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This article studies the achievable guarantees on the error rates of certain learning algorithms, with particular focus on refining logarithmic factors. Many of the results are based on a general technique for obtaining bounds on the error…

Machine Learning · Computer Science 2016-09-13 Steve Hanneke

When using Bayesian networks for modelling the behavior of man-made machinery, it usually happens that a large part of the model is deterministic. For such Bayesian networks deterministic part of the model can be represented as a Boolean…

Artificial Intelligence · Computer Science 2013-01-18 Thomas D. Nielsen , Pierre-Henri Wuillemin , Finn Verner Jensen , Uffe Kjærulff

We consider the effect of introducing a curriculum of targets when training Boolean models on supervised Multi Label Classification (MLC) problems. In particular, we consider how to order targets in the absence of prior knowledge, and how…

Artificial Intelligence · Computer Science 2017-11-02 Shannon Fenn , Pablo Moscato

Machine learning models are widely used for real-world applications, such as document analysis and vision. Constrained machine learning problems are problems where learned models have to both be accurate and respect constraints. For…

Machine Learning · Computer Science 2021-12-03 Guillaume Perez , Sebastian Ament , Carla Gomes , Arnaud Lallouet

Although neural networks are routinely and successfully trained in practice using simple gradient-based methods, most existing theoretical results are negative, showing that learning such networks is difficult, in a worst-case sense over…

Machine Learning · Computer Science 2017-03-13 Ohad Shamir

The ability to compose learned skills to solve new tasks is an important property of lifelong-learning agents. In this work, we formalise the logical composition of tasks as a Boolean algebra. This allows us to formulate new tasks in terms…

Machine Learning · Computer Science 2020-10-16 Geraud Nangue Tasse , Steven James , Benjamin Rosman

Boolean functions are important primitives in different domains of cryptology, complexity and coding theory. In this paper, we connect the tools from cryptology and complexity theory in the domain of Boolean functions with low polynomial…

Computational Complexity · Computer Science 2021-07-26 Subhamoy Maitra , Chandra Sekhar Mukherjee , Pantelimon Stanica , Deng Tang

Federated Learning is an algorithm suited for training models on decentralized data, but the requirement of a central "server" node is a bottleneck. In this document, we first introduce the notion of Decentralized Federated Learning (DFL).…

Machine Learning · Computer Science 2021-08-10 Zhuofan Zhang , Mi Zhou , Kaicheng Niu , Chaouki Abdallah

We propose an extended framework for marginalized domain adaptation, aimed at addressing unsupervised, supervised and semi-supervised scenarios. We argue that the denoising principle should be extended to explicitly promote domain-invariant…

Computer Vision and Pattern Recognition · Computer Science 2017-02-21 Gabriela Csurka , Boris Chidlovski , Stephane Clinchant , Sophia Michel

A Bayesian net (BN) is more than a succinct way to encode a probabilistic distribution; it also corresponds to a function used to answer queries. A BN can therefore be evaluated by the accuracy of the answers it returns. Many algorithms for…

Artificial Intelligence · Computer Science 2013-02-08 Russell Greiner , Adam J. Grove , Dale Schuurmans

Deep clustering algorithms combine representation learning and clustering by jointly optimizing a clustering loss and a non-clustering loss. In such methods, a deep neural network is used for representation learning together with a…

Machine Learning · Computer Science 2020-06-09 Abien Fred Agarap , Arnulfo P. Azcarraga

We propose a Gradient Boosting algorithm for learning an ensemble of kernel functions adapted to the task at hand. Unlike state-of-the-art Multiple Kernel Learning techniques that make use of a pre-computed dictionary of kernel functions to…

Machine Learning · Statistics 2019-06-17 Léo Gautheron , Pascal Germain , Amaury Habrard , Emilie Morvant , Marc Sebban , Valentina Zantedeschi

In this paper, we study the value distributions of perfect nonlinear functions, i.e., we investigate the sizes of image and preimage sets. Using purely combinatorial tools, we develop a framework that deals with perfect nonlinear functions…

Combinatorics · Mathematics 2023-10-19 Lukas Kölsch , Alexandr Polujan

In this paper we consider learning in passive setting but with a slight modification. We assume that the target expected loss, also referred to as target risk, is provided in advance for learner as prior knowledge. Unlike most studies in…

Machine Learning · Computer Science 2013-05-21 Mehrdad Mahdavi , Rong Jin

We show that passing input points through a simple Fourier feature mapping enables a multilayer perceptron (MLP) to learn high-frequency functions in low-dimensional problem domains. These results shed light on recent advances in computer…

Computer Vision and Pattern Recognition · Computer Science 2020-06-19 Matthew Tancik , Pratul P. Srinivasan , Ben Mildenhall , Sara Fridovich-Keil , Nithin Raghavan , Utkarsh Singhal , Ravi Ramamoorthi , Jonathan T. Barron , Ren Ng

We overview some results on distributed learning with focus on a family of recently proposed algorithms known as non-Bayesian social learning. We consider different approaches to the distributed learning problem and its algorithmic…

Optimization and Control · Mathematics 2016-09-27 Angelia Nedić , Alex Olshevsky , César A. Uribe

The ability to learn different tasks sequentially is essential to the development of artificial intelligence. In general, neural networks lack this capability, the major obstacle being catastrophic forgetting. It occurs when the…

Machine Learning · Computer Science 2021-10-22 Kaustubh Olpadkar , Ekta Gavas

Unsupervised and self-supervised learning approaches have become a crucial tool to learn representations for downstream prediction tasks. While these approaches are widely used in practice and achieve impressive empirical gains, their…

Machine Learning · Computer Science 2020-10-23 Siddhant Garg , Yingyu Liang

We address the problem of minimizing a convex smooth function $f(x)$ over a compact polyhedral set $D$ given a stochastic zeroth-order constraint feedback model. This problem arises in safety-critical machine learning applications, such as…

Optimization and Control · Mathematics 2019-12-10 Ilnura Usmanova , Andreas Krause , Maryam Kamgarpour

We study the problem of training machine learning models incrementally with batches of samples annotated with noisy oracles. We select each batch of samples that are important and also diverse via clustering and importance sampling. More…

Machine Learning · Computer Science 2020-10-30 Gaurav Gupta , Anit Kumar Sahu , Wan-Yi Lin
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