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An atomic force microscope (AFM) is capable of producing ultra-high resolution measurements of nanoscopic objects and forces. It is an indispensable tool for various scientific disciplines such as molecular engineering, solid-state physics,…

Applications · Statistics 2017-06-28 Bryan Yates , Aleksander Labuda , Martin Lysy

In one-bit compressed sensing, previous results state that sparse signals may be robustly recovered when the measurements are taken using Gaussian random vectors. In contrast to standard compressed sensing, these results are not extendable…

Information Theory · Computer Science 2013-04-10 Albert Ai , Alex Lapanowski , Yaniv Plan , Roman Vershynin

Binary, or one-bit, representations of data arise naturally in many applications, and are appealing in both hardware implementations and algorithm design. In this work, we study the problem of data classification from binary data and…

Machine Learning · Computer Science 2017-07-10 Deanna Needell , Rayan Saab , Tina Woolf

We propose a new technique, called wild binary segmentation (WBS), for consistent estimation of the number and locations of multiple change-points in data. We assume that the number of change-points can increase to infinity with the sample…

Statistics Theory · Mathematics 2014-11-05 Piotr Fryzlewicz

Multiple-antenna systems is a key technique to serve multiple users in future wireless systems. For low energy consumption and hardware complexity we first consider transmit symbols with constant magnitude and then 1-bit digital-to-analog…

Information Theory · Computer Science 2018-01-18 Lukas T. N. Landau , Rodrigo C. de Lamare

Randomized algorithms depend on accurate sampling from probability distributions, as their correctness and performance hinge on the quality of the generated samples. However, even for common distributions like Binomial, exact sampling is…

Computation · Statistics 2025-06-17 Uddalok Sarkar , Sourav Chakraborty , Kuldeep S. Meel

We study the stabilization of an unpredictable linear control system where the controller must act based on a rate-limited observation of the state. More precisely, we consider the system $X_{n+1} = A_n X_n + W_n - U_n$, where the $A_n$'s…

Systems and Control · Computer Science 2018-05-16 Victoria Kostina , Yuval Peres , Gireeja Ranade , Mark Sellke

In this paper, we present a low-complexity algorithm for detection in high-rate, non-orthogonal space-time block coded (STBC) large-MIMO systems that achieve high spectral efficiencies of the order of tens of bps/Hz. We also present a…

Information Theory · Computer Science 2015-05-13 Saif K. Mohammed , Ahmed Zaki , A. Chockalingam , B. Sundar Rajan

We study the problem of the transmission of currently observed time variable signals via a channel that is capable of sending a single binary signal only for each measurement of the underlying process. For encoding and decoding, we suggest…

Information Theory · Computer Science 2015-01-22 Nikolai Dokuchaev

Purpose: To introduce and evaluate the use of stable distributions as a means of describing the behavior of charged particle pencil beams in a medium, with specific emphasis on proton beam scanning (PBS). Methods: The proton pencil beams of…

Medical Physics · Physics 2018-03-29 Frank Van den Heuvel , Francesca Fiorini , Niek Schreuder , Ben George

Frequency estimation is one of the most fundamental problems in streaming algorithms. Given a stream $S$ of elements from some universe $U=\{1 \ldots n\}$, the goal is to compute, in a single pass, a short sketch of $S$ so that for any…

Data Structures and Algorithms · Computer Science 2021-11-09 Piotr Indyk , Shyam Narayanan , David P. Woodruff

We investigate the one-bit MIMO (1b-MIMO) radar that performs one-bit sampling with a time-varying threshold in the temporal domain and employs compressive sensing in the spatial and Doppler domains. The goals are to significantly reduce…

Signal Processing · Electrical Eng. & Systems 2020-04-22 Feng Xi , Yijian Xiang , Shengyao Chen , Arye Nehorai

One-bit compressive sensing gains its popularity in signal processing and communications due to its low storage costs and low hardware complexity. However, it has been a challenging task to recover the signal only by exploiting the one-bit…

Optimization and Control · Mathematics 2022-04-20 Shenglong Zhou , Ziyan Luo , Naihua Xiu , Geoffrey Ye Li

The ultimate goal of any sparse coding method is to accurately recover from a few noisy linear measurements, an unknown sparse vector. Unfortunately, this estimation problem is NP-hard in general, and it is therefore always approached with…

Stochastic spectral methods have become a popular technique to quantify the uncertainties of nano-scale devices and circuits. They are much more efficient than Monte Carlo for certain design cases with a small number of random parameters.…

Computational Engineering, Finance, and Science · Computer Science 2016-03-22 Zheng Zhang , Tsui-Wei Weng , Luca Daniel

Quantum stabilizer codes constructed from sparse matrices have good performance and can be efficiently decoded by belief propagation (BP). A conventional BP decoding algorithm treats binary stabilizer codes as additive codes over GF(4).…

Quantum Physics · Physics 2020-10-21 Kao-Yueh Kuo , Ching-Yi Lai

The Robust Phase Estimation (RPE) protocol was designed to be an efficient and robust way to calibrate quantum operations. The robustness of RPE refers to its ability to estimate a single parameter, usually gate amplitude, even when other…

Quantum Physics · Physics 2019-11-12 Adam M. Meier , Karl A. Burkhardt , Brian J. McMahon , Creston D. Herold

We propose a distributionally robust formulation for simultaneously estimating the covariance matrix and the precision matrix of a random vector.The proposed model minimizes the worst-case weighted sum of the Frobenius loss of the…

Machine Learning · Statistics 2025-11-19 Renjie Chen , Viet Anh Nguyen , Huifu Xu

In this paper we propose a new framework for distributed source coding of structured sources, such as sparse signals. Our framework capitalizes on recent advances in the theory of linear inverse problems and signal representations using…

Information Theory · Computer Science 2020-12-02 Maxim Goukhshtein , Petros T. Boufounos , Toshiaki Koike-Akino , Stark C. Draper

We consider a binary sequence generated by thresholding a hidden continuous sequence. The hidden variables are assumed to have a compound symmetry covariance structure with a single parameter characterizing the common correlation. We study…

Statistics Theory · Mathematics 2019-09-04 Haolei Weng , Yang Feng
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