Latest in math.sp

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Deep Unfolding for Communications Systems: A Survey and Some New DirectionsJun 13 2019Deep unfolding is a method of growing popularity that fuses iterative optimization algorithms with tools from neural networks to efficiently solve a range of tasks in machine learning, signal and image processing, and communication systems. This survey ... More
Anderson localisation in stationary ensembles of quasiperiodic operatorsJun 13 2019An ensemble of quasi-periodic discrete Schr\"{o}dinger operators with an arbitrary number of basic frequencies is considered, in a lattice of arbitrary dimension, in which the hull function is a realisation of a stationary Gaussian process on the torus. ... More
Spectrum absolute continuity in a twisted Dirichlet-Neumann waveguideJun 13 2019Quantum waveguide with the shape of planar infinite straight strip and combined Dirichlet and Neumann boundary conditions on the opposite half-lines of the boundary is considered. The absence of the point as well as of the singular continuous spectrum ... More
N-dimensional Heisenberg's uncertainty principle for fractional Fourier transformJun 13 2019A sharper uncertainty inequality which exhibits a lower bound larger than that in the classical N-dimensional Heisenberg's uncertainty principle is obtained, and extended from N-dimensional Fourier transform domain to two N-dimensional fractional Fourier ... More
On the absolutely continuous spectrum of generalized indefinite strings IIJun 12 2019We continue to investigate absolutely continuous spectrum of generalized indefinite strings. By following an approach of Deift and Killip, we establish stability of the absolutely continuous spectra of two more model examples of generalized indefinite ... More
Spectral Ratio for Positive MatricesJun 12 2019It is well known from the Perron-Frobenius theory that the spectral gap of a positive square matrix is positive. In this paper, we give a more quantitative characterization of the spectral gap. More specifically, using a complex extension of the Hilbert ... More
LocLets: Localized Graph Wavelets for Processing Frequency Sparse Signals on GraphsJun 11 2019In this article, a new family of graph wavelets, abbreviated LocLets for \textit{Loc}alized graph wave\textit{Lets}, is introduced. These wavelets are localized in the Fourier domain on subsets of the graph Laplacian spectrum. LocLets are built upon the ... More
Rate-Splitting Unifying SDMA, OMA, NOMA, and Multicasting in MISO Broadcast Channel: A Simple Two-User Rate AnalysisJun 11 2019Considering a two-user multi-antenna Broadcast Channel, this paper shows that linearly precoded Rate-Splitting (RS) with Successive Interference Cancellation (SIC) receivers is a flexible framework for non-orthogonal transmission that generalizes, and ... More
On the Universality of Noiseless Linear Estimation with Respect to the Measurement MatrixJun 11 2019In a noiseless linear estimation problem, one aims to reconstruct a vector x* from the knowledge of its linear projections y=Phi x*. There have been many theoretical works concentrating on the case where the matrix Phi is a random i.i.d. one, but a number ... More
Behavioral Switching Loss Modeling of Inverter ModulesJun 11 2019This paper presents a new behavioral model for switching power loss evaluation in phase-shifted full-bridge inverter Power Modules (PoMs). The proposed model has been identified by means of a Genetic Programming (GP) algorithm combined with a Multi-Objective ... More
Vulnerabilities of Power System Operations to Load Forecasting Data Injection AttacksJun 11 2019We study the security threats of power system operation brought by a class of data injection attacks upon load forecasting algorithms. In particular, with minimal assumptions on the knowledge and ability of the attacker, we design attack data on input ... More
Beam Learning -- Using Machine Learning for Finding Beam DirectionsJun 11 2019Beamforming is the key enabler for wireless communications in the mmWave bands. 802.11ad and WiGig are wireless technologies that currently use the 60 GHz unlicensed mmWave spectrum via beamforming techniques. It is likely that 5G systems will be considered ... More
Anderson-Bernoulli Localization on the 3D lattice and discrete unique continuation principleJun 11 2019We consider the Anderson model with Bernoulli potential on $\mathbb{Z}^{3}$, and prove localization of eigenfunctions corresponding to eigenvalues near zero, the lower boundary of the spectrum. The proof follows the framework by Bourgain--Kenig and Ding--Smart. ... More
On the Spectrality and Spectral Expansion of the Non-self-adjoint Mathieu-Hill Operator in All Real LineJun 10 2019Jun 13 2019In this paper we investigate the non-self-adjoint operator H generated in all real line by the Mathieu-Hill equation with a complex-valued potential. We find a necessary and sufficient conditions on the potential for which H has no spectral singularity ... More
On the Spectrality and Spectral Expansion of the Non-self-adjoint Mathieu-Hill Operator in All Real LineJun 10 2019In this paper we investigate the non-self-adjoint operator H generated in all real line by the Mathieu-Hill equation with a complex-valued potential. We find a necessary and sufficient conditions on the potential for which H has no spectral singularity ... More
Inference and Uncertainty Quantification for Noisy Matrix CompletionJun 10 2019Noisy matrix completion aims at estimating a low-rank matrix given only partial and corrupted entries. Despite substantial progress in designing efficient estimation algorithms, it remains largely unclear how to assess the uncertainty of the obtained ... More
Supervised and Semi-Supervised Learning for MIMO Blind Detection with Low-Resolution ADCsJun 10 2019The use of low-resolution analog-to-digital converters (ADCs) is considered to be an effective technique to reduce the power consumption and hardware complexity of wireless transceivers. However, in systems with low-resolution ADCs, obtaining channel ... More
Non-boundedness of the number of nodal domains of a sum of eigenfunctionsJun 09 2019Generalizing Courant's nodal domain theorem, the ``Extended Courant property'' is the statement that a linear combination of the first $n$ eigenfunctions has at most $n$ nodal domains. In the first part of the paper, we prove that the Extended Courant ... More
Lifschitz tail for alloy-type models driven by the fractional LaplacianJun 08 2019We establish precise asymptotics near zero of the integrated density of states for the random Schr\"{o}dinger operators $(-\Delta)^{\alpha/2} + V^{\omega}$ in $L^2(\mathbb R^d)$ for the full range of $\alpha\in(0,2]$ and a fairly large class of random ... More
Deep Learning For Experimental Hybrid Terrestrial and Satellite Interference ManagementJun 07 2019Interference Management is a vast topic present in many disciplines. The majority of wireless standards suffer the drawback of interference intrusion and the network efficiency drop due to that. Traditionally, interference management has been addressed ... More
Quantum strips in higher dimensionsJun 06 2019We consider the Dirichlet Laplacian in unbounded strips on ruled surfaces in any space dimension. We locate the essential spectrum under the condition that the strip is asymptotically flat. If the Gauss curvature of the strip equals zero, we establish ... More
Intelligent Reflecting Surface Assisted Multi-User MISO CommunicationJun 05 2019The recently completed global standard for 5G new radio air interface focuses on fulfilling key performance indicators for the new generation of cellular networks through several cutting-edge technologies, including Massive multiple-input multiple-output ... More
Zero Measure and Singular Continuous Spectra for Quantum GraphsJun 05 2019We introduce a dynamically defined class of unbounded, connected, equilateral metric graphs on which the Kirchhoff Laplacian has zero Lebesgue measure spectrum and a nontrivial singular continuous part. A new local Borg--Marchenko uniqueness result is ... More
Conditions for discreteness of the spectrum to multi-dimensional Schrödinger operatorJun 05 2019This work is a continuation of our previos paper \cite{Zel1}, where for the the Schr\"odinger operator $H=-\Delta+ V(\e)\cdot$ $(V(\e)\ge 0)$, acting in the space $L_2(\R^d)\,(d\ge 3)$, some constructive sufficient conditions for discreteness of its spectrum ... More
Expectation Propagation Detector for Extra-Large Scale Massive MIMOJun 05 2019The deployment of extremely large-scale antenna array at the base station, referred to as extra-largescale massive multiple-input-multiple-output (MIMO) system, is a brand new communication paradigm allowing for significant performance gain at the cost ... More
On length-holonomy spectrum of three dimensional compact hyperbolic manifoldsJun 05 2019In this paper we establish a strong multiplicity one type property for the length-holonomy spectrum for the three dimensional compact hyperbolic spaces. We use the analytic properties of Selberg-Gangolli-Wakayama zeta functions associated to compact hyperbolic ... More
Opportunistic NOMA-based Low-Latency Uplink TransmissionsJun 05 2019In this paper, we study the application of opportunistic non-orthogonal multiple access (NOMA) mode to low-latency uplink transmissions with user's power control under a finite power budget. It is shown that opportunistic NOMA mode, which can transmit ... More
Monopulse-based THz Beam Tracking for Indoor Virtual Reality ApplicationsJun 04 2019Terahertz spectrum is being researched upon to provide ultra-high throughput radio links for indoor applications, e.g., virtual reality (VR), etc. as well as outdoor applications, e.g., backhaul links, etc. This paper investigates a monopulse-based beam ... More
Memory-assisted Statistically-ranked RF Beam Training Algorithm for Sparse MIMOJun 04 2019Jun 06 2019This paper presents a novel radio frequency (RF) beam training algorithm for sparse multiple input multiple output (MIMO) channels using unitary RF beamforming codebooks at transmitter (Tx) and receiver (Rx). The algorithm leverages statistical knowledge ... More
Memory-assisted Statistically-ranked RF Beam Training Algorithm for Sparse MIMOJun 04 2019This paper presents a novel radio frequency (RF) beam training algorithm for sparse multiple input multiple output (MIMO) channels using unitary RF beamforming codebooks at transmitter (Tx) and receiver (Rx). The algorithm leverages statistical knowledge ... More
5G Downlink Multi-Beam Signal Design for LOS PositioningJun 04 2019In this work, we study optimal transmit strategies for minimizing the positioning error bound in a line-of-sight scenario, under different levels of prior knowledge of the channel parameters. For the case of perfect prior knowledge, we prove that two ... More
A Novel Deep Neural Network Based Approach for Sparse Code Multiple AccessJun 04 2019Sparse code multiple access (SCMA) has been one of non-orthogonal multiple access (NOMA) schemes aiming to support high spectral efficiency and ubiquitous access requirements for 5G wireless communication networks. Conventional SCMA approaches are confronting ... More
An optimization problem for finite point interaction familiesJun 04 2019We consider the spectral problem for a family of $N$ point interactions of the same strength confined to a manifold with a rotational symmetry, a circle or a sphere, and ask for configurations that optimize the ground state energy of the corresponding ... More
Dynamics of geodesics, and Maass cusp formsJun 03 2019The correspondence principle in physics between quantum mechanics and classical mechanics suggests deep relations between spectral and geometric entities of Riemannian manifolds. We survey---in a way intended to be accessible to a wide audience of mathematicians---a ... More
New solution of a problem of Kolmogorov on width asymptotics in holomorphic function spacesJun 03 2019Given a domain $D$ in $\mathbb{C}^n$ and $K$ a compact subset of $D$, the set $\mathcal{A}_K^D$ of all restrictions of functions holomorphic on $D$ the modulus of which is bounded by $1$ is a compact subset of the Banach space $C(K)$ of continuous functions ... More
Steady-state Voltage Profile and Long-term Voltage Stability of Electrified Road with Wireless Dynamic ChargingJun 03 2019Wireless dynamic charging technologies are becoming a promising alternative solution to plug-in ones as they allow on-the-move charging for electric vehicles. From a power network point of view, this type of charging makes electric vehicles a new type ... More
A note on spectrum and quantum dynamicsJun 03 2019We show, in the same vein of Simon's Wonderland Theorem, that, typically in Baire's sense, the rates with whom the solutions of the Schr\"odinger equation escape, in time average, from every finite-dimensional subspace, depend on subsequences of time ... More
Explicit spectral gaps for random covers of Riemann surfacesJun 03 2019We introduce a permutation model for random degree $n$ covers $X_{n}$ of a non-elementary convex-cocompact hyperbolic surface $X=\Gamma\backslash\mathbb{H}$. Let $\delta$ be the Hausdorff dimension of the limit set of $\Gamma$. We say that a resonance ... More
Upper Estimates for Electronic Density in Heavy Atoms and MoleculesJun 03 2019We derive an upper estimate for electronic density in heavy atoms and molecules.
Gridless Variational Bayesian Channel Estimation for Antenna Array Systems with Low Resolution ADCsJun 03 2019Employing low-resolution analog-to-digital converters (ADCs) coupled with large antenna arrays at the receivers has drawn considerable interests in the millimeter wave (mm-wave) system. Since mm-wave channels are sparse in angular dimensions, exploiting ... More
Spectral optimization for strongly singular Schrödinger operators with a star-shaped interactionJun 02 2019We discuss the spectral properties of singular Schr\"odinger operators in three dimensions with the interaction supported by an equilateral star, finite or infinite. In the finite case the discrete spectrum is nonempty if the star arms are long enough. ... More
Performance Evaluation for the Co-existence of eMBB and URLLC Networks: Synchronized versus Unsynchronized TDDJun 01 2019To ensure the high level of automation required in today's industrial applications, next-generation wireless networks must enable real-time control and automation of dynamic processes with the requirements of extreme low-latency and ultra-reliable communications. ... More
Relay-Aided Channel Estimation for mmWave Systems with Imperfect Antenna ArraysJun 01 2019Compressed Sensing (CS) based channel estimation techniques have recently emerged as an effective way to acquire the channel of millimeter-wave (mmWave) systems with a small number of measurements. These techniques, however, are based on prior knowledge ... More
Spectral Efficiency Analysis in Dense Massive MIMO NetworksMay 31 2019This work considers the uplink of a Massive MIMO network wherein the base stations (BSs) are randomly deployed according to a homogenous Poisson point process of intensity $\lambda$. Each BS is equipped with $M$ antennas and serves $K$ user equipments. ... More
Age of Information in G/G/1/1 Systems: Age Expressions, Bounds, Special Cases, and OptimizationMay 31 2019We consider the age of information in G/G/1/1 systems under two service discipline models. In the first model, if a new update arrives when the service is busy, it is blocked; in the second model, a new update preempts the current update in service. For ... More
Performance Analysis of Clustered LoRa NetworksMay 31 2019In this paper, we investigate the uplink transmission performance of low-power wide-area (LPWA) networks with regards to coexisting radio modules. We adopt long range (LoRa) radio technique as an example of the network of focus even though our analysis ... More
Deterministic and stochastic damage detection via dynamic response analysisMay 31 2019The paper proposes a method of damage detection in elastic materials, which is based on analyzing the time-dependent (dynamic) response of the material excited by an acoustic signal. Starting from a mathematical model of the acoustic wave, we calibrate ... More
Deep Learning for Distributed Optimization: Applications to Wireless Resource ManagementMay 31 2019This paper studies a deep learning (DL) framework to solve distributed non-convex constrained optimizations in wireless networks where multiple computing nodes, interconnected via backhaul links, desire to determine an efficient assignment of their states ... More
Deep Learning for Direct Hybrid Precoding in Millimeter Wave Massive MIMO SystemsMay 30 2019This paper proposes a novel neural network architecture, that we call an auto-precoder, and a deep-learning based approach that jointly senses the millimeter wave (mmWave) channel and designs the hybrid precoding matrices with only a few training pilots. ... More
Recovery of binary sparse signals from compressed linear measurements via polynomial optimizationMay 30 2019The recovery of signals with finite-valued components from few linear measurements is a problem with widespread applications and interesting mathematical characteristics. In the compressed sensing framework, tailored methods have been recently proposed ... More
Implicit Regularization of Accelerated Methods in Hilbert SpacesMay 30 2019May 31 2019We study learning properties of accelerated gradient descent methods for linear least-squares in Hilbert spaces. We analyze the implicit regularization properties of Nesterov acceleration and a variant of heavy-ball in terms of corresponding learning ... More
Implicit Regularization of Accelerated Methods in Hilbert SpacesMay 30 2019We study learning properties of accelerated gradient descent methods for linear least-squares in Hilbert spaces. We analyze the implicit regularization properties of Nesterov acceleration and a variant of heavy-ball in terms of corresponding learning ... More
On the stability of self-adjointness of linear relationsMay 30 2019This paper focuses on the stability of self-adjointness of linear relations under perturbations in Hilbert spaces. It is shown that a self-adjoint relation is still self-adjoint under bounded and relatively bounded perturbations. The results obtained ... More
Bounds and Gaps of Positive Eigenvalues of Magnetic Schrödinger Operators with No or Robin Boundary ConditionsMay 30 2019We consider magnetic Schr\"{o}dinger operators on a bounded region $\Omega$ with the smooth boundary $\partial \Omega$ in Euclidean space ${\mathbb R}^d$. In reference to the result from Weyl's asymptotic law and P\'{o}lya's conjecture, P. Li and S. -T. ... More
Separating an Outlier from a ChangeMay 30 2019We study the quickest change detection problem with an unknown post-change distribution. In this scenario, the unknown change in the distribution of observations may occur in many ways without much structure, while, before change, an outlier (a false ... More
Multi-Layer Spectral Clustering Approach to Intentional Islanding In Bulk Power SystemsMay 29 2019Intentional controlled islanding (ICI) is a final resort for preventing a cascading failure and catastrophic power system blackouts. This paper proposes a controlled islanding algorithm that uses spectral clustering over multi-layer graphs to find a suitable ... More
Multi-Layer Spectral Clustering Approach to Intentional Islanding In Bulk Power SystemsMay 29 2019Jun 07 2019Intentional controlled islanding (ICI) is a final resort for preventing a cascading failure and catastrophic power system blackouts. This paper proposes a controlled islanding algorithm that uses spectral clustering over multi-layer graphs to find a suitable ... More
Enhanced Mobility with Connectivity and Automation: A Review of Shared Autonomous Vehicle SystemsMay 29 2019Shared mobility can provide access to transportation on a custom basis without vehicle ownership. The advent of connected and automated vehicle technologies can further enhance the potential benefits of shared mobility systems. Although the implications ... More
Glancing Through Massive Binary Radio Lenses: Hardware-Aware Interferometry With 1-Bit SensorsMay 29 2019Energy consumption and hardware cost of signal digitization together with the management of the resulting data volume form serious issues for high-rate measurement systems with multiple sensors. Switching to binary sensing front-ends results in resource-efficient ... More
The spiked matrix model with generative priorsMay 29 2019Using a low-dimensional parametrization of signals is a generic and powerful way to enhance performance in signal processing and statistical inference. A very popular and widely explored type of dimensionality reduction is sparsity; another type is generative ... More
The spiked matrix model with generative priorsMay 29 2019May 30 2019Using a low-dimensional parametrization of signals is a generic and powerful way to enhance performance in signal processing and statistical inference. A very popular and widely explored type of dimensionality reduction is sparsity; another type is generative ... More
Tight Recovery Guarantees for Orthogonal Matching Pursuit Under Gaussian NoiseMay 29 2019Orthogonal Matching pursuit (OMP) is a popular algorithm to estimate an unknown sparse vector from multiple linear measurements of it. Assuming exact sparsity and that the measurements are corrupted by additive Gaussian noise, the success of OMP is often ... More
Semiclassical behaviour of quantum eigenstatesMay 29 2019Given a quantum Hamiltonian, we explain how the dynamical properties of the underlying classical system affect the behaviour of quantum eigenstates in the semi-classical limit. We study this problem via the notion of semiclassical measures. We mostly ... More
Jordan chains of elliptic partial differential operators and Dirichlet-to-Neumann mapsMay 28 2019Let $\Omega \subset {\bf R}^d$ be a bounded open set with Lipschitz boundary $\Gamma$. It will be shown that the Jordan chains of m-sectorial second-order elliptic partial differential operators with measurable coefficients and (local or non-local) Robin ... More
The Meta Distributions of the SIR/SNR and Data Rate in Coexisting Sub-6GHz and Millimeter-wave Cellular NetworksMay 28 2019May 30 2019We develop a stochastic geometry framework to characterize the meta distributions of the downlink signal-to-interference-ratio (SIR)/signal-to-noise-ratio (SNR) and data rate of a typical {\color{black}outdoor} user in a coexisting sub-6GHz and millimeter ... More
The Meta Distributions of the SIR/SNR and Data Rate in Coexisting Sub-6GHz and Millimeter-wave Cellular NetworksMay 28 2019We develop a stochastic geometry framework to characterize the meta distributions of the downlink signal-to-interference-ratio (SIR)/signal-to-noise-ratio (SNR) and data rate of a typical {\color{black}outdoor} user in a coexisting sub-6GHz and millimeter ... More
The sharp $p$-Poincaré inequality under the measure contraction propertyMay 28 2019We obtain sharp estimate on $p$-spectral gaps, or equivalently optimal constant in $p$-Poincar\'e inequalities, for metric measure spaces satisfying measure contraction property. We also prove the rigidity for the sharp $p$-spectral gap.
Distributed Antenna Selection for Massive MIMO using Reversing Petri NetsMay 28 2019Distributed antenna selection for Distributed Massive MIMO (Multiple Input Multiple Output) communication systems reduces computational complexity compared to centralised approaches, and provides high fault tolerance while retaining diversity and spatial ... More
Towards Practical Indoor Positioning Based on Massive MIMO SystemsMay 28 2019We showcase the practicability of an indoor positioning system (IPS) solely based on Neural Networks (NNs) and the channel state information (CSI) of a (Massive) multiple-input multiple-output (MIMO) communication system, i.e., only build on the basis ... More
Unimodular value distribution of Laplace eigenfunctions and a monotonicity formulaMay 28 2019Let $M$ be a compact, connected Riemannian manifold whose Riemannian volume measure is denoted by $\sigma$. Let $f: M \rightarrow \mathbb{R}$ be a non-constant eigenfunction of the Laplacian. The random wave conjecture suggests that in certain situations, ... More
Grid Optimal Integration of Power ShipsMay 27 2019Power-generating ships or Power Ships (PSs) are considered one of the largest mobile energy resources. In this paper, a model is proposed to evaluate the integration of PSs into power grid operations. The model optimally coordinates the ships to enhance ... More
Statistical Modeling of the FSO Fronthaul Channel for UAV-based NetworksMay 27 2019In this paper, we investigate the statistics of free space optics (FSO) communication channel between a hovering unmanned aerial vehicle (UAV) and a central unit (CU). Two unique characteristics make UAV-based FSO systems significantly different from ... More
Geometric structures and the Laplace spectrumMay 27 2019Inspired by the role geometric structures play in our understanding of surfaces and three-manifolds, and Berger's observation that a surface of constant sectional curvature is determined up to local isometry by its Laplace spectrum, we explore the extent ... More
3D Trajectory Optimization for Secure UAV Communication with CoMP ReceptionMay 27 2019This paper studies a secrecy unmanned aerial vehicle (UAV) communication system with coordinated multi-point (CoMP) reception, in which one UAV sends confidential messages to a set of distributed ground nodes (GNs) that can cooperate in signal detection, ... More
Scattering in periodic waveguide: integral representation and spectrum decompositionMay 27 2019Scattering problems in periodic waveguides are interesting but challenging topics in mathematics, both theoretically and numerically. Due to the existence of eigenvalue, the unique solvability of such problems is not always guaranteed. To obtain a unique ... More
Scattering in periodic waveguide: integral representation and spectrum decompositionMay 27 2019Jun 01 2019Scattering problems in periodic waveguides are interesting but challenging topics in mathematics, both theoretically and numerically. Due to the existence of eigenvalue, the unique solvability of such problems is not always guaranteed. To obtain a unique ... More
Deep-Neural-Network based Fall-back Mechanism in Interference-Aware Receiver DesignMay 26 2019In this letter, we consider designing a fall-back mechanism in an interference-aware receiver. Typically, there are two different manners of dealing with interference, known as enhanced interference-rejection-combining (eIRC) and symbol-level interference-cancellation ... More
On coupling constant thresholds in one dimensionMay 26 2019The threshold behaviour of negative eigenvalues for Schr\"{o}dinger operators of the type $$ H_\lambda=-\frac{d^2}{dx^2}+U(x)+\lambda\alpha_\lambda V(\alpha_\lambda x) $$ is considered. The potentials $U$ and $V$ are real-valued bounded functions of compact ... More
Multiuser MISO UAV Communications in Uncertain Environments with No-fly Zones: Robust Trajectory and Resource Allocation DesignMay 26 2019May 28 2019In this paper, we investigate robust resource allocation algorithm design for multiuser downlink multiple-input single-output (MISO) unmanned aerial vehicle (UAV) communication systems, where we account for the various uncertainties that are unavoidable ... More
Doubling Phase Shifters for Efficient Hybrid Precoder Design in Millimeter-Wave Communication SystemsMay 25 2019Hybrid precoding is a cost-effective approach to support directional transmissions for millimeter-wave (mm-wave) communications, but its precoder design is highly complicated. In this paper, we propose a new hybrid precoder implementation, namely the ... More
TurboNet: A Model-driven DNN Decoder Based on Max-Log-MAP Algorithm for Turbo CodeMay 25 2019This paper presents TurboNet, a novel model-driven deep learning (DL) architecture for turbo decoding that combines DL with the traditional max-log-maximum a posteriori (MAP) algorithm. To design TurboNet, we unfold the original iterative structure for ... More
A Deep Learning Wireless Transceiver with Fully Learned Modulation and SynchronizationMay 24 2019In this paper, we present a deep learning based wireless transceiver. We describe in detail the corresponding artificial neural network architecture, the training process, and report on excessive over-the-air measurement results. We employ the end-to-end ... More
Tight Linear Convergence Rate of ADMM for Decentralized OptimizationMay 24 2019The present paper considers leveraging network topology information to improve the convergence rate of ADMM for decentralized optimization, where networked nodes work collaboratively to minimize the objective. Such problems can be solved efficiently using ... More
General Toeplitz matrices subject to Gaussian perturbationsMay 24 2019We study the spectra of general $N\times N$ Toeplitz matrices given by symbols in the Wiener Algebra perturbed by small complex Gaussian random matrices, in the regime $N\gg 1$. We prove an asymptotic formula for the number of eigenvalues of the perturbed ... More
Outliers of random perturbations of Toeplitz matrices with finite symbolsMay 24 2019Consider an $N\times N$ Toeplitz matrix $T_N$ with symbol ${ a }(\lambda) := \sum_{\ell=-d_2}^{d_1} a_\ell \lambda^\ell$, perturbed by an additive noise matrix $N^{-\gamma} E_N$, where the entries of $E_N$ are centered i.i.d.~complex random variables ... More
Contextual Bandit Learning for Machine Type Communications in the Null Space of Multi-Antenna SystemsMay 23 2019In this paper, a novel approach based on the concept of opportunistic spatial orthogonalization (OSO) is proposed for interference management between machine type communications (MTC) and conventional cellular communications. In particular, a cellular ... More
A Comparative Study of Analog/Digital Self-Interference Cancellation for Full Duplex RadiosMay 23 2019Self-interference (SI) is the main obstacle to full-duplex radios. To overcome the SI, researchers have proposed several analog and digital domain self-interference cancellation (SIC) techniques. How well the digital cancellation works depends on the ... More
Optimization results for the higher eigenvalues of the $p$-Laplacian associated with sign-changing capacitary measuresMay 23 2019In this paper we prove the existence of an optimal set for the minimization of the $k$-th variational eigenvalue of the $p$-Laplacian among $p$-quasi open sets of fixed measure included in a box of finite measure. An analogous existence result is obtained ... More
Revisiting Graph Neural Networks: All We Have is Low-Pass FiltersMay 23 2019Graph neural networks have become one of the most important techniques to solve machine learning problems on graph-structured data. Recent work on vertex classification proposed deep and distributed learning models to achieve high performance and scalability. ... More
Revisiting Graph Neural Networks: All We Have is Low-Pass FiltersMay 23 2019May 26 2019Graph neural networks have become one of the most important techniques to solve machine learning problems on graph-structured data. Recent work on vertex classification proposed deep and distributed learning models to achieve high performance and scalability. ... More
Downlink Non-Orthogonal Multiple Access without SIC for Block Fading Channels: An Algebraic Rotation ApproachMay 23 2019In this paper, we investigate the problem of downlink non-orthogonal multiple access (NOMA) over block fading channels. For the single antenna case, we propose a class of NOMA schemes where all the users' signals are mapped into $n$-dimensional constellations ... More
One-bit LFMCW Radar: Spectrum Analysis and Target DetectionMay 23 2019One-bit radar involving direct one-bit sampling is a promising technology for many civilian applications due to its low-cost and low-power consumptions. In this paper, problems encountered by one-bit LFMCW radar are studied and a two-stage target detection ... More
Resistance distance-based graph invariants and the number of spanning trees of linear crossed octagonal graphsMay 23 2019Resistance distance is a novel distance function, also a new intrinsic graph metric, which makes some extensions of ordinary distance. Let On be a linear crossed octagonal graph. Recently, Pan and Li (2018) derived the closed formulas for the Kirchhoff ... More
Sparse Equisigned PCA: Algorithms and Performance Bounds in the Noisy Rank-1 SettingMay 22 2019Singular value decomposition (SVD) based principal component analysis (PCA) breaks down in the high-dimensional and limited sample size regime below a certain critical eigen-SNR that depends on the dimensionality of the system and the number of samples. ... More
LAGC: Lazily Aggregated Gradient Coding for Straggler-Tolerant and Communication-Efficient Distributed LearningMay 22 2019Gradient-based distributed learning in Parameter Server (PS) computing architectures is subject to random delays due to straggling worker nodes, as well as to possible communication bottlenecks between PS and workers. Solutions have been recently proposed ... More
MIST: A Novel Training Strategy for Low-latencyScalable Neural Net DecodersMay 22 2019In this paper, we propose a low latency, robust and scalable neural net based decoder for convolutional and low-density parity-check (LPDC) coding schemes. The proposed decoders are demonstrated to have bit error rate (BER) and block error rate (BLER) ... More
Source Localization and Tracking for Dynamic Radio Cartography using Directional AntennasMay 21 2019Utilization of directional antennas is a promising solution for efficient spectrum sensing and accurate source localization and tracking. Spectrum sensors equipped with directional antennas should constantly scan the space in order to track emitting sources ... More
Learning Warm-Start Points for AC Optimal Power FlowMay 21 2019A large amount of data has been generated by grid operators solving AC optimal power flow (ACOPF) throughout the years, and we explore how leveraging this data can be used to help solve future ACOPF problems. We use this data to train a Random Forest ... More
Latency Analysis for Sequential Detection in Low-Complexity Binary Radio SystemsMay 21 2019We consider the problem of making a quick decision in favor of one of two possible physical models while the numerical measurements are acquired by sensing devices featuring minimal digitization complexity. Therefore, the digital data streams available ... More
Latency Analysis for Sequential Detection in Low-Complexity Binary Radio SystemsMay 21 2019May 22 2019We consider the problem of making a quick decision in favor of one of two possible physical models while the numerical measurements are acquired by sensing devices featuring minimal digitization complexity. Therefore, the digital data streams available ... More