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We consider the fundamental problem of sampling the optimal transport coupling between given source and target distributions. In certain cases, the optimal transport plan takes the form of a one-to-one mapping from the source support to the…

Machine Learning · Computer Science 2025-10-28 Mara Daniels , Tyler Maunu , Paul Hand

Crowd dynamics and many large biological systems can be described as populations of agents or particles, which can only be observed on aggregate population level. Identifying the dynamics of agents is crucial for understanding these large…

Optimization and Control · Mathematics 2025-03-18 Filip Elvander , Isabel Haasler

We consider the problem of optimal power allocation in a sensor network where the sensors observe a dynamic parameter in noise and coherently amplify and forward their observations to a fusion center (FC). The FC uses the observations in a…

Information Theory · Computer Science 2015-06-17 Feng Jiang , Jie Chen , A. Lee Swindlehurst

Quantifying how spatial disorder affects the movement of a diffusing particle or agent is fundamental to target search studies. When diffusion occurs on a network, that is on a highly disordered environment, we lack the mathematical tools…

Statistical Mechanics · Physics 2025-08-15 Daniel Marris , Chittaranjan Hens , Subrata Ghosh , Luca Giuggioli

Sparse sensor placement is a central challenge in the efficient characterization of complex systems when the cost of acquiring and processing data is high. Leading sparse sensing methods typically exploit either spatial or temporal…

Optimization and Control · Mathematics 2022-06-08 Thomas L. Mohren , Thomas L. Daniel , Steven L. Brunton , Bingni W. Brunton

The modeling of phenomenological structure is a crucial aspect in inverse imaging problems. One emerging modeling tool in computational imaging is the optimal transport framework. Its ability to model geometric displacements across an…

Image and Video Processing · Electrical Eng. & Systems 2020-05-12 John Lee , Nicholas P. Bertrand , Christopher J. Rozell

Traffic flow forecasting is a crucial task in transportation management and planning. The main challenges for traffic flow forecasting are that (1) as the length of prediction time increases, the accuracy of prediction will decrease; (2)…

Artificial Intelligence · Computer Science 2024-05-13 Jianli Xiao , Baichao Long

We present a method to extract temporal hypergraphs from sequences of 2-dimensional functions obtained as solutions to Optimal Transport problems. We investigate optimality principles exhibited by these solutions from the point of view of…

Discrete Mathematics · Computer Science 2023-01-10 Diego Baptista , Caterina De Bacco

Traffic forecasting, a crucial application of spatio-temporal graph (STG) learning, has traditionally relied on deterministic models for accurate point estimations. Yet, these models fall short of quantifying future uncertainties. Recently,…

Machine Learning · Computer Science 2024-08-08 Lequan Lin , Dai Shi , Andi Han , Junbin Gao

A new frequency switching receiver structure is proposed for simultaneous wireless information and power transfer in multi-carrier communication systems. Each subcarrier is switched to either the energy harvesting unit or the information…

Information Theory · Computer Science 2025-09-23 Dogay Altinel , Gunes Karabulut Kurt

This paper explores potential improvements to the Spatial-Temporal Matching algorithm for aligning the GPS trajectories to road networks. While this algorithm is effective, it presents some limitations in computational efficiency and the…

Machine Learning · Computer Science 2026-03-12 Ali Yousefian , Arianna Burzacchi , Simone Vantini

We present a bipartite network model that captures intermediate stages of optimization by blending the Maximum Entropy approach with Optimal Transport. In this framework, the network's constraints define the total mass each node can supply…

Statistical Mechanics · Physics 2026-02-05 Lorenzo Buffa , Dario Mazzilli , Riccardo Piombo , Fabio Saracco , Giulio Cimini , Aurelio Patelli

In applications like environment monitoring and pollution control, physical quantities are modeled by spatio-temporal fields. It is of interest to learn the statistical distribution of such fields as a function of space, time or both. In…

Statistics Theory · Mathematics 2023-11-07 Meera Pai

Spreading processes, e.g. epidemics, wildfires and rumors, are often modeled on static networks. However, their underlying network structures, e.g. changing contacts in social networks, different weather forecasts for wildfires, are due to…

Systems and Control · Electrical Eng. & Systems 2023-02-07 Vera L. J. Somers , Ian R. Manchester

Several previous works have addressed the inherent trade-off between allocating resources in the power and time domains to pilot and data signals in multiple input multiple output systems over block-fading channels. In particular, when the…

Signal Processing · Electrical Eng. & Systems 2024-01-25 Sajad Daei , Gabor Fodor , Mikael Skoglund , Miklos Telek

This work investigates a multi-user, multi-antenna uplink wireless system, in which multiple users transmit signals to a base station. Prior research has explored the potential for linear growth in spectral efficiency by employing multiple…

Signal Processing · Electrical Eng. & Systems 2025-06-27 Sajad Daei , Gabor Fodor , Mikael Skoglund

Many spectral unmixing methods rely on the non-negative decomposition of spectral data onto a dictionary of spectral templates. In particular, state-of-the-art music transcription systems decompose the spectrogram of the input signal onto a…

Machine Learning · Statistics 2016-10-11 Rémi Flamary , Cédric Févotte , Nicolas Courty , Valentin Emiya

This paper aims to proactively diagnose and manage frequency instability risks from a steady-state perspective, without the need for derivative-dependent transient modeling. Specifically, we jointly address two questions (Q1) Survivability:…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Swadesh Vhakta , Denis Osipov , Reetam Sen Biswas , Amritanshu Pandey , Seyyedali Hosseinalipour , Shimiao Li

This paper considers a distributed wave-based sensing system that probes a scene consisting of multiple interacting idealized targets. Each sensor is a collocated transmit-receive pair that is capable of transmitting arbitrary wideband…

Optics · Physics 2015-10-27 Jerry Kim , Margaret Cheney , Eric Mokole

Traffic forecasting has emerged as a crucial research area in the development of smart cities. Although various neural networks with intricate architectures have been developed to address this problem, they still face two key challenges: i)…

Machine Learning · Computer Science 2024-08-27 Jianxiang Zhou , Erdong Liu , Wei Chen , Siru Zhong , Yuxuan Liang