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In this paper, we introduce a new image representation based on a multilayer kernel machine. Unlike traditional kernel methods where data representation is decoupled from the prediction task, we learn how to shape the kernel with…

Machine Learning · Statistics 2016-10-26 Julien Mairal

In latest years, deep learning has gained a leading role in the pansharpening of multiresolution images. Given the lack of ground truth data, most deep learning-based methods carry out supervised training in a reduced-resolution domain.…

Image and Video Processing · Electrical Eng. & Systems 2023-07-28 Matteo Ciotola , Giovanni Poggi , Giuseppe Scarpa

To accelerate kernel methods, we propose a near input sparsity time algorithm for sampling the high-dimensional feature space implicitly defined by a kernel transformation. Our main contribution is an importance sampling method for…

Data Structures and Algorithms · Computer Science 2020-07-15 David P. Woodruff , Amir Zandieh

Topological data analysis is an emerging mathematical concept for characterizing shapes in multi-scale data. In this field, persistence diagrams are widely used as a descriptor of the input data, and can distinguish robust and noisy…

Machine Learning · Statistics 2017-06-13 Genki Kusano , Kenji Fukumizu , Yasuaki Hiraoka

Hyperspectral images capture vast amounts of high-dimensional spectral information about a scene, making labeling an intensive task that is resistant to out-of-the-box statistical methods. Unsupervised learning of clusters allows for…

Computer Vision and Pattern Recognition · Computer Science 2026-03-12 Joshua Lentz , Nicholas Karris , Alex Cloninger , James M. Murphy

This paper presents a model-agnostic ensemble approach for supervised learning. The proposed approach is based on a parametric version of Random Subspace, in which each base model is learned from a feature subset sampled according to a…

Machine Learning · Computer Science 2023-01-23 Vân Anh Huynh-Thu , Pierre Geurts

Homography estimation between multiple aerial images can provide relative pose estimation for collaborative autonomous exploration and monitoring. The usage on a robotic system requires a fast and robust homography estimation algorithm. In…

Computer Vision and Pattern Recognition · Computer Science 2018-02-22 Ty Nguyen , Steven W. Chen , Shreyas S. Shivakumar , Camillo J. Taylor , Vijay Kumar

Non-conservative uncertainty bounds are key for both assessing an estimation algorithm's accuracy and in view of downstream tasks, such as its deployment in safety-critical contexts. In this paper, we derive a tight, non-asymptotic…

Machine Learning · Computer Science 2026-01-16 Amon Lahr , Johannes Köhler , Anna Scampicchio , Melanie N. Zeilinger

We propose a self-supervised representation learning model for the task of unsupervised phoneme boundary detection. The model is a convolutional neural network that operates directly on the raw waveform. It is optimized to identify spectral…

Audio and Speech Processing · Electrical Eng. & Systems 2020-08-07 Felix Kreuk , Joseph Keshet , Yossi Adi

Robust optimization has been established as a leading methodology to approach decision problems under uncertainty. To derive a robust optimization model, a central ingredient is to identify a suitable model for uncertainty, which is called…

Optimization and Control · Mathematics 2021-09-10 Marc Goerigk , Jannis Kurtz

Feature selection plays a pivotal role in learning, particularly in areas were parsimonious features can provide insight into the underlying process, such as biology. Recent approaches for non-linear feature selection employing greedy…

Machine Learning · Computer Science 2013-11-25 Dimitrios Athanasakis , John Shawe-Taylor , Delmiro Fernandez-Reyes

Topology and machine learning are two actively researched topics not only in condensed matter physics, but also in data science. Here, we propose the use of topological data analysis in unsupervised learning of the topological phase…

Mesoscale and Nanoscale Physics · Physics 2022-05-12 Sungjoon Park , Yoonseok Hwang , Bohm-Jung Yang

We estimate on a compact interval densities with isolated irregularities, such as discontinuities or discontinuities in some derivatives. From independent and identically distributed observations we construct a kernel estimator with…

Statistics Theory · Mathematics 2024-07-16 Céline Duval , Émeline Schmisser

Neural networks have dramatically increased our capacity to learn from large, high-dimensional datasets across innumerable disciplines. However, their decisions are not easily interpretable, their computational costs are high, and building…

Computer Vision and Pattern Recognition · Computer Science 2024-07-08 Mackenzie J. Meni , Ryan T. White , Michael Mayo , Kevin Pilkiewicz

We present a new method for multiclass thresholding of a histogram which is based on the nonparametric Kernel Density (KD) estimation, where the unknown parameters of the KD estimate are defined using the Expectation-Maximization (EM)…

Image and Video Processing · Electrical Eng. & Systems 2022-02-11 S. Korneev , J. Gilles , I. Battiato

Kernel density estimation, a.k.a. Parzen windows, is a popular density estimation method, which can be used for outlier detection or clustering. With multivariate data, its performance is heavily reliant on the metric used within the…

Machine Learning · Computer Science 2012-12-11 Nicolas Le Roux , Francis Bach

Learning probabilistic models that can estimate the density of a given set of samples, and generate samples from that density, is one of the fundamental challenges in unsupervised machine learning. We introduce a new generative model based…

Machine Learning · Computer Science 2020-06-11 Siavash A. Bigdeli , Geng Lin , Tiziano Portenier , L. Andrea Dunbar , Matthias Zwicker

This paper develops a nonparametric density estimator with parametric overtones. Suppose $f(x,\theta)$ is some family of densities, indexed by a vector of parameters $\theta$. We define a local kernel smoothed likelihood function which for…

Methodology · Statistics 2026-04-22 Nils Lid Hjort , M. C. Jones

Latent representations are critical for the performance and robustness of machine learning models, as they encode the essential features of data in a compact and informative manner. However, in vision tasks, these representations are often…

Machine Learning · Computer Science 2025-10-03 Bruno Corcuera , Carlos Eiras-Franco , Brais Cancela

Unsupervised neural network learning extracts hidden features from unlabeled training data. This is used as a pretraining step for further supervised learning in deep networks. Hence, understanding unsupervised learning is of fundamental…

Disordered Systems and Neural Networks · Physics 2016-12-23 Haiping Huang , Taro Toyoizumi