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This paper aims at determining under which conditions the semi-discrete optimal transport is twice differentiable with respect to the parameters of the discrete measure and exhibits numerical applications. The discussion focuses on minimal…

Numerical Analysis · Mathematics 2018-03-05 Frédéric de Gournay , Jonas Kahn , Léo Lebrat

This paper considers secrecy enhancement mechanisms in visible light communication (VLC) systems with spatially distributed passive eavesdroppers (EDs) under the assumption that there are multiple LED transmitters and one legitimate…

Information Theory · Computer Science 2017-07-24 Sunghwan Cho , Gaojie Chen , Justin P. Coon

The potential of applying diffusion models (DMs) for multiple antenna communications is discussed. A unified framework of applying DM for multiple antenna tasks is first proposed. Then, the tasks are innovatively divided into two…

Signal Processing · Electrical Eng. & Systems 2025-02-05 Jia Guo , Xiaoxia Xu , Yuanwei Liu , Arumugam Nallanathan

We describe a variational approach to solving optimal stopping problems for diffusion processes, as an alternative to the traditional approach based on the solution of the free-boundary problem. We study smooth pasting conditions from a…

Probability · Mathematics 2015-08-06 V. I. Arkin , A. D. Slastnikov

In this paper we study energy efficient joint power allocation and beamforming for coordinated multicell multiuser downlink systems. The considered optimization problem is in a non-convex fractional form and hard to tackle. We propose to…

Information Theory · Computer Science 2013-10-09 He Shiwen , Huang Yongming , Jin Shi , Yang Luxi

We present the model of a diffusion-absorption process in a system which consists of two media separated by a thin partially permeable membrane. The kind of diffusion as well as the parameters of the process may be different in both media.…

Statistical Mechanics · Physics 2019-02-27 Tadeusz Kosztołowicz

Caching popular content in the storage of small cells is being considered as an efficient technique to complement limited backhaul of small cells in ultra-dense heterogeneous cellular networks. Limited storage capacity of the small cells…

Information Theory · Computer Science 2017-03-24 Shankar Krishnan , Mehrnaz Afshang , Harpreet S. Dhillon

In this letter, we study the robust beamforming problem for the multi-antenna wireless broadcasting system with simultaneous information and power transmission, under the assumption of imperfect channel state information (CSI) at the…

Information Theory · Computer Science 2012-10-23 Zhengzheng Xiang , Meixia Tao

This paper presents and evaluates a framework for the coupling of subdomain-local projection-based reduced order models (PROMs) using the Schwarz alternating method following a domain decomposition (DD) of the spatial domain on which a…

Numerical Analysis · Mathematics 2024-10-08 Christopher R. Wentland , Francesco Rizzi , Joshua Barnett , Irina Tezaur

In this work, we investigate a distributed optimal control problem for an extended phase field system of Cahn--Hilliard type which physical context is that of tumor growth dynamics. In a previous contribution, the author has already studied…

Analysis of PDEs · Mathematics 2019-08-30 Andrea Signori

We consider a transmission problem consisting of a semilinear parabolic equation in a general non-smooth setting with emphasis on rough interfaces which bear a fractal-like geometry and nonlinear dynamic (possibly, nonlocal)\ boundary…

Analysis of PDEs · Mathematics 2016-01-20 Ciprian G. Gal , Mahamadi Warma

In this paper, we propose beamforming schemes to simultaneously transmit data securely to multiple information receivers (IRs) while transferring power wirelessly to multiple energy-harvesting receivers (ERs). Taking into account the…

Information Theory · Computer Science 2017-05-19 Tuan Anh Le , Quoc-Tuan Vien , Huan X. Nguyen , Derrick Wing Kwan Ng , Robert Schober

In this paper, a thermal-dynamical consistent model for mass transfer across permeable moving interfaces is proposed by using the energy variation method. We consider a restricted diffusion problem where the flux across the interface…

Numerical Analysis · Mathematics 2022-06-15 Yuzhe Qin , Huaxiong Huang , Yi Zhu , Chun Liu , Shixin Xu

This article is concerned with the second order necessary conditions for the stochastic optimal control problem of stochastic evolution equation with model uncertainty when the traditional Pontryagin-type maximum principle holds trivially…

Optimization and Control · Mathematics 2025-12-09 Guangdong Jing

In this paper, we perform receiver design for a diffusive molecular communication environment. Our model includes flow in any direction, sources of information molecules in addition to the transmitter, and enzymes in the propagation…

Information Theory · Computer Science 2014-10-17 Adam Noel , Karen C. Cheung , Robert Schober

Comparing images captured by disparate sensors is a common challenge in remote sensing. This requires image translation -- converting imagery from one sensor domain to another while preserving the original content. Denoising Diffusion…

Computer Vision and Pattern Recognition · Computer Science 2024-12-05 João Gabriel Vinholi , Marco Chini , Anis Amziane , Renato Machado , Danilo Silva , Patrick Matgen

We consider the numerical approximation of boundary conditions in radiative transfer problems by a perfectly matched layer approach. The main idea is to extend the computational domain by an absorbing layer and to use an appropriate…

Numerical Analysis · Mathematics 2018-02-26 Herbert Egger , Matthias Schlottbom

This paper investigates a singular stochastic control problem for a multi-dimensional regime-switching diffusion process confined in an unbounded domain. The objective is to maximize the total expected discounted rewards from exerting the…

Optimization and Control · Mathematics 2016-08-02 Qingshuo Song , Chao Zhu

A new diffuse interface model for a two-phase flow of two incompressible fluids with different densities is introduced using methods from rational continuum mechanics. The model fulfills local and global dissipation inequalities and is also…

Fluid Dynamics · Physics 2010-11-03 Helmut Abels , Harald Garcke , Günther Grün

Transfer learning aims to improve inference in a target domain by leveraging information from related source domains, but its effectiveness critically depends on how cross-domain heterogeneity is modeled and controlled. When the conditional…

Statistics Theory · Mathematics 2026-02-23 Hanxiao Chen , Debarghya Mukherjee