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The objective of the paper is to study accuracy of multi-class classification in high-dimensional setting, where the number of classes is also large ("large $L$, large $p$, small $n$" model). While this problem arises in many practical…

统计理论 · 数学 2019-07-18 Felix Abramovich , Marianna Pensky

An important problem in the analysis of experimental data showing fractal properties, is that such samples are composed by a set of points limited by an upper and a lower cut off. We study how finite size effect due to the discreteness of…

凝聚态物理 · 物理学 2007-05-23 A. Amici , M. Montuori

There are well-established methods for identifying the causal effect of a time-varying treatment applied at discrete time points. However, in the real world, many treatments are continuous or have a finer time scale than the one used for…

统计方法学 · 统计学 2023-06-16 Jinghao Sun , Forrest W. Crawford

The class-imbalance issue is intrinsic to many real-world machine learning tasks, particularly to the rare-event classification problems. Although the impact and treatment of imbalanced data is widely known, the magnitude of a metric's…

机器学习 · 计算机科学 2022-06-22 Azim Ahmadzadeh , Rafal A. Angryk

It is known that discrete scale invariance leads to log-periodic corrections to scaling. We investigate the correlations of a system with discrete scale symmetry, discuss in detail possible extension of this symmetry such as translation and…

凝聚态物理 · 物理学 2009-11-07 N. Abed-Pour , A. Aghamohammadi , M. Khorrami , M. Reza Rahimi Tabar

Multiscale models allow for the treatment of complex phenomena involving different scales, such as remodeling and growth of tissues, muscular activation, and cardiac electrophysiology. Numerous numerical approaches have been developed to…

数值分析 · 数学 2018-06-28 Marco Favino , Alessio Quaglino , Sonia Pozzi , Rolf Krause , Igor Pivkin

It is an important subject how deal with the symptom's data, input data, to improve the accuracy and efficiency of the diagnostic algorithm in the medical decision support systems. In this paper, we described a method for the numerical…

计算机与社会 · 计算机科学 2018-11-19 Won-Il Song , Taek-Jong Kim

Disparate treatment occurs when a machine learning model yields different decisions for individuals based on a sensitive attribute (e.g., age, sex). In domains where prediction accuracy is paramount, it could potentially be acceptable to…

机器学习 · 计算机科学 2022-04-15 Hao Wang , Hsiang Hsu , Mario Diaz , Flavio P. Calmon

Measurement is a fundamental building block of numerous scientific models and their creation. This is in particular true for data driven science. Due to the high complexity and size of modern data sets, the necessity for the development of…

人工智能 · 计算机科学 2022-04-26 Tom Hanika , Johannes Hirth

Model bias triggered by long-tailed data has been widely studied. However, measure based on the number of samples cannot explicate three phenomena simultaneously: (1) Given enough data, the classification performance gain is marginal with…

计算机视觉与模式识别 · 计算机科学 2023-04-11 Yanbiao Ma , Licheng Jiao , Fang Liu , Yuxin Li , Shuyuan Yang , Xu Liu

Personalized fall detection system is shown to provide added and more benefits compare to the current fall detection system. The personalized model can also be applied to anything where one class of data is hard to gather. The results show…

机器学习 · 计算机科学 2020-12-22 Pranesh Vallabh , Nazanin Malekian , Reza Malekian , Ting-Mei Li

Annotating data for sensitive labels (e.g., disease, smoking) poses a potential threats to individual privacy in many real-world scenarios. To cope with this problem, we propose a novel setting to protect privacy of each instance, namely…

机器学习 · 计算机科学 2024-12-04 Zhongnian Li , Meng Wei , Peng Ying , Tongfeng Sun , Xinzheng Xu

Classification and clustering are both important topics in statistical learning. A natural question herein is whether predefined classes are really different from one another, or whether clusters are really there. Specifically, we may be…

机器学习 · 统计学 2015-09-22 Qiyi Lu , Xingye Qiao

Saliency methods are widely used to visualize which input features are deemed relevant to a model's prediction. However, their visual plausibility can obscure critical limitations. In this work, we propose a diagnostic test for class…

计算机视觉与模式识别 · 计算机科学 2025-06-17 Dane Williamson , Yangfeng Ji , Matthew Dwyer

In tabular biomedical data analysis, tuning models to high accuracy is considered a prerequisite for discussing feature importance, as medical practitioners expect the validity of feature importance to correlate with performance. In this…

机器学习 · 统计学 2025-10-20 Youngro Lee , Giacomo Baruzzo , Jeonghwan Kim , Jongmo Seo , Barbara Di Camillo

We consider various definitions of degrees of discrete functions and establish relations between the number of relevant (essential) variables and degrees of two- and three-valued functions. Keywords: relevant variable, sensitivity, degree…

组合数学 · 数学 2025-12-01 V. N. Potapov

Perception is often viewed as a process that transforms physical variables, external to an observer, into internal psychological variables. Such a process can be modeled by a function coined perceptual scale. The perceptual scale can be…

神经元与认知 · 定量生物学 2024-03-19 Jonathan Vacher , Pascal Mamassian

In discrete convex analysis, the scaling and proximity properties for the class of L$^\natural$-convex functions were established more than a decade ago and have been used to design efficient minimization algorithms. For the larger class of…

组合数学 · 数学 2017-12-13 Satoko Moriguchi , Kazuo Murota , Akihisa Tamura , Fabio Tardella

Ordered response scales are ubiquitous in economics, but their interpretation rests on an untested assumption: that numerical labels reflect equal psychological intervals. The contribution of this paper is to provide a systematic assessment…

综合经济学 · 经济学 2025-09-03 Caspar Kaiser , Anthony Lepinteur

The problem of identifying to which of a given set of classes objects belong is ubiquitous, occurring in many research domains and application areas, including medical diagnosis, financial decision making, online commerce, and national…

机器学习 · 计算机科学 2024-09-20 David J. Hand , Peter Christen , Sumayya Ziyad
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