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We study convex relaxations of the image labeling problem on a continuous domain with regularizers based on metric interaction potentials. The generic framework ensures existence of minimizers and covers a wide range of relaxations of the…

Computer Vision and Pattern Recognition · Computer Science 2011-03-02 Jan Lellmann , Christoph Schnörr

Clustering methods with dimension reduction have been receiving considerable wide interest in statistics lately and a lot of methods to simultaneously perform clustering and dimension reduction have been proposed. This work presents a novel…

Methodology · Statistics 2014-06-17 Michio Yamamoto , Kenichi Hayashi

Finding a \emph{single} best solution is the most common objective in combinatorial optimization problems. However, such a single solution may not be applicable to real-world problems as objective functions and constraints are only…

Data Structures and Algorithms · Computer Science 2022-01-25 Tesshu Hanaka , Masashi Kiyomi , Yasuaki Kobayashi , Yusuke Kobayashi , Kazuhiro Kurita , Yota Otachi

We consider the NP-hard problem of MAP-inference for undirected discrete graphical models. We propose a polynomial time and practically efficient algorithm for finding a part of its optimal solution. Specifically, our algorithm marks some…

Computer Vision and Pattern Recognition · Computer Science 2017-02-06 Alexander Shekhovtsov , Paul Swoboda , Bogdan Savchynskyy

Label embedding is a framework for multiclass classification problems where each label is represented by a distinct vector of some fixed dimension, and training involves matching model output to the vector representing the correct label.…

Machine Learning · Computer Science 2025-09-01 Jianxin Zhang , Clayton Scott

As artificial intelligence methods are increasingly applied to complex task scenarios, high dimensional multi-label learning has emerged as a prominent research focus. At present, the curse of dimensionality remains one of the major…

Machine Learning · Computer Science 2025-04-18 Yifan Cao , Zhilong Mi , Ziqiao Yin , Binghui Guo , Jin Dong

This paper concerns the efficient implementation of a method for optimal binary labeling of graph vertices, originally proposed by Malmberg and Ciesielski (2020). This method finds, in quadratic time with respect to graph size, a labeling…

Discrete Mathematics · Computer Science 2023-04-26 Filip Malmberg , Alexandre X. Falcão

Fast and effective unsupervised anomaly detection algorithms have been proposed for categorical data based on the minimum description length (MDL) principle. However, they can be ineffective when detecting anomalies in heterogeneous…

Databases · Computer Science 2020-06-16 James Cheney , Xavier Gombau , Ghita Berrada , Sidahmed Benabderrahmane

In modern multilabel classification problems, each data instance belongs to a small number of classes from a large set of classes. In other words, these problems involve learning very sparse binary label vectors. Moreover, in large-scale…

Machine Learning · Computer Science 2020-11-03 Shashanka Ubaru , Sanjeeb Dash , Arya Mazumdar , Oktay Gunluk

We address the problem of solving mixed random linear equations. We have unlabeled observations coming from multiple linear regressions, and each observation corresponds to exactly one of the regression models. The goal is to learn the…

Machine Learning · Statistics 2020-08-13 Avishek Ghosh , Kannan Ramchandran

In this paper, we study the problem of learning image classification models in the presence of label noise. We revisit a simple compression regularization named Nested Dropout. We find that Nested Dropout, though originally proposed to…

Computer Vision and Pattern Recognition · Computer Science 2021-04-29 Yingyi Chen , Xi Shen , Shell Xu Hu , Johan A. K. Suykens

The problem of efficient modulation classification (MC) in multiple-input multiple-output (MIMO) systems is considered. Per-layer likelihood-based MC is proposed by employing subspace decomposition to partially decouple the transmitted…

Information Theory · Computer Science 2016-10-12 Hadi Sarieddeen , Mohammad M. Mansour , Ali Chehab

Diversity maximization is a fundamental problem with wide applications in data summarization, web search, and recommender systems. Given a set $X$ of $n$ elements, it asks to select a subset $S$ of $k \ll n$ elements with maximum…

Data Structures and Algorithms · Computer Science 2023-04-27 Yanhao Wang , Francesco Fabbri , Michael Mathioudakis

While deep neural networks show great performance on fitting to the training distribution, improving the networks' generalization performance to the test distribution and robustness to the sensitivity to input perturbations still remain as…

Machine Learning · Computer Science 2021-02-08 Jang-Hyun Kim , Wonho Choo , Hosan Jeong , Hyun Oh Song

In "Unlabeled Sensing", one observes a set of linear measurements of an underlying signal with incomplete or missing information about their ordering, which can be modeled in terms of an unknown permutation. Previous work on the case of a…

Information Theory · Computer Science 2020-07-14 Hang Zhang , Martin Slawski , Ping Li

Deep neural network models have demonstrated their effectiveness in classifying multi-label data from various domains. Typically, they employ a training mode that combines mini-batches with optimizers, where each sample is randomly selected…

Machine Learning · Computer Science 2024-03-28 Ao Zhou , Bin Liu , Jin Wang , Grigorios Tsoumakas

Submodular function minimization (SFM) is a fundamental and efficiently solvable problem class in combinatorial optimization with a multitude of applications in various fields. Surprisingly, there is only very little known about constraint…

Data Structures and Algorithms · Computer Science 2018-11-27 Martin Nägele , Benny Sudakov , Rico Zenklusen

In this paper we provide an algorithm which given any $m$-edge $n$-vertex directed graph with integer capacities at most $U$ computes a maximum $s$-$t$ flow for any vertices $s$ and $t$ in $m^{11/8+o(1)}U^{1/4}$ time with high probability.…

Data Structures and Algorithms · Computer Science 2019-11-01 Yang P. Liu , Aaron Sidford

Multi-label learning deals with the classification problems where each instance can be assigned with multiple labels simultaneously. Conventional multi-label learning approaches mainly focus on exploiting label correlations. It is usually…

Machine Learning · Computer Science 2014-07-08 Xiangnan Kong , Zhaoming Wu , Li-Jia Li , Ruofei Zhang , Philip S. Yu , Hang Wu , Wei Fan

A wide variety of problems in machine learning, including exemplar clustering, document summarization, and sensor placement, can be cast as constrained submodular maximization problems. A lot of recent effort has been devoted to developing…

Data Structures and Algorithms · Computer Science 2016-08-15 Rafael da Ponte Barbosa , Alina Ene , Huy L. Nguyen , Justin Ward
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