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We consider the problem of rank loss minimization in the setting of multilabel classification, which is usually tackled by means of convex surrogate losses defined on pairs of labels. Very recently, this approach was put into question by a…

Machine Learning · Computer Science 2012-07-03 Krzysztof Dembczynski , Wojciech Kotlowski , Eyke Huellermeier

The empirical loss, commonly referred to as the average loss, is extensively utilized for training machine learning models. However, in order to address the diverse performance requirements of machine learning models, the use of the…

Optimization and Control · Mathematics 2024-01-04 Rufeng Xiao , Yuze Ge , Rujun Jiang , Yifan Yan

Recently, many improved naive Bayes methods have been developed with enhanced discrimination capabilities. Among them, regularized naive Bayes (RNB) produces excellent performance by balancing the discrimination power and generalization…

Machine Learning · Computer Science 2023-04-19 Shihe Wang , Jianfeng Ren , Ruibin Bai

We consider the problem of semantic image segmentation using deep convolutional neural networks. We propose a novel network architecture called the label refinement network that predicts segmentation labels in a coarse-to-fine fashion at…

Computer Vision and Pattern Recognition · Computer Science 2017-03-03 Md Amirul Islam , Shujon Naha , Mrigank Rochan , Neil Bruce , Yang Wang

Binary relevance is a simple approach to solve multi-label learning problems where an independent binary classifier is built per each label. A common challenge with this in real-world applications is that the label space can be very large,…

Information Retrieval · Computer Science 2019-05-29 Dora Jambor , Peng Yu

The use of convex regularizers allows for easy optimization, though they often produce biased estimation and inferior prediction performance. Recently, nonconvex regularizers have attracted a lot of attention and outperformed convex ones.…

Optimization and Control · Mathematics 2017-02-14 Quanming Yao , James. T Kwok

Regularization techniques are crucial to improving the generalization performance and training efficiency of deep neural networks. Many deep learning algorithms rely on weight decay, dropout, batch/layer normalization to converge faster and…

Machine Learning · Computer Science 2025-05-23 Peng Lu , Ahmad Rashid , Ivan Kobyzev , Mehdi Rezagholizadeh , Philippe Langlais

Fusing and balancing multi-modal inputs from novel sensors for dense prediction tasks, particularly semantic segmentation, is critically important yet remains a significant challenge. One major limitation is the tendency of multi-modal…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Xu Zheng , Yuanhuiyi Lyu , Lutao Jiang , Danda Pani Paudel , Luc Van Gool , Xuming Hu

We present a convex approach to probabilistic segmentation and modeling of time series data. Our approach builds upon recent advances in multivariate total variation regularization, and seeks to learn a separate set of parameters for the…

Machine Learning · Statistics 2015-11-17 Matt Wytock , J. Zico Kolter

Multi-region segmentation algorithms often have the onus of incorporating complex anatomical knowledge representing spatial or geometric relationships between objects, and general-purpose methods of addressing this knowledge in an…

Computer Vision and Pattern Recognition · Computer Science 2014-06-09 John S. H. Baxter , Martin Rajchl , Jing Yuan , Terry M. Peters

We extend a primal-dual fixed point algorithm (PDFP) proposed in [5] to solve two kinds of separable multi-block minimization problems, arising in signal processing and imaging science. This work shows the flexibility of applying PDFP…

Optimization and Control · Mathematics 2016-02-02 Peijun Chen , Jianguo Huang , Xiaoqun Zhang

This paper studies M-estimators with gradient-Lipschitz loss function regularized with convex penalty in linear models with Gaussian design matrix and arbitrary noise distribution. A practical example is the robust M-estimator constructed…

Statistics Theory · Mathematics 2025-01-03 Pierre C Bellec , Yiwei Shen

We consider the problem of minimizing a sum of several convex non-smooth functions. We introduce a new algorithm called the selective linearization method, which iteratively linearizes all but one of the functions and employs simple…

Optimization and Control · Mathematics 2016-08-16 Yu Du , Xiaodong Lin , Andrzej Ruszczynski

We derive a convex optimization problem for the task of segmenting sequential data, which explicitly treats presence of outliers. We describe two algorithms for solving this problem, one exact and one a top-down novel approach, and we…

Machine Learning · Computer Science 2014-11-19 Itamar Katz , Koby Crammer

In this paper, we present a novel deep metric learning method to tackle the multi-label image classification problem. In order to better learn the correlations among images features, as well as labels, we attempt to explore a latent space,…

Computer Vision and Pattern Recognition · Computer Science 2020-07-28 Changsheng Li , Chong Liu , Lixin Duan , Peng Gao , Kai Zheng

Multi-label learning is usually used to mine the correlation between features and labels, and feature selection can retain as much information as possible through a small number of features. $\ell_{2,1}$ regularization method can get sparse…

Machine Learning · Statistics 2023-03-31 Haibao Li , Hongzhi Zhai

Bilevel programs are optimization problems where some variables are solutions to optimization problems themselves, and they arise in a variety of control applications, including: control of vehicle traffic networks, inverse reinforcement…

Optimization and Control · Mathematics 2017-09-27 Aurélien Ouattara , Anil Aswani

Many computer vision systems require low-cost segmentation algorithms based on deep learning, either because of the enormous size of input images or limited computational budget. Common solutions uniformly downsample the input images to…

Computer Vision and Pattern Recognition · Computer Science 2022-08-19 Chen Jin , Ryutaro Tanno , Thomy Mertzanidou , Eleftheria Panagiotaki , Daniel C. Alexander

We propose a new randomized algorithm for solving convex optimization problems that have a large number of constraints (with high probability). Existing methods like interior-point or Newton-type algorithms are hard to apply to such…

Optimization and Control · Mathematics 2020-03-25 Bo Wei , William B. Haskell , Sixiang Zhao

This paper proposes a novel deep architecture to address multi-label image recognition, a fundamental and practical task towards general visual understanding. Current solutions for this task usually rely on an extra step of extracting…

Computer Vision and Pattern Recognition · Computer Science 2017-11-09 Zhouxia Wang , Tianshui Chen , Guanbin Li , Ruijia Xu , Liang Lin