paper-with-me

홈 › Papers

MKL-RT: Multiple Kernel Learning for Ratio-trace Problems via Convex Optimization

2014-10-16 · Raviteja Vemulapalli, Vinay Praneeth Boda, Rama Chellappa

In the recent past, automatic selection or combination of kernels (or features) based on multiple kernel learning (MKL) approaches has been receiving significant attention from various research communities. Though MKL has been extensively studied in the context of support vector machines (SVM), it is relatively less explored for ratio-trace problems. In this paper, we show that MKL can be formulated as a convex optimization problem for a general class of ratio-trace problems that encompasses many popular algorithms used in various computer vision applications. We also provide an optimization procedure that is guaranteed to converge to the global optimum of the proposed optimization problem. We experimentally demonstrate that the proposed MKL approach, which we refer to as MKL-RT, can be successfully used to select features for discriminative dimensionality reduction and cross-modal retrieval. We also show that the proposed convex MKL-RT approach performs better than the recently proposed non-convex MKL-DR approach.

📄 PDF Abstract BibTeX arXiv:1410.4470

Code (0)

등록된 구현이 없습니다.

Tasks

Cross-Modal RetrievalDimensionality ReductionRetrieval

Similar Papers 제목 키워드 기반

Sparse Multiple Kernel Learning: Alternating Best Response and Semidefinite Relaxations

2025-11-26 · Dimitris Bertsimas, Caio de Prospero Iglesias, Nicholas A. G. Johnson arxiv

We study Sparse Multiple Kernel Learning (SMKL), which is the problem of selecting a sparse convex combination of prespecified kernels for support vector binary classification. Unlike prevailing l1 regularized approaches…

Binary Classification

Generalized Higher-Order Tensor Decomposition via Parallel ADMM

2014-07-05 · Fanhua Shang, Yuanyuan Liu, James Cheng

Higher-order tensors are becoming prevalent in many scientific areas such as computer vision, social network analysis, data mining and neuroscience. Traditional tensor decomposition approaches face three major challenges…

Computational EfficiencyTensor Decomposition

Two trust region type algorithms for solving nonconvex-strongly concave minimax problems

2024-02-15 · Tongliang Yao, Zi Xu

In this paper, we propose a Minimax Trust Region (MINIMAX-TR) algorithm and a Minimax Trust Region Algorithm with Contractions and Expansions(MINIMAX-TRACE) algorithm for solving nonconvex-strongly concave minimax proble…

Localized Multiple Kernel Learning---A Convex Approach

2015-06-14 · Yunwen Lei, Alexander Binder, Ürün Dogan, Marius Kloft

We propose a localized approach to multiple kernel learning that can be formulated as a convex optimization problem over a given cluster structure. For which we obtain generalization error guarantees and derive an optimi…

Hybrid Conditional Gradient - Smoothing Algorithms with Applications to Sparse and Low Rank Regularization

2014-04-14 · Andreas Argyriou, Marco Signoretto, Johan Suykens

We study a hybrid conditional gradient - smoothing algorithm (HCGS) for solving composite convex optimization problems which contain several terms over a bounded set. Examples of these include regularization problems wit…