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The learning capability of a neural network improves with increasing depth at higher computational costs. Wider layers with dense kernel connectivity patterns furhter increase this cost and may hinder real-time inference. We propose feature…

Machine Learning · Computer Science 2016-11-01 Sajid Anwar , Wonyong Sung

In many applications, linear models fit the data poorly. This article studies an appealing alternative, the generalized regression model. This model only assumes that there exists an unknown monotonically increasing link function connecting…

Methodology · Statistics 2017-07-24 Fang Han , Hongkai Ji , Zhicheng Ji , Honglang Wang

Coarse graining enables the investigation of molecular dynamics for larger systems and at longer timescales than is possible at atomic resolution. However, a coarse graining model must be formulated such that the conclusions we draw from it…

With promising empirical performance across a wide range of applications, synthetic data augmentation appears a viable solution to data scarcity and the demands of increasingly data-intensive models. Its effectiveness lies in expanding the…

Machine Learning · Computer Science 2026-02-02 Zixuan Wu , So Won Jeong , Yating Liu , Yeo Jin Jung , Claire Donnat

The high dimensional nature of genomics data complicates feature selection, in particular in low sample size studies - not uncommon in clinical prediction settings. It is widely recognized that complementary data on the features, `co-data',…

Methodology · Statistics 2024-05-09 Mark A. van de Wiel , Wessel N. van Wieringen

Data augmentation is a technique to improve the generalization ability of machine learning methods by increasing the size of the dataset. However, since every augmentation method is not equally effective for every dataset, you need to…

Machine Learning · Computer Science 2022-05-31 Daisuke Oba , Shinnosuke Matsuo , Brian Kenji Iwana

Prediction in high dimensional settings is difficult due to large by number of variables relative to the sample size. We demonstrate how auxiliary "co-data" can be used to improve the performance of a Random Forest in such a setting.…

Applications · Statistics 2017-06-05 Dennis E. te Beest , Steven W. Mes , Ruud H. Brakenhoff , Mark A. van de Wiel

We provide a unified analysis of the predictive risk of ridge regression and regularized discriminant analysis in a dense random effects model. We work in a high-dimensional asymptotic regime where $p, n \to \infty$ and $p/n \to \gamma \in…

Statistics Theory · Mathematics 2015-11-05 Edgar Dobriban , Stefan Wager

Scalability of graph neural networks remains one of the major challenges in graph machine learning. Since the representation of a node is computed by recursively aggregating and transforming representation vectors of its neighboring nodes…

Machine Learning · Computer Science 2021-06-10 Zengfeng Huang , Shengzhong Zhang , Chong Xi , Tang Liu , Min Zhou

Data sharpening has been shown to reduce bias in nonparametric regression and density estimation. Its performance on nonlinear first order autoregressive models is studied theoretically and numerically in this paper. Although the asymptotic…

Methodology · Statistics 2025-05-13 Simon Snyman , Lengyi Han , W. John Braun

The great success of deep learning heavily relies on increasingly larger training data, which comes at a price of huge computational and infrastructural costs. This poses crucial questions that, do all training data contribute to model's…

Machine Learning · Computer Science 2023-02-28 Shuo Yang , Zeke Xie , Hanyu Peng , Min Xu , Mingming Sun , Ping Li

Sparsity helps reduce the computational complexity of deep neural networks by skipping zeros. Taking advantage of sparsity is listed as a high priority in next generation DNN accelerators such as TPU. The structure of sparsity, i.e., the…

Machine Learning · Computer Science 2017-06-06 Huizi Mao , Song Han , Jeff Pool , Wenshuo Li , Xingyu Liu , Yu Wang , William J. Dally

We investigate how various coarse-graining methods affect the scaling properties of long-range power-law correlated and anti-correlated signals, quantified by the detrended fluctuation analysis. Specifically, for coarse-graining in the…

Data Analysis, Statistics and Probability · Physics 2015-05-18 Yinlin Xu , Qianli D. Y. Ma , Daniel T. Schmitt , Pedro Bernaola-Galván , Plamen Ch. Ivanov

The Gaussian process (GP) regression can be severely biased when the data are contaminated by outliers. This paper presents a new robust GP regression algorithm that iteratively trims the most extreme data points. While the new algorithm…

Machine Learning · Computer Science 2021-06-15 Zhao-Zhou Li , Lu Li , Zhengyi Shao

Big data often has emergent structure that exists at multiple levels of abstraction, which are useful for characterizing complex interactions and dynamics of the observations. Here, we consider multiple levels of abstraction via a…

Data augmentation has been widely applied as an effective methodology to improve generalization in particular when training deep neural networks. Recently, researchers proposed a few intensive data augmentation techniques, which indeed…

Machine Learning · Computer Science 2019-11-22 Zhuoxun He , Lingxi Xie , Xin Chen , Ya Zhang , Yanfeng Wang , Qi Tian

In this paper, we investigate whether we could use pruning as a reliable method to boost the generalization ability of the model. We found that existing pruning method like L2 can already offer small improvement on the target domain…

Machine Learning · Computer Science 2023-06-27 Xinglong Sun

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

By removing parameters from deep neural networks, unstructured pruning methods aim at cutting down memory footprint and computational cost, while maintaining prediction accuracy. In order to tackle this otherwise intractable problem, many…

Machine Learning · Computer Science 2020-06-23 César Laurent , Camille Ballas , Thomas George , Nicolas Ballas , Pascal Vincent

Generalization is a central problem in Machine Learning. Indeed most prediction methods require careful calibration of hyperparameters usually carried out on a hold-out \textit{validation} dataset to achieve generalization. The main goal of…

Machine Learning · Statistics 2021-02-18 Karim Lounici , Katia Meziani , Benjamin Riu