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Invoking the manifold assumption in machine learning requires knowledge of the manifold's geometry and dimension, and theory dictates how many samples are required. However, in applications data are limited, sampling may not be uniform, and…

Machine Learning · Computer Science 2023-03-02 Luciano Dyballa , Steven W. Zucker

The k-nearest-neighbor method performs classification tasks for a query sample based on the information contained in its neighborhood. Previous studies into the k-nearest-neighbor algorithm usually achieved the decision value for a class by…

Machine Learning · Computer Science 2018-12-10 Chengsheng Mao , Bin Hu , Lei Chen , Philip Moore , Xiaowei Zhang

Metric learning methods have been shown to perform well on different learning tasks. Many of them rely on target neighborhood relationships that are computed in the original feature space and remain fixed throughout learning. As a result,…

Machine Learning · Computer Science 2012-07-02 Jun Wang , Adam Woznica , Alexandros Kalousis

When training automated systems, it has been shown to be beneficial to adapt the representation of data by learning a problem-specific metric. This metric is global. We extend this idea and, for the widely used family of k nearest neighbors…

Machine Learning · Computer Science 2021-09-30 Jan Philip Göpfert , Heiko Wersing , Barbara Hammer

A neighborhood graph, which represents the instances as vertices and their relations as weighted edges, is the basis of many semi-supervised and relational models for node labeling and link prediction. Most methods employ a sequential…

Social and Information Networks · Computer Science 2016-07-05 Shobeir Fakhraei , Dhanya Sridhar , Jay Pujara , Lise Getoor

A central goal of meta-learning is to find a learning rule that enables fast adaptation across a set of tasks, by learning the appropriate inductive bias for that set. Most meta-learning algorithms try to find a \textit{global} learning…

Machine Learning · Computer Science 2020-02-11 Wonjoon Goo , Scott Niekum

$k$-nearest neighbor classification is a popular non-parametric method because of desirable properties like automatic adaption to distributional scale changes. Unfortunately, it has thus far proved difficult to design active learning…

Machine Learning · Computer Science 2023-08-22 Nick Rittler , Kamalika Chaudhuri

In this report we review memory-based meta-learning as a tool for building sample-efficient strategies that learn from past experience to adapt to any task within a target class. Our goal is to equip the reader with the conceptual…

Meta-learning usually refers to a learning algorithm that learns from other learning algorithms. The problem of uncertainty in the predictions of neural networks shows that the world is only partially predictable and a learned neural…

Machine Learning · Computer Science 2023-02-27 Yuwei Sun

We build a theoretical framework for designing and understanding practical meta-learning methods that integrates sophisticated formalizations of task-similarity with the extensive literature on online convex optimization and sequential…

Machine Learning · Computer Science 2019-12-10 Mikhail Khodak , Maria-Florina Balcan , Ameet Talwalkar

Learning models of artificial intelligence can nowadays perform very well on a large variety of tasks. However, in practice different task environments are best handled by different learning models, rather than a single, universal,…

Artificial Intelligence · Computer Science 2016-05-31 Adi Makmal , Alexey A. Melnikov , Vedran Dunjko , Hans J. Briegel

Dimensionality reduction is a fundamental task in modern data science. Several projection methods specifically tailored to take into account the non-linearity of the data via local embeddings have been proposed. Such methods are often based…

Machine Learning · Statistics 2026-01-28 Antonio Di Noia , Federico Ravenda , Antonietta Mira

Machine learning methods adapt the parameters of a model, constrained to lie in a given model class, by using a fixed learning procedure based on data or active observations. Adaptation is done on a per-task basis, and retraining is needed…

Machine Learning · Computer Science 2021-10-22 Osvaldo Simeone , Sangwoo Park , Joonhyuk Kang

Many prediction problems can be phrased as inferences over local neighborhoods of graphs. The graph represents the interaction between entities, and the neighborhood of each entity contains information that allows the inferences or…

Machine Learning · Computer Science 2016-11-22 Rakshit Agrawal , Luca de Alfaro , Vassilis Polychronopoulos

Semi-parametric Nearest Neighbor Language Models ($k$NN-LMs) have produced impressive gains over purely parametric LMs, by leveraging large-scale neighborhood retrieval over external memory datastores. However, there has been little…

Computation and Language · Computer Science 2023-06-13 Rishabh Bhardwaj , George Polovets , Monica Sunkara

Semisupervised methods inevitably invoke some assumption that links the marginal distribution of the features to the regression function of the label. Most commonly, the cluster or manifold assumptions are used which imply that the…

Statistics Theory · Mathematics 2011-12-02 Martin Azizyan , Aarti Singh , Larry Wasserman

The global inducing point variational approximation for BNNs is based on using a set of inducing inputs to construct a series of conditional distributions that accurately approximate the conditionals of the true posterior distribution. Our…

Machine Learning · Statistics 2023-10-25 Matthew Ashman , Tommy Rochussen , Adrian Weller

We present a meta-algorithm for learning a posterior-inference algorithm for restricted probabilistic programs. Our meta-algorithm takes a training set of probabilistic programs that describe models with observations, and attempts to learn…

Machine Learning · Computer Science 2021-12-28 Gwonsoo Che , Hongseok Yang

Neural networks have been successfully applied in applications with a large amount of labeled data. However, the task of rapid generalization on new concepts with small training data while preserving performances on previously learned ones…

Machine Learning · Computer Science 2017-06-09 Tsendsuren Munkhdalai , Hong Yu

Recently popularized graph neural networks achieve the state-of-the-art accuracy on a number of standard benchmark datasets for graph-based semi-supervised learning, improving significantly over existing approaches. These architectures…

Machine Learning · Statistics 2018-03-13 Kiran K. Thekumparampil , Chong Wang , Sewoong Oh , Li-Jia Li
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