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The study of dependence between random variables is the core of theoretical and applied statistics. Static and dynamic copula models are useful for describing the dependence structure, which is fully encrypted in the copula probability…

统计方法学 · 统计学 2018-03-20 Dominque Guégan , Matteo Iacopini

Learning in the latent variable model is challenging in the presence of the complex data structure or the intractable latent variable. Previous variational autoencoders can be low effective due to the straightforward encoder-decoder…

机器学习 · 计算机科学 2018-04-13 Jiangchao Yao , Ivor Tsang , Ya Zhang

This paper proposes multivariate copula models for hierarchical data. They account for two types of correlation: one is between variables measured on the same unit and the other is a correlation between units in the same cluster. This model…

统计方法学 · 统计学 2023-04-24 Talagbe Gabin Akpo , Louis-Paul Rivest

Quantile regression is a field with steadily growing importance in statistical modeling. It is a complementary method to linear regression, since computing a range of conditional quantile functions provides a more accurate modelling of the…

统计方法学 · 统计学 2022-05-09 Marija Tepegjozova , Jing Zhou , Gerda Claeskens , Claudia Czado

Computed tomography (CT) can capture volumes large enough to measure a statistically meaningful number of micron-sized particles with a sufficiently good resolution to allow for the analysis of individual particles. However, the development…

Variational autoencoders (VAEs), that are built upon deep neural networks have emerged as popular generative models in computer vision. Most of the work towards improving variational autoencoders has focused mainly on making the…

机器学习 · 统计学 2016-11-17 Siddharth Agrawal , Ambedkar Dukkipati

In data analysis, there continues to be a need for interpretable dimensionality reduction methods whereby instrinic meaning associated with the data is retained in the reduced space. Standard approaches such as Principal Component Analysis…

数值分析 · 数学 2024-02-13 Maria Emelianenko , Guy B. Oldaker

The study of times to nonterminal events of different types and their interrelation is a compelling area of interest. The primary challenge in analyzing such multivariate event times is the presence of informative censoring by the terminal…

统计方法学 · 统计学 2025-07-29 Xinyuan Chen , Yiwei Li , Qian M. Zhou

While existing depression prediction methods based on deep learning show promise, their practical application is hindered by the lack of trustworthiness, as these deep models are often deployed as black box models, leaving us uncertain on…

机器学习 · 计算机科学 2024-08-28 Yonghong Li , Xiuzhuang Zhou

Off-policy learning in constrained MDPs with large binary state spaces faces a fundamental tension: causal identification of transition dynamics requires structural assumptions, while sample-efficient policy learning requires state-space…

人工智能 · 计算机科学 2026-04-21 Chuhan Qiao

Conformal prediction provides rigorous distribution-free finite-sample guarantees for marginal coverage under the assumption of exchangeability, but may exhibit systematic undercoverage or overcoverage for specific subpopulations. Assessing…

统计方法学 · 统计学 2026-04-24 Zheng Zhou , Xiangfei Zhang , Chongguang Tao , Yuhong Yang

Vision transformers (ViTs) have gained popularity recently. Even without customized image operators such as convolutions, ViTs can yield competitive performance when properly trained on massive data. However, the computational overhead of…

机器学习 · 计算机科学 2022-03-17 Shixing Yu , Tianlong Chen , Jiayi Shen , Huan Yuan , Jianchao Tan , Sen Yang , Ji Liu , Zhangyang Wang

Modeling inviscid compressible flows with shocks and vortex dominated dynamics remains challenging for particle grid methods due to moving discontinuities, cell crossing noise, and quadrature degradation under strong deformation. Building…

流体动力学 · 物理学 2026-03-05 Jiansheng Yao , Yingkui Zhao

The effectiveness of the machine learning methods for real-world tasks depends on the proper structure of the modeling pipeline. The proposed approach is aimed to automate the design of composite machine learning pipelines, which is…

The advent of high-throughput sequencing technologies has lead to vast comparative genome sequences. The construction of gene-gene interaction networks or dependence graphs on the genome scale is vital for understanding the regulation of…

统计方法学 · 统计学 2023-03-06 Xinyao Fan , Harry Joe , Yongjin Park

We propose Deep Autoencoding Predictive Components (DAPC) -- a self-supervised representation learning method for sequence data, based on the intuition that useful representations of sequence data should exhibit a simple structure in the…

机器学习 · 计算机科学 2021-03-02 Junwen Bai , Weiran Wang , Yingbo Zhou , Caiming Xiong

In this letter, we propose a simple yet effective singular value decomposition (SVD) based strategy to reduce the optimization problem dimension in data-enabled predictive control (DeePC). Specifically, in the case of linear time-invariant…

系统与控制 · 电气工程与系统科学 2023-10-09 Kaixiang Zhang , Yang Zheng , Chao Shang , Zhaojian Li

Automated machine learning (AutoML) systems propose an end-to-end solution to a given machine learning problem, creating either fixed or flexible pipelines. Fixed pipelines are task independent constructs: their general composition remains…

State-of-the-art models rely on massive widths despite exhibiting low Intrinsic Dimension (ID). We posit that this redundancy serves the non-convex optimization search rather than the final representation. We validate this hypothesis by…

机器学习 · 计算机科学 2026-02-03 Yusuf Kalyoncuoglu , Ratmir Miftachov

Normative modeling estimates reference distributions of biological measures conditional on covariates, enabling centiles and clinically interpretable deviation scores to be derived. Most neuroimaging pipelines fit one model per…

机器学习 · 计算机科学 2026-02-06 Luke Whitbread , Lyle J. Palmer , Mark Jenkinson