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In this paper, we develop a method to model and estimate several, _dependent_ count processes, using granular data. Specifically, we develop a multivariate Cox process with shot noise intensities to jointly model the arrival process of…

Risk Management · Quantitative Finance 2021-08-19 Benjamin Avanzi , Gregory Clive Taylor , Bernard Wong , Xinda Yang

Ability of deep networks to extract high level features and of recurrent networks to perform time-series inference have been studied. In view of universality of one hidden layer network at approximating functions under weak constraints, the…

Neural and Evolutionary Computing · Computer Science 2014-12-19 Sharat C. Prasad , Piyush Prasad

We present an approach to obtain convergence guarantees of optimization algorithms for deep networks based on elementary arguments and computations. The convergence analysis revolves around the analytical and computational structures of…

Machine Learning · Computer Science 2021-01-01 Vincent Roulet , Zaid Harchaoui

Hawkes processes are a class of self-exciting point processes that are used to model complex phenomena. While most applications of Hawkes processes assume that event data occurs in continuous-time, the less-studied discrete-time version of…

Applications · Statistics 2023-06-01 Trinnhallen Brisley , Gordon Ross , Daniel Paulin , Jake Easto

Vertex centrality measures are a multi-purpose analysis tool, commonly used in many application environments to retrieve information and unveil knowledge from the graphs and network structural properties. However, the algorithms of such…

Social and Information Networks · Computer Science 2018-12-03 Felipe Grando , Luis C. Lamb

This paper addresses the problem of modeling and estimating dynamic multi-valued mappings. While most mathematical models provide a unique solution for a given input, real-world applications often lack deterministic solutions. In such…

Computer Vision and Pattern Recognition · Computer Science 2024-07-02 Geng Li , Di Qiu , Lok Ming Lui

Traditional simulations on High-Performance Computing (HPC) systems typically involve modeling very large domains and/or very complex equations. HPC systems allow running large models, but limits in performance increase that have become…

Machine Learning algorithms have had a profound impact on the field of computer science over the past few decades. These algorithms performance is greatly influenced by the representations that are derived from the data in the learning…

Deep kernel learning refers to a Gaussian process that incorporates neural networks to improve the modelling of complex functions. We present a method that makes this approach feasible for problems where the data consists of line integral…

Machine Learning · Statistics 2019-09-05 Carl Jidling , Johannes Hendriks , Thomas B. Schön , Adrian Wills

Marked point process data arise when events occur in a space with event-level marks. We study clustering of replicated marked Poisson point processes and introduce Dirichlet process mixtures of marked Poisson point processes, a Bayesian…

Methodology · Statistics 2026-05-12 Minsung Choi , Seonghyun Jeong

Event processing is the cornerstone of the dynamic and responsive Internet of Things (IoT). Recent approaches in this area are based on representational state transfer (REST) principles, which allow event processing tasks to be placed at…

Machine Learning · Computer Science 2021-12-08 A. Mazayev , F. Al-Tam , N. Correia

It is well known that building analytical performance models in practice is difficult because it requires a considerable degree of proficiency in the underlying mathematics. In this paper, we propose a machine-learning approach to derive…

Performance · Computer Science 2020-02-26 Giulio Garbi , Emilio Incerto , Mirco Tribastone

In healthcare, the highest risk individuals for morbidity and mortality are rarely those with the greatest modifiable risk. By contrast, many machine learning formulations implicitly attend to the highest risk individuals. We focus on this…

Machine Learning · Statistics 2019-11-15 Yoonjung Kim , Jeremy C. Weiss

One of the distinguishing characteristics of modern deep learning systems is that they typically employ neural network architectures that utilize enormous numbers of parameters, often in the millions and sometimes even in the billions.…

Machine Learning · Statistics 2021-11-15 Ben Adlam , Jake Levinson , Jeffrey Pennington

A fundamental challenge in neuroscience is to understand what structure in the world is represented in spatially distributed patterns of neural activity from multiple single-trial measurements. This is often accomplished by learning a…

Neural and Evolutionary Computing · Computer Science 2020-07-01 Jesse A. Livezey , Kristofer E. Bouchard , Edward F. Chang

This chapter presents deep neural network based methods for enhancing the sensitivity of X-ray telescopic observations with imaging polarimeters. Deep neural networks can be used to determine photoelectron emission directions, photon…

Instrumentation and Methods for Astrophysics · Physics 2023-04-05 Abel L. Peirson

There has long been debates on how we could interpret neural networks and understand the decisions our models make. Specifically, why deep neural networks tend to be error-prone when dealing with samples that output low softmax scores. We…

Computer Vision and Pattern Recognition · Computer Science 2018-12-04 Simiao Zuo , Jialin Wu

Deep-learning models such as Convolutional Neural Networks (CNN) and Long Short-Term Memory (LSTM) have been successfully used for process-mining tasks. They have achieved better performance for different predictive tasks than traditional…

Machine Learning · Computer Science 2021-05-04 Ishwar Venugopal , Jessica Töllich , Michael Fairbank , Ansgar Scherp

We study optimal covariate balance for causal inferences from observational data when rich covariates and complex relationships necessitate flexible modeling with neural networks. Standard approaches such as propensity weighting and…

Machine Learning · Statistics 2018-02-16 Nathan Kallus

Advances in numerical optimization have supported breakthroughs in several areas of signal processing. This paper focuses on the recent enhanced variants of the proximal gradient numerical optimization algorithm, which combine quasi-Newton…

Signal Processing · Electrical Eng. & Systems 2020-01-28 Niccolò Antonello , Lorenzo Stella , Panagiotis Patrinos , Toon van Waterschoot