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In quantum and quantum-inspired machine learning, the very first step is to embed the data in quantum space known as Hilbert space. Developing quantum kernel function (QKF), which defines the distances among the samples in the Hilbert…

Quantum Physics · Physics 2022-08-15 Wei-Ming Li , Shi-Ju Ran

The U.S. global position system (GPS) is one of the existing global navigation satellite systems (GNSS) that provides position and time information for users in civil, commercial and military backgrounds. Because of its reliance on many…

Signal Processing · Electrical Eng. & Systems 2019-07-08 Erick Schmidt , Zach A. Ruble , David Akopian , Daniel J. Pack

The advent of Reconfigurable Intelligent Surfaces (RISs) in wireless communication networks unlocks the way to support high frequency radio access (e.g. in millimeter wave) while overcoming their sensitivity to the presence of deep fading…

Information Theory · Computer Science 2022-05-31 Fatima Ezzahra Airod , Mattia Merluzzi , Paolo Di Lorenzo , Emilio Calvanese Strinati

Radio localization is applied in high-frequency (e.g., mmWave and THz) systems to support communication and to provide location-based services without extra infrastructure. {For solving localization problems, a simplified, stationary,…

Signal Processing · Electrical Eng. & Systems 2022-06-01 Hui Chen , Ahmed Elzanaty , Reza Ghazalian , Musa Furkan Keskin , Riku Jäntti , Henk Wymeersch

This paper investigates the multiple-input-multiple-output (MIMO) massive unsourced random access in an asynchronous orthogonal frequency division multiplexing (OFDM) system, with both timing and frequency offsets (TFO) and non-negligible…

Information Theory · Computer Science 2023-08-21 Tianya Li , Yongpeng Wu , Wenjun Zhang , Xiang-Gen Xia , Chengshan Xiao

Systems exhibiting the Hilbert-space fragmentation are nonergodic, and their Hamiltonians decompose into exponentially many blocks in the computational basis. In many cases, these blocks can be labeled by eigenvalues of statistically…

Strongly Correlated Electrons · Physics 2025-11-18 Mateusz Lisiecki , Janez Bonča , Marcin Mierzejewski , Jacek Herbrych , Patrycja Łydżba

Recent years have witnessed rapid advances in graph representation learning, with the continuous embedding approach emerging as the dominant paradigm. However, such methods encounter issues regarding parameter efficiency, interpretability,…

Machine Learning · Computer Science 2026-01-22 Qika Lin , Zhen Peng , Kaize Shi , Kai He , Yiming Xu , Jian Zhang , Erik Cambria , Mengling Feng

We consider joint beamforming and stream allocation to maximize the weighted sum rate (WSR) for non-coherent joint transmission (NCJT) in user-centric cell-free MIMO networks, where distributed access points (APs) are organized in clusters…

Signal Processing · Electrical Eng. & Systems 2024-02-29 Xi Wang , Xiaotong Zhao , Juncheng Wang , You Li , Qingjiang Shi

Graph Representation Learning (GRL) has become a key paradigm in network analysis, with a plethora of interdisciplinary applications. As the scale of networks increases, most of the widely used learning-based graph representation models…

Machine Learning · Computer Science 2022-10-12 Abdulkadir Çelikkanat , Fragkiskos D. Malliaros , Apostolos N. Papadopoulos

The ability of the Rigged Hilbert Space formalism to deal with continuous spectrum is demonstrated within the example of the square barrier potential. The non-square integrable solutions of the time-independent Schrodinger equation are used…

Quantum Physics · Physics 2015-06-26 R. de la Madrid , A. Bohm , M. Gadella

Reconfigurable intelligent surfaces (RISs) represent a radical new technology that can shape the radio wave propagation in wireless communication systems and offers a great variety of possible performance and implementation gains. Motivated…

Information Theory · Computer Science 2021-09-06 Nemanja Stefan Perović , Le-Nam Tran , Marco Di Renzo , Mark F. Flanagan

State-space models (SSMs) are a powerful statistical tool for modelling time-varying systems via a latent state. In these models, the latent state is never directly observed. Instead, a sequence of observations related to the state is…

Computation · Statistics 2025-03-25 Benjamin Cox , Emilie Chouzenoux , Victor Elvira

Wilson's Numerical Renormalization Group (NRG) is so far the only nonperturbative technique that can reliably access low-energy properties of quantum impurity systems. We present a recent extension of the method, the DM-NRG, which yields…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Walter Hofstetter

A number of applications in engineering, social sciences, physics, and biology involve inference over networks. In this context, graph signals are widely encountered as descriptors of vertex attributes or features in graph-structured data.…

Machine Learning · Statistics 2016-12-21 Daniel Romero , Meng Ma , Georgios B. Giannakis

Evolving from massive multiple-input multiple-output (MIMO) in current 5G communications, ultra-massive MIMO emerges as a seminal technology for fulfilling more stringent requirements of future 6G communications. However, widely-utilized…

Information Theory · Computer Science 2024-12-02 Boya Di , Hongliang Zhang , Rui Zhang , Zhu Han , Lingyang Song

A general class of nonlinear Least Square Error (LSE) precoders in multi-user multiple-input multiple-output systems is analyzed using the replica method from statistical mechanics. A single cell downlink channel with $N$ transmit antennas…

Information Theory · Computer Science 2017-04-28 Mohammad A. Sedaghat , Ali Bereyhi , Ralf R. Müller

Pseudospectral analysis is fundamental for quantifying the sensitivity and transient behavior of nonnormal matrices, yet its computational cost scales cubically with dimension, rendering it prohibitive for large-scale systems. While…

Numerical Analysis · Mathematics 2026-02-03 Vladimir R. Kostic , Dragana Lj. Cvetkovic , Ljiljana Cvetkovic

Multi-segment reconstruction (MSR) problem consists of recovering a signal from noisy segments with unknown positions of the observation windows. One example arises in DNA sequence assembly, which is typically solved by matching short reads…

Signal Processing · Electrical Eng. & Systems 2018-02-27 Mona Zehni , Minh N. Do , Zhizhen Zhao

This paper presents novel adaptive space-time reduced-rank interference suppression least squares algorithms based on joint iterative optimization of parameter vectors. The proposed space-time reduced-rank scheme consists of a joint…

Information Theory · Computer Science 2013-01-15 Rodrigo C. de Lamare , Raimundo Sampaio-Neto

Simultaneous Localization and Mapping (SLAM) is an essential component of autonomous robotic applications and self-driving vehicles, enabling them to understand and operate in their environment. Many SLAM systems have been proposed in the…

Robotics · Computer Science 2025-01-14 Lorenzo Montano-Oliván , Julio A. Placed , Luis Montano , María T. Lázaro
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