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We study the relationship between online Gaussian process (GP) regression and kernel least mean squares (KLMS) algorithms. While the latter have no capacity of storing the entire posterior distribution during online learning, we discover…

机器学习 · 统计学 2016-09-13 Steven Van Vaerenbergh , Jesus Fernandez-Bes , Víctor Elvira

In this paper, we address the problem of discriminative dictionary learning (DDL), where sparse linear representation and classification are combined in a probabilistic framework. As such, a single discriminative dictionary and linear…

计算机视觉与模式识别 · 计算机科学 2011-09-13 Bernard Ghanem , Narendra Ahuja

In this paper, we discuss the acceleration of the regularized alternating least square (RALS) algorithm for tensor approximation. We propose a fast iterative method using a Aitken-Stefensen like updates for the regularized algorithm.…

数值分析 · 数学 2017-07-25 Xiaofei Wang , Carmeliza Navasca , Stefan Kindermann

Sparse Bayesian learning (SBL) has emerged as a fast and competitive method to perform sparse processing. The SBL algorithm, which is developed using a Bayesian framework, approximately solves a non-convex optimization problem using fixed…

We propose a compressed sampling and dictionary learning framework for fiber-optic sensing using wavelength-tunable lasers. A redundant dictionary is generated from a model for the reflected sensor signal. Imperfect prior knowledge is…

统计方法学 · 统计学 2017-06-13 Christian Weiss , Abdelhak M. Zoubir

While the sparse coding principle can successfully model information processing in sensory neural systems, it remains unclear how learning can be accomplished under neural architectural constraints. Feasible learning rules must rely solely…

机器学习 · 计算机科学 2017-05-23 Tsung-Han Lin

We prove rates of convergence in the statistical sense for kernel-based least squares regression using a conjugate gradient algorithm, where regularization against overfitting is obtained by early stopping. This method is directly related…

统计理论 · 数学 2010-09-30 Gilles Blanchard , Nicole Kraemer

Recent advances suggest that a wide range of computer vision problems can be addressed more appropriately by considering non-Euclidean geometry. This paper tackles the problem of sparse coding and dictionary learning in the space of…

机器学习 · 计算机科学 2013-04-17 Mehrtash T. Harandi , Conrad Sanderson , Richard Hartley , Brian C. Lovell

Existing deep learning-based depth completion methods generally employ massive stacked layers to predict the dense depth map from sparse input data. Although such approaches greatly advance this task, their accompanied huge computational…

计算机视觉与模式识别 · 计算机科学 2023-10-16 Yufei Wang , Bo Li , Ge Zhang , Qi Liu , Tao Gao , Yuchao Dai

We propose an efficient distributed online learning protocol for low-latency real-time services. It extends a previously presented protocol to kernelized online learners that represent their models by a support vector expansion. While such…

机器学习 · 计算机科学 2019-12-02 Michael Kamp , Sebastian Bothe , Mario Boley , Michael Mock

Solving linear regression problems based on the total least-squares (TLS) criterion has well-documented merits in various applications, where perturbations appear both in the data vector as well as in the regression matrix. However,…

信息论 · 计算机科学 2011-04-20 Hao Zhu , Geert Leus , Georgios B. Giannakis

In big data image/video analytics, we encounter the problem of learning an overcomplete dictionary for sparse representation from a large training dataset, which can not be processed at once because of storage and computational constraints.…

机器学习 · 计算机科学 2014-03-20 Subhadip Mukherjee , Chandra Sekhar Seelamantula

Sparse coding and dictionary learning are popular techniques for linear inverse problems such as denoising or inpainting. However in many cases, the measurement process is nonlinear, for example for clipped, quantized or 1-bit measurements.…

信号处理 · 电气工程与系统科学 2020-01-08 Lucas Rencker , Francis Bach , Wenwu Wang , Mark D. Plumbley

This article proposes a sparse computation-based method for optimizing neural networks for reinforcement learning (RL) tasks. This method combines two ideas: neural network pruning and taking into account input data correlations; it makes…

机器学习 · 计算机科学 2022-04-11 Dmitry Ivanov , Mikhail Kiselev , Denis Larionov

In this paper, we propose a novel algorithm for analysis-based sparsity reconstruction. It can solve the generalized problem by structured sparsity regularization with an orthogonal basis and total variation regularization. The proposed…

计算机视觉与模式识别 · 计算机科学 2015-04-29 Chen Chen , Junzhou Huang , Lei He , Hongsheng Li

Tensor methods have emerged as a powerful paradigm for consistent learning of many latent variable models such as topic models, independent component analysis and dictionary learning. Model parameters are estimated via CP decomposition of…

机器学习 · 计算机科学 2015-06-22 Furong Huang , Animashree Anandkumar

Asymmetric kernels naturally exist in real life, e.g., for conditional probability and directed graphs. However, most of the existing kernel-based learning methods require kernels to be symmetric, which prevents the use of asymmetric…

机器学习 · 计算机科学 2022-02-04 Mingzhen He , Fan He , Lei Shi , Xiaolin Huang , Johan A. K. Suykens

In automatic speech recognition (ASR) systems, recurrent neural network language models (RNNLM) are used to rescore a word lattice or N-best hypotheses list. Due to the expensive training, the RNNLM's vocabulary set accommodates only small…

计算与语言 · 计算机科学 2021-07-22 Yerbolat Khassanov , Eng Siong Chng

This study proposes multivariate kernel density estimation by stagewise minimization algorithm based on $U$-divergence and a simple dictionary. The dictionary consists of an appropriate scalar bandwidth matrix and a part of the original…

机器学习 · 统计学 2021-08-11 Kiheiji Nishida , Kanta Naito

We present a novel method for symbolic regression (SR), the task of searching for compact programmatic hypotheses that best explain a dataset. The problem is commonly solved using genetic algorithms; we show that we can enhance such methods…

机器学习 · 计算机科学 2024-12-11 Arya Grayeli , Atharva Sehgal , Omar Costilla-Reyes , Miles Cranmer , Swarat Chaudhuri