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Empirical data can often be considered as samples from a set of probability distributions. Kernel methods have emerged as a natural approach for learning to classify these distributions. Although numerous kernels between distributions have…

Machine Learning · Computer Science 2024-12-02 Oleksii Kachaiev , Stefano Recanatesi

Gaussian Processes (GPs) are known to provide accurate predictions and uncertainty estimates even with small amounts of labeled data by capturing similarity between data points through their kernel function. However traditional GP kernels…

Machine Learning · Computer Science 2021-11-16 Ankur Mallick , Chaitanya Dwivedi , Bhavya Kailkhura , Gauri Joshi , T. Yong-Jin Han

Causal learning is a beneficial approach to analyze the cause and effect relationships among variables in a dataset. A causal graph can be generated from a dataset using a particular causal algorithm, for instance, the PC algorithm or Fast…

Machine Learning · Computer Science 2019-10-09 Teny Handhayani , James Cussens

This paper introduces a novel graph signal processing framework for building graph-based models from classes of filtered signals. In our framework, graph-based modeling is formulated as a graph system identification problem, where the goal…

Machine Learning · Computer Science 2018-03-08 Hilmi E. Egilmez , Eduardo Pavez , Antonio Ortega

Sentence-level relation extraction mainly aims to classify the relation between two entities in a sentence. The sentence-level relation extraction corpus often contains data that are difficult for the model to infer or noise data. In this…

Computation and Language · Computer Science 2021-08-05 Seongsik Park , Harksoo Kim

Dealing with massive data is a challenging task for machine learning. An important aspect of machine learning is function approximation. In the context of massive data, some of the commonly used tools for this purpose are sparsity,…

Machine Learning · Computer Science 2020-07-08 Hrushikesh N Mhaskar

Deep learning is a topic of considerable current interest. The availability of massive data collections and powerful software resources has led to an impressive amount of results in many application areas that reveal essential but hidden…

Machine Learning · Computer Science 2023-01-31 Gianluigi Pillonetto , Aleksandr Aravkin , Daniel Gedon , Lennart Ljung , Antônio H. Ribeiro , Thomas B. Schön

Kernel methods provide a theoretically grounded framework for non-linear and non-parametric learning, with strong analytic foundations and statistical guarantees. Yet, their scalability has long been limited by prohibitive time and memory…

Machine Learning · Computer Science 2025-10-01 Maedeh Zarvandi , Michael Timothy , Theresa Wasserer , Debarghya Ghoshdastidar

In this paper, we study the problem of sparse multiple kernel learning (MKL), where the goal is to efficiently learn a combination of a fixed small number of kernels from a large pool that could lead to a kernel classifier with a small…

Machine Learning · Computer Science 2013-02-05 Rong Jin , Tianbao Yang , Mehrdad Mahdavi

Many algorithms for ranked data become computationally intractable as the number of objects grows due to the complex geometric structure induced by rankings. An additional challenge is posed by partial rankings, i.e. rankings in which the…

Machine Learning · Computer Science 2022-07-19 Michelangelo Conserva , Marc Peter Deisenroth , K S Sesh Kumar

Neural networks for image classification tasks assume that any given image during inference belongs to one of the training classes. This closed-set assumption is challenged in real-world applications where models may encounter inputs of…

Computer Vision and Pattern Recognition · Computer Science 2022-06-17 Jinsol Lee , Ghassan AlRegib

The use of patterns in predictive models is a topic that has received a lot of attention in recent years. Pattern mining can help to obtain models for structured domains, such as graphs and sequences, and has been proposed as a means to…

Artificial Intelligence · Computer Science 2011-11-29 Björn Bringmann , Siegfried Nijssen , Albrecht Zimmermann

Analogical reasoning depends fundamentally on the ability to learn and generalize about relations between objects. We develop an approach to relational learning which, given a set of pairs of objects…

Methodology · Statistics 2013-08-30 Ricardo Silva , Katherine Heller , Zoubin Ghahramani , Edoardo M. Airoldi

Representation learning is a fundamental building block for analyzing entities in a database. While the existing embedding learning methods are effective in various data mining problems, their applicability is often limited because these…

Machine Learning · Computer Science 2020-09-24 Chin-Chia Michael Yeh , Dhruv Gelda , Zhongfang Zhuang , Yan Zheng , Liang Gou , Wei Zhang

Manifold learning is a fundamental problem in machine learning with numerous applications. Most of the existing methods directly learn the low-dimensional embedding of the data in some high-dimensional space, and usually lack the…

Machine Learning · Computer Science 2021-03-16 Yufan Zhou , Changyou Chen , Jinhui Xu

Context plays an important role in visual pattern recognition as it provides complementary clues for different learning tasks including image classification and annotation. In the particular scenario of kernel learning, the general recipe…

Computer Vision and Pattern Recognition · Computer Science 2018-03-26 Mingyuan Jiu , Hichem Sahbi

Transfer learning refers to the process of adapting a model trained on a source task to a target task. While kernel methods are conceptually and computationally simple machine learning models that are competitive on a variety of tasks, it…

Machine Learning · Computer Science 2022-11-02 Adityanarayanan Radhakrishnan , Max Ruiz Luyten , Neha Prasad , Caroline Uhler

Data sites selected from modeling high-dimensional problems often appear scattered in non-paternalistic ways. Except for sporadic clustering at some spots, they become relatively far apart as the dimension of the ambient space grows. These…

Numerical Analysis · Mathematics 2021-09-28 Shao-Bo Lin , Xiangyu Chang , Xingping Sun

Kernel methods play a critical role in many machine learning algorithms. They are useful in manifold learning, classification, clustering and other data analysis tasks. Setting the kernel's scale parameter, also referred to as the kernel's…

Machine Learning · Computer Science 2019-06-06 Ofir Lindenbaum , Moshe Salhov , Arie Yeredor , Amir Averbuch

Graphs have a superior ability to represent relational data, like chemical compounds, proteins, and social networks. Hence, graph-level learning, which takes a set of graphs as input, has been applied to many tasks including comparison,…

Machine Learning · Computer Science 2023-05-26 Zhenyu Yang , Ge Zhang , Jia Wu , Jian Yang , Quan Z. Sheng , Shan Xue , Chuan Zhou , Charu Aggarwal , Hao Peng , Wenbin Hu , Edwin Hancock , Pietro Liò