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The numerical solution of large-scale PDEs, such as those occurring in data-driven applications, unavoidably require powerful parallel computers and tailored parallel algorithms to make the best possible use of them. In fact, considerations…

Numerical Analysis · Mathematics 2017-05-11 Francisco Bernal , Gonçalo dos Reis , Greig Smith

This article presents an adaptive mean shift algorithm designed for datasets with varying local scale and cluster cardinality. Local distance distributions, from a point to all others, are used to estimate the cardinality of the local…

Machine Learning · Computer Science 2025-08-19 Étienne Pepin

We propose a generic numerical measure of the inconsistency of a database with respect to a set of integrity constraints. It is based on an abstract repair semantics. In particular, an inconsistency measure associated to cardinality-repairs…

Databases · Computer Science 2019-01-23 Leopoldo Bertossi

Modern computer systems are highly configurable, with hundreds of configuration options that interact, resulting in an enormous configuration space. As a result, optimizing performance goals (e.g., latency) in such systems is challenging…

Performance · Computer Science 2023-10-04 Md Shahriar Iqbal , Ziyuan Zhong , Iftakhar Ahmad , Baishakhi Ray , Pooyan Jamshidi

Multilevel sampling methods, such as multilevel and multifidelity Monte Carlo, multilevel stochastic collocation, or delayed acceptance Markov chain Monte Carlo, have become standard uncertainty quantification (UQ) tools for a wide class of…

Numerical Analysis · Mathematics 2025-10-01 Josef Martínek , Erin Carson , Robert Scheichl

Conformal prediction equips machine learning models with a reasonable notion of uncertainty quantification without making strong distributional assumptions. It wraps around any prediction model and converts point predictions into set…

Machine Learning · Statistics 2025-10-21 Matteo Gasparin , Aaditya Ramdas

Many real-world problems are categorized as large-scale problems, and metaheuristic algorithms as an alternative method to solve large-scale problem; they need the evaluation of many candidate solutions to tackle them prior to their…

Neural and Evolutionary Computing · Computer Science 2020-09-14 Shahryar Rahnamayan , Seyed Jalaleddin Mousavirad

Understanding how neural networks transform inputs into outputs is crucial for interpreting and manipulating their behavior. Most existing approaches analyze internal representations by identifying hidden-layer activation patterns…

Machine Learning · Computer Science 2026-03-09 Joshua Brendan Melander , Zaki Alaoui , Shenghua Liu , Surya Ganguli , Stephen A. Baccus

While being the de facto standard coordinate representation in human pose estimation, heatmap is never systematically investigated in the literature, to our best knowledge. This work fills this gap by studying the coordinate representation…

Computer Vision and Pattern Recognition · Computer Science 2019-10-15 Feng Zhang , Xiatian Zhu , Hanbin Dai , Mao Ye , Ce Zhu

Cost-based query optimization remains a critical task in relational databases even after decades of research and industrial development. Query optimizers rely on a large range of statistical synopses -- including attribute-level histograms…

Databases · Computer Science 2021-02-05 Yesdaulet Izenov , Asoke Datta , Florin Rusu , Jun Hyung Shin

Cell counting in biomedical imaging is pivotal for various clinical applications, yet the interpretability of deep learning models in this domain remains a significant challenge. We propose a novel prototype-based method for interpretable…

Computer Vision and Pattern Recognition · Computer Science 2025-11-26 Abdurahman Ali Mohammed , Wallapak Tavanapong , Catherine Fonder , Donald S. Sakaguchi

Large language models often fail on multi-step reasoning due to fixed reasoning strategies that ignore problem specific difficulty. We introduce CARD (Complexity Agnostic Recursive Decomposition), a framework that predicts problem…

Computation and Language · Computer Science 2026-01-09 Kaleem Ullah Qasim , Jiashu Zhang , Hafiz Saif Ur Rehman

Conformal prediction provides a distribution-free framework for uncertainty quantification via prediction sets with exact finite-sample coverage. In low dimensions these sets are easy to interpret, but in high-dimensional or structured…

Machine Learning · Statistics 2026-05-08 Trevor Harris

Belief tracking is a basic problem in planning with sensing. While the problem is intractable, it has been recently shown that for both deterministic and non-deterministic systems expressed in compact form, it can be done in time and space…

Artificial Intelligence · Computer Science 2019-10-01 Blai Bonet , Hector Geffner

Sketch-based streaming algorithms allow efficient processing of big data. These algorithms use small fixed-size storage to store a summary ("sketch") of the input data, and use probabilistic algorithms to estimate the desired quantity.…

Databases · Computer Science 2016-11-08 Reuven Cohen , Liran Katzir , Aviv Yehezkel

Kernel density estimation is a well known method involving a smoothing parameter (the bandwidth) that needs to be tuned by the user. Although this method has been widely used the bandwidth selection remains a challenging issue in terms of…

Statistics Theory · Mathematics 2019-02-05 Suzanne Varet , Claire Lacour , Pascal Massart , Vincent Rivoirard

Coded computing is a distributed paradigm that uses coding theory to introduce \textit{redundancy} and overcome bottlenecks in large-scale systems. In the same vein, randomized numerical linear algebra employs probabilistic methods to…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-19 Neophytos Charalambides , Arya Mazumdar

The image captioning task is typically realized by an auto-regressive method that decodes the text tokens one by one. We present a diffusion-based captioning model, dubbed the name DDCap, to allow more decoding flexibility. Unlike image…

Computer Vision and Pattern Recognition · Computer Science 2022-12-12 Zixin Zhu , Yixuan Wei , Jianfeng Wang , Zhe Gan , Zheng Zhang , Le Wang , Gang Hua , Lijuan Wang , Zicheng Liu , Han Hu

This paper considers the problem of cardinality estimation in data stream applications. We present a statistical analysis of probabilistic counting algorithms, focusing on two techniques that use pseudo-random variates to form…

Computation · Statistics 2012-11-20 Peter Clifford , Ioana A. Cosma

Efficient and scalable non-parametric or semi-parametric regression analysis and density estimation are of crucial importance to the fields of statistics and machine learning. However, available methods are limited in their ability to…

Machine Learning · Computer Science 2026-03-23 Zeyu Ding , Katja Ickstadt , Nadja Klein , Alexander Munteanu , Simon Omlor