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We propose an image restoration algorithm that can control the perceptual quality and/or the mean square error (MSE) of any pre-trained model, trading one over the other at test time. Our algorithm is few-shot: Given about a dozen images…

Artificial Intelligence · Computer Science 2024-08-13 Theo Adrai , Guy Ohayon , Tomer Michaeli , Michael Elad

We consider the problem of decomposing higher-order moment tensors, i.e., the sum of symmetric outer products of data vectors. Such a decomposition can be used to estimate the means in a Gaussian mixture model and for other applications in…

Numerical Analysis · Mathematics 2020-10-06 Samantha Sherman , Tamara G. Kolda

This paper studies the traffic state estimation (TSE) problem using sparse observations from mobile sensors. Most existing TSE methods either rely on well-defined physical traffic flow models or require large amounts of simulation data as…

Machine Learning · Computer Science 2022-06-15 Xudong Wang , Yuankai Wu , Dingyi Zhuang , Lijun Sun

Mapping origin-destination (OD) network traffic is pivotal for network management and proactive security tasks. However, lack of sufficient flow-level measurements as well as potential anomalies pose major challenges towards this goal.…

Networking and Internet Architecture · Computer Science 2014-07-08 Morteza Mardani , Georgios B. Giannakis

An alternative to extrinsic information transfer (EXIT) charts called mean squared error (MSE) charts that use a measure related to the MSE instead of mutual information is proposed. Using the relationship between mutual information and…

Information Theory · Computer Science 2007-07-13 Kapil Bhattad , Krishna Narayanan

A novel predictor for traffic flow forecasting, namely spatio-temporal Bayesian network predictor, is proposed. Unlike existing methods, our approach incorporates all the spatial and temporal information available in a transportation…

Artificial Intelligence · Computer Science 2017-12-27 Shiliang Sun , Changshui Zhang , Yi Zhang

Network tomography has been regarded as one of the most promising methodologies for performance evaluation and diagnosis of the massive and decentralized Internet. This paper proposes a new estimation approach for solving a class of inverse…

Applications · Statistics 2007-08-22 Aiyou Chen , Jin Cao

In intelligent transportation systems, traffic data imputation, estimating the missing value from partially observed data is an inevitable and challenging task. Previous studies have not fully considered traffic data's multidimensionality…

Machine Learning · Statistics 2023-11-01 Wenwu Gong , Zhejun Huang , Lili Yang

This paper studies a general framework for high-order tensor SVD. We propose a new computationally efficient algorithm, tensor-train orthogonal iteration (TTOI), that aims to estimate the low tensor-train rank structure from the noisy…

Statistics Theory · Mathematics 2022-01-26 Yuchen Zhou , Anru R. Zhang , Lili Zheng , Yazhen Wang

Accurately estimating spatiotemporal traffic states on freeways is a significant challenge due to limited sensor deployment and potential data corruption. In this study, we propose an efficient and robust low-rank model for precise…

Systems and Control · Electrical Eng. & Systems 2024-11-13 Yang He , Chengchuan An , Yuheng Jia , Jiachao Liu , Zhenbo Lu , Jingxin Xia

Many large-scale machine learning problems involve estimating an unknown parameter $\theta_{i}$ for each of many items. For example, a key problem in sponsored search is to estimate the click through rate (CTR) of each of billions of…

Applications · Statistics 2015-11-27 Omkar Muralidharan , Amir Najmi

Yehuda Vardi introduced the term network tomography and was the first to propose and study how statistical inverse methods could be adapted to attack important network problems (Vardi, 1996). More recently, in one of his final papers, Vardi…

Methodology · Statistics 2007-08-22 A. Adhikari , L. Denby , J. M. Landwehr , J. Meloche

We study estimation and detection of high-order moment and cumulant tensors from $n$ i.i.d.\ observations of a $p$-dimensional random vector, with performance measured in tensor spectral norm. Under sub-Gaussianity, we show that the minimax…

Statistics Theory · Mathematics 2026-04-07 Runshi Tang , Yuefeng Han , Anru R. Zhang

This paper develops a computational framework for Multi-Period Martingale Optimal Transport (MMOT), addressing convergence rates, algorithmic efficiency, and financial calibration. Our contributions include: (1) Theoretical analysis: We…

Computational Finance · Quantitative Finance 2026-04-21 Sri Sairam Gautam B

Integration against, and hence sampling from, high-dimensional probability distributions is of essential importance in many application areas and has been an active research area for decades. One approach that has drawn increasing attention…

Numerical Analysis · Mathematics 2023-08-22 Ilja Klebanov , T. J. Sullivan

We present an algorithm for the problem of linear distributed estimation of a parameter in a network where a set of agents are successively taking measurements. The approach considers a roaming token in a network that carries the estimate,…

Systems and Control · Computer Science 2018-07-05 Lucas Balthazar , João Xavier , Bruno Sinopoli

A communication network can be modeled as a directed connected graph with edge weights that characterize performance metrics such as loss and delay. Network tomography aims to infer these edge weights from their pathwise versions measured…

Optimization and Control · Mathematics 2019-08-12 Mahmood Ettehad , Nick Duffield , Gregory Berkolaiko

Binomial random intersection graphs can be used as parsimonious statistical models of large and sparse networks, with one parameter for the average degree and another for transitivity, the tendency of neighbours of a node to be connected.…

Social and Information Networks · Computer Science 2018-06-26 Joona Karjalainen , Lasse Leskelä

This paper addresses the problem of short-term traffic prediction for signalized traffic operations management. Specifically, we focus on predicting sensor states in high-resolution (second-by-second). This contrasts with traditional…

Optimization and Control · Mathematics 2022-04-12 Wenqing Li , Chuhan Yang , Saif Eddin Jabari

Mobile sensing enabled by GPS or smart phones has become an increasingly important source of traffic data. For sufficient coverage of the traffic stream, it is important to maintain a reasonable penetration rate of probe vehicles. From the…

Analysis of PDEs · Mathematics 2016-03-29 Benedetto Piccoli , Ke Han , Terry L. Friesz , Tao Yao , Junqing Tang
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