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The age of big data has produced data sets that are computationally expensive to analyze and store. Algorithmic leveraging proposes that we sample observations from the original data set to generate a representative data set and then…

Applications · Statistics 2018-03-13 Katelyn Gao

Many problems in real-world applications involve predicting several random variables which are statistically related. Markov random fields (MRFs) are a great mathematical tool to encode such relationships. The goal of this paper is to…

Machine Learning · Computer Science 2015-04-29 Liang-Chieh Chen , Alexander G. Schwing , Alan L. Yuille , Raquel Urtasun

Deep learning algorithms demonstrate a surprising ability to learn high-dimensional tasks from limited examples. This is commonly attributed to the depth of neural networks, enabling them to build a hierarchy of abstract, low-dimensional…

Machine Learning · Computer Science 2024-07-04 Francesco Cagnetta , Leonardo Petrini , Umberto M. Tomasini , Alessandro Favero , Matthieu Wyart

Classical models for supervised machine learning, such as decision trees, are efficient and interpretable predictors, but their quality is highly dependent on the particular choice of input features. Although neural networks can learn…

Machine Learning · Computer Science 2025-10-17 Gabriel Poesia , Georgia Gabriela Sampaio

Dictionary learning is the task of determining a data-dependent transform that yields a sparse representation of some observed data. The dictionary learning problem is non-convex, and usually solved via computationally complex iterative…

Machine Learning · Computer Science 2016-11-30 Cristian Rusu , Nuria Gonzalez-Prelcic , Robert Heath

Deep reinforcement learning (RL) agents commonly rely on high-dimensional neural representations, despite growing evidence that task-relevant value and policy structure may be intrinsically low-dimensional. In this work, we present a simple…

Machine Learning · Computer Science 2026-05-26 Aleksandar Todorov , Matthia Sabatelli

Structuring latent representations in a hierarchical manner enables models to learn patterns at multiple levels of abstraction. However, most prevalent image understanding models focus on visual similarity, and learning visual hierarchies…

Computer Vision and Pattern Recognition · Computer Science 2026-01-07 Ziwei Wang , Sameera Ramasinghe , Chenchen Xu , Julien Monteil , Loris Bazzani , Thalaiyasingam Ajanthan

In this paper, we study representation learning for multi-task decision-making in non-stationary environments. We consider the framework of sequential linear bandits, where the agent performs a series of tasks drawn from distinct sets…

Machine Learning · Computer Science 2022-04-19 Yuzhen Qin , Tommaso Menara , Samet Oymak , ShiNung Ching , Fabio Pasqualetti

Learning sensorimotor control policies from high-dimensional images crucially relies on the quality of the underlying visual representations. Prior works show that structured latent space such as visual keypoints often outperforms…

Machine Learning · Computer Science 2021-06-15 Boyuan Chen , Pieter Abbeel , Deepak Pathak

This paper studies simultaneous feature selection and extraction in supervised and unsupervised learning. We propose and investigate selective reduced rank regression for constructing optimal explanatory factors from a parsimonious subset…

Methodology · Statistics 2016-10-27 Yiyuan She

Neural networks transform high-dimensional data into compact, structured representations, often modeled as elements of a lower dimensional latent space. In this paper, we present an alternative interpretation of neural models as dynamical…

Machine Learning · Computer Science 2026-03-26 Marco Fumero , Luca Moschella , Emanuele Rodolà , Francesco Locatello

Transfer learning using deep neural networks as feature extractors has become increasingly popular over the past few years. It allows to obtain state-of-the-art accuracy on datasets too small to train a deep neural network on its own, and…

Machine Learning · Computer Science 2017-10-25 Vincent Gripon , Ghouthi B. Hacene , Matthias Löwe , Franck Vermet

We propose a method for learning embeddings for few-shot learning that is suitable for use with any number of ways and any number of shots (shot-free). Rather than fixing the class prototypes to be the Euclidean average of sample…

Machine Learning · Computer Science 2020-04-23 Avinash Ravichandran , Rahul Bhotika , Stefano Soatto

A visual system has to learn both which features to extract from images and how to group locations into (proto-)objects. Those two aspects are usually dealt with separately, although predictability is discussed as a cue for both. To…

Computer Vision and Pattern Recognition · Computer Science 2022-05-31 Heiko H. Schütt , Wei Ji Ma

Embeddings provide low-dimensional representations that organize complex function spaces and support generalization. They provide a geometric representation that supports efficient retrieval, comparison, and generalization. In this work we…

Analysis of PDEs · Mathematics 2026-03-10 Pedro Tarancón-Álvarez , Leonid Sarieddine , Pavlos Protopapas , Raul Jimenez

We adapt previous research on category theory and topological unsupervised learning to develop a functorial perspective on manifold learning, also known as nonlinear dimensionality reduction. We first characterize manifold learning…

Machine Learning · Computer Science 2022-11-04 Dan Shiebler

A feature learning task involves training models that are capable of inferring good representations (transformations of the original space) from input data alone. When working with limited or unlabelled data, and also when multiple visual…

Computer Vision and Pattern Recognition · Computer Science 2018-11-02 Gabriel B. Cavallari , Leonardo Sampaio Ferraz Ribeiro , Moacir Antonelli Ponti

A fundamental cognitive process is the ability to map value and identity onto objects as we learn about them. Exactly how such mental constructs emerge and what kind of space best embeds this mapping remains incompletely understood. Here we…

Neurons and Cognition · Quantitative Biology 2019-05-31 Evelyn Tang , Marcelo G. Mattar , Chad Giusti , Sharon L. Thompson-Schill , Danielle S. Bassett

Recent work in learning ontologies (hierarchical and partially-ordered structures) has leveraged the intrinsic geometry of spaces of learned representations to make predictions that automatically obey complex structural constraints. We…

Computation and Language · Computer Science 2017-08-03 Xiang Li , Luke Vilnis , Andrew McCallum

Jointly extracting entity pairs and their relations is challenging when working on distantly-supervised data with ambiguous or noisy labels. To mitigate such impact, we propose uncertainty-aware bootstrap learning, which is motivated by the…

Computation and Language · Computer Science 2023-06-12 Yufei Li , Xiao Yu , Yanchi Liu , Haifeng Chen , Cong Liu