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In this paper, we propose a recurrent neural network (RNN)-based framework for estimating the parameters of the fractional Poisson process (FPP), which models event arrivals with memory and long-range dependence. The Long Short-Term Memory…

Machine Learning · Computer Science 2025-12-08 Neha Gupta , Aditya Maheshwari

Recent progress in Language Models (LMs) has dramatically advanced the field of natural language processing (NLP), excelling at tasks like text generation, summarization, and question answering. However, their inference remains…

Machine Learning · Computer Science 2025-06-10 Adarsh Prasad Behera , Jaya Prakash Champati , Roberto Morabito , Sasu Tarkoma , James Gross

As a conventional means to analyze the system mechanism based on partial differential equations (PDE) or nonlinear dynamics, iterative algorithms are computationally intensive. In this framework, the details of oscillating dynamics of…

Optics · Physics 2025-01-07 Maolin Wang , Pengxiang Wang , Gang Xu

Most of the current top-down multi-person pose estimation lightweight methods are based on multi-branch parallel pure CNN network architecture, which often struggle to capture the global context required for detecting semantically complex…

Computer Vision and Pattern Recognition · Computer Science 2025-11-14 Biao Guo , Cong Zhou , Fangmin Guo , Xiaonan Luo , Guibo Luo , Feng Zhang

We propose a new computationally efficient sampling scheme for Bayesian inference involving high dimensional probability distributions. Our method maps the original parameter space into a low-dimensional latent space, explores the latent…

Computation · Statistics 2019-10-15 Babak Shahbaba , Luis Martinez Lomeli , Tian Chen , Shiwei Lan

Inference for spatial generalized linear mixed models (SGLMMs) for high-dimensional non-Gaussian spatial data is computationally intensive. The computational challenge is due to the high-dimensional random effects and because Markov chain…

Computation · Statistics 2018-10-09 Yawen Guan , Murali Haran

The Gaussian process state-space model (GPSSM) has attracted extensive attention for modeling complex nonlinear dynamical systems. However, the existing GPSSM employs separate Gaussian processes (GPs) for each latent state dimension,…

Machine Learning · Computer Science 2023-09-06 Zhidi Lin , Juan Maroñas , Ying Li , Feng Yin , Sergios Theodoridis

Spatial econometric research typically relies on the assumption that the spatial dependence structure is known in advance and is represented by a deterministic spatial weights matrix. Contrary to classical approaches, we investigate the…

Computation · Statistics 2023-10-24 Miryam S. Merk , Philipp Otto

Long Short-Term Memory (LSTM) is one of the most powerful sequence models. Despite the strong performance, however, it lacks the nice interpretability as in state space models. In this paper, we present a way to combine the best of both…

Machine Learning · Computer Science 2017-12-04 Xun Zheng , Manzil Zaheer , Amr Ahmed , Yuan Wang , Eric P Xing , Alexander J Smola

Time-dependent partial differential equations (PDEs) often develop sharp fronts, localized peaks, and other moving structures that occupy only a small portion of the space--time domain but dominate the approximation error. This makes fixed…

Numerical Analysis · Mathematics 2026-05-27 Beining Xu , Bocheng Zhang , Haijun Yu , Zhao Zhang , Jiayu Zhai

Due to the ease of modern data collection, applied statisticians often have access to a large set of covariates that they wish to relate to some observed outcome. Generalized linear models (GLMs) offer a particularly interpretable framework…

Computation · Statistics 2019-05-21 Brian L. Trippe , Jonathan H. Huggins , Raj Agrawal , Tamara Broderick

Predictive Process Monitoring (PPM) aims to forecast the future behavior of ongoing process instances using historical event data, enabling proactive decision-making. While recent advances rely heavily on deep learning models such as LSTMs…

Machine Learning · Computer Science 2025-09-23 Amaan Ansari , Lukas Kirchdorfer , Raheleh Hadian

We introduce a data-driven forecasting method for high-dimensional chaotic systems using long short-term memory (LSTM) recurrent neural networks. The proposed LSTM neural networks perform inference of high-dimensional dynamical systems in…

Computational Physics · Physics 2019-09-20 Pantelis R. Vlachas , Wonmin Byeon , Zhong Y. Wan , Themistoklis P. Sapsis , Petros Koumoutsakos

Switching state-space models (SSSM) are a very popular class of time series models that have found many applications in statistics, econometrics and advanced signal processing. Bayesian inference for these models typically relies on Markov…

Computation · Statistics 2010-11-11 Nick Whiteley , Christophe Andrieu , Arnaud Doucet

Parameter estimation is a foundational step in statistical modeling, enabling us to extract knowledge from data and apply it effectively. Bayesian estimation of parameters incorporates prior beliefs with observed data to infer distribution…

Methodology · Statistics 2025-06-24 Fahad Mostafa , Md Rejuan Haque , Md Mostafijur Rahman , Farzana Nasrin

Dynamic modeling of longitudinal networks has been an increasingly important topic in applied research. While longitudinal network data commonly exhibit dramatic changes in its structures, existing methods have largely focused on modeling…

Methodology · Statistics 2018-11-06 Jong Hee Park , Yunkyu Sohn

High-dimensional and sparse (HiDS) matrices are omnipresent in a variety of big data-related applications. Latent factor analysis (LFA) is a typical representation learning method that extracts useful yet latent knowledge from HiDS matrices…

Machine Learning · Computer Science 2022-04-19 Di Wu , Peng Zhang , Yi He , Xin Luo

Based on the tensor-based large margin distribution and the nonparallel support tensor machine, we establish a novel classifier for binary classification problem in this paper, termed the Large Margin Distribution based NonParallel Support…

Optimization and Control · Mathematics 2025-07-18 Zhuolin Du , Yisheng Song

In this paper, we propose multi-variable LSTM capable of accurate forecasting and variable importance interpretation for time series with exogenous variables. Current attention mechanism in recurrent neural networks mostly focuses on the…

Machine Learning · Computer Science 2018-06-19 Tian Guo , Tao Lin

We introduce a semiparametric latent space model for analyzing longitudinal network data. The model consists of a static latent space component and a time-varying node-specific baseline component. We develop a semiparametric efficient score…

Statistics Theory · Mathematics 2025-02-14 Yinqiu He , Jiajin Sun , Yuang Tian , Zhiliang Ying , Yang Feng
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