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Sparse coding consists in representing signals as sparse linear combinations of atoms selected from a dictionary. We consider an extension of this framework where the atoms are further assumed to be embedded in a tree. This is achieved…

机器学习 · 统计学 2011-08-18 Rodolphe Jenatton , Julien Mairal , Guillaume Obozinski , Francis Bach

We propose a specialized string kernel for small bio-molecules, peptides and pseudo-sequences of binding interfaces. The kernel incorporates physico-chemical properties of amino acids and elegantly generalize eight kernels, such as the…

定量方法 · 定量生物学 2014-01-29 Sébastien Giguère , Mario Marchand , François Laviolette , Alexandre Drouin , Jacques Corbeil

Traditionally, kernel methods rely on the representer theorem which states that the solution to a learning problem is obtained as a linear combination of the data mapped into the reproducing kernel Hilbert space (RKHS). While elegant from…

机器学习 · 计算机科学 2021-08-30 Riikka Huusari , Sahely Bhadra , Cécile Capponi , Hachem Kadri , Juho Rousu

Recent advances in deep learning-based medical image registration have shown that training deep neural networks~(DNNs) does not necessarily require medical images. Previous work showed that DNNs trained on randomly generated images with…

计算机视觉与模式识别 · 计算机科学 2025-06-02 Junyu Chen , Shuwen Wei , Yihao Liu , Aaron Carass , Yong Du

Several statistical approaches based on reproducing kernels have been proposed to detect abrupt changes arising in the full distribution of the observations and not only in the mean or variance. Some of these approaches enjoy good…

统计理论 · 数学 2017-10-13 Alain Celisse , Guillemette Marot , Morgane Pierre-Jean , Guillem Rigaill

Kernel methods are a popular class of nonlinear predictive models in machine learning. Scalable algorithms for learning kernel models need to be iterative in nature, but convergence can be slow due to poor conditioning. Spectral…

机器学习 · 统计学 2024-01-26 Amirhesam Abedsoltan , Parthe Pandit , Luis Rademacher , Mikhail Belkin

String covers are a powerful tool for analyzing the quasi-periodicity of 1-dimensional data and find applications in automata theory, computational biology, coding and the analysis of transactional data. A \emph{cover} of a string $T$ is a…

数据结构与算法 · 计算机科学 2019-05-03 Alexandru Popa , Andrei Tanasescu

The theoretical notions of graph classes with bounded expansion and that are nowhere dense are meant to capture structural sparsity of real world networks that can be used to design efficient algorithms. In the area of sparse graphs, the…

数据结构与算法 · 计算机科学 2018-11-20 Wojciech Nadara

Image reconstruction for positron emission tomography (PET) is challenging because of the ill-conditioned tomographic problem and low counting statistics. Kernel methods address this challenge by using kernel representation to incorporate…

图像与视频处理 · 电气工程与系统科学 2022-05-26 Siqi Li , Guobao Wang

A central problem in hyperspectral image classification is obtaining high classification accuracy when using a limited amount of labelled data. In this paper we present a novel graph-based framework, which aims to tackle this problem in the…

计算机视觉与模式识别 · 计算机科学 2020-06-24 Philip Sellars , Angelica Aviles-Rivero , Carola-Bibiane Schönlieb

A primary computational problem in kernel regression is solution of a dense linear system with the $N\times N$ kernel matrix. Because a direct solution has an O($N^3$) cost, iterative Krylov methods are often used with fast matrix-vector…

数值分析 · 计算机科学 2014-08-07 Balaji Vasan Srinivasan , Qi Hu , Nail A. Gumerov , Raghu Murtugudde , Ramani Duraiswami

The Minimum Spanning Tree Problem with Conflicts consists in finding the minimum conflict-free spanning tree of a graph, i.e., the spanning tree of minimum cost, including no pairs of edges that are in conflict. In this paper, we solve this…

最优化与控制 · 数学 2025-06-11 Francesco Carrabs , Martina Cerulli , Domenico Serra

Protein/Peptide microarrays are rapidly gaining momentum in the diagnosis of cancer. High-density and highthroughput peptide arrays are being extensively used to detect tumor biomarkers, examine kinase activity, identify antibodies having…

数据结构与算法 · 计算机科学 2015-03-13 Vamsi Kundeti , Sanguthevar Rajasekaran , Hieu Dinh

A variety of real-world tasks involve the classification of images into pre-determined categories. Designing image classification algorithms that exhibit robustness to acquisition noise and image distortions, particularly when the available…

机器学习 · 统计学 2016-03-10 Umamahesh Srinivas

The domains of data mining and knowledge discovery make use of large amounts of textual data, which need to be handled efficiently. Specific problems, like finding the maximum weight ordered common subset of a set of ordered sets or…

数据结构与算法 · 计算机科学 2009-12-07 Mugurel Ionut Andreica , Nicolae Tapus

Graph Neural Networks (GNNs) have gained traction in the complex domain of drug discovery because of their ability to process graph-structured data such as drug molecule models. This approach has resulted in a myriad of methods and models…

机器学习 · 计算机科学 2025-09-10 Katherine Berry , Liang Cheng

We propose a method for the approximation of high- or even infinite-dimensional feature vectors, which play an important role in supervised learning. The goal is to reduce the size of the training data, resulting in lower storage…

机器学习 · 统计学 2021-04-06 Patrick Gelß , Stefan Klus , Ingmar Schuster , Christof Schütte

Identifying a small molecule from its mass spectrum is the primary open problem in computational metabolomics. This is typically cast as information retrieval: an unknown spectrum is matched against spectra predicted computationally from a…

机器学习 · 计算机科学 2023-01-30 Michael Murphy , Stefanie Jegelka , Ernest Fraenkel , Tobias Kind , David Healey , Thomas Butler

The purpose of this review is to introduce the reader to graph kernels and the corresponding literature, with an emphasis on those with direct application to chemoinformatics. Graph kernels are functions that allow for the inference of…

机器学习 · 统计学 2022-08-29 James Young

We present an end-to-end, interpretable, deep-learning architecture to learn a graph kernel that predicts the outcome of chronic disease drug prescription. This is achieved through a deep metric learning collaborative with a Support Vector…

机器学习 · 计算机科学 2020-08-06 Hao-Ren Yao , Der-Chen Chang , Ophir Frieder , Wendy Huang , I-Chia Liang , Chi-Feng Hung