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Traditionally, Hawkes processes are used to model time--continuous point processes with history dependence. Here we propose an extended model where the self--effects are of both excitatory and inhibitory type and follow a Gaussian Process.…

Machine Learning · Statistics 2021-05-21 Noa Malem-Shinitski , Cesar Ojeda , Manfred Opper

The Hawkes process is a class of point processes whose future depends on their own history. Previous theoretical work on the Hawkes process is limited to a special case in which a past event can only increase the occurrence of future…

Methodology · Statistics 2019-06-21 Shizhe Chen , Ali Shojaie , Eric Shea-Brown , Daniela Witten

Predictive models in acute care settings must be able to immediately recognize precipitous changes in a patient's status when presented with data reflecting such changes. Recurrent neural networks (RNNs) have become common for training and…

Machine Learning · Computer Science 2020-07-30 David Ledbetter , Eugene Laksana , Melissa Aczon , Randall Wetzel

In dynamic positron emission tomography (PET) reconstruction, the importance of leveraging the temporal dependence of the data has been well appreciated. Current deep-learning solutions can be categorized in two groups in the way the…

Image and Video Processing · Electrical Eng. & Systems 2024-03-13 Yubo Ye , Huafeng Liu , Linwei Wang

Targeting a better understanding of credit market dynamics, the authors have studied a stochastic model named the Hawkes process. Describing trades arrival times, this kind of model allows for the capture of self-excitement and mutual…

Applications · Statistics 2019-02-12 Achraf Bahamou , Maud Doumergue , Philippe Donnat

Estimating heterogeneous treatment effect (HTE) for survival outcomes has gained increasing attention, as it captures the variation in treatment efficacy across patients or subgroups in delaying disease progression. However, most existing…

Methodology · Statistics 2025-11-27 Na Bo , Ying Ding

While deep neural networks have achieved remarkable performance, they tend to lack transparency in prediction. The pursuit of greater interpretability in neural networks often results in a degradation of their original performance. Some…

Computer Vision and Pattern Recognition · Computer Science 2024-08-09 Hefeng Wu , Hao Jiang , Keze Wang , Ziyi Tang , Xianghuan He , Liang Lin

We propose an efficient and interpretable neural network with a novel activation function called the weighted Lehmer transform. This new activation function enables adaptive feature selection and extends to the complex domain, capturing…

Machine Learning · Computer Science 2025-01-28 Masoud Ataei , Xiaogang Wang

Electronic health records represent a holistic overview of patients' trajectories. Their increasing availability has fueled new hopes to leverage them and develop accurate risk prediction models for a wide range of diseases. Given the…

Multivariate Hawkes processes are commonly used to model streaming networked event data in a wide variety of applications. However, it remains a challenge to extract reliable inference from complex datasets with uncertainty quantification.…

Machine Learning · Statistics 2020-10-29 Haoyun Wang , Liyan Xie , Alex Cuozzo , Simon Mak , Yao Xie

Clinical decisions are high-stakes and require explicit justification, making model interpretability essential for auditing deep clinical models prior to deployment. As the ecosystem of model architectures and explainability methods…

Machine Learning · Computer Science 2026-03-27 Yongda Fan , John Wu , Andrea Fitzpatrick , Naveen Baskaran , Jimeng Sun , Adam Cross

Heterogeneous information networks (HINs) are ubiquitous in real-world applications. In the meantime, network embedding has emerged as a convenient tool to mine and learn from networked data. As a result, it is of interest to develop HIN…

Social and Information Networks · Computer Science 2018-07-11 Yu Shi , Qi Zhu , Fang Guo , Chao Zhang , Jiawei Han

Linear multivariate Hawkes processes (MHP) are a fundamental class of point processes with self-excitation. When estimating parameters for these processes, a difficulty is that the two main error functionals, the log-likelihood and the…

Methodology · Statistics 2021-11-23 Álvaro Cartea , Samuel N. Cohen , Saad Labyad

The widespread availability of electronic health records (EHRs) promises to usher in the era of personalized medicine. However, the problem of extracting useful clinical representations from longitudinal EHR data remains challenging. In…

Machine Learning · Computer Science 2017-01-27 Zhengping Che , Yu Cheng , Zhaonan Sun , Yan Liu

We propose a novel approach to marked Hawkes kernel inference which we name the moment-based neural Hawkes estimation method. Hawkes processes are fully characterized by their first and second order statistics through a Fredholm integral…

Trading and Market Microstructure · Quantitative Finance 2026-02-02 Timothée Fabre , Ioane Muni Toke

Mechanistic interpretability is an emerging diagnostic approach for neural models that has gained traction in broader natural language processing domains. This paradigm aims to provide attribution to components of neural systems where…

Information Retrieval · Computer Science 2025-01-20 Andrew Parry , Catherine Chen , Carsten Eickhoff , Sean MacAvaney

Mixtures of Hidden Markov Models (MHMMs) are frequently used for clustering of sequential data. An important aspect of MHMMs, as of any clustering approach, is that they can be interpretable, allowing for novel insights to be gained from…

Artificial Intelligence · Computer Science 2021-03-24 Negar Safinianaini , Henrik Boström

Social media conversations unfold based on complex interactions between users, topics and time. While recent models have been proposed to capture network strengths between users, users' topical preferences and temporal patterns between…

Machine Learning · Computer Science 2018-09-13 Srikanta Bedathur , Indrajit Bhattacharya , Jayesh Choudhari , Anirban Dasgupta

This work introduces a self and mutually exciting point process that embeds flexible residuals and intensity with discretely Markovian dynamics. By allowing the integration of diverse residual distributions, this model serves as an…

Statistical Finance · Quantitative Finance 2025-04-02 Kyungsub Lee

Neural networks (NNs) are inherently multidimensional classifiers that learn complex, non-linear relationships among input observables. While their flexibility enables unprecedented performance in high-energy physics (HEP) analyses, it also…