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Several data compressors have been proposed in distributed optimization frameworks of network systems to reduce communication overhead in large-scale applications. In this paper, we demonstrate that effective information compression may…

Systems and Control · Electrical Eng. & Systems 2025-07-22 Zihao Ren , Lei Wang , Xinlei Yi , Xi Wang , Deming Yuan , Tao Yang , Zhengguang Wu , Guodong Shi

We study the problem of enforcing continuous group fairness over windows in data streams. We propose a novel fairness model that ensures group fairness at a finer granularity level (referred to as block) within each sliding window. This…

Machine Learning · Computer Science 2026-01-15 Subhodeep Ghosh , Zhihui Du , Angela Bonifati , Manish Kumar , David Bader , Senjuti Basu Roy

Data structures for efficient sampling from a set of weighted items are an important building block of many applications. However, few parallel solutions are known. We close many of these gaps both for shared-memory and distributed-memory…

Data Structures and Algorithms · Computer Science 2021-07-20 Lorenz Hübschle-Schneider , Peter Sanders

Tensors provide a robust framework for managing high-dimensional data. Consequently, tensor analysis has emerged as an active research area in various domains, including machine learning, signal processing, computer vision, graph analysis,…

Computation · Statistics 2025-10-01 Michele Gallo

Researchers are increasingly incorporating numeric high-order data, i.e., numeric tensors, within their practice. Just like the matrix/vector (MV) paradigm, the development of multi-purpose, but high-performance, sparse data structures and…

Mathematical Software · Computer Science 2018-02-09 Adam P. Harrison , Dileepan Joseph

This paper introduces a scheme for data stream processing which is robust to batch duration. Streaming frameworks process streams in batches retrieved at fixed time intervals. In a common setting a pattern recognition algorithm is applied…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-20 David Tolpin

While several numerical techniques are available for predicting the dynamics of non-Markovian open quantum systems, most struggle with simulations for very long memory and propagation times, e.g., due to superlinear scaling with the number…

Quantum Physics · Physics 2025-05-01 Moritz Cygorek , Jonathan Keeling , Brendon W. Lovett , Erik M. Gauger

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

We propose a streaming algorithm for the binary classification of data based on crowdsourcing. The algorithm learns the competence of each labeller by comparing her labels to those of other labellers on the same tasks and uses this…

Machine Learning · Statistics 2016-02-24 Thomas Bonald , Richard Combes

For a large class of variational quantum circuits, we show how arbitrary-order derivatives can be analytically evaluated in terms of simple parameter-shift rules, i.e., by running the same circuit with different shifts of the parameters. As…

Quantum Physics · Physics 2021-03-03 Andrea Mari , Thomas R. Bromley , Nathan Killoran

Cardinality estimation algorithms receive a stream of elements whose order might be arbitrary, with possible repetitions, and return the number of distinct elements. Such algorithms usually seek to minimize the required storage and…

Data Structures and Algorithms · Computer Science 2015-08-26 Reuven Cohen , Liran Katzir , Aviv Yehezkel

Streaming tensor factorization is a powerful tool for processing high-volume and multi-way temporal data in Internet networks, recommender systems and image/video data analysis. In many applications the full tensor is not known, but instead…

Signal Processing · Electrical Eng. & Systems 2018-09-06 Cole Hawkins , Zheng Zhang

The detection of anomalies in real time is paramount to maintain performance and efficiency across a wide range of applications including web services and smart manufacturing. This paper presents a novel algorithm to detect anomalies in…

Signal Processing · Electrical Eng. & Systems 2020-07-22 Caitríona M. Ryan , Andrew Parnell , Catherine Mahoney

Sliding-window aggregation summarizes the most recent information in a data stream. Users specify how that summary is computed, usually as an associative binary operator because this is the most general known form for which it is possible…

Data Structures and Algorithms · Computer Science 2018-10-29 Kanat Tangwongsan , Martin Hirzel , Scott Schneider

We present multivariate unbiased estimators for second, third, and fourth order cumulants $C_2(x,y)$, $C_3(x,y,z)$, and $C_4(x,y,z,w)$. Many relevant new estimators are derived for cases where some variables are average-free or pairs of…

Statistics Theory · Mathematics 2019-04-30 Fabian Schefczik , Daniel Hägele

Higher-order tensor datasets arise commonly in recommendation systems, neuroimaging, and social networks. Here we develop probable methods for estimating a possibly high rank signal tensor from noisy observations. We consider a generative…

Methodology · Statistics 2023-04-11 Chanwoo Lee , Miaoyan Wang

We propose new algorithms for generating $k$-statistics, multivariate $k$-statistics, polykays and multivariate polykays. The resulting computational times are very fast compared with procedures existing in the literature. Such speeding up…

Statistics Theory · Mathematics 2008-08-01 E. Di Nardo , G. Guarino , D. Senato

We present FQN (Fast $Q_n$), a novel algorithm for fast detection of outliers in data streams. The algorithm works in the sliding window model, checking if an item is an outlier by cleverly computing the $Q_n$ scale estimator in the current…

Data Structures and Algorithms · Computer Science 2020-01-10 Massimo Cafaro , Catiuscia Melle , Marco Pulimeno , Italo Epicoco

There is a growing cross-disciplinary effort in the broad domain of optimization and learning with streams of data, applied to settings where traditional batch optimization techniques cannot produce solutions at time scales that match the…

Optimization and Control · Mathematics 2021-11-29 Emiliano Dall'Anese , Andrea Simonetto , Stephen Becker , Liam Madden

We study the rapidity window dependences of higher order cumulants of conserved charges observed in relativistic heavy ion collisions. The time evolution and the rapidity window dependence of the non-Gaussian fluctuations are described by…

Nuclear Theory · Physics 2015-12-09 Masakiyo Kitazawa