33 citations · 142 across the 20 of their papers we have counts for
23 papers
Isotonic subgroup selection
Manuel M. Müller, Henry W. J. Reeve, Timothy I. Cannings +1
Given a sample of covariate-response pairs, we consider the subgroup selection problem of identifying a subset of the covariate domain where the regression function exceeds a pre-d…
Density Ratio Estimation and Neyman Pearson Classification with Missing Data
Josh Givens, Song Liu, Henry W J Reeve
Density Ratio Estimation (DRE) is an important machine learning technique with many downstream applications. We consider the challenge of DRE with missing not at random (MNAR) data…
A Unified Theory of Diversity in Ensemble Learning
Danny Wood, Tingting Mu, Andrew Webb +3
We present a theory of ensemble diversity, explaining the nature of diversity for a wide range of supervised learning scenarios. This challenge has been referred to as the holy gra…
Asymptotic Optimality for Decentralised Bandits
Conor Newton, Ayalvadi Ganesh, Henry W. J. Reeve
We consider a large number of agents collaborating on a multi-armed bandit problem with a large number of arms. The goal is to minimise the regret of each agent in a communication-…
Optimal subgroup selection
Henry W. J. Reeve, Timothy I. Cannings, Richard J. Samworth
In clinical trials and other applications, we often see regions of the feature space that appear to exhibit interesting behaviour, but it is unclear whether these observed phenomen…
Adaptive transfer learning
Henry W. J. Reeve, Timothy I. Cannings, Richard J. Samworth
In transfer learning, we wish to make inference about a target population when we have access to data both from the distribution itself, and from a different but related source dis…
Statistical optimality conditions for compressive ensembles
Henry W. J. Reeve, Ata Kaban
We present a framework for the theoretical analysis of ensembles of low-complexity empirical risk minimisers trained on independent random compressions of high-dimensional data. Fi…
Optimistic bounds for multi-output prediction
Henry WJ Reeve, Ata Kaban
We investigate the challenge of multi-output learning, where the goal is to learn a vector-valued function based on a supervised data set. This includes a range of important proble…
Margin Maximization as Lossless Maximal Compression
Nikolaos Nikolaou, Henry Reeve, Gavin Brown
The ultimate goal of a supervised learning algorithm is to produce models constructed on the training data that can generalize well to new examples. In classification, functional m…
Fast Rates for a kNN Classifier Robust to Unknown Asymmetric Label Noise
Henry W. J. Reeve, Ata Kaban
We consider classification in the presence of class-dependent asymmetric label noise with unknown noise probabilities. In this setting, identifiability conditions are known, but ad…
Classification with unknown class-conditional label noise on non-compact feature spaces
Henry W J Reeve, Ata Kaban
We investigate the problem of classification in the presence of unknown class-conditional label noise in which the labels observed by the learner have been corrupted with some unkn…
To Ensemble or Not Ensemble: When does End-To-End Training Fail?
Andrew M. Webb, Charles Reynolds, Wenlin Chen +4
End-to-End training (E2E) is becoming more and more popular to train complex Deep Network architectures. An interesting question is whether this trend will continue-are there any c…
The K-Nearest Neighbour UCB algorithm for multi-armed bandits with covariates
Henry WJ Reeve, Joe Mellor, Gavin Brown
In this paper we propose and explore the k-Nearest Neighbour UCB algorithm for multi-armed bandits with covariates. We focus on a setting where the covariates are supported on a me…
Diversity and degrees of freedom in regression ensembles
Henry WJ Reeve, Gavin Brown
Ensemble methods are a cornerstone of modern machine learning. The performance of an ensemble depends crucially upon the level of diversity between its constituent learners. This p…
Minimax rates for cost-sensitive learning on manifolds with approximate nearest neighbours
Henry WJ Reeve, Gavin Brown
We study the approximate nearest neighbour method for cost-sensitive classification on low-dimensional manifolds embedded within a high-dimensional feature space. We determine the…
Modular Autoencoders for Ensemble Feature Extraction
Henry W J Reeve, Gavin Brown
We introduce the concept of a Modular Autoencoder (MAE), capable of learning a set of diverse but complementary representations from unlabelled data, that can later be used for sup…
A Frostman type lemma for sets with large intersections, and an application to Diophantine approximation
Tomas Persson, Henry W. J. Reeve
We consider classes of subsets of , originally introduced by Falconer, that are closed under countable intersections, and such that every set in the…
Multifractal analysis of Birkhoff averages for typical infinitely generated self-affine sets
Antti Käenmäki, Henry WJ Reeve
We develop a thermodynamic formalism for quasi-multiplicative potentials on a countable symbolic space and apply these results to the dimension theory of infinitely generated self-…
On the Diophantine properties of lambda-expansions
Tomas Persson, Henry W. J. Reeve
For and , we consider sets of numbers such that for infinitely many , is -close to some , where . Thes…
Shrinking Targets for Countable Markov Maps
Henry WJ Reeve
Let be an expanding Markov map with a countable number of inverse branches and a repeller contained within the unit interval. Given we consider the set of point…
Infinite Non-Conformal Iterated Function Systems
Henry WJ Reeve
We consider a generalisation of the self-affine iterated function systems of Lalley and Gatzouras by allowing for a countable infinity of non-conformal contractions. It is shown th…
Multifractal analysis for Birkhoff averages on Lalley-Gatzouras repellers
Henry WJ Reeve
We consider the multifractal analysis for Birkhoff averages of continuous potentials on a class of non-conformal repellers corresponding to the self-affine limit sets studied by La…
The packing spectrum for Birkhoff averages on a self-affine repeller
Henry WJ Reeve
We consider the multifractal analysis for Birkhoff averages of continuous potentials on a self-affine Sierpiński sponge. In particular, we give a variational principal for the pack…