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A novel search method for large polarization kernels is proposed. The algorithm produces a kernel with given partial distances by employing the depth-first search combined with the computation of coset leaders weight tables and sufficient…

Information Theory · Computer Science 2023-10-13 Grigorii Trofimiuk

Recent breakthroughs and successful deployment of large language and vision models in a constrained environment predominantly follow a two phase approach. First, large models are trained to achieve peak performance, followed by a model…

Machine Learning · Computer Science 2024-11-22 Hanna Mazzawi , Pranjal Awasthi , Xavi Gonzalvo , Srikumar Ramalingam

The paper studies machine learning problems where each example is described using a set of Boolean features and where hypotheses are represented by linear threshold elements. One method of increasing the expressiveness of learned hypotheses…

Machine Learning · Computer Science 2011-09-13 R. Khardon , D. Roth , R. A. Servedio

Learning the kernel parameters for Gaussian processes is often the computational bottleneck in applications such as online learning, Bayesian optimization, or active learning. Amortizing parameter inference over different datasets is a…

Machine Learning · Computer Science 2023-06-19 Matthias Bitzer , Mona Meister , Christoph Zimmer

Structural kernels are a flexible learning paradigm that has been widely used in Natural Language Processing. However, the problem of model selection in kernel-based methods is usually overlooked. Previous approaches mostly rely on setting…

Computation and Language · Computer Science 2015-08-11 Daniel Beck , Trevor Cohn , Christian Hardmeier , Lucia Specia

Many deep neural networks are built by using stacked convolutional layers of fixed and single size (often 3$\times$3) kernels. This paper describes a method for training the size of convolutional kernels to provide varying size kernels in a…

Computer Vision and Pattern Recognition · Computer Science 2020-09-15 F. Boray Tek , İlker Çam , Deniz Karlı

Kernel spectral clustering corresponds to a weighted kernel principal component analysis problem in a constrained optimization framework. The primal formulation leads to an eigen-decomposition of a centered Laplacian matrix at the dual…

Social and Information Networks · Computer Science 2014-12-03 Raghvendra Mall , Rocco Langone , Johan A. K. Suykens

We study non-linear data-dimension reduction. We are motivated by the classical linear framework of Principal Component Analysis. In nonlinear case, we introduce instead a new kernel-Principal Component Analysis, manifold and feature space…

Functional Analysis · Mathematics 2022-09-09 Palle E. T. Jorgensen , Sooran Kang , Myung-Sin Song , Feng Tian

This chapter deals with kernel methods as a special class of techniques for surrogate modeling. Kernel methods have proven to be efficient in machine learning, pattern recognition and signal analysis due to their flexibility, excellent…

Numerical Analysis · Mathematics 2022-10-31 Gabriele Santin , Bernard Haasdonk

The kernel exponential family is a rich class of distributions, which can be fit efficiently and with statistical guarantees by score matching. Being required to choose a priori a simple kernel such as the Gaussian, however, limits its…

Machine Learning · Statistics 2021-01-15 Li Wenliang , Danica J. Sutherland , Heiko Strathmann , Arthur Gretton

Nowadays, hyperspectral image classification widely copes with spatial information to improve accuracy. One of the most popular way to integrate such information is to extract hierarchical features from a multiscale segmentation. In the…

Computer Vision and Pattern Recognition · Computer Science 2016-06-17 Yanwei Cui , Laetitia Chapel , Sébastien Lefèvre

Measuring similarity between two objects is the core operation in existing clustering algorithms in grouping similar objects into clusters. This paper introduces a new similarity measure called point-set kernel which computes the similarity…

Machine Learning · Computer Science 2022-01-07 Kai Ming Ting , Jonathan R. Wells , Ye Zhu

Representing, comparing, and measuring the distance between probability distributions is a key task in computational statistics and machine learning. The choice of representation and the associated distance determine properties of the…

Machine Learning · Statistics 2026-02-26 Masha Naslidnyk

The kernel method is a potential approach to analyzing structured data such as sequences, trees, and graphs; however, unordered trees have not been investigated extensively. Kimura et al. (2011) proposed a kernel function for unordered…

Data Structures and Algorithms · Computer Science 2012-06-22 Daisuke Kimura , Hisashi Kashima

We consider the problem of learning a nonlinear function over a network of learners in a fully decentralized fashion. Online learning is additionally assumed, where every learner receives continuous streaming data locally. This learning…

Machine Learning · Computer Science 2021-03-01 Jeongmin Chae , Songnam Hong

Machine learning and deep learning have been used extensively to classify physical surfaces through images and time-series contact data. However, these methods rely on human expertise and entail the time-consuming processes of data and…

Machine Learning · Computer Science 2023-08-10 Behnam Khojasteh , Friedrich Solowjow , Sebastian Trimpe , Katherine J. Kuchenbecker

Domain specific (dis-)similarity or proximity measures used e.g. in alignment algorithms of sequence data, are popular to analyze complex data objects and to cover domain specific data properties. Without an underlying vector space these…

Data Structures and Algorithms · Computer Science 2014-11-07 Andrej Gisbrecht , Frank-Michael Schleif

Metric learning for classification has been intensively studied over the last decade. The idea is to learn a metric space induced from a normed vector space on which data from different classes are well separated. Different measures of the…

Machine Learning · Computer Science 2019-10-22 Yinan Yu , Tomas McKelvey

Multiple kernel learning algorithms are proposed to combine kernels in order to obtain a better similarity measure or to integrate feature representations coming from different data sources. Most of the previous research on such methods is…

Machine Learning · Computer Science 2012-07-03 Mehmet Gonen

To achieve acceptable performance for AI tasks, one can either use sophisticated feature extraction methods as the first layer in a two-layered supervised learning model, or learn the features directly using a deep (multi-layered) model.…

Machine Learning · Computer Science 2014-02-25 Gaurav Pandey , Ambedkar Dukkipati
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