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We apply methods from randomized numerical linear algebra (RandNLA) to develop improved algorithms for the analysis of large-scale time series data. We first develop a new fast algorithm to estimate the leverage scores of an autoregressive…

统计方法学 · 统计学 2021-11-02 Ali Eshragh , Fred Roosta , Asef Nazari , Michael W. Mahoney

This work introduces ExaLogLog, a new data structure for approximate distinct counting, which has the same practical properties as the popular HyperLogLog algorithm. It is commutative, idempotent, mergeable, reducible, has a constant-time…

数据结构与算法 · 计算机科学 2025-02-28 Otmar Ertl

We provide a new approach to approximate emulation of large computer experiments. By focusing expressly on desirable properties of the predictive equations, we derive a family of local sequential design schemes that dynamically define the…

统计方法学 · 统计学 2014-10-13 Robert B. Gramacy , Daniel W. Apley

Even though in recent years the scale of statistical analysis problems has increased tremendously, many statistical software tools are still limited to single-node computations. However, statistical analyses are largely based on dense…

统计计算 · 统计学 2016-11-01 Rodrigo Canales , Elmar Peise , Paolo Bientinesi

Exact Bayesian structure discovery in Bayesian networks requires exponential time and space. Using dynamic programming (DP), the fastest known sequential algorithm computes the exact posterior probabilities of structural features in…

人工智能 · 计算机科学 2016-08-16 Yetian Chen , Jin Tian , Olga Nikolova , Srinivas Aluru

Geospatial Processing, such as queries based on point-to-polyline shortest distance and point-in-polygon test, are fundamental to many scientific and engineering applications, including post-processing large-scale environmental and climate…

数据库 · 计算机科学 2014-03-05 Jianting Zhang Simin You

Serverless computing (FaaS) has been extensively utilized for deep learning (DL) inference due to the ease of deployment and pay-per-use benefits. However, existing FaaS platforms utilize GPUs in a coarse manner for DL inferences, without…

分布式、并行与集群计算 · 计算机科学 2023-09-04 Jianfeng Gu , Yichao Zhu , Puxuan Wang , Mohak Chadha , Michael Gerndt

Gaussian process is an indispensable tool in clustering functional data, owing to it's flexibility and inherent uncertainty quantification. However, when the functional data is observed over a large grid (say, of length $p$), Gaussian…

统计计算 · 统计学 2023-09-15 Anirban Chakraborty , Abhisek Chakraborty

The use of Gaussian processes (GPs) is supported by efficient sampling algorithms, a rich methodological literature, and strong theoretical grounding. However, due to their prohibitive computation and storage demands, the use of exact GPs…

统计理论 · 数学 2022-07-27 Kelly R. Moran , Matthew W. Wheeler

Environmental sensors are crucial for monitoring weather conditions and the impacts of climate change. However, it is challenging to place sensors in a way that maximises the informativeness of their measurements, particularly in remote…

As the gap between compute and I/O performance tends to grow, modern High-Performance Computing (HPC) architectures include a new resource type: an intermediate persistent fast memory layer, called burst buffers. This is just one of many…

分布式、并行与集群计算 · 计算机科学 2021-09-01 Adrian Naruszko , Bartłomiej Przybylski , Krzysztof Rzadca

Inferring the posterior distribution in SLAM is critical for evaluating the uncertainty in localization and mapping, as well as supporting subsequent planning tasks aiming to reduce uncertainty for safe navigation. However, real-time full…

机器人学 · 计算机科学 2023-08-11 Qiangqiang Huang , John J. Leonard

Recent years have seen a huge development in spatial modelling and prediction methodology, driven by the increased availability of remote-sensing data and the reduced cost of distributed-processing technology. It is well known that…

统计计算 · 统计学 2020-02-18 Andrew Zammit-Mangion , Jonathan Rougier

In geostatistical problems with massive sample size, Gaussian processes can be approximated using sparse directed acyclic graphs to achieve scalable $O(n)$ computational complexity. In these models, data at each location are typically…

统计理论 · 数学 2024-06-24 Yichen Zhu , Michele Peruzzi , Cheng Li , David B. Dunson

It is time-consuming and error-prone to implement inference procedures for each new probabilistic model. Probabilistic programming addresses this problem by allowing a user to specify the model and having a compiler automatically generate…

Gaussian processes (GPs) are flexible, probabilistic, nonparametric models widely used in fields such as spatial statistics and machine learning. A drawback of Gaussian processes is their computational cost, with $O(N^3)$ time and $O(N^2)$…

统计计算 · 统计学 2026-05-20 Filippo Rambelli , Fabio Sigrist

This paper investigates co-scheduling algorithms for processing a set of parallel applications. Instead of executing each application one by one, using a maximum degree of parallelism for each of them, we aim at scheduling several…

数据结构与算法 · 计算机科学 2013-05-01 Guillaume Aupy , Manu Shantharam , Anne Benoit , Yves Robert , Padma Raghavan

This work explores the search for heterogeneous approximate multiplier configurations for neural networks that produce high accuracy and low energy consumption. We discuss the validity of additive Gaussian noise added to accurate neural…

机器学习 · 计算机科学 2022-08-16 Elias Trommer , Bernd Waschneck , Akash Kumar

We consider the task of estimating a Gaussian graphical model in the high-dimensional setting. The graphical lasso, which involves maximizing the Gaussian log likelihood subject to an l1 penalty, is a well-studied approach for this task. We…

机器学习 · 统计学 2013-07-23 Kean Ming Tan , Daniela Witten , Ali Shojaie

Probabilistic programming methods have revolutionised Bayesian inference, making it easier than ever for practitioners to perform Markov-chain-Monte-Carlo sampling from non-conjugate posterior distributions. Here we focus on Stan, arguably…

统计计算 · 统计学 2025-02-10 Clemens Pichler , Jack Jewson , Alejandra Avalos-Pacheco