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In this paper, we investigate the problem of optimization multivariate performance measures, and propose a novel algorithm for it. Different from traditional machine learning methods which optimize simple loss functions to learn prediction…

机器学习 · 计算机科学 2015-08-03 Jiachen Yanga , Zhiyong Dinga , Fei Guoa , Huogen Wanga , Nick Hughesb

In this thesis we discuss machine learning methods performing automated variable selection for learning sparse predictive models. There are multiple reasons for promoting sparsity in the predictive models. By relying on a limited set of…

机器学习 · 计算机科学 2019-03-27 Magda Gregorova

Accurate prediction of user consumption is a key part not only in understanding consumer flexibility and behavior patterns, but in the design of robust and efficient energy saving programs as well. Existing prediction methods usually have…

机器学习 · 统计学 2017-02-22 Pan Li , Baosen Zhang , Yang Weng , Ram Rajagopal

Parsimony, including sparsity and low rank, has been shown to successfully model data in numerous machine learning and signal processing tasks. Traditionally, such modeling approaches rely on an iterative algorithm that minimizes an…

机器学习 · 计算机科学 2012-12-18 Pablo Sprechmann , Alex M. Bronstein , Guillermo Sapiro

In this chapter, we discuss recent work on learning sparse approximations to high-dimensional functions on data, where the target functions may be scalar-, vector- or even Hilbert space-valued. Our main objective is to study how the…

数值分析 · 数学 2022-02-08 Ben Adcock , Juan M. Cardenas , Nick Dexter , Sebastian Moraga

Feature selection with specific multivariate performance measures is the key to the success of many applications, such as image retrieval and text classification. The existing feature selection methods are usually designed for…

机器学习 · 计算机科学 2015-03-19 Qi Mao , Ivor W. Tsang

We propose a new approach for metric learning by framing it as learning a sparse combination of locally discriminative metrics that are inexpensive to generate from the training data. This flexible framework allows us to naturally derive…

机器学习 · 计算机科学 2019-01-25 Yuan Shi , Aurélien Bellet , Fei Sha

We consider the problem of learning a loss function which, when minimized over a training dataset, yields a model that approximately minimizes a validation error metric. Though learning an optimal loss function is NP-hard, we present an…

机器学习 · 计算机科学 2019-07-02 Matthew Streeter

The sparse modeling is an evident manifestation capturing the parsimony principle just described, and sparse models are widespread in statistics, physics, information sciences, neuroscience, computational mathematics, and so on. In…

机器学习 · 计算机科学 2023-08-29 Jianyi Lin

In the literature on deep neural networks, there is considerable interest in developing activation functions that can enhance neural network performance. In recent years, there has been renewed scientific interest in proposing activation…

机器学习 · 计算机科学 2023-04-20 Mohamed Fakhfakh , Lotfi Chaari

In this paper, we consider the optimization problem of minimizing a continuously differentiable function subject to both convex constraints and sparsity constraints. By exploiting a mixed-integer reformulation from the literature, we define…

最优化与控制 · 数学 2021-04-28 M. Lapucci , T. Levato , F. Rinaldi , M. Sciandrone

In this paper we study the problem of content-based image retrieval. In this problem, the most popular performance measure is the top precision measure, and the most important component of a retrieval system is the similarity function used…

计算机视觉与模式识别 · 计算机科学 2016-08-23 Ru-Ze Liang , Lihui Shi , Haoxiang Wang , Jiandong Meng , Jim Jing-Yan Wang , Qingquan Sun , Yi Gu

The convergence of expectation-maximization (EM)-based algorithms typically requires continuity of the likelihood function with respect to all the unknown parameters (optimization variables). The requirement is not met when parameters…

信号处理 · 电气工程与系统科学 2024-04-18 Geethu Joseph

It is now well understood that (1) it is possible to reconstruct sparse signals exactly from what appear to be highly incomplete sets of linear measurements and (2) that this can be done by constrained L1 minimization. In this paper, we…

统计方法学 · 统计学 2007-11-13 Emmanuel J. Candes , Michael B. Wakin , Stephen P. Boyd

Linear prediction (LP) is an ubiquitous analysis method in speech processing. Various studies have focused on sparse LP algorithms by introducing sparsity constraints into the LP framework. Sparse LP has been shown to be effective in…

音频与语音处理 · 电气工程与系统科学 2020-06-09 Thomas Drugman

Sparse principal component analysis addresses the problem of finding a linear combination of the variables in a given data set with a sparse coefficients vector that maximizes the variability of the data. This model enhances the ability to…

最优化与控制 · 数学 2017-03-09 Amir Beck , Yakov Vaisbourd

We present the framework of slowly varying regression under sparsity, allowing sparse regression models to exhibit slow and sparse variations. The problem of parameter estimation is formulated as a mixed-integer optimization problem. We…

机器学习 · 计算机科学 2023-11-14 Dimitris Bertsimas , Vassilis Digalakis , Michael Linghzi Li , Omar Skali Lami

This paper treats the problem of minimizing a general continuously differentiable function subject to sparsity constraints. We present and analyze several different optimality criteria which are based on the notions of stationarity and…

信息论 · 计算机科学 2012-03-22 Amir Beck , Yonina C. Eldar

Although sparse training has been successfully used in various resource-limited deep learning tasks to save memory, accelerate training, and reduce inference time, the reliability of the produced sparse models remains unexplored. Previous…

机器学习 · 计算机科学 2023-03-02 Bowen Lei , Ruqi Zhang , Dongkuan Xu , Bani Mallick

This article proposes diffusion LMS strategies for distributed estimation over adaptive networks that are able to exploit sparsity in the underlying system model. The approach relies on convex regularization, common in compressive sensing,…

机器学习 · 计算机科学 2015-06-05 Paolo Di Lorenzo , Ali H. Sayed
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