtained in high dimensions under mild scaling…

Statistics Theory · Mathematics 2018-01-15 Fang Han , Zhao Ren , Yuxin Zhu

Intra prediction is an essential component in the image coding. This paper gives an intra prediction framework completely based on neural network modes (NM). Each NM can be regarded as a regression from the neighboring reference blocks to…

Image and Video Processing · Electrical Eng. & Systems 2021-08-06 Heming Sun , Lu Yu , Jiro Katto

Modeling and simulating a power distribution network (PDN) for printed circuit boards (PCBs) with irregular board shapes and multi-layer stackup is computationally inefficient using full-wave simulations. This paper presents a new concept…

Machine Learning · Computer Science 2021-06-22 Ling Zhang , Jack Juang , Zurab Kiguradze , Bo Pu , Shuai Jin , Songping Wu , Zhiping Yang , Chulsoon Hwang

We propose an optimistic estimate to evaluate the best possible fitting performance of nonlinear models. It yields an optimistic sample size that quantifies the smallest possible sample size to fit/recover a target function using a…

Machine Learning · Computer Science 2023-07-19 Yaoyu Zhang , Zhongwang Zhang , Leyang Zhang , Zhiwei Bai , Tao Luo , Zhi-Qin John Xu

We propose a framework for the derivation and evaluation of distributed iterative algorithms for receiver cooperation in interference-limited wireless systems. Our approach views the processing within and collaboration between receivers as…

Information Theory · Computer Science 2012-04-18 Mihai-Alin Badiu , Carles Navarro Manchón , Vasile Bota , Bernard Henri Fleury

Through a physical layer simulation study we highlight that the coherent accumulation of nonlinear interference becomes non-negligible for optical networks operating within high symbol rate transmission scenarios. This initiates a…

Signal Processing · Electrical Eng. & Systems 2020-12-04 Elliot London , Emanuele Virgillito , Andrea D'Amico , Antonio Napoli , Vittorio Curri

The statistical properties of nonlinear phase noise, often called the Gordon-Mollenauer effect, is studied analytically when the number of fiber spans is very large. The joint characteristic functions of the nonlinear phase noise with…

Optics · Physics 2007-05-23 Keang-Po Ho

Accurate quantification of uncertainty in neural network predictions remains a central challenge for scientific applications involving high-dimensional, correlated data. While existing methods capture either aleatoric or epistemic…

Machine Learning · Computer Science 2025-08-26 Harrison J. Goldwyn , Mitchell Krock , Johann Rudi , Daniel Getter , Julie Bessac

Symbolic regression is a nonlinear regression method which is commonly performed by an evolutionary computation method such as genetic programming. Quantification of uncertainty of regression models is important for the interpretation of…

Machine Learning · Computer Science 2022-09-15 Fabricio Olivetti de Franca , Gabriel Kronberger

We propose a paradigmatic model system, a subcritical Hopf normal form subjected to noise and time-delayed feedback, to investigate the impact of time delay on coherence resonance in non-excitable systems. We develop analytical tools to…

Adaptation and Self-Organizing Systems · Physics 2014-12-08 Paul M. Geffert , Anna Zakharova , Andrea Vüllings , Wolfram Just , Eckehard Schöll

In this paper we present a differential approach to photo-polarimetric shape estimation. We propose several alternative differential constraints based on polarisation and photometric shading information and show how to express them in a…

Computer Vision and Pattern Recognition · Computer Science 2017-08-28 Silvia Tozza , William A. P. Smith , Dizhong Zhu , Ravi Ramamoorthi , Edwin R. Hancock

This work introduces a probabilistic-based model for binary CSP that provides a fine grained analysis of its internal structure. Assuming that a domain modification could occur in the CSP, it shows how to express, in a predictive way, the…

Artificial Intelligence · Computer Science 2016-06-14 Amine Balafrej , Xavier Lorca , Charlotte Truchet

A sparse Dirichlet prior is proposed for estimating the abundance vector of hyperspectral images with a nonlinear mixing model. This sparse prior is led to an unmixing procedure in a semi-supervised scenario in which exact materials are…

Signal Processing · Electrical Eng. & Systems 2018-03-08 Fahime Amiri , Mohammad Hossein Kahaei

We leverage proof techniques Fourier analysis and an existing result in coding theory to derive new bounds for the problem of non-interactive simulation of binary random variables. Previous bounds in the literature were derived by applying…

Information Theory · Computer Science 2021-01-26 Lei Yu , Vincent Y. F. Tan

By tailoring probabilistic constellation shaping (PCS) for nonlinearity tolerance, we experimentally demonstrate up to 1.1 dB increase in signal-to-noise ratio (SNR) and 6.4% increase in total net data rate (NDR) compared to…

Signal Processing · Electrical Eng. & Systems 2020-12-10 Junho Cho , Xi Chen , Greg Raybon , Di Che , Ellsworth Burrows , Robert Tkach

There have been significant recent advances in our understanding of the potential use and limitations of early-warning signs for predicting drastic changes, so called critical transitions or tipping points, in dynamical systems. A focus of…

Pattern Formation and Solitons · Physics 2015-03-06 Karna Gowda , Christian Kuehn

Deep structured models are widely used for tasks like semantic segmentation, where explicit correlations between variables provide important prior information which generally helps to reduce the data needs of deep nets. However, current…

Machine Learning · Computer Science 2018-11-02 Colin Graber , Ofer Meshi , Alexander Schwing

A low-complexity model for signal quality prediction in a nonlinear fiber-optical network is developed. The model, which builds on the Gaussian noise model, takes into account the signal degradation caused by a combination of chromatic…

Optics · Physics 2015-01-07 Pontus Johannisson , Erik Agrell

An optical gateway to convert four-level pulse amplitude modulation to quadrature phase shift keying modulation format having shaping gain was proposed for flexible intensity to phase mapping which exploits non-uniform phase noise. The…

Signal Processing · Electrical Eng. & Systems 2022-04-06 Takahiro Kodama , Toshiaki Koike-Akino , David S. Millar , Keisuke Kojima , Kieran Parsons
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