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This paper proposes a novel loss function, called 'Tube Loss', for simultaneous estimation of bounds of a Prediction Interval (PI) in the regression setup. The PIs obtained by minimizing the empirical risk based on the Tube Loss are shown…

Machine Learning · Computer Science 2026-05-18 Pritam Anand , Tathagata Bandyopadhyay , Suresh Chandra

Cyber-physical systems (CPS) like autonomous vehicles, that utilize learning components, are often sensitive to noise and out-of-distribution (OOD) instances encountered during runtime. As such, safety critical tasks depend upon OOD…

Artificial Intelligence · Computer Science 2023-04-05 Mohit Prashant , Arvind Easwaran

Transmission line failures in power systems propagate and cascade non-locally. This well-known yet counter-intuitive feature makes it even more challenging to optimally and reliably operate these complex networks. In this work we present a…

Optimization and Control · Mathematics 2021-05-12 Alessandro Zocca , Chen Liang , Linqi Guo , Steven H. Low , Adam Wierman

The Collective Perception Service (CPS) enables the enhancement of environmental awareness of Intelligent Transport System Stations (ITS-S) through the exchange of tracking information between stations. As the market penetration of CPS is…

Networking and Internet Architecture · Computer Science 2023-03-20 Shule Li , Vincent Albert Wolff

High percentage of voltage harmonics has been observed in transmission networks due to harmonic currents penetrated from the load side amplified by resonant conditions. This requires the use of suitable harmonic filters in transmission…

Systems and Control · Electrical Eng. & Systems 2019-11-19 Behnam Akbari , Farhad Pourtahmasbi , Hossein Mokhtari

Due to limited metering infrastructure, distribution grids are currently challenged by observability issues. On the other hand, smart meter data, including local voltage magnitudes and power injections, are communicated to the utility…

Optimization and Control · Mathematics 2016-12-21 Siddharth Bhela , Vassilis Kekatos , Sriharsha Veeramachaneni

This paper presents a new algorithm for the lossy compression of scalar data defined on 2D or 3D regular grids, with topological control. Certain techniques allow users to control the pointwise error induced by the compression. However, in…

Image and Video Processing · Electrical Eng. & Systems 2018-02-09 Maxime Soler , Melanie Plainchault , Bruno Conche , Julien Tierny

Topological quantum computing promises intrinsic fault tolerance by encoding quantum information in non-Abelian anyons, where quantum gates are implemented via braiding. While braiding operations are robust against local perturbations, a…

Quantum Physics · Physics 2025-08-15 Themba Hodge , Philipp Frey , Stephan Rachel

Lane topology reasoning techniques play a crucial role in high-definition (HD) mapping and autonomous driving applications. While recent years have witnessed significant advances in this field, there has been limited effort to consolidate…

Robotics · Computer Science 2025-04-04 Yi Yao , Miao Fan , Shengtong Xu , Haoyi Xiong , Xiangzeng Liu , Wenbo Hu , Wenbing Huang

Utilizing the concept of observability, in conjunction with tools from graph theory and optimization, this paper develops an algorithm for network synthesis with privacy guarantees. In particular, we propose an algorithm for the selection…

Systems and Control · Computer Science 2017-08-21 Atiye Alaeddini , Kristi Morgansen , Mehran Mesbahi

In this study, we investigate the problem of classifying, characterizing, and designing efficient algorithms for hard inference problems on planar graphs, in the limit of infinite size. The problem is considered hard if, for a deterministic…

Statistics Theory · Mathematics 2016-01-01 Iuliana Teodorescu , Razvan Teodorescu , Pranav Warman

We consider the problem of measuring the margin of robust feasibility of solutions to a system of nonlinear equations. We study the special case of a system of quadratic equations, which shows up in many practical applications such as the…

Optimization and Control · Mathematics 2023-08-15 Krishnamurthy Dvijotham , Bala Krishnamoorthy , Yunqi Luo , Benjamin Rapone

Voltage stability refers to the ability of a power system to maintain acceptable voltages among all buses under normal operating conditions and after a disturbance. In this paper, a measurement-based voltage stability assessment (VSA)…

Systems and Control · Computer Science 2019-02-27 Zhijie Nie , Xiaohu Zhang , Xiaoying Zhao , Yiran Xu , Di Shi , Jiajun Duan , Zhiwei 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

The uncertainties in material and other properties of structures are usually spatially correlated. We introduce an efficient technique for representing and processing spatially correlated random fields in robust topology optimisation of…

Numerical Analysis · Mathematics 2023-12-27 Ismael Ben-Yelun , Ahmet Oguzhan Yuksel , Fehmi Cirak

Training certifiably robust neural networks remains a notoriously hard problem. On one side, adversarial training optimizes under-approximations of the worst-case loss, which leads to insufficient regularization for certification, while on…

Machine Learning · Computer Science 2023-10-26 Yuhao Mao , Mark Niklas Müller , Marc Fischer , Martin Vechev

We propose a new algorithm for the solution of the robust multiple-load topology optimization problem. The algorithm can be applied to any type of problem, e.g., truss topology, variable thickness sheet or free material optimization. We…

Optimization and Control · Mathematics 2013-07-30 Michal Kocvara

We present a novel prior for tree topology within Bayesian Additive Regression Trees (BART) models. This approach quantifies the hypothetical loss in information and the loss due to complexity associated with choosing the wrong tree…

Methodology · Statistics 2024-12-30 F. Serafini , F. Leisen , C. Villa , K. Wilson

Stream networks, a unique class of spatiotemporal graphs, exhibit complex directional flow constraints and evolving dependencies, making uncertainty quantification a critical yet challenging task. Traditional conformal prediction methods…

Machine Learning · Statistics 2025-11-11 Jifan Zhang , Fangxin Wang , Zihe Song , Philip S. Yu , Kaize Ding , Shixiang Zhu

There is a growing interest in discovery of internet topology at the interface level. A new generation of highly distributed measurement systems is currently being deployed. Unfortunately, the research community has not examined the problem…

Networking and Internet Architecture · Computer Science 2007-05-23 Benoit Donnet , Philippe Raoult , Timur Friedman , Mark Crovella
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