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This paper introduces kernel continual learning, a simple but effective variant of continual learning that leverages the non-parametric nature of kernel methods to tackle catastrophic forgetting. We deploy an episodic memory unit that…

Machine Learning · Computer Science 2021-07-16 Mohammad Mahdi Derakhshani , Xiantong Zhen , Ling Shao , Cees G. M. Snoek

Recently proposed encoder-decoder structures for modeling Hawkes processes use transformer-inspired architectures, which encode the history of events via embeddings and self-attention mechanisms. These models deliver better prediction and…

Machine Learning · Computer Science 2022-02-07 Yamac Alican Isik , Connor Davis , Paidamoyo Chapfuwa , Ricardo Henao

In this paper, we introduce a new kernel function which differs from previous functions, and play an important role for generating a new design of primal-dual interior point algorithms for semidefinite linear complementarity problem. Its…

Numerical Analysis · Mathematics 2021-08-18 Nabila Abdessemed , Rachid Benacer , Naima Boudiaf

In contrast to current state-of-the-art methods, such as NSFP [25], which employ deep implicit neural functions for modeling scene flow, we present a novel approach that utilizes classical kernel representations. This representation enables…

Computer Vision and Pattern Recognition · Computer Science 2024-03-12 Xueqian Li , Simon Lucey

Modern deep learning approaches have achieved groundbreaking performance in modeling and classifying sequential data. Specifically, attention networks constitute the state-of-the-art paradigm for capturing long temporal dynamics. This paper…

Computation and Language · Computer Science 2019-05-07 Harris Partaourides , Kostantinos Papadamou , Nicolas Kourtellis , Ilias Leontiadis , Sotirios Chatzis

We investigate applications of deep neural networks to a point process having an intensity with mixing covariates processes as input. Our generic model includes Cox-type models and marked point processes as well as multivariate point…

Statistics Theory · Mathematics 2025-04-23 Yoshihiro Gyotoku , Ioane Muni Toke , Nakahiro Yoshida

Under the frequency domain framework for weakly dependent functional time series, a key element is the spectral density kernel which encapsulates the second-order dynamics of the process. We propose a class of spectral density kernel…

Statistics Theory · Mathematics 2018-12-11 Tingyi Zhu , Dimitris N. Politis

We investigate spatio-temporal event analysis using point processes. Inferring the dynamics of event sequences spatiotemporally has many practical applications including crime prediction, social media analysis, and traffic forecasting. In…

Machine Learning · Computer Science 2021-02-17 Fatih Ilhan , Suleyman Serdar Kozat

Deep neural network models have recently draw lots of attention, as it consistently produce impressive results in many computer vision tasks such as image classification, object detection, etc. However, interpreting such model and show the…

Machine Learning · Computer Science 2019-01-30 Shipeng Xie , Da Chen , Rong Zhang , Hui Xue

Complex models are often used to understand interactions and drivers of human-induced and/or natural phenomena. It is worth identifying the input variables that drive the model output(s) in a given domain and/or govern specific model…

Methodology · Statistics 2023-11-07 Matieyendou Lamboni

Temporal point process as the stochastic process on continuous domain of time is commonly used to model the asynchronous event sequence featuring with occurrence timestamps. Thanks to the strong expressivity of deep neural networks, they…

Machine Learning · Computer Science 2024-12-25 Haitao Lin , Cheng Tan , Lirong Wu , Zhangyang Gao , Zicheng Liu , Stan. Z. Li

Recurrent neural network based solutions are increasingly being used in the analysis of longitudinal Electronic Health Record data. However, most works focus on prediction accuracy and neglect prediction uncertainty. We propose Deep Kernel…

Machine Learning · Computer Science 2021-07-27 Zhiliang Wu , Yinchong Yang , Peter A. Fasching , Volker Tresp

Distantly supervised relation extraction intrinsically suffers from noisy labels due to the strong assumption of distant supervision. Most prior works adopt a selective attention mechanism over sentences in a bag to denoise from wrongly…

Computation and Language · Computer Science 2019-11-28 Yang Li , Guodong Long , Tao Shen , Tianyi Zhou , Lina Yao , Huan Huo , Jing Jiang

We propose a novel spectral generative modeling framework for natural language processing that jointly learns a global time varying Fourier dictionary and per token mixing coefficients, replacing the ubiquitous self attention mechanism in…

Computation and Language · Computer Science 2025-05-02 Andrew Kiruluta

Context plays a crucial role in visual recognition as it provides complementary clues for different learning tasks including image classification and annotation. As the performances of these tasks are currently reaching a plateau, any extra…

Computer Vision and Pattern Recognition · Computer Science 2020-01-01 Mingyuan Jiu , Hichem Sahbi

We present a novel framework for kernel learning with sequential data of any kind, such as time series, sequences of graphs, or strings. Our approach is based on signature features which can be seen as an ordered variant of sample…

Machine Learning · Statistics 2016-02-01 Franz J Király , Harald Oberhauser

We consider the prediction problem of a continuous-time stochastic process on an entire time-interval in terms of its recent past. The approach we adopt is based on functional kernel nonparametric regression estimation techniques where…

Statistics Theory · Mathematics 2007-06-13 Anestis Antoniadis , Efstathios Paparoditis , Theofanis Sapatinas

We consider the problem of inferring the interaction kernel of stochastic interacting particle systems from observations of a single particle. We adopt a semi-parametric approach and represent the interaction kernel in terms of a…

Statistics Theory · Mathematics 2025-10-31 Grigorios A. Pavliotis , Andrea Zanoni

The robust distributed state estimation for a class of continuous-time linear time-invariant systems is achieved by a novel kernel-based distributed observer, which, for the first time, ensures fixed-time convergence properties. The…

Systems and Control · Electrical Eng. & Systems 2022-09-21 Pudong Ge , Peng Li , Boli Chen , Fei Teng

The Hawkes process (HP) is commonly used to model event sequences with self-reinforcing dynamics, including electronic health records (EHRs). Traditional HPs capture self-reinforcement via parametric impact functions that can be inspected…

Machine Learning · Statistics 2025-10-23 Yuankang Zhao , Matthew Engelhard