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Unitarity randomized benchmarking (URB) is an experimental procedure for estimating the coherence of implemented quantum gates independently of state preparation and measurement errors. These estimates of the coherence are measured by the…

Quantum Physics · Physics 2019-01-17 Bas Dirkse , Jonas Helsen , Stephanie Wehner

Multilinear Discriminant Analysis (MDA) is a powerful dimension reduction method specifically formulated to deal with tensor data. Precisely, the goal of MDA is to find mode-specific projections that optimally separate tensor data from…

Numerical Analysis · Mathematics 2022-03-03 F. Dufrenois , A. El Ichi , K. Jbilou

This paper presents two novel approaches for uncertainty estimation adapted and extended for the multi-link bus travel time problem. The uncertainty is modeled directly as part of recurrent artificial neural networks, but using two…

Machine Learning · Computer Science 2021-04-15 Niklas Christoffer Petersen , Anders Parslov , Filipe Rodrigues

Traffic anomaly detection (TAD) in driving videos is critical for ensuring the safety of autonomous driving and advanced driver assistance systems. Previous single-stage TAD methods primarily rely on frame prediction, making them vulnerable…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Rongqin Liang , Yuanman Li , Jiantao Zhou , Xia Li

Gradient temporal difference (Gradient TD) algorithms are a popular class of stochastic approximation (SA) algorithms used for policy evaluation in reinforcement learning. Here, we consider Gradient TD algorithms with an additional heavy…

Machine Learning · Computer Science 2021-11-23 Rohan Deb , Shalabh Bhatnagar

Topological Data Analysis (TDA) has emerged as a powerful tool for extracting meaningful features from complex data structures, driving significant advancements in fields such as neuroscience, biology, machine learning, and financial…

Machine Learning · Computer Science 2025-04-02 ZiXin Lin , Nur Fariha Syaqina Zulkepli

We develop in this paper a theoretical framework for the topological study of time series data. Broadly speaking, we describe geometrical and topological properties of sliding window (or time-delay) embeddings, as seen through the lens of…

Algebraic Topology · Mathematics 2013-11-26 Jose Perea , John Harer

Driver distractions are known to be the dominant cause of road accidents. While monitoring systems can detect non-driving-related activities and facilitate reducing the risks, they must be accurate and efficient to be applicable.…

Computer Vision and Pattern Recognition · Computer Science 2022-10-19 Yiming Ma , Victor Sanchez , Soodeh Nikan , Devesh Upadhyay , Bhushan Atote , Tanaya Guha

Psychological research often focuses on examining group differences in a set of numeric variables for which normality is doubtful. Longitudinal studies enable the investigation of developmental trends. For instance, a recent study…

Applications · Statistics 2023-10-05 Ricarda Graf , Marina Zeldovich , Sarah Friedrich

Topological Data Analysis (TDA) is a rapidly growing field, which studies methods for learning underlying topological structures present in complex data representations. TDA methods have found recent success in extracting useful geometric…

Methodology · Statistics 2021-03-09 Xiaojun Zheng , Simon Mak , Yao Xie

Dynamic time warping (DTW) is widely used to align time series evolving on mismatched timescales, yet most applications reduce alignment to a scalar distance. We introduce warp quantification analysis (WQA), a framework that derives…

Computational Engineering, Finance, and Science · Computer Science 2026-01-27 Sir-Lord Wiafe , Vince D. Calhoun

Wasserstein Discriminant Analysis (WDA) is a new supervised method that can improve classification of high-dimensional data by computing a suitable linear map onto a lower dimensional subspace. Following the blueprint of classical Linear…

Machine Learning · Statistics 2018-09-21 Rémi Flamary , Marco Cuturi , Nicolas Courty , Alain Rakotomamonjy

Sliding-window aggregation is a widely-used approach for extracting insights from the most recent portion of a data stream. The aggregations of interest can usually be expressed as binary operators that are associative but not necessarily…

Databases · Computer Science 2020-09-30 Kanat Tangwongsan , Martin Hirzel , Scott Schneider

Industrial Anomaly Detection (IAD) is a subproblem within Computer Vision Anomaly Detection that has been receiving increasing amounts of attention due to its applicability to real-life scenarios. Recent research has focused on how to…

Computer Vision and Pattern Recognition · Computer Science 2025-09-23 Mariette Schönfeld , Wannes Meert , Hendrik Blockeel

As an important information for traffic condition evaluation, trip planning, transportation management, etc., average travel speed for a road means the average speed of vehicles travelling through this road in a given time duration.…

Other Computer Science · Computer Science 2015-04-27 Lu Shao , Cheng Wang , Changjun Jiang

This paper presents a new method for anomaly detection in automated systems with time and compute sensitive requirements, such as autonomous driving, with unparalleled efficiency. As systems like autonomous driving become increasingly…

Computer Vision and Pattern Recognition · Computer Science 2025-03-12 Andrew Gao , Jun Liu

A central problem in data-driven scientific inquiry is how to interpret structure in noisy, high-dimensional data. Topological data analysis (TDA) provides a solution via persistent homology, which encodes features of interest as…

Algebraic Topology · Mathematics 2026-02-04 Christian Lentz , Gregory Henselman-Petrusek , Lori Ziegelmeier

RED (Random Early Detection) has been suggested when multiple TCP sessions are multiplexed through a bottleneck buffer. The idea is to detect congestion before the buffer overflows by dropping or marking packets with a probability that…

Probability · Mathematics 2007-05-23 D. R. McDonald , J. Reynier

To analyze complex and heterogeneous real-time embedded systems, recent works have proposed interface techniques between real-time calculus (RTC) and timed automata (TA), in order to take advantage of the strengths of each technique for…

Performance · Computer Science 2010-06-29 Karine Altisen , Yanhong Liu , Matthieu Moy

To analyze complex and heterogeneous real-time embedded systems, recent works have proposed interface techniques between real-time calculus (RTC) and timed automata (TA), in order to take advantage of the strengths of each technique for…

Performance · Computer Science 2010-04-16 Karine Altisen , Yanhong Liu , Matthieu Moy