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Despite significant advances in the field of deep learning in applications to various fields, explaining the inner processes of deep learning models remains an important and open question. The purpose of this article is to describe and…

Machine Learning · Computer Science 2022-04-20 German Magai , Anton Ayzenberg

The manifold hypothesis presumes that high-dimensional data lies on or near a low-dimensional manifold. While the utility of encoding geometric structure has been demonstrated empirically, rigorous analysis of its impact on the learnability…

Machine Learning · Computer Science 2024-06-04 Bobak T. Kiani , Jason Wang , Melanie Weber

Imitation learning has traditionally been applied to learn a single task from demonstrations thereof. The requirement of structured and isolated demonstrations limits the scalability of imitation learning approaches as they are difficult to…

Robotics · Computer Science 2017-11-27 Karol Hausman , Yevgen Chebotar , Stefan Schaal , Gaurav Sukhatme , Joseph Lim

Due to burdensome data requirements, learning from demonstration often falls short of its promise to allow users to quickly and naturally program robots. Demonstrations are inherently ambiguous and incomplete, making correct generalization…

Machine Learning · Computer Science 2019-04-29 Wonjoon Goo , Scott Niekum

We are interested in derivative-free optimization of high-dimensional functions. The sample complexity of existing methods is high and depends on problem dimensionality, unlike the dimensionality-independent rates of first-order methods.…

Machine Learning · Computer Science 2020-04-28 Ozan Sener , Vladlen Koltun

This paper presents our experiments to quantify the manifolds learned by ML models (in our experiment, we use a GAN model) as they train. We compare the manifolds learned at each epoch to the real manifolds representing the real data. To…

Machine Learning · Computer Science 2024-03-11 Anupam Chaudhuri , Anj Simmons , Mohamed Abdelrazek

We consider the problem of third-person imitation learning with the additional challenge that the learner must select the perspective from which they observe the expert. In our setting, each perspective provides only limited information…

Machine Learning · Computer Science 2023-12-29 Timo Klein , Susanna Weinberger , Adish Singla , Sebastian Tschiatschek

Autoencoders are commonly used in representation learning. They consist of an encoder and a decoder, which provide a straightforward way to map n-dimensional data in input space to a lower m-dimensional representation space and back. The…

Machine Learning · Computer Science 2021-11-16 Viktoria Schuster , Anders Krogh

We study the problem of unlearning datapoints from a learnt model. The learner first receives a dataset $S$ drawn i.i.d. from an unknown distribution, and outputs a model $\widehat{w}$ that performs well on unseen samples from the same…

Machine Learning · Computer Science 2021-07-23 Ayush Sekhari , Jayadev Acharya , Gautam Kamath , Ananda Theertha Suresh

We call a learner super-teachable if a teacher can trim down an iid training set while making the learner learn even better. We provide sharp super-teaching guarantees on two learners: the maximum likelihood estimator for the mean of a…

Machine Learning · Statistics 2018-02-27 Yuzhe Ma , Robert Nowak , Philippe Rigollet , Xuezhou Zhang , Xiaojin Zhu

Multi-instance learning attempts to learn from a training set consisting of labeled bags each containing many unlabeled instances. Previous studies typically treat the instances in the bags as independently and identically distributed.…

Machine Learning · Computer Science 2009-05-13 Zhi-Hua Zhou , Yu-Yin Sun , Yu-Feng Li

Imitation learning aims to extract knowledge from human experts' demonstrations or artificially created agents in order to replicate their behaviors. Its success has been demonstrated in areas such as video games, autonomous driving,…

Machine Learning · Computer Science 2022-10-24 Boyuan Zheng , Sunny Verma , Jianlong Zhou , Ivor Tsang , Fang Chen

We review, for a general audience, a variety of recent experiments on extracting structure from machine-learning mathematical data that have been compiled over the years. Focusing on supervised machine-learning on labeled data from…

Machine Learning · Computer Science 2021-04-09 Yang-Hui He

Learning from Demonstration (LfD) is a framework that allows lay users to easily program robots. However, the efficiency of robot learning and the robot's ability to generalize to task variations hinges upon the quality and quantity of the…

Autoencoders exhibit impressive abilities to embed the data manifold into a low-dimensional latent space, making them a staple of representation learning methods. However, without explicit supervision, which is often unavailable, the…

Machine Learning · Computer Science 2023-01-12 Felix Leeb , Stefan Bauer , Michel Besserve , Bernhard Schölkopf

Although learning from data is effective and has achieved significant milestones, it has many challenges and limitations. Learning from data starts from observations and then proceeds to broader generalizations. This framework is…

Machine Learning · Computer Science 2021-07-29 Ahmad Hammoudeh , Sara Tedmori , Nadim Obeid

The hypothesis that high dimensional data tend to lie in the vicinity of a low dimensional manifold is the basis of manifold learning. The goal of this paper is to develop an algorithm (with accompanying complexity guarantees) for fitting a…

Statistics Theory · Mathematics 2013-12-23 Charles Fefferman , Sanjoy Mitter , Hariharan Narayanan

There is a growing body of work that leverages features extracted via topological data analysis to train machine learning models. While this field, sometimes known as topological machine learning (TML), has seen some notable successes, an…

Machine Learning · Computer Science 2022-11-16 Sarah McGuire , Shane Jackson , Tegan Emerson , Henry Kvinge

Continual Learning (CL) methods usually learn from all available data. However, this is not the case in human cognition which efficiently focuses on key experiences while disregarding the redundant information. Similarly, not all data…

Machine Learning · Computer Science 2024-10-24 Elif Ceren Gok Yildirim , Murat Onur Yildirim , Joaquin Vanschoren

A self-contained introduction is presented of the notion of the (abstract) differentiable manifold and its tangent vector fields. The way in which elementary topological ideas stimulated the passage from Euclidean (vector) spaces and linear…

Mathematical Physics · Physics 2012-04-12 K. Kanakoglou
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