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Real-world problems often involve the optimization of several objectives under multiple constraints. An example is the hyper-parameter tuning problem of machine learning algorithms. In particular, the minimization of the estimation of the…

Machine Learning · Statistics 2021-07-02 Eduardo C. Garrido-Merchán , Daniel Hernández-Lobato

Ray tracing algorithm is a category of rendering algorithms that calculate the color of pixels by simulating the physical movements of a huge amount of rays and calculating their energies, which can be implemented in parallel. Meanwhile,…

Quantum Physics · Physics 2022-08-11 Xi Lu , Hongwei Lin

This work considers the problem of detecting signals from multiple sequentially observed data streams, where only one stream can be observed at every time instant. The goal is to detect signals as quickly as possible while controlling the…

Methodology · Statistics 2026-04-07 Yiming Xing , Georgios Fellouris

We present a sorting algorithm that works in-place, executes in parallel, is cache-efficient, avoids branch-mispredictions, and performs work O(n log n) for arbitrary inputs with high probability. The main algorithmic contributions are new…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-03 Michael Axtmann , Sascha Witt , Daniel Ferizovic , Peter Sanders

The power spectrum of biomedical time series provides important indirect measurements of physiological processes underlying health and biological functions. However, simultaneously characterizing power spectra for multiple time series…

Methodology · Statistics 2025-11-25 Rebecca Lee , Alexander Coulter , Greg J. Siegle , Scott A. Bruce , Anirban Bhattacharya

We study efficient algorithms for linear regression and covariance estimation in the absence of Gaussian assumptions on the underlying distributions of samples, making assumptions instead about only finitely-many moments. We focus on how…

Parallel surrogate optimization algorithms have proven to be efficient methods for solving expensive noisy optimization problems. In this work we develop a new parallel surrogate optimization algorithm (ProSRS), using a novel tree-based…

Optimization and Control · Mathematics 2019-08-22 Chenchao Shou , Matthew West

Modern trends in data collection are bringing current mainstream techniques for database query processing to their limits. Consequently, various novel approaches for efficient query processing are being actively studied. One such approach…

Databases · Computer Science 2022-04-13 Georg Gottlob , Matthias Lanzinger , Cem Okulmus , Reinhard Pichler

The article studies query evaluation in parallel constant time in the CRCW PRAM model. While it is well-known that all relational algebra queries can be evaluated in constant time on an appropriate CRCW PRAM model, this article is…

Databases · Computer Science 2026-05-14 Jens Keppeler , Thomas Schwentick , Christopher Spinrath

Several classic problems in graph processing and computational geometry are solved via incremental algorithms, which split computation into a series of small tasks acting on shared state, which gets updated progressively. While the…

Data Structures and Algorithms · Computer Science 2020-03-24 Dan Alistarh , Nikita Koval , Giorgi Nadiradze

In this paper, we consider a recursive estimation problem for linear regression where the signal to be estimated admits a sparse representation and measurement samples are only sequentially available. We propose a convergent parallel…

Optimization and Control · Mathematics 2017-12-12 Yang Yang , Mengyi Zhang , Marius Pesavento , Daniel P. Palomar

A version of the time-parallel algorithm parareal is analyzed and applied to stochastic models in chemical kinetics. A fast predictor at the macroscopic scale (evaluated in serial) is available in the form of the usual reaction rate…

Numerical Analysis · Mathematics 2009-09-16 Stefan Engblom

This article introduces a nonparametric approach to spectral analysis of a high-dimensional multivariate nonstationary time series. The procedure is based on a novel frequency-domain factor model that provides a flexible yet parsimonious…

Methodology · Statistics 2019-10-29 Zeda Li , Ori Rosen , Fabio Ferrarelli , Robert T. Krafty

Multi-objective integer optimization problems are hard to solve, mainly because the number of nondominated images is often extremely large. We present the first exact algorithm, called PEA, that fully utilizes the multicore architecture of…

Optimization and Control · Mathematics 2026-02-13 Kathrin Prinz , Levin Nemesch , Stefan Ruzika

Many machine learning problems can be framed in the context of estimating functions, and often these are time-dependent functions that are estimated in real-time as observations arrive. Gaussian processes (GPs) are an attractive choice for…

Machine Learning · Statistics 2023-05-09 Michael Minyi Zhang , Bianca Dumitrascu , Sinead A. Williamson , Barbara E. Engelhardt

The stationarity is assumed in vanilla Hawkes process, which reduces the model complexity but introduces a strong assumption. In this paper, we propose a fast multi-resolution segmentation algorithm to capture the time-varying…

Applications · Statistics 2019-06-07 Feng Zhou , Zhidong Li , Xuhui Fan , Yang Wang , Arcot Sowmya , Fang Chen

Non-parametric entropy estimation on sequential data is a fundamental tool in signal processing, capturing information flow within or between processes to measure predictability, redundancy, or similarity. Methods based on longest common…

Data Structures and Algorithms · Computer Science 2025-10-16 Bridget Smart , Max Ward , Matthew Roughan

Parsing is essential for a wide range of use cases, such as stream processing, bulk loading, and in-situ querying of raw data. Yet, the compute-intense step often constitutes a major bottleneck in the data ingestion pipeline, since parsing…

Databases · Computer Science 2020-04-16 Elias Stehle , Hans-Arno Jacobsen

Probabilistic numerical solvers for ordinary differential equations (ODEs) treat the numerical simulation of dynamical systems as problems of Bayesian state estimation. Aside from producing posterior distributions over ODE solutions and…

Numerical Analysis · Mathematics 2024-09-12 Nathanael Bosch , Adrien Corenflos , Fatemeh Yaghoobi , Filip Tronarp , Philipp Hennig , Simo Särkkä

Parareal is a well-studied algorithm for numerically integrating systems of time-dependent differential equations by parallelising the temporal domain. Given approximate initial values at each temporal sub-interval, the algorithm locates a…

Numerical Analysis · Mathematics 2022-07-11 Kamran Pentland , Massimiliano Tamborrino , D. Samaddar , L. C. Appel
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