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In this article we will analyse how to compute the contribution of each input value to its aggregate output in some nonlinear models. Regression and classification applications, together with related algorithms for deep neural networks are…

Machine Learning · Computer Science 2022-07-26 Cosimo Izzo

In this paper, we consider the temporal pattern in traffic flow time series, and implement a deep learning model for traffic flow prediction. Detrending based methods decompose original flow series into trend and residual series, in which…

Machine Learning · Computer Science 2017-07-12 Xingyuan Dai , Rui Fu , Yilun Lin , Li Li , Fei-Yue Wang

In all but the most trivial optimization problems, the structure of the solutions exhibit complex interdependencies between the input parameters. Decades of research with stochastic search techniques has shown the benefit of explicitly…

Neural and Evolutionary Computing · Computer Science 2017-03-23 Shumeet Baluja

In this work we present an application of modern deep learning methodologies to the numerical solution of partial differential equations in transport models. More specifically, we employ a supervised deep neural network that takes into…

Numerical Analysis · Mathematics 2021-02-10 Eduardo Abreu , Joao B. Florindo

Deep learning has been extended to a number of new domains with critical success, though some traditional orienteering problems such as the Travelling Salesman Problem (TSP) and its variants are not commonly solved using such techniques.…

Machine Learning · Computer Science 2019-03-11 Wei Shao , Flora D. Salim , Jeffrey Chan , Sean Morrison , Fabio Zambetta

This work investigates the use of deep learning to perform user cell association for sum-rate maximization in Massive MIMO networks. It is shown how a deep neural network can be trained to approach the optimal association rule with a much…

Information Theory · Computer Science 2018-12-18 Alessio Zappone , Luca Sanguinetti , Merouane Debbah

The emergence of new wireless technologies together with the requirement of massive connectivity results in several technical issues such as excessive interference, high computational demand for signal processing, and lengthy processing…

Signal Processing · Electrical Eng. & Systems 2021-10-25 Firas Fredj , Yasser Al-Eryani , Setareh Maghsudi , Mohamed Akrout , Ekram Hossain

Background: Floods are the most common natural disaster in the world, affecting the lives of hundreds of millions. Flood forecasting is therefore a vitally important endeavor, typically achieved using physical water flow simulations, which…

Machine Learning · Computer Science 2021-11-02 Niv Giladi , Zvika Ben-Haim , Sella Nevo , Yossi Matias , Daniel Soudry

Despite a lack of theoretical understanding, deep neural networks have achieved unparalleled performance in a wide range of applications. On the other hand, shallow representation learning with component analysis is associated with rich…

Machine Learning · Computer Science 2018-03-20 Calvin Murdock , Ming-Fang Chang , Simon Lucey

In this paper, the task offloading from vehicles with random velocities is optimized via a novel dynamic improvement framework. Particularly, in a vehicular network with multiple vehicles and base stations (BSs), computing tasks of vehicles…

Systems and Control · Electrical Eng. & Systems 2025-01-22 Qianren Li , Yuncong Hong , Bojie Lv , Rui Wang

In this paper, we propose the nonlinearity generation method to speed up and stabilize the training of deep convolutional neural networks. The proposed method modifies a family of activation functions as nonlinearity generators (NGs). NGs…

Machine Learning · Computer Science 2017-10-18 Yang Jiang , Zeyang Dou , Qun Hao , Jie Cao , Kun Gao , Xi Chen

Unsupervised deep learning approaches have recently become one of the crucial research areas in imaging owing to their ability to learn expressive and powerful reconstruction operators even when paired high-quality training data is scarcely…

Computer Vision and Pattern Recognition · Computer Science 2023-11-30 Marcello Carioni , Subhadip Mukherjee , Hong Ye Tan , Junqi Tang

This paper studies strategies to optimize the lane configuration of a transportation network for a given set of Origin-Destination demands using a planning macroscopic network flow model. The lane reversal problem is, in general, NP-hard…

Optimization and Control · Mathematics 2021-07-16 Salomon Wollenstein-Betech , Ioannis Ch. Paschalidis , Christos G. Cassandras

Downsampling produces coarsened, multi-resolution representations of data and it is used, for example, to produce lossy compression and visualization of large images, reduce computational costs, and boost deep neural representation…

Machine Learning · Computer Science 2023-07-04 Davide Bacciu , Alessio Conte , Francesco Landolfi

In this paper, we propose a numerical scheme for structured population models defined on a separable and complete metric space. In particular, we consider a generalized version of a transport equation with additional growth and non-local…

Numerical Analysis · Mathematics 2026-03-19 Carolin Lindow , Christian Düll , Piotr Gwiazda , Błażej Miasojedow , Anna Marciniak-Czochra

In this paper, we propose a fully distributed algorithm for frequency offsets estimation in decentralized systems. With the proposed algorithm, each node estimates its frequency offsets by local computations and limited exchange of…

Information Theory · Computer Science 2016-07-12 Jian Du , Yik-Chung Wu

Multilevel techniques are efficient approaches for solving the large linear systems that arise from discretized partial differential equations and other problems. While geometric multigrid requires detailed knowledge about the underlying…

Numerical Analysis · Mathematics 2023-01-23 Tareq. U. Zaman , Scott P. MacLachlan , Luke N. Olson , Matt West

We propose a simple subsampling scheme for fast randomized approximate computation of optimal transport distances. This scheme operates on a random subset of the full data and can use any exact algorithm as a black-box back-end, including…

Computation · Statistics 2020-12-17 Max Sommerfeld , Jörn Schrieber , Yoav Zemel , Axel Munk

Deep learning-based methods have revolutionized the field of imaging inverse problems, yielding state-of-the-art performance across various imaging domains. The best performing networks incorporate the imaging operator within the network…

Computer Vision and Pattern Recognition · Computer Science 2026-01-06 Romain Vo , Julián Tachella

There is an intimate connection between numerical upscaling of multiscale PDEs and scattered data approximation of heterogeneous functions: the coarse variables selected for deriving an upscaled equation (in the former) correspond to the…

Numerical Analysis · Mathematics 2021-10-28 Yifan Chen , Thomas Y. Hou