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We develop a timescale synthesis-based probabilistic approach for the modeling of locally stationary signals. Inspired by our previous work, the model involves zero-mean, complex Gaussian wavelet coefficients, whose distribution varies as a…

Statistics Theory · Mathematics 2020-02-10 Adrien Meynard , Bruno Torrésani

We study a modified version of the stochastic susceptible-infected-refractory-susceptible (SIRS) model by employing a nonlinear (exponential) reinforcement in the contagion rate and no diffusion. We run simulations for complete and random…

Cellular Automata and Lattice Gases · Physics 2009-12-08 Vladimir R. V. Assis , Mauro Copelli

This paper considers inference on functionals of semi/nonparametric conditional moment restrictions with possibly nonsmooth generalized residuals, which include all of the (nonlinear) nonparametric instrumental variables (IV) as special…

Statistics Theory · Mathematics 2018-01-04 Xiaohong Chen , Demian Pouzo

The phase retrieval problem in the presence of noise aims to recover the signal vector of interest from a set of quadratic measurements with infrequent but arbitrary corruptions, and it plays an important role in many scientific…

Machine Learning · Statistics 2024-09-04 Zhong Zheng , Lingzhou Xue

Spin and polarization are central to precision tests of fundamental physics and for interpreting radiation from astrophysical sources and ultraintense laser-matter experiments. Predictive modeling therefore requires not only energy spectra,…

High Energy Physics - Phenomenology · Physics 2026-03-13 Samuele Montefiori , Antonino Di Piazza , Tobias Podszus , Christoph H. Keitel , Matteo Tamburini

State-space models (SSMs) are a highly expressive model class for learning patterns in time series data and for system identification. Deterministic versions of SSMs (e.g. LSTMs) proved extremely successful in modeling complex time series…

We theoretically investigate the generation of non-Gaussian quantum states, specifically Schr\"odinger cat-like states (SCLSs), via degenerate dual-pump spontaneous four-wave mixing in a $\chi^{(3)}$-based microring resonator. By…

Quantum Physics · Physics 2026-04-17 Ranjit Singh , Alexander E. Teretenkov

The state of a non-relativistic gravitational dynamical system is known at any time $t$ if the dynamical rule, i.e. Newton's equations of motion, can be solved; this requires specification of the gravitational potential. The evolution of a…

Statistics Theory · Mathematics 2009-05-18 Dalia Chakrabarty

Existing cellular network analyses, and even simulations, typically use the standard path loss model where received power decays like $\|x\|^{-\alpha}$ over a distance $\|x\|$. This standard path loss model is quite idealized, and in most…

Information Theory · Computer Science 2015-03-17 Xinchen Zhang , Jeffrey G. Andrews

Phase retrieval (PR) is an inverse problem about recovering a signal from phaseless linear measurements. This problem can be effectively solved by minimizing a nonconvex amplitude-based loss function. However, this loss function is…

Signal Processing · Electrical Eng. & Systems 2020-07-24 Q. Luo , H. Wang

We study the problem of stabilizing an unknown partially observable linear time-invariant (LTI) system. For fully observable systems, leveraging an unstable/stable subspace decomposition approach, state-of-art sample complexity is…

Systems and Control · Electrical Eng. & Systems 2025-03-24 Ziyi Zhang , Yorie Nakahira , Guannan Qu

Bandpass signals are an important sub-class of bandlimited signals that naturally arise in a number of application areas but their high-frequency content poses an acquisition challenge. Consequently, "Bandpass Sampling Theory" has been…

Information Theory · Computer Science 2023-07-12 Gal Shtendel , Dorian Florescu , Ayush Bhandari

We present a novel approach for the integration of scattering cross sections and the generation of partonic event samples in high-energy physics. We propose an importance sampling technique capable of overcoming typical deficiencies of…

High Energy Physics - Phenomenology · Physics 2020-04-29 Enrico Bothmann , Timo Janßen , Max Knobbe , Tobias Schmale , Steffen Schumann

This paper investigates some theoretical properties of the Partial Least Square (PLS) method. We focus our attention on the single component case, that provides a useful framework to understand the underlying mechanism. We provide a…

Statistics Theory · Mathematics 2023-10-17 Luca Castelli , Clément Marteau , Irène Gannaz

In this paper, we try to further demonstrate that the models of random CSP instances proposed by [Xu and Li, 2000; 2003] are of theoretical and practical interest. Indeed, these models, called RB and RD, present several nice features.…

Artificial Intelligence · Computer Science 2016-08-31 Ke Xu , Frederic Boussemart , Fred Hemery , Christophe Lecoutre

In a previous paper, the author constructed frames and oversampling formulas for band-limited functions, in the framework of the theory of shift-invariant spaces. In this article we study the problem of recovering missing samples. We find a…

Functional Analysis · Mathematics 2009-01-17 Vincenza Del Prete

In this paper the problem of restoration of non-negative sparse signals is addressed in the Bayesian framework. We introduce a new probabilistic hierarchical prior, based on the Generalized Hyperbolic (GH) distribution, which explicitly…

Signal Processing · Electrical Eng. & Systems 2021-02-12 Mehdi Chahine Amrouche , Hervé Carfantan , Jérôme Idier

Deep generative models are powerful priors for imaging inverse problems, but training-free solvers for latent flow models face a practical finite-step trade-off. Optimization-heavy methods quickly improve measurement consistency, but in…

Machine Learning · Computer Science 2026-05-13 Jonghyun Park , Jong Chul Ye

Variable and higher pulse repetition frequencies (PRFs) are increasingly being used to meet the stricter requirements and complexities of current airborne and spaceborne synthetic aperture radar (SAR) systems associated with higher…

Computational Engineering, Finance, and Science · Computer Science 2017-05-24 Yoangel Torres , Kamal Premaratne , Falk Amelung , Shimon Wdowinski

Reconfigurable intelligent surface (RIS)-assisted communications recently appeared as a game-changing technology for next-generation wireless communications due to its unprecedented ability to reform the propagation environment. One of the…

Information Theory · Computer Science 2022-08-23 Aymen Khaleel , Ertugrul Basar