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The accuracy and complexity of machine learning algorithms based on kernel optimization are determined by the set of kernels over which they are able to optimize. An ideal set of kernels should: admit a linear parameterization (for…

机器学习 · 统计学 2024-10-30 Aleksandr Talitckii , Brendon K. Colbert , Matthew M. Peet

We theoretically investigate the convergence rate and support consistency (i.e., correctly identifying the subset of non-zero coefficients in the large sample limit) of multiple kernel learning (MKL). We focus on MKL with block-l1…

机器学习 · 统计学 2011-07-29 Taiji Suzuki , Ryota Tomioka , Masashi Sugiyama

In this paper we propose a new non-linear classifier based on a combination of locally linear classifiers. A well known optimization formulation is given as we cast the problem in a $\ell_1$ Multiple Kernel Learning (MKL) problem using many…

机器学习 · 计算机科学 2024-01-19 David Picard

Machine learning (ML) models, such as SVM, for tasks like classification and clustering of sequences, require a definition of distance/similarity between pairs of sequences. Several methods have been proposed to compute the similarity…

This paper presents a Multiple Kernel Learning (abbreviated as MKL) framework for the Support Vector Machine (SVM) with the $(0, 1)$ loss function. Some KKT-like first-order optimality conditions are provided and then exploited to develop a…

机器学习 · 统计学 2023-09-06 Bin Zhu , Yijie Shi

Multi-kernel learning (MKL) has been widely used in function approximation tasks. The key problem of MKL is to combine kernels in a prescribed dictionary. Inclusion of irrelevant kernels in the dictionary can deteriorate accuracy of MKL,…

机器学习 · 计算机科学 2021-02-10 Pouya M Ghari , Yanning Shen

The accuracy and complexity of machine learning algorithms based on kernel optimization are limited by the set of kernels over which they are able to optimize. An ideal set of kernels should: admit a linear parameterization (for…

机器学习 · 计算机科学 2020-06-16 Brendon K. Colbert , Matthew M. Peet

This paper introduces a new and effective algorithm for learning kernels in a Multi-Task Learning (MTL) setting. Although, we consider a MTL scenario here, our approach can be easily applied to standard single task learning, as well. As…

A traditional and intuitively appealing Multi-Task Multiple Kernel Learning (MT-MKL) method is to optimize the sum (thus, the average) of objective functions with (partially) shared kernel function, which allows information sharing amongst…

机器学习 · 计算机科学 2014-04-14 Cong Li , Michael Georgiopoulos , Georgios C. Anagnostopoulos

Recent research on multiple kernel learning has lead to a number of approaches for combining kernels in regularized risk minimization. The proposed approaches include different formulations of objectives and varying regularization…

机器学习 · 统计学 2010-05-05 Marius Kloft , Ulrich Rückert , Peter L. Bartlett

In this paper, we propose a novel multi-task learning (MTL) framework, called Self-Paced Multi-Task Learning (SPMTL). Different from previous works treating all tasks and instances equally when training, SPMTL attempts to jointly learn the…

机器学习 · 计算机科学 2017-04-04 Changsheng Li , Junchi Yan , Fan Wei , Weishan Dong , Qingshan Liu , Hongyuan Zha

Efficient and accurate low-rank approximations of multiple data sources are essential in the era of big data. The scaling of kernel-based learning algorithms to large datasets is limited by the O(n^2) computation and storage complexity of…

机器学习 · 计算机科学 2020-12-10 Martin Stražar , Tomaž Curk

With the advent of kernel methods, automating the task of specifying a suitable kernel has become increasingly important. In this context, the Multiple Kernel Learning (MKL) problem of finding a combination of pre-specified base kernels…

机器学习 · 计算机科学 2012-07-03 Abhishek Kumar , Alexandru Niculescu-Mizil , Koray Kavukcuoglu , Hal Daume

Combining information from various image features has become a standard technique in concept recognition tasks. However, the optimal way of fusing the resulting kernel functions is usually unknown in practical applications. Multiple kernel…

计算机视觉与模式识别 · 计算机科学 2012-11-26 Alexander Binder , Shinichi Nakajima , Marius Kloft , Christina Müller , Wojciech Samek , Ulf Brefeld , Klaus-Robert Müller , Motoaki Kawanabe

Multiple kernel learning (MKL) algorithms combine different base kernels to obtain a more efficient representation in the feature space. Focusing on discriminative tasks, MKL has been used successfully for feature selection and finding the…

机器学习 · 计算机科学 2019-03-14 Babak Hosseini , Barbara Hammer

First-order methods in convex optimization offer low per-iteration cost but often suffer from slow convergence, while second-order methods achieve fast local convergence at the expense of costly Hessian inversions. In this paper, we…

机器学习 · 统计学 2025-07-08 Qiang Heng , Caixing Wang

We present a general regularization-based framework for Multi-task learning (MTL), in which the similarity between tasks can be learned or refined using $\ell_p$-norm Multiple Kernel learning (MKL). Based on this very general formulation…

机器学习 · 统计学 2015-07-01 Christian Widmer , Marius Kloft , Vipin T Sreedharan , Gunnar Rätsch

Object Categorization is a challenging problem, especially when the images have clutter background, occlusions or different lighting conditions. In the past, many descriptors have been proposed which aid object categorization even in such…

计算机视觉与模式识别 · 计算机科学 2016-04-13 Dinesh Govindaraj

We propose a novel adaptive kernel based regression method for complex-valued signals: the generalized complex-valued kernel least-mean-square (gCKLMS). We borrow from the new results on widely linear reproducing kernel Hilbert space…

Kernel approximation is widely used to scale up kernel SVM training and prediction. However, the memory and computation costs of kernel approximation models are still too high if we want to deploy them on memory-limited devices such as…

机器学习 · 计算机科学 2020-10-07 Zijian Lei , Liang Lan