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Noise is one of the primary sources of interference in seismic exploration. Many authors have proposed various methods to remove noise from seismic data; however, in the face of strong noise conditions, satisfactory results are often not…

Geophysics · Physics 2024-04-04 Junheng Peng , Yong Li , Yingtian Liu , Zhangquan Liao

Finding the distribution of vibro-acoustic energy in complex built-up structures in the mid-to-high frequency regime is a difficult task. In particular, structures with large variation of local wavelengths and/or characteristic scales pose…

Chaotic Dynamics · Physics 2015-05-20 Dmitrii N Maksimov , Gregor Tanner

Many statistical models are given in the form of non-normalized densities with an intractable normalization constant. Since maximum likelihood estimation is computationally intensive for these models, several estimation methods have been…

Statistics Theory · Mathematics 2021-09-01 Takeru Matsuda , Masatoshi Uehara , Aapo Hyvarinen

We propose a novel framework for adaptively learning the time-evolving solutions of stochastic partial differential equations (SPDEs) using score-based diffusion models within a recursive Bayesian inference setting. SPDEs play a central…

Computation · Statistics 2025-08-12 Toan Huynh , Ruth Lopez Fajardo , Guannan Zhang , Lili Ju , Feng Bao

Semi-supervised learning aims to learn prediction models from both labeled and unlabeled samples. There has been extensive research in this area. Among existing work, generative mixture models with Expectation-Maximization (EM) is a popular…

Machine Learning · Computer Science 2020-08-31 Wenchong He , Zhe Jiang

This work presents a practical finite element modeling strategy, the Crack Element Method (CEM), for simulating the dynamic crack propagation in two-dimensional structures. The method employs an element-splitting algorithm based on the…

Computational Engineering, Finance, and Science · Computer Science 2025-08-04 Yuxi Xie , Ethan J. Wu , Lu Xu , Jimmy Perez , Shaofan Li

A central issue of many statistical learning problems is to select an appropriate model from a set of candidate models. Large models tend to inflate the variance (or overfitting), while small models tend to cause biases (or underfitting)…

Statistics Theory · Mathematics 2020-12-25 Jie Ding , Enmao Diao , Jiawei Zhou , Vahid Tarokh

Sample selection improves the efficiency and effectiveness of machine learning models by providing informative and representative samples. Typically, samples can be modeled as a sample graph, where nodes are samples and edges represent…

Machine Learning · Computer Science 2025-03-04 Tianchi Xie , Jiangning Zhu , Guozu Ma , Minzhi Lin , Wei Chen , Weikai Yang , Shixia Liu

Diffusion-based speech enhancement (SE) models need to incorporate correct prior knowledge as reliable conditions to generate accurate predictions. However, providing reliable conditions using noisy features is challenging. One solution is…

Sound · Computer Science 2025-10-08 Hao Shi , Xugang Lu , Kazuki Shimada , Tatsuya Kawahara

Climate models play a crucial role in understanding the effect of environmental and man-made changes on climate to help mitigate climate risks and inform governmental decisions. Large global climate models such as the Community Earth System…

Applications · Statistics 2020-12-02 Niccolò Dalmasso , Galen Vincent , Dorit Hammerling , Ann B. Lee

With the explosive growth of Internet data, users are facing the problem of information overload, which makes it a challenge to efficiently obtain the required resources. Recommendation systems have emerged in this context. By filtering…

Information Retrieval · Computer Science 2024-10-22 Wenyi Liu , Rui Wang , Yuanshuai Luo , Jianjun Wei , Zihao Zhao , Junming Huang

The Bayesian and Akaike information criteria aim at finding a good balance between under- and over-fitting. They are extensively used every day by practitioners. Yet we contend they suffer from at least two afflictions: their penalty…

Statistics Theory · Mathematics 2026-03-20 Sylvain Sardy , Maxime van Cutsem , Sara van de Geer

Decision-support for the operation and maintenance of structures provides significant motivation for the development and implementation of structural health monitoring (SHM) systems. Unfortunately, the limited availability of labelled…

Machine Learning · Computer Science 2023-07-17 Aidan J. Hughes , Jack Poole , Nikolaos Dervilis , Paul Gardner , Keith Worden

The spreading of news, memes and other pieces of information occurring via online social platforms has a strong and growing impact on our modern societies, with enormous consequences, that may be beneficial but also catastrophic. In this…

Physics and Society · Physics 2018-08-01 Daniele Notarmuzi , Claudio Castellano

Expectation maximisation (EM) is an unsupervised learning method for estimating the parameters of a finite mixture distribution. It works by introducing "hidden" or "latent" variables via Baum's auxiliary function $Q$ that allow the joint…

Machine Learning · Computer Science 2022-05-19 Graham W. Pulford

Entity information network is used to describe structural relationships between entities. Taking advantage of its extension and heterogeneity, entity information network is more and more widely applied to relationship modeling. Recent…

Information Retrieval · Computer Science 2017-10-11 Liang Yin , Li-Chen Shi , Jun-Yan Zhao , Song-Yang Du , Wen-Bo Xie , Duan-Bing Chen

The aims of our research are to evaluate the prediction performance of the proposed neuro-fuzzy model with System Evaluation and Estimation of Resource Software Estimation Model (SEER-SEM) in software estimation practices and to apply the…

Software Engineering · Computer Science 2015-07-27 Wei Lin Du , Danny Ho , Luiz Fernando Capretz

Regression models fitted to data can be assessed on their goodness of fit, though models with many parameters should be disfavored to prevent over-fitting. Statisticians' tools for this are little known to physical scientists. These include…

Methodology · Statistics 2013-05-28 Robert S. Maier

Mutual information (MI) is one of the most general ways to measure relationships between random variables, but estimating this quantity for complex systems is challenging. Denoising diffusion models have recently set a new bar for density…

Machine Learning · Computer Science 2025-11-20 Longxuan Yu , Xing Shi , Xianghao Kong , Tong Jia , Greg Ver Steeg

Jump Markov linear models consists of a finite number of linear state space models and a discrete variable encoding the jumps (or switches) between the different linear models. Identifying jump Markov linear models makes for a challenging…

Computation · Statistics 2015-02-17 Andreas Svensson , Thomas B. Schön , Fredrik Lindsten
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