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Scaled relative graphs were recently introduced to analyze the convergence of optimization algorithms using two dimensional Euclidean geometry. In this paper, we connect scaled relative graphs to the classical theory of input/output…

Systems and Control · Electrical Eng. & Systems 2021-10-08 Thomas Chaffey , Fulvio Forni , Rodolphe Sepulchre

In this paper, we utilize a variant of the scaled relative graph (SRG), referred to as the $\theta$-symmetric SRG, to develop a graphical stability criterion for the feedback interconnection of a cascade of systems. A crucial…

Systems and Control · Electrical Eng. & Systems 2025-10-09 Xiaokan Yang , Ding Zhang , Wei Chen , Li Qiu

This paper proposes a stochastic geometry framework to analyze the SINR and rate performance in a large-scale uplink massive MIMO network. Based on the model, expressions are derived for spatial average SINR distributions over user and base…

Information Theory · Computer Science 2016-04-05 Tianyang Bai , Robert W. Heath

We propose a new framework for the analysis of low-rank tensors which lies at the intersection of spectral graph theory and signal processing. As a first step, we present a new graph based low-rank decomposition which approximates the…

Computer Vision and Pattern Recognition · Computer Science 2016-11-16 Nauman Shahid , Francesco Grassi , Pierre Vandergheynst

Davis-Yin splitting (DYS) has found a wide range of applications in optimization, but its linear rates of convergence have not been studied extensively. The scaled relative graph (SRG) simplifies the convergence analysis of operator…

Optimization and Control · Mathematics 2024-04-23 Jongmin Lee , Soheun Yi , Ernest K. Ryu

Scaled relative graphs have been originally introduced in the context of convex optimization and have recently gained attention in the control systems community for the graphical analysis of nonlinear systems. Of particular interest in…

Optimization and Control · Mathematics 2025-07-14 Timo de Groot , Maurice heemels , Sebastiaan van den Eijnden

We investigate the quantum networks that their nodes are considered as quantum harmonic oscillators. The entanglement of the ground state can be used to quantify the amount of information one part of a network shares with the other part of…

Quantum Physics · Physics 2016-11-25 M. A. Jafarizadeh , F. Eghbalifam , S. Nami

Recently there has been increased interest in fitting generative graph models to real-world networks. In particular, Bl\"asius et al. have proposed a framework for systematic evaluation of the expressivity of random graph models. We extend…

Social and Information Networks · Computer Science 2024-05-14 Benjamin Dayan , Marc Kaufmann , Ulysse Schaller

In this work, we propose a general framework for wireless imaging in distributed MIMO wideband communication systems, considering multi-view non-isotropic targets and near-field propagation effects. For indoor scenarios where the objective…

Signal Processing · Electrical Eng. & Systems 2025-08-26 Kangda Zhi , Tianyu Yang , Shuangyang Li , Yi Song , Amir Rezaei , Giuseppe Caire

Rate-splitting multiple access (RSMA) has emerged as a promising technique for efficient interference management in next-generation wireless networks. While most existing studies focus on downlink and single-cell designs, the modeling and…

Information Theory · Computer Science 2025-12-25 Xinyi Guo , Li You , Qiong Liu , Xiqi Gao , Xiang-Gen Xia

In this article, we propose a general nonlinear sufficient dimension reduction (SDR) framework when both the predictor and response lie in some general metric spaces. We construct reproducing kernel Hilbert spaces whose kernels are fully…

Statistics Theory · Mathematics 2022-06-24 Joni Virta , Kuang-Yao Lee , Lexin Li

Graph Representation Learning (GRL) has experienced significant progress as a means to extract structural information in a meaningful way for subsequent learning tasks. Current approaches including shallow embeddings and Graph Neural…

Machine Learning · Computer Science 2020-06-19 Antonia Gogoglou , C. Bayan Bruss , Brian Nguyen , Reza Sarshogh , Keegan E. Hines

Stochastic variance reduced gradient (SVRG) is an accelerated version of stochastic gradient descent based on variance reduction, and is promising for solving large-scale inverse problems. In this work, we analyze SVRG and a regularized…

Numerical Analysis · Mathematics 2026-03-18 Bangti Jin , Zehui Zhou

The scaled graph has been introduced recently as a nonlinear extension of the classical Nyquist plot for linear time-invariant systems. In this paper, we introduce a modified definition for the scaled graph, termed the signed scaled graph…

Systems and Control · Electrical Eng. & Systems 2025-05-02 Sebastiaan van den Eijnden , Chao Chen , Koen Scheres , Thomas Chaffey , Alexander Lanzon

Continued fractions are classical representations of complex objects (for example, real numbers) as sums and inverses of simpler objects (for example, integers). The analogy in linear circuit theory is a chain of series/parallel one-ports:…

Systems and Control · Electrical Eng. & Systems 2022-11-23 Thomas Chaffey , Alberto Padoan

To keep massive MIMO systems cost-efficient, power amplifiers with rather small output dynamic ranges are employed. They may distort the transmit signal and degrade the performance. This paper proposes a distortion aware precoding scheme…

Signal Processing · Electrical Eng. & Systems 2019-05-15 Ali Bereyhi , Saba Asaad , Ralf R. Müller , Symeon Chatzinotas

Visual place recognition is an important subproblem of mobile robot localization. Since it is a special case of image retrieval, the basic source of information is the pairwise similarity of image descriptors. However, the embedding of the…

Computer Vision and Pattern Recognition · Computer Science 2021-02-03 Stefan Schubert , Peer Neubert , Peter Protzel

In this paper, we utilize tools from stochastic geometry to estimate the interference propagation via reconfigurable intelligent surface (RIS) in the millimeter wave (mmWave, 30-300 GHz) band and specifically on the D band (110-170 GHz).…

Information Theory · Computer Science 2021-07-15 Joonas Kokkoniemi , Markku Juntti

Nonlinearities are crucial for capturing complex input-output relationships especially in deep neural networks. However, nonlinear functions often incur various hardware and compute overheads. Meanwhile, stochastic computing (SC) has…

Machine Learning · Computer Science 2024-05-07 Xincheng Feng , Guodong Shen , Jianhao Hu , Meng Li , Ngai Wong

Relativistic quantum systems that admit scattering experiments are quantitatively described by effective field theories, where $S$-matrix kinematics and symmetry considerations are encoded in the operator spectrum of the EFT. In this paper…

High Energy Physics - Theory · Physics 2017-11-22 Brian Henning , Xiaochuan Lu , Tom Melia , Hitoshi Murayama