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Super oscillating signals are band limited signals that oscillate in some region faster than their largest Fourier component. Such signals have many obvious scientific and technological applications, yet their practical use is strongly…

Data Analysis, Statistics and Probability · Physics 2014-02-18 Moshe Schwartz , Ehud Perlsman

Superoscillating signals are band--limited signals that oscillate in some region faster their largest Fourier component. While such signals have many scientific and technological applications, their actual use is hampered by the fact that…

Quantum Physics · Physics 2013-08-01 Eytan Katzav , Moshe Schwartz

The phenomenon of superoscillation, where band limited signals can oscillate over some time period with a frequency higher than the band limit, is not only very interesting but it also seems to offer many practical applications. The first…

Data Analysis, Statistics and Probability · Physics 2014-02-18 Nehemia Schwartz , Moshe Schwartz

Intelligent reflecting surfaces (IRSs) were introduced to enhance the performance of wireless systems. However, from a cellular service provider's view, a concern with the use of an IRS is its effect on out-of-band (OOB) quality of service.…

Information Theory · Computer Science 2024-09-17 L. Yashvanth , Chandra R. Murthy

Understanding when and why interpolating methods generalize well has recently been a topic of interest in statistical learning theory. However, systematically connecting interpolating methods to achievable notions of optimality has only…

Machine Learning · Statistics 2021-10-22 Eduard Oravkin , Patrick Rebeschini

Being able to efficiently obtain an accurate estimate of the failure probability of SRAM components has become a central issue as model circuits shrink their scale to submicrometer with advanced technology nodes. In this work, we revisit…

Machine Learning · Computer Science 2023-08-01 Yanfang Liu , Guohao Dai , Wei W. Xing

Intelligent reflecting surfaces (IRSs) were introduced to enhance the performance of wireless communication systems. However, from a service provider's viewpoint, a concern with the use of an IRS is its effect on out-of-band (OOB) quality…

Information Theory · Computer Science 2024-06-12 L. Yashvanth , Chandra R. Murthy

We show that the dipole, a system usually proposed to model relaxation phenomena, exhibits a maximum in the signal-to-noise ratio at a non-zero noise level, thus indicating the appearance of stochastic resonance. The phenomenon occurs in…

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

We examine the necessity of interpolation in overparameterized models, that is, when achieving optimal predictive risk in machine learning problems requires (nearly) interpolating the training data. In particular, we consider simple…

Machine Learning · Statistics 2022-06-17 Chen Cheng , John Duchi , Rohith Kuditipudi

This paper deals with input/output-to-state stability (IOSS) of switched nonlinear systems whose switching signals obey pre-specified restrictions on admissible switches between the subsystems and admissible dwell times on the subsystems.…

Systems and Control · Electrical Eng. & Systems 2024-04-04 Atreyee Kundu

Superoscillatory wave forms, i.e., waves that locally oscillate faster than their highest Fourier component, possess unusual properties that make them of great interest from quantum mechanics to signal processing. However, the more…

Mathematical Physics · Physics 2016-08-03 Eugene Tang , Lovneesh Garg , Achim Kempf

The present work provides two alternatives to formulate time-discounted incremental input/output-to-state stability (i-IOSS) as a suitable detectability notion for general nonlinear systems with non-additive disturbances. Both formulations…

Systems and Control · Electrical Eng. & Systems 2020-05-01 Sven Knuefer , Matthias A. Mueller

Intelligent reflecting surface (IRS) is envisioned to be a promising solution for designing spectral and energy efficient wireless systems. In this letter, we study a multi-IRS-assisted system under Rician fading where the phase shifts…

Information Theory · Computer Science 2019-09-17 Zijian Zhang , Ying Cui , Feng Yang , Lianghui Ding

When fitting a generalized linear model -- such as a linear regression, a logistic regression, or a hierarchical linear model -- analysts often wonder how to handle missing values of the dependent variable Y. If missing values have been…

Methodology · Statistics 2017-03-27 Paul T. von Hippel

We consider a logistic differential equation subject to impulsive delayed harvesting, where the deduction information is a function of the population size at the time of one of the previous impulses. A close connection to the dynamics of…

Dynamical Systems · Mathematics 2022-10-13 Jennifer Lawson , Elena Braverman

This paper demonstrates a methodology for examining the accuracy of uncertain inference systems (UIS), after their parameters have been optimized, and does so for several common UIS's. This methodology may be used to test the accuracy when…

Artificial Intelligence · Computer Science 2013-04-11 Ben P. Wise

Faster than Nyquist signaling increases the spectral efficiency of pulse amplitude modulation by accepting intersymbol interference, where an equalizer is needed at the receiver. Since the complexity of an optimal equalizer increases…

Signal Processing · Electrical Eng. & Systems 2023-01-13 Youssef Jaffal , Alex Alvarado

Amorphous solids yield at a critical value of the strain (in strain controlled experiments); for larger strains the average stress can no longer increase - the system displays an elasto-plastic steady state. A long standing riddle in the…

Soft Condensed Matter · Physics 2016-02-24 Prabhat Jaiswal , Itamar Procaccia , Corrado Rainone , Murari Singh

Operating frequency of a pipelined circuit is determined by the delay of the slowest pipeline stage. However, under statistical delay variation in sub-100nm technology regime, the slowest stage is not readily identifiable and the estimation…

Hardware Architecture · Computer Science 2011-11-09 Animesh Datta , Swarup Bhunia , Saibal Mukhopadhyay , Nilanjan Banerjee , Kaushik Roy

Signaling is wasteful. But how wasteful? We study the fraction of surplus dissipated in a separating equilibrium. For isoelastic environments, this waste ratio has a simple formula: $\beta/(\beta+\sigma)$, where $\beta$ is the benefit…

General Economics · Economics 2026-04-17 Alex Frankel , Navin Kartik
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