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This work focuses on the issue of variable selection in functional regression. Unlike most work in this framework, our approach does not select isolated points in the definition domain of the predictors, nor does it rely on the expansion of…

Statistics Theory · Mathematics 2018-03-05 Victor Picheny , Rémi Servien , Nathalie Villa-Vialaneix

We propose a new method for dimension reduction in regression using the first two inverse moments. We develop corresponding weighted chi-squared tests for the dimension of the regression. The proposed method considers linear combinations of…

Methodology · Statistics 2013-08-27 Zhishen Ye , Jie Yang

Motivation: Human genomic datasets often contain sensitive information that limits use and sharing of the data. In particular, simple anonymisation strategies fail to provide sufficient level of protection for genomic data, because the data…

Quantitative Methods · Quantitative Biology 2019-08-27 Teppo Niinimäki , Mikko Heikkilä , Antti Honkela , Samuel Kaski

The field of precision medicine aims to tailor treatment based on patient-specific factors in a reproducible way. To this end, estimating an optimal individualized treatment regime (ITR) that recommends treatment decisions based on patient…

Cancer prognosis is often based on a set of omics covariates and a set of established clinical covariates such as age and tumor stage. Combining these two sets poses challenges. First, dimension difference: clinical covariates should be…

Skin cancer is the most common cancer type. Usually, patients with suspicion of cancer are treated by doctors without any aided visual inspection. At this point, dermoscopy has become a suitable tool to support physicians in their…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-25 Yongli Mou , Sascha Welten , Yeliz Ucer Yediel , Toralf Kirsten , Oya Deniz Beyan

It is increasingly common clinically for cancer specimens to be examined using techniques that identify somatic mutations. In principle these mutational profiles can be used to diagnose the tissue of origin, a critical task for the 3-5% of…

Methodology · Statistics 2020-07-14 Saptarshi Chakraborty , Colin B. Begg , Ronglai Shen

We propose a new methodology for selecting and ranking covariates associated with a variable of interest in a context of high-dimensional data under dependence but few observations. The methodology successively intertwines the clustering of…

The studies of large-scale, high-dimensional data in fields such as genomics and neuroscience have injected new insights into science. Yet, despite advances, they are confronting several challenges, often simultaneously: lack of…

Methodology · Statistics 2024-01-01 Julien Bodelet , Guillaume Blanc , Jiajun Shan , Graciela Muniz Terrera , Oliver Y. Chen

Skin lesions are classified in benign or malignant. Among the malignant, melanoma is a very aggressive cancer and the major cause of deaths. So, early diagnosis of skin cancer is very desired. In the last few years, there is a growing…

Current clinical decision-making in oncology relies on averages of large patient populations to both assess tumor status and treatment outcomes. However, cancers exhibit an inherent evolving heterogeneity that requires an individual…

Spectral dimensionality reduction methods enable linear separations of complex data with high-dimensional features in a reduced space. However, these methods do not always give the desired results due to irregularities or uncertainties of…

Machine Learning · Statistics 2018-05-21 Momo Matsuda , Keiichi Morikuni , Tetsuya Sakurai

Clinical research often focuses on complex traits in which many variables play a role in mechanisms driving, or curing, diseases. Clinical prediction is hard when data is high-dimensional, but additional information, like domain knowledge…

Methodology · Statistics 2020-05-21 Mirrelijn M. van Nee , Lodewyk F. A. Wessels , Mark A. van de Wiel

Introduction: Even in effectively conducted randomised trials, the probability of a successful study remains relatively low. With recent advances in the next-generation sequencing technologies, there is a rapidly growing number of…

Motivation: The high dimensionality of genomic data calls for the development of specific classification methodologies, especially to prevent over-optimistic predictions. This challenge can be tackled by compression and variable selection,…

Methodology · Statistics 2021-04-10 G. Durif , L. Modolo , J. Michaelsson , J. E. Mold , S. Lambert-Lacroix , F. Picard

Modeling tumor growth accurately is essential for understanding cancer progression and informing treatment strategies. To estimate the parameters in the tumor growth model described by a nonlinear PDE, we adopt Physics-Informed Neural…

Analysis of PDEs · Mathematics 2025-11-21 Liu Liu , Yifei Wang , Qinyu Xu , Xiaoqian Xu

Data-driven individualized decision making has recently received increasing research interests. Most existing methods rely on the assumption of no unmeasured confounding, which unfortunately cannot be ensured in practice especially in…

Methodology · Statistics 2022-12-26 Zhengling Qi , Rui Miao , Xiaoke Zhang

Real-life medical data is often multimodal and incomplete, fueling the growing need for advanced deep learning models capable of integrating them efficiently. The use of diverse modalities, including histopathology slides, MRI, and genetic…

Artificial Intelligence · Computer Science 2024-10-02 Lucas Robinet , Ahmad Berjaoui , Ziad Kheil , Elizabeth Cohen-Jonathan Moyal

Cancer is a highly heterogeneous disease with significant variability in molecular features and clinical outcomes, making diagnosis and treatment challenging. In recent years, high-throughput omic technologies have facilitated the discovery…

Quantitative Methods · Quantitative Biology 2024-08-19 Saiful Islam , Md. Nahid Hasan

Feature screening is an important method to reduce the dimension and capture informative variables in ultrahigh-dimensional data analysis. Many methods have been developed for feature screening. These methods, however, are challenged by…

Methodology · Statistics 2019-01-08 Li-Pang Chen