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The usage of convolutional neural networks (CNNs) for unsupervised image segmentation was investigated in this study. In the proposed approach, label prediction and network parameter learning are alternately iterated to meet the following…

计算机视觉与模式识别 · 计算机科学 2020-08-26 Wonjik Kim , Asako Kanezaki , Masayuki Tanaka

In many statistical learning problems, it is desired that the optimal solution conforms to an a priori known sparsity structure represented by a directed acyclic graph. Inducing such structures by means of convex regularizers requires…

最优化与控制 · 数学 2020-10-20 Dewei Zhang , Yin Liu , Sam Davanloo Tajbakhsh

Extracting the underlying trend signal is a crucial step to facilitate time series analysis like forecasting and anomaly detection. Besides noise signal, time series can contain not only outliers but also abrupt trend changes in real-world…

机器学习 · 计算机科学 2019-06-28 Qingsong Wen , Jingkun Gao , Xiaomin Song , Liang Sun , Jian Tan

Convex relaxations of nonconvex multilabel problems have been demonstrated to produce superior (provably optimal or near-optimal) solutions to a variety of classical computer vision problems. Yet, they are of limited practical use as they…

计算机视觉与模式识别 · 计算机科学 2016-10-11 Emanuel Laude , Thomas Möllenhoff , Michael Moeller , Jan Lellmann , Daniel Cremers

Multi-label learning has attracted the attention of the machine learning community. The problem conversion method Binary Relevance converts a familiar single label into a multi-label algorithm. The binary relevance method is widely used…

机器学习 · 计算机科学 2020-04-14 Yanghong Liu , Jia Lu , Tingting Li

Within the statistical and machine learning literature, regularization techniques are often used to construct sparse (predictive) models. Most regularization strategies only work for data where all predictors are treated identically, such…

统计计算 · 统计学 2020-12-16 Sander Devriendt , Katrien Antonio , Tom Reynkens , Roel Verbelen

We propose a variational regularization approach based on a multiscale representation called cylindrical shearlets aimed at dynamic imaging problems, especially dynamic tomography. The intuitive idea of our approach is to integrate a…

数值分析 · 数学 2025-08-05 Tatiana A. Bubba , Tommi Heikkilä , Demetrio Labate , Luca Ratti

How to improve discriminative feature learning is central in classification. Existing works address this problem by explicitly increasing inter-class separability and intra-class similarity, whether by constructing positive and negative…

机器学习 · 计算机科学 2024-08-21 Qingsong Zhao , Yi Wang , Shuguang Dou , Chen Gong , Yin Wang , Cairong Zhao

In this paper, we propose a multilevel stochastic framework for the solution of nonconvex unconstrained optimization problems. The proposed approach uses random regularized first-order models that exploit an available hierarchical…

最优化与控制 · 数学 2025-11-27 Filippo Marini , Margherita Porcelli , Elisa Riccietti

Biclustering is widely used in different kinds of fields including gene information analysis, text mining, and recommendation system by effectively discovering the local correlation between samples and features. However, many biclustering…

统计方法学 · 统计学 2023-10-10 Yifan Chen , Chunyin Lei , Chuanquan Li , Haiqiang Ma , Ningyuan Hu

In this work, we investigate an efficient numerical approach for solving higher order statistical methods for blind and semi-blind signal recovery from non-ideal channels. We develop numerical algorithms based on convex optimization…

信息论 · 计算机科学 2016-11-17 Huy-Dung Han , Zhi Ding , Muhammad Zia

We present a primal-dual algorithmic framework to obtain approximate solutions to a prototypical constrained convex optimization problem, and rigorously characterize how common structural assumptions affect the numerical efficiency. Our…

最优化与控制 · 数学 2015-03-04 Quoc Tran-Dinh , Volkan Cevher

Based on an idea in [4] we propose a new iterative multiplicative filtering algorithm for label assignment matrices which can be used for the supervised partitioning of data. Starting with a row-normalized matrix containing the averaged…

数值分析 · 数学 2018-12-10 Ronny Bergmann , Jan Henrik Fitschen , Johannes Persch , Gabriele Steidl

Multilabel image categorization has drawn interest recently because of its numerous computer vision applications. The proposed work introduces a novel method for classifying multilabel images using the COCO-2014 dataset and a modified…

计算机视觉与模式识别 · 计算机科学 2025-11-18 Lokender Singh , Saksham Kumar , Chandan Kumar

This paper demonstrates a practical method for computing the solution of an expectation-constrained robust maximization problem with immediate applications to model-free no-arbitrage bounds and super-replication values for many financial…

数理金融 · 定量金融 2016-10-06 Christopher W. Miller

Constrained bilevel optimization tackles nested structures present in constrained learning tasks like constrained meta-learning, adversarial learning, and distributed bilevel optimization. However, existing bilevel optimization methods…

最优化与控制 · 数学 2024-06-05 Wei Yao , Haian Yin , Shangzhi Zeng , Jin Zhang

In this paper, we address the problem of multi-label classification. We consider linear classifiers and propose to learn a prior over the space of labels to directly leverage the performance of such methods. This prior takes the form of a…

机器学习 · 计算机科学 2015-06-08 Rémi Lajugie , Piotr Bojanowski , Sylvain Arlot , Francis Bach

Binary optimization is a central problem in mathematical optimization and its applications are abundant. To solve this problem, we propose a new class of continuous optimization techniques which is based on Mathematical Programming with…

最优化与控制 · 数学 2017-12-07 Ganzhao Yuan , Bernard Ghanem

We propose a non-convex training objective for robust binary classification of data sets in which label noise is present. The design is guided by the intention of solving the resulting problem by adiabatic quantum optimization. Two…

量子物理 · 物理学 2012-05-31 Vasil S. Denchev , Nan Ding , S. V. N. Vishwanathan , Hartmut Neven

This paper investigates tradeoffs among optimization errors, statistical rates of convergence and the effect of heavy-tailed errors for high-dimensional robust regression with nonconvex regularization. When the additive errors in linear…

统计理论 · 数学 2021-01-01 Xiaoou Pan , Qiang Sun , Wen-Xin Zhou