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Quantifying errors and losses due to the use of Floating-Point (FP) calculations in industrial scientific computing codes is an important part of the Verification, Validation and Uncertainty Quantification (VVUQ) process. Stochastic…

Constraint satisfaction problems (CSP's) and data stream models are two powerful abstractions to capture a wide variety of problems arising in different domains of computer science. Developments in the two communities have mostly occurred…

Data Structures and Algorithms · Computer Science 2021-05-04 A. Pavan , N. V. Vinodchandran , Arnab Bhattacharyya , Kuldeep S. Meel

The exact computation of the number of distinct elements (frequency moment $F_0$) is a fundamental problem in the study of data streaming algorithms. We denote the length of the stream by $n$ where each symbol is drawn from a universe of…

Computational Complexity · Computer Science 2014-02-28 Hartmut Klauck , Ved Prakash

In many data classification problems, there is no linear relationship between an explanatory and the dependent variables. Instead, there may be ranges of the input variable for which the observed outcome is signficantly more or less likely.…

Machine Learning · Computer Science 2016-04-13 Mallory Sheth , Roy Welsch , Natasha Markuzon

Factorization machines (FMs) are a powerful tool for regression and classification in the context of sparse observations, that has been successfully applied to collaborative filtering, especially when side information over users or items is…

Machine Learning · Computer Science 2022-12-21 Jill-Jênn Vie , Tomas Rigaux , Hisashi Kashima

Stream mining poses unique challenges to machine learning: predictive models are required to be scalable, incrementally trainable, must remain bounded in size (even when the data stream is arbitrarily long), and be nonparametric in order to…

Machine Learning · Statistics 2015-08-21 Rocco De Rosa , Francesco Orabona , Nicolò Cesa-Bianchi

Autoregressive moving average (ARMA) models are widely used for analyzing time series data. However, standard likelihood-based inference methodology for ARMA models has avoidable limitations. We show that currently accepted standards for…

Methodology · Statistics 2025-10-28 Jesse Wheeler , Edward L. Ionides

We study the problem of estimating finite sample confidence intervals of the mean of a normal population under the constraint of differential privacy. We consider both the known and unknown variance cases and construct differentially…

Cryptography and Security · Computer Science 2017-11-13 Vishesh Karwa , Salil Vadhan

Differentially private federated learning is crucial for maintaining privacy in distributed environments. This paper investigates the challenges of high-dimensional estimation and inference under the constraints of differential privacy.…

Machine Learning · Statistics 2024-04-26 Zhe Zhang , Ryumei Nakada , Linjun Zhang

Stochastic fluid-fluid models (SFFMs) offer powerful modeling ability for a wide range of real-life systems of significance. The existing theoretical framework for this class of models is in terms of operator-analytic methods. For the first…

Probability · Mathematics 2022-03-01 Nigel G. Bean , Małgorzata M. O'Reilly , Zbigniew Palmowski

Fine Grained Visual Categorization (FGVC) remains a challenging task in computer vision due to subtle inter class differences and fragile feature representations. Existing methods struggle in fine grained scenarios, especially when labeled…

Computer Vision and Pattern Recognition · Computer Science 2025-06-30 Mingquan Liu

We study the problem of differentially private continual counting in the unbounded setting where the input size $n$ is not known in advance. Current state-of-the-art algorithms based on optimal instantiations of the matrix mechanism cannot…

Cryptography and Security · Computer Science 2025-12-02 Ben Jacobsen , Kassem Fawaz

Estimating the first moment of a data stream defined as $F_1 = \sum_{i \in \{1, 2, \ldots, n\}} \abs{f_i}$ to within $1 \pm \epsilon$-relative error with high probability is a basic and influential problem in data stream processing. A tight…

Data Structures and Algorithms · Computer Science 2015-03-17 Sumit Ganguly , Purushottam Kar

Estimating frequency moments of data streams is a very well studied problem and tight bounds are known on the amount of space that is necessary and sufficient when the stream is adversarially ordered. Recently, motivated by various…

Data Structures and Algorithms · Computer Science 2008-08-19 Alexandr Andoni , Andrew McGregor , Krzysztof Onak , Rina Panigrahy

Formal Concept Analysis "FCA" is a data analysis method which enables to discover hidden knowledge existing in data. A kind of hidden knowledge extracted from data is association rules. Different quality measures were reported in the…

Information Theory · Computer Science 2010-08-24 Dhouha Grissa , Sylvie Guillaume , Engelbert Mephu Nguifo

A combination of statistical inference and machine learning (ML) schemes has been utilized to create a thorough understanding of coarse experimental data based on Zernike variables characterizing optical aberrations in fluidic lenses. A…

Optics · Physics 2026-02-19 Graciana Puentes

Beta regression models are a suitable choice for continuous response variables on the unity interval. Random effects add further flexibility to the models and accommodate data structures such as hierarchical, repeated measures and…

Applications · Statistics 2017-04-25 Wagner H. Bonat , Paulo J. Ribeiro , Walmes Marque Zeviani

Frequent Item-set Mining (FIM), sometimes called Market Basket Analysis (MBA) or Association Rule Learning (ARL), are Machine Learning (ML) methods for creating rules from datasets of transactions of items. Most methods identify items…

Data Structures and Algorithms · Computer Science 2018-03-30 Ran M. Bittmann , Philippe Nemery , Xingtian Shi , Michael Kemelmakher , Mengjiao Wang

We propose Few-Class Arena (FCA), as a unified benchmark with focus on testing efficient image classification models for few classes. A wide variety of benchmark datasets with many classes (80-1000) have been created to assist Computer…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 Bryan Bo Cao , Lawrence O'Gorman , Michael Coss , Shubham Jain

We study the power of Arthur-Merlin probabilistic proof systems in the data stream model. We show a canonical $\mathcal{AM}$ streaming algorithm for a wide class of data stream problems. The algorithm offers a tradeoff between the length of…

Computational Complexity · Computer Science 2013-02-05 Tom Gur , Ran Raz
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