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Variational approximations to Gaussian processes (GPs) typically use a small set of inducing points to form a low-rank approximation to the covariance matrix. In this work, we instead exploit a sparse approximation of the precision matrix.…

Machine Learning · Computer Science 2024-11-22 Luhuan Wu , Geoff Pleiss , John Cunningham

The Poisson process is the most elementary continuous-time stochastic process that models a stream of repeating events. It is uniquely characterised by a single parameter called the rate. Instead of a single value for this rate, we here…

Probability · Mathematics 2019-06-05 Alexander Erreygers , Jasper De Bock

We develop a method for the evaluation of extreme event statistics associated with nonlinear dynamical systems, using a small number of samples. From an initial dataset of design points, we formulate a sequential strategy that provides the…

Machine Learning · Computer Science 2022-06-08 Mustafa A. Mohamad , Themistoklis P. Sapsis

Slowly changing variables in a continuous state space constitute an important category of reinforcement learning and see its application in many domains, such as modeling a climate control system where temperature, humidity, etc. change…

Machine Learning · Computer Science 2021-12-07 Vincent Zha , Ivey Chiu , Alexandre Guilbault , Jaime Tatis

In this technical report, we discuss several sampling algorithms for Determinantal Point Processes (DPP). DPPs have recently gained a broad interest in the machine learning and statistics literature as random point processes with negative…

Computation · Statistics 2018-02-26 Nicolas Tremblay , Simon Barthelme , Pierre-Olivier Amblard

There are many different ways in which change point analysis can be performed, from purely parametric methods to those that are distribution free. The ecp package is designed to perform multiple change point analysis while making as few…

Computation · Statistics 2013-11-26 Nicholas A. James , David S. Matteson

Data analysis in science, e.g., high-energy particle physics, is often subject to an intractable likelihood if the observables and observations span a high-dimensional input space. Typically the problem is solved by reducing the…

Data Analysis, Statistics and Probability · Physics 2021-01-14 Stefan Wunsch , Simon Jörger , Roger Wolf , Günter Quast

Determinantal point processes (DPPs) have attracted substantial attention as an elegant probabilistic model that captures the balance between quality and diversity within sets. DPPs are conventionally parameterized by a positive…

Machine Learning · Computer Science 2020-11-16 Mike Gartrell , Victor-Emmanuel Brunel , Elvis Dohmatob , Syrine Krichene

HIPSTER (Heavily Ionising Particle Standard Toolkit for Event Recognition) is an open source Python package designed to facilitate the use of TensorFlow in a high energy physics analysis context. The core functionality of the software is…

High Energy Physics - Experiment · Physics 2019-09-18 Adrian Bevan , Thomas Charman , Jonathan Hays

We study the problem of non-parametric Bayesian estimation of the intensity function of a Poisson point process. The observations are $n$ independent realisations of a Poisson point process on the interval $[0,T]$. We propose two related…

Methodology · Statistics 2020-03-31 Shota Gugushvili , Frank van der Meulen , Moritz Schauer , Peter Spreij

Heterogeneous computing systems, which combine general-purpose processors with specialized accelerators, are increasingly important for optimizing the performance of modern applications. A central challenge is to decide which parts of an…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-15 Martin Wilhelm , Franz Freitag , Max Tzschoppe , Thilo Pionteck

A determinantal point process is a stochastic point process that is commonly used to capture negative correlations. It has become increasingly popular in machine learning in recent years. Sampling a determinantal point process however…

Numerical Analysis · Mathematics 2020-09-02 Lexing Ying

A temporal point process is a stochastic process that predicts which type of events is likely to happen and when the event will occur given a history of a sequence of events. There are various examples of occurrence dynamics in the daily…

Machine Learning · Computer Science 2022-02-23 Deokjun Eom , Sehyun Lee , Jaesik Choi

Gaussian process (GP) regression is a non-parametric, Bayesian framework to approximate complex models. Standard GP regression can lead to an unbounded model in which some points can take infeasible values. We introduce a new GP method that…

Machine Learning · Statistics 2024-04-04 Didem Kochan , Xiu Yang

Interval-censored data solely records the aggregated counts of events during specific time intervals - such as the number of patients admitted to the hospital or the volume of vehicles passing traffic loop detectors - and not the exact…

Machine Learning · Computer Science 2022-11-29 Marian-Andrei Rizoiu , Alexander Soen , Shidi Li , Pio Calderon , Leanne Dong , Aditya Krishna Menon , Lexing Xie

We look at Monte Carlo numerical integration from a stochastic geometry point of view. While crude Monte Carlo estimators relate to linear statistics of a homogeneous Poisson point process (PPP), linear statistics of more regularly spread…

Methodology · Statistics 2026-02-24 Diala Hawat , Gabriel Mastrilli , Rémi Bardenet , Raphaël Lachièze-Rey

Software effort can be measured by story point [35]. Current approaches for automatically estimating story points focus on applying pre-trained embedding models and deep learning for text regression to solve this problem which required…

Software Engineering · Computer Science 2022-07-04 Hung Phan , Ali Jannesari

Time-varying mixture densities occur in many scenarios, for example, the distributions of keywords that appear in publications may evolve from year to year, video frame features associated with multiple targets may evolve in a sequence. Any…

Machine Learning · Statistics 2016-04-19 Cheng Luo , Yang Xiang , Richard Yi Da Xu

We present an application, EasyScan_HEP, for connecting programs to scan the parameter space of High Energy Physics (HEP) models using various sampling algorithms. We develop EasyScan_HEP according to the principle of flexibility and…

High Energy Physics - Phenomenology · Physics 2023-12-04 Liangliang Shang , Yang Zhang

Analyzing the underlying structure of multiple time-sequences provides insights into the understanding of social networks and human activities. In this work, we present the \emph{Bayesian nonparametric Poisson process allocation} (BaNPPA),…

Machine Learning · Statistics 2018-04-04 Hongyi Ding , Mohammad Emtiyaz Khan , Issei Sato , Masashi Sugiyama