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Sign information is the key to overcoming the inevitable saturation error in compressive sensing systems, which causes information loss and results in bias. For sparse signal recovery from saturation, we propose to use a linear loss to…

Information Theory · Computer Science 2021-02-02 Fan He , Xiaolin Huang , Yipeng Liu , Ming Yan

A common first step in time series signal analysis involves digitally filtering the data to remove linear correlations. The residual data is spectrally white (it is ``bleached''), but in principle retains the nonlinear structure of the…

comp-gas · Physics 2009-10-22 James Theiler , Stephen Eubank

Allocation of spectrum is an important policy issue and decisions taken have ramifications for future growth of wireless communications and achieving universal connectivity. In this paper, on a common footing we compare the social welfare…

Networking and Internet Architecture · Computer Science 2013-07-23 Vijay G. Subramanian , Mike Honig , Randy Berry

Vibration is an efficient way of conveying information from a device to its user, and it is increasingly used for wrist or finger-worn devices such as smart rings. Unexpected vibrations or sounds from the environment may disrupt the…

Human-Computer Interaction · Computer Science 2020-03-23 Christopher L. Asplund , Takashi Obana , Parag Bhatnagar , Xun Quan Koh , Simon T. Perrault

We explore scaling relations for the information carried by individual events, and how that information accumulates in catalogs like those from ground-based gravitational-wave detectors. For a variety of situations, the larger number of…

General Relativity and Quantum Cosmology · Physics 2024-07-17 Reed Essick , Daniel E. Holz

Cells sense and predict their environment via energy-dissipating pathways. However, it is unclear whether dissipation helps or harms prediction. Here we study dissipation and prediction for a minimal sensory module of receptors that…

Molecular Networks · Quantitative Biology 2013-12-20 Nils B. Becker , Andrew Mugler , Pieter Rein ten Wolde

Cooperativity arising from local interactions in equilibrium receptor systems provides gain, but does not increase sensory performance, as measured by the signal-to-noise ratio (SNR) due to a fundamental tradeoff between gain and intrinsic…

Molecular Networks · Quantitative Biology 2013-07-12 Monica Skoge , Sahin Naqvi , Yigal Meir , Ned S. Wingreen

The appearance of nonlinear effects in elastic wave propagation is one of the most reliable and sensitive indicators of the onset of material damage. However, these effects are usually very small and can be detected only using cumbersome…

Accurately estimating the proportion of true signals among a large number of variables is crucial for enhancing the precision and reliability of scientific research. Traditional signal proportion estimators often assume independence among…

Statistics Theory · Mathematics 2026-05-15 Jingtian Bai , Xinge Jessie Jeng

A {\beta}-skeleton is a proximity graphs with node neighbourhood defined by continuous-valued parameter {\beta}. Two nodes in a {\beta}-skeleton are connected by an edge if their lune-based neighbourhood contains no other nodes. With…

Computational Geometry · Computer Science 2013-12-31 Andrew Adamatzky

This paper considers galactic scale Beacons from the point of view of expense to a builder on Earth. For fixed power density in the far field, what is the cost-optimum interstellar Beacon system? Experience shows an optimum tradeoff,…

Popular Physics · Physics 2009-08-26 James Benford , Gregory Benford , Dominic Benford

A sender holds a word x consisting of n blocks x_i, each of t bits, and wishes to broadcast a codeword to m receivers, R_1,...,R_m. Each receiver R_i is interested in one block, and has prior side information consisting of some subset of…

Information Theory · Computer Science 2008-06-20 Noga Alon , Avinatan Hasidim , Eyal Lubetzky , Uri Stav , Amit Weinstein

In this paper we optimize constellation sets to be used for channels affected by phase noise. The main objective is to maximize the achievable mutual information of the constellation under a given power constraint. The mutual information…

Information Theory · Computer Science 2012-10-08 Farbod Kayhan , Guido Montorsi

We investigate the equilibrium behavior for the decentralized quadratic cheap talk problem in which an encoder and a decoder, viewed as two decision makers, have misaligned objective functions. In prior work, we have shown that the number…

Information Theory · Computer Science 2019-11-13 Serkan Sarıtaş , Philippe Furrer , Sinan Gezici , Tamás Linder , Serdar Yüksel

Active learning is a powerful tool when labelling data is expensive, but it introduces a bias because the training data no longer follows the population distribution. We formalize this bias and investigate the situations in which it can be…

Machine Learning · Statistics 2021-06-01 Sebastian Farquhar , Yarin Gal , Tom Rainforth

Mounting evidence shows that oscillatory activity is widespread in cell signaling. Here we review some of this recent evidence, focusing on both the molecular mechanisms that potentially underlie such dynamical behavior, and the potential…

Cell Behavior · Quantitative Biology 2022-04-15 Pablo Casani-Galdon , Jordi Garcia-Ojalvo

Three variants of the statistical complexity function, which is used as a criterion in the problem of detection of a useful signal in the signal-noise mixture, are considered. The probability distributions maximizing the considered variants…

Statistics Theory · Mathematics 2023-11-30 Leonid Berlin , Andrey Galyaev , Pavel Lysenko

Data corruption, including missing and noisy data, poses significant challenges in real-world machine learning. This study investigates the effects of data corruption on model performance and explores strategies to mitigate these effects…

Machine Learning · Computer Science 2025-05-22 Qi Liu , Wanjing Ma

Each period, two players bargain over a unit of surplus. Each player chooses between remaining flexible and committing to a take-it-or-leave-it offer at a cost. If players' committed demands are incompatible, then the current-period surplus…

Theoretical Economics · Economics 2025-03-04 Harry Pei

We study the bias of the isotonic regression estimator. While there is extensive work characterizing the mean squared error of the isotonic regression estimator, relatively little is known about the bias. In this paper, we provide a sharp…

Statistics Theory · Mathematics 2020-01-14 Ran Dai , Hyebin Song , Rina Foygel Barber , Garvesh Raskutti