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It is of importance to develop statistical techniques to analyze high-dimensional data in the presence of both complex dependence and possible outliers in real-world applications such as imaging data analyses. We propose a new robust…

Methodology · Statistics 2021-10-01 Bingyuan Liu , Qi Zhang , Lingzhou Xue , Peter X. K. Song , Jian Kang

Machine learning assumes a pivotal role in our data-driven world. The increasing scale of models and datasets necessitates quick and reliable algorithms for model training. This dissertation investigates adaptivity in machine learning…

Machine Learning · Computer Science 2023-11-20 Slavomír Hanzely

To understand and predict the performance of scientific applications, several analytical and machine learning approaches have been proposed, each having its advantages and disadvantages. In this paper, we propose and validate a hybrid…

Performance · Computer Science 2019-02-27 Huda Ibeid , Siping Meng , Oliver Dobon , Luke Olson , William Gropp

Algorithmic fairness involves expressing notions such as equity, or reasonable treatment, as quantifiable measures that a machine learning algorithm can optimise. Most work in the literature to date has focused on classification problems…

Machine Learning · Computer Science 2020-03-06 Daniel Steinberg , Alistair Reid , Simon O'Callaghan

We study the problem of selecting a subset of vectors from a large set, to obtain the best signal representation over a family of functions. Although greedy methods have been widely used for tackling this problem and many of those have been…

Signal Processing · Electrical Eng. & Systems 2023-05-16 Ehsan Tohidi , Mario Coutino , David Gesbert

We introduce a novel framework for human-AI collaboration in prediction and decision tasks. Our approach leverages human judgment to distinguish inputs which are algorithmically indistinguishable, or "look the same" to any feasible…

Machine Learning · Computer Science 2024-10-21 Rohan Alur , Loren Laine , Darrick K. Li , Dennis Shung , Manish Raghavan , Devavrat Shah

Optimal designs are usually model-dependent and likely to be sub-optimal if the postulated model is not correctly specified. In practice, it is common that a researcher has a list of candidate models at hand and a design has to be found…

Statistics Theory · Mathematics 2023-03-29 Mingyao Ai , Holger Dette , Zhengfu Liu , Jun Yu

Machine learning is a field of computer science that builds algorithms that learn. In many cases, machine learning algorithms are used to recreate a human ability like adding a caption to a photo, driving a car, or playing a game. While the…

Computer Vision and Pattern Recognition · Computer Science 2017-09-21 Ruth Fong , Walter Scheirer , David Cox

Neural networks can be trained to solve regression problems by using gradient-based methods to minimize the square loss. However, practitioners often prefer to reformulate regression as a classification problem, observing that training on…

Machine Learning · Computer Science 2023-03-02 Lawrence Stewart , Francis Bach , Quentin Berthet , Jean-Philippe Vert

Predictive models are being increasingly used to support consequential decision making at the individual level in contexts such as pretrial bail and loan approval. As a result, there is increasing social and legal pressure to provide…

Machine Learning · Computer Science 2020-03-02 Amir-Hossein Karimi , Gilles Barthe , Borja Balle , Isabel Valera

These notes are about ridge functions. Recent years have witnessed a flurry of interest in these functions. Ridge functions appear in various fields and under various guises. They appear in fields as diverse as partial differential…

Classical Analysis and ODEs · Mathematics 2020-09-01 Vugar Ismailov

Robot-assisted navigation is a perfect example of a class of applications requiring flexible control approaches. When the human is reliable, the robot should concede space to their initiative. When the human makes inappropriate choices the…

Robotics · Computer Science 2023-12-25 Placido Falqueto , Alessandro Antonucci , Luigi Palopoli , Daniele Fontanelli

Subset selection, which aims to select a subset from a ground set to maximize some objective function, arises in various applications such as influence maximization and sensor placement. In real-world scenarios, however, one often needs to…

Neural and Evolutionary Computing · Computer Science 2022-05-10 Chao Bian , Yawen Zhou , Chao Qian

Machine learning (ML) models that achieve high average accuracy can still underperform on semantically coherent subsets ("slices") of data. This behavior can have significant societal consequences for the safety or bias of the model in…

Human-Computer Interaction · Computer Science 2024-02-12 Nari Johnson , Ángel Alexander Cabrera , Gregory Plumb , Ameet Talwalkar

The availability of deep hedging has opened new horizons for solving hedging problems under a large variety of realistic market conditions. At the same time, any model - be it a traditional stochastic model or a market generator - is at…

Computational Finance · Quantitative Finance 2025-02-07 Yannick Limmer , Blanka Horvath

Highly accurate numerical or physical experiments are often time-consuming or expensive to obtain. When time or budget restrictions prohibit the generation of additional data, the amount of available samples may be too limited to provide…

Numerical Analysis · Mathematics 2021-12-22 Mengwu Guo , Andrea Manzoni , Maurice Amendt , Paolo Conti , Jan S. Hesthaven

We connect high-dimensional subset selection and submodular maximization. Our results extend the work of Das and Kempe (2011) from the setting of linear regression to arbitrary objective functions. For greedy feature selection, this…

Machine Learning · Statistics 2017-10-13 Ethan R. Elenberg , Rajiv Khanna , Alexandros G. Dimakis , Sahand Negahban

Recent results in nonparametric regression show that for deep learning, i.e., for neural network estimates with many hidden layers, we are able to achieve good rates of convergence even in case of high-dimensional predictor variables,…

Statistics Theory · Mathematics 2019-12-12 Alina Braun , Michael Kohler , Adam Krzyzak

A framework is introduced for solving a sequence of slowly changing optimization problems, including those arising in regression and classification applications, using optimization algorithms such as stochastic gradient descent (SGD). The…

Machine Learning · Computer Science 2015-09-25 Craig Wilson , Venugopal V. Veeravalli

We consider active, semi-supervised learning in an offline transductive setting. We show that a previously proposed error bound for active learning on undirected weighted graphs can be generalized by replacing graph cut with an arbitrary…

Machine Learning · Computer Science 2012-02-20 Andrew Guillory , Jeff A. Bilmes