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In this work, we introduce a new methodology for inferring the interaction structure of discrete valued time series which are Poisson distributed. While most related methods are premised on continuous state stochastic processes, in fact,…

Methodology · Statistics 2021-08-12 Jeremie Fish , Jie Sun , Erik Bollt

We investigate the limiting behavior of discrete determinantal point processes (DPPs) towards continuous DPPs when the size of the set to sample from goes to infinity. We propose a non-asymptotic characterization of this limit in terms of…

Probability · Mathematics 2026-03-03 Hugo Jaquard , Nicolas Keriven

The Low Earth Orbit (LEO) satellite industry is undergoing rapid expansion, with operators competitively launching satellites due to the first-come, first-served principle governing orbital rights. This has led to the formation of…

Information Theory · Computer Science 2025-11-04 Seyong Kim , Jinseok Choi , Namyoon Lee , François Baccelli , Jeonghun Park

Since the development of 4G networks, Multiple-Input Multiple-Output (MIMO) and later multiple-user MIMO became a mature part to increase the spectral efficiency of mobile communication networks. An essential part of simultaneous…

Signal Processing · Electrical Eng. & Systems 2018-08-13 Martin Kurras , Sida Dai , Stephan Jaeckel , Lars Thiele

In this chapter we review some examples, methods, and recent results involving comparison of clustering properties of point processes. Our approach is founded on some basic observations allowing us to consider void probabilities and moment…

Probability · Mathematics 2014-05-23 Bartłomiej Błaszczyszyn , D. Yogeshwaran

Classification in the sense of similarity is an important issue. In this paper, we study similarity classification in Topological Data Analysis. We define a pseudometric $d_{S}^{(p)}$ to measure the distance between barcodes generated by…

Algebraic Topology · Mathematics 2024-11-18 Jiaxing He , Bingzhe Hou , Tieru Wu , Yang Cao

The modeling of high-dimensional spatio-temporal processes presents a fundamental dichotomy between the probabilistic rigor of classical geostatistics and the flexible, high-capacity representations of deep learning. While Gaussian…

Machine Learning · Computer Science 2025-12-22 Yuri Calleo

This paper presents an optimization framework for Spatial Packaging of Interconnected Systems with Physical Interactions (SPI2) that addresses the geometric challenges of three-dimensional component placement and routing. While SPI2…

Computational Engineering, Finance, and Science · Computer Science 2026-05-19 S. Westerhof , T. Hofman

Numerous industrial thermal processes and fluid processes can be described by distributed parameter systems (DPSs), wherein many process parameters and variables vary in space and time. Early internal abnormalities in the DPS may develop…

Signal Processing · Electrical Eng. & Systems 2023-12-04 Peng Wei , Han-Xiong Li

As the realization of vehicular communication such as vehicle-to-vehicle (V2V) or vehicle-to-infrastructure (V2I) is imperative for the autonomous driving cars, the understanding of realistic vehicle-to-everything (V2X) models is needed.…

Networking and Internet Architecture · Computer Science 2018-06-27 Yae Jee Cho , Kaibin Huang , Chan-Byoung Chae

In this work we consider a dynamical cellular communication network in which mobile BSs are modeled as a homogeneous Poisson point process on $\mathbb R^2$. Each base station moves at a constant speed in a random direction. A typical user…

Probability · Mathematics 2026-05-19 Sanjoy Kumar Jhawar , François Baccelli

We study an inhomogeneous random connection model in the connectivity regime. The vertex set of the graph is a homogeneous Poisson point process $\mathcal{P}_s$ of intensity $s>0$ on the unit cube…

Probability · Mathematics 2021-06-23 Srikanth K. Iyer , Sanjoy Kr. Jhawar

We study maximum likelihood estimation for spatial generalized linear mixed models with Gaussian process approximations using a stochastic Newton-Raphson algorithm. We consider two Gaussian Process approximations in this context: spectral…

Methodology · Statistics 2026-05-19 Samuel I. Watson , Yixin Wang , Emanuele Giorgi

Synthetic copolymers and biopolymers, such as polypeptides and double-stranded DNA, often exhibit strong variations in bending stiffness along their contour, which can significantly impact conformational behavior at larger scales. To…

Soft Condensed Matter · Physics 2025-11-04 Yannick Witzky , Friederike Schmid , Arash Nikoubashman

In this paper, a new multi-hop weighted clustering procedure is proposed for homogeneous Mobile Ad hoc networks. The algorithm generates double star embedded non-overlapping cluster structures, where each cluster is managed by a leader node…

Discrete Mathematics · Computer Science 2011-05-02 T. N. Janakiraman , A. Senthil Thilak

In this paper, we present a second order spatial compatibility (SC^2) measure based method for efficient and robust point cloud registration (PCR), called SC^2-PCR. Firstly, we propose a second order spatial compatibility (SC^2) measure to…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Zhi Chen , Kun Sun , Fan Yang , Wenbing Tao

In terahertz (THz) massive multiple-input multiple-output (MIMO) systems, the combination of huge bandwidth and massive antennas results in severe beam split, thus making the conventional phase-shifter based hybrid precoding architecture…

Information Theory · Computer Science 2022-11-29 Jiabao Gao , Caijun Zhong , Geoffrey Ye Li , Joseph B. Soriaga , Arash Behboodi

Multi-cell cooperation is a promising approach for mitigating inter-cell interference in dense cellular networks. Quantifying the performance of multi-cell cooperation is challenging as it integrates physical-layer techniques and network…

Information Theory · Computer Science 2011-03-23 Kaibin Huang , Jeffrey G. Andrews

Device-to-device (D2D) communications can result in spectral efficiency (SE) improvement of cellular networks when interference is addressed properly. For further improvement of overall network sum-rate, it can be assumed that multiple D2D…

Information Theory · Computer Science 2021-12-21 Mohammad Hossein Bahonar , Mohammad Javad Omidi

Peer-to-peer deep learning algorithms are enabling distributed edge devices to collaboratively train deep neural networks without exchanging raw training data or relying on a central server. Peer-to-Peer Learning (P2PL) and other algorithms…

Machine Learning · Computer Science 2023-12-22 Srinivasa Pranav , José M. F. Moura
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