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Conventional methods for student modeling, which involve predicting grades based on measured activities, struggle to provide accurate results for minority/underrepresented student groups due to data availability biases. In this paper, we…

We study the learning properties of nonparametric ridge-less least squares. In particular, we consider the common case of estimators defined by scale dependent kernels, and focus on the role of the scale. These estimators interpolate the…

Machine Learning · Statistics 2021-11-11 Nicolò Pagliana , Alessandro Rudi , Ernesto De Vito , Lorenzo Rosasco

In deep metric learning (DML), high-level input data are represented in a lower-level representation (embedding) space, such that samples from the same class are mapped close together, while samples from disparate classes are mapped further…

Computer Vision and Pattern Recognition · Computer Science 2023-04-03 Ryan Furlong , Vincent O'Brien , James Garland , Daniel Palacios-Alonso , Francisco Dominguez-Mateos

Given additional distributional information in the form of moment restrictions, kernel density and distribution function estimators with implied generalised empirical likelihood probabilities as weights achieve a reduction in variance due…

Methodology · Statistics 2019-10-08 Vitaliy Oryshchenko , Richard J. Smith

Federated Learning (FL) is developed to learn a single global model across the decentralized data, while is susceptible when realizing client-specific personalization in the presence of statistical heterogeneity. However, studies focus on…

Machine Learning · Computer Science 2022-04-27 Changxing Jing , Yan Huang , Yihong Zhuang , Liyan Sun , Yue Huang , Zhenlong Xiao , Xinghao Ding

Deep classifiers are known to rely on spurious features $\unicode{x2013}$ patterns which are correlated with the target on the training data but not inherently relevant to the learning problem, such as the image backgrounds when classifying…

Machine Learning · Computer Science 2022-10-21 Pavel Izmailov , Polina Kirichenko , Nate Gruver , Andrew Gordon Wilson

Fluorescence microscopy images contain several channels, each indicating a marker staining the sample. Since many different marker combinations are utilized in practice, it has been challenging to apply deep learning based segmentation…

Computer Vision and Pattern Recognition · Computer Science 2021-01-28 Alvaro Gomariz , Raphael Egli , Tiziano Portenier , César Nombela-Arrieta , Orcun Goksel

We provide a unifying framework linking two classes of statistics used in two-sample and independence testing: on the one hand, the energy distances and distance covariances from the statistics literature; on the other, distances between…

Machine Learning · Computer Science 2015-03-20 Dino Sejdinovic , Arthur Gretton , Bharath Sriperumbudur , Kenji Fukumizu

By leveraging neural networks, the emerging field of scientific machine learning (SciML) offers novel approaches to address complex problems governed by partial differential equations (PDEs). In practical applications, challenges arise due…

Machine Learning · Computer Science 2024-10-18 Handi Zhang , Langchen Liu , Lu Lu

Understanding how feature learning affects generalization is among the foremost goals of modern deep learning theory. Here, we study how the ability to learn representations affects the generalization performance of a simple class of…

Machine Learning · Computer Science 2022-06-17 Jacob A. Zavatone-Veth , William L. Tong , Cengiz Pehlevan

In federated learning (FL), classifiers (e.g., deep networks) are trained on datasets from multiple data centers without exchanging data across them, which improves the sample efficiency. However, the conventional FL setting assumes the…

Machine Learning · Computer Science 2024-02-16 Qiong Zhang , Jing Peng , Xin Zhang , Aline Talhouk , Gang Niu , Xiaoxiao Li

Learning can be seen as approximating an unknown function by interpolating the training data. Kriging offers a solution to this problem based on the prior specification of a kernel. We explore a numerical approximation approach to kernel…

Machine Learning · Statistics 2019-05-01 Houman Owhadi , Gene Ryan Yoo

We construct a parametrization of deep-inelastic structure functions which retains information on experimental errors and correlations, and which does not introduce any theoretical bias while interpolating between existing data points. We…

High Energy Physics - Phenomenology · Physics 2011-04-12 Stefano Forte , Lluis Garrido , Jose I. Latorre , Andrea Piccione

Federated learning's poor performance in the presence of heterogeneous data remains one of the most pressing issues in the field. Personalized federated learning departs from the conventional paradigm in which all clients employ the same…

Machine Learning · Computer Science 2024-02-27 Mengen Luo , Ercan Engin Kuruoglu

We propose a spectral-based approach to analyze how two-layer neural networks separate from linear methods in terms of approximating high-dimensional functions. We show that quantifying this separation can be reduced to estimating the…

Machine Learning · Statistics 2022-02-24 Lei Wu , Jihao Long

Typical neural network trainings have substantial variance in test-set performance between repeated runs, impeding hyperparameter comparison and training reproducibility. In this work we present the following results towards understanding…

Machine Learning · Computer Science 2024-06-11 Keller Jordan

One of the main computational bottlenecks when working with kernel based learning is dealing with the large and typically dense kernel matrix. Techniques dealing with fast approximations of the matrix vector product for these kernel…

Machine Learning · Computer Science 2024-04-29 Theresa Wagner , Franziska Nestler , Martin Stoll

The use of machine learning models in decision support systems with high societal impact raised concerns about unfair (disparate) results for different groups of people. When evaluating such unfair decisions, one generally relies on…

Machine Learning · Computer Science 2023-05-12 Guilherme Dean Pelegrina , Miguel Couceiro , Leonardo Tomazeli Duarte

Most existing federated learning methods are unable to estimate model/predictive uncertainty since the client models are trained using the standard loss function minimization approach which ignores such uncertainties. In many situations,…

Machine Learning · Computer Science 2023-10-03 Shrey Bhatt , Aishwarya Gupta , Piyush Rai

We compare communication efficiencies of two compelling distributed machine learning approaches of split learning and federated learning. We show useful settings under which each method outperforms the other in terms of communication…

Machine Learning · Computer Science 2019-09-23 Abhishek Singh , Praneeth Vepakomma , Otkrist Gupta , Ramesh Raskar