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A multivariate Hawkes process enables self- and cross-excitations through a triggering matrix that behaves like an asymmetrical covariance structure, characterizing pairwise interactions between the event types. Full-rank estimation of all…

机器学习 · 统计学 2022-04-26 Myrl G. Marmarelis , Greg Ver Steeg , Aram Galstyan

This paper considers the problem of decentralized analysis and control synthesis to verify and ensure properties like stability and dissipativity of a large-scale networked system comprised of linear subsystems interconnected in an…

系统与控制 · 电气工程与系统科学 2022-09-05 Shirantha Welikala , Hai Lin , Panos Antsaklis

Learning the influence structure of multiple time series data is of great interest to many disciplines. This paper studies the problem of recovering the causal structure in network of multivariate linear Hawkes processes. In such processes,…

机器学习 · 计算机科学 2016-03-15 Jalal Etesami , Negar Kiyavash , Kun Zhang , Kushagra Singhal

Computational cost of training state-of-the-art deep models in many learning problems is rapidly increasing due to more sophisticated models and larger datasets. A recent promising direction for reducing training cost is dataset…

机器学习 · 计算机科学 2022-12-23 Bo Zhao , Hakan Bilen

State-of-the-art techniques of artificial intelligence, in particular deep learning, are mostly data-driven. However, collecting and manually labeling a large scale dataset is both difficult and expensive. A promising alternative is to…

计算机视觉与模式识别 · 计算机科学 2018-07-31 Qi Chen , Weichao Qiu , Yi Zhang , Lingxi Xie , Alan Yuille

A parametric point process model is developed, with modeling based on the assumption that sequential observations often share latent phenomena, while also possessing idiosyncratic effects. An alternating optimization method is proposed to…

机器学习 · 统计学 2018-02-14 Hongteng Xu , Lawrence Carin , Hongyuan Zha

This chapter provides an accessible introduction for point processes, and especially Hawkes processes, for modeling discrete, inter-dependent events over continuous time. We start by reviewing the definitions and the key concepts in point…

机器学习 · 统计学 2017-10-10 Marian-Andrei Rizoiu , Young Lee , Swapnil Mishra , Lexing Xie

Many event sequence data exhibit mutually exciting or inhibiting patterns. Reliable detection of such temporal dependency is crucial for scientific investigation. The de facto model is the Multivariate Hawkes Process (MHP), whose impact…

应用统计 · 统计学 2023-05-31 Yu Chen , Fengpei Li , Anderson Schneider , Yuriy Nevmyvaka , Asohan Amarasingham , Henry Lam

People are increasingly relying on the Web and social media to find solutions to their problems in a wide range of domains. In this online setting, closely related problems often lead to the same characteristic learning pattern, in which…

机器学习 · 统计学 2016-10-20 Charalampos Mavroforakis , Isabel Valera , Manuel Gomez Rodriguez

In this work, we investigate the data-driven safe control synthesis problem for unknown dynamic systems. We first formulate the safety synthesis problem as a robust convex program (RCP) based on notion of control barrier function. To…

系统与控制 · 电气工程与系统科学 2023-04-04 Yu Chen , Chao Shang , Xiaolin Huang , Xiang Yin

Analysing human motions is a core topic of interest for many disciplines, from Human-Computer Interaction, to entertainment, Virtual Reality and healthcare. Deep learning has achieved impressive results in capturing human pose in real-time.…

计算机视觉与模式识别 · 计算机科学 2022-04-26 Matthew Malek-Podjaski , Fani Deligianni

Over the past few decades, the Hawkes process has become a popular framework for modeling temporal events thanks to its flexibility to capture different dependency structures. The objective of this work is to model call sequences emitted by…

统计方法学 · 统计学 2025-07-29 Anna Bonnet , Stéphane Robin

Software synthesis - the process of generating complete, general-purpose programs from specifications - has become a hot research topic in the past few years. For decades the problem was thought to be insurmountable: the search space of…

编程语言 · 计算机科学 2015-10-29 Jonathan Frankle

The expanding instrumentation of processes throughout society with sensors yields a proliferation of time series data that may in turn enable important applications, e.g., related to transportation infrastructures or power grids.…

数据库 · 计算机科学 2024-10-29 Hao Miao , Ziqiao Liu , Yan Zhao , Chenjuan Guo , Bin Yang , Kai Zheng , Christian S. Jensen

The Hawkes process is used to model point process data where events occur in clusters and bursts. In a standard multivariate Hawkes process, every event that occurs in a dimension has an equal impact on the process intensity. However, this…

统计方法学 · 统计学 2026-05-05 Gordon J Ross , Isabella Deutsch

DNA-based storage offers unprecedented density and durability, but its scalability is fundamentally limited by the efficiency of parallel strand synthesis. Existing methods either allow unconstrained nucleotide additions to individual…

信息论 · 计算机科学 2025-10-27 Boaz Moav , Ryan Gabrys , Eitan Yaakobi

The development of novel high-throughput sequencing (HTS) methods for RNA (RNA-Seq) has provided a very powerful mean to study splicing under multiple conditions at unprecedented depth. However, the complexity of the information to be…

基因组学 · 定量生物学 2015-08-03 Gael P. Alamancos , Eneritz Agirre , Eduardo Eyras

Driven by the recent surge in neural-inspired modeling, point processes have gained significant traction in systems and control. While the Hawkes process is the standard model for characterizing random event sequences with memory,…

统计方法学 · 统计学 2026-02-25 Xinhui Rong , Girish N. Nair

This paper presents a method for synthesizing a reactive program which coordinates the actions of a group of other reactive programs, so that the combined system satisfies a temporal specification of its desired long-term behavior.…

编程语言 · 计算机科学 2019-11-12 Suguman Bansal , Kedar S. Namjoshi , Yaniv Sa'ar

We propose a novel framework for modeling multiple multivariate point processes, each with heterogeneous event types that share an underlying space and obey the same generative mechanism. Focusing on Hawkes processes and their variants that…

机器学习 · 计算机科学 2021-02-05 Hongteng Xu , Dixin Luo , Hongyuan Zha