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Classification of high dimensional data finds wide-ranging applications. In many of these applications equipping the resulting classification with a measure of uncertainty may be as important as the classification itself. In this paper we…

Machine Learning · Computer Science 2018-02-12 Andrea L. Bertozzi , Xiyang Luo , Andrew M. Stuart , Konstantinos C. Zygalakis

Nonuniformly sampled signals are prevalent in real-world applications. However, estimating their power spectra from finite samples poses a significant challenge. The optimal solution-Bronez Generalized Prolate Spheroidal Sequence (GPSS) by…

Signal Processing · Electrical Eng. & Systems 2025-12-24 Jie Cui , Benjamin H. Brinkmann , Gregory A. Worrell

We study the sampling of spatial fields using sensors that are location-unaware but deployed according to a known statistical distribution. It has been shown that uniformly distributed location-unaware sensors cannot infer bandlimited…

Information Theory · Computer Science 2016-12-01 Ankur Mallick , Animesh Kumar

This paper tackles the problem of finding the optimal non-coherent detector for the reacquisition of weak Global Navigation Satellite System (GNSS) signals in the presence of bits and phase uncertainty. Two solutions are derived based on…

Signal Processing · Electrical Eng. & Systems 2021-01-25 David Gómez-Casco , José A. López-Salcedo , Gonzalo Seco-Granados

Cognitive Radio requires efficient and reliable spectrum sensing of wideband signals. In order to cope with the sampling rate bottleneck, new sampling methods have been proposed that sample below the Nyquist rate. However, such techniques…

Information Theory · Computer Science 2017-04-26 Deborah Cohen , Yonina C. Eldar

We study the problem of high-dimensional linear regression in a robust model where an $\epsilon$-fraction of the samples can be adversarially corrupted. We focus on the fundamental setting where the covariates of the uncorrupted samples are…

Machine Learning · Computer Science 2018-06-04 Ilias Diakonikolas , Weihao Kong , Alistair Stewart

In this paper we investigate the problem of designing a spectrum scanning strategy to detect an intelligent Invader who wants to utilize spectrum undetected for his/her unapproved purposes. To deal with this problem we apply…

Computer Science and Game Theory · Computer Science 2013-10-29 Andrey Garnaev , Wade Trappe , Chun-Ta Kung

Detection of symmetry is vital to problem solving. Most of the problems of computer vision and computer graphics and machine intelligence in general, can be reduced to symmetry detection problem. Unstructured search problem can also be…

Quantum Physics · Physics 2016-04-12 Dinesh Kumar , Pankaj Srivastava

In this paper, we consider the problem of sparse signal detection based on partial support set estimation with compressive measurements in a distributed network. Multiple nodes in the network are assumed to observe sparse signals which…

Applications · Statistics 2016-08-10 Thakshila Wimalajeewa , Pramod K. Varshney

Robust signal detection in colored noise with unknown covariance is essential in radar, cognitive radio, integrated sensing and communication (ISAC), and quantum sensing applications. This paper develops a unified analytical framework for…

Signal Processing · Electrical Eng. & Systems 2026-05-20 Tharindu Udupitiya , Saman Atapattu , Prathapasinghe Dharmawansa , Chintha Tellambura , Merouane Debbah

Compact binaries in our galaxy are expected to be one of the main sources of gravitational waves for the future eLISA mission. During the mission lifetime, many thousands of galactic binaries should be individually resolved. However, the…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Yann Bouffanais , Edward K. Porter

The implementation of computational sensing strategies often faces calibration problems typically solved by means of multiple, accurately chosen training signals, an approach that can be resource-consuming and cumbersome. Conversely, blind…

Information Theory · Computer Science 2017-02-17 Valerio Cambareri , Laurent Jacques

The identification of genetic signal regions in the human genome is critical for understanding the genetic architecture of complex traits and diseases. Numerous methods based on scan algorithms (i.e. QSCAN, SCANG, SCANG-STARR) have been…

Applications · Statistics 2025-01-24 Wei Zhang , Fan Wang , Fang Yao

This paper addresses the problem of detecting multidimensional subspace signals, which model range-spread targets, in noise of unknown covariance. It is assumed that a primary channel of measurements, possibly consisting of signal plus…

Signal Processing · Electrical Eng. & Systems 2022-10-04 Danilo Orlando , Giuseppe Ricci , Louis L. Scharf

Spectrum sensing is an essential functionality that enables cognitive radios to detect spectral holes and opportunistically use under-utilized frequency bands without causing harmful interference to primary networks. Since individual…

Information Theory · Computer Science 2009-11-13 Zhi Quan , Shuguang Cui , Ali. H. Sayed , H. Vincent Poor

In this paper, quantizer design for weak-signal detection under arbitrary binary channel in generalized Gaussian noise is studied. Since the performances of the generalized likelihood ratio test (GLRT) and Rao test are asymptotically…

Signal Processing · Electrical Eng. & Systems 2018-05-09 Guanyu Wang , Jiang Zhu , Zhiwei Xu

In emerging Internet-of-Nano-Thing (IoNT), information will be embedded and conveyed in the form of molecules through complex and diffusive medias. One main challenge lies in the long-tail nature of the channel response causing…

Machine Learning · Computer Science 2019-02-01 Zhuangkun Wei , Weisi Guo , Bin Li , Jerome Charmet , Chenglin Zhao

This work considers detecting the presence of a band-limited random radio source using an antenna array featuring a low-complexity digitization process with single-bit output resolution. In contrast to high-resolution analog-to-digital…

Information Theory · Computer Science 2018-02-21 Manuel S. Stein

Off-grid targets whose Doppler (or angle) does not lie on the discrete processing grid can severely degrade classical normalized matched-filter (NMF) detectors: even at high SNR, the detection probability may saturate at operationally…

Signal Processing · Electrical Eng. & Systems 2026-02-17 Yadang Alexis Rouzoumka , Jean Pinsolle , Eugénie Terreaux , Christèle Morisseau , Jean-Philippe Ovarlez , Chengfang Ren

We consider the problem of mixed sparse linear regression with two components, where two real $k$-sparse signals $\beta_1, \beta_2$ are to be recovered from $n$ unlabelled noisy linear measurements. The sparsity is allowed to be sublinear…

Machine Learning · Statistics 2023-07-07 Gabriel Arpino , Ramji Venkataramanan
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