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Labeling schemes seek to assign a short label to each node in a network, so that a function on two nodes can be computed by examining their labels alone. For the particular case of trees, optimal bounds (up to low order terms) were recently…

Data Structures and Algorithms · Computer Science 2017-05-16 Ofer Freedman , Paweł Gawrychowski , Patrick K. Nicholson , Oren Weimann

The DNA storage channel is considered, in which the $M$ Deoxyribonucleic acid (DNA) molecules comprising each codeword are stored without order, sampled $N$ times with replacement, and then sequenced over a discrete memoryless channel. For…

Information Theory · Computer Science 2022-02-15 Nir Weinberger , Neri Merhav

Although multi-label learning can deal with many problems with label ambiguity, it does not fit some real applications well where the overall distribution of the importance of the labels matters. This paper proposes a novel learning…

Machine Learning · Computer Science 2016-04-06 Xin Geng

Motivation: Data volumes generated by next-generation sequencing technolo- gies is now a major concern, both for storage and transmission. This triggered the need for more efficient methods than general purpose compression tools, such as…

Data Structures and Algorithms · Computer Science 2014-12-19 Gaëtan Benoit , Claire Lemaitre , Dominique Lavenier , Guillaume Rizk

DNA emerges as a promising medium for the exponential growth of digital data due to its density and durability. This study extends recent research by addressing the \emph{coverage depth problem} in practical scenarios, exploring optimal…

Information Theory · Computer Science 2024-02-01 Hadas Abraham , Rayn Gabrys , Eitan Yaakobi

We consider how to assign labels to any undirected graph with n nodes such that, given the labels of two nodes and no other information regarding the graph, it is possible to determine the distance between the two nodes. The challenge in…

Data Structures and Algorithms · Computer Science 2015-04-20 Stephen Alstrup , Cyril Gavoille , Esben Bistrup Halvorsen , Holger Petersen

Images or videos always contain multiple objects or actions. Multi-label recognition has been witnessed to achieve pretty performance attribute to the rapid development of deep learning technologies. Recently, graph convolution network…

Computer Vision and Pattern Recognition · Computer Science 2019-11-22 Ya Wang , Dongliang He , Fu Li , Xiang Long , Zhichao Zhou , Jinwen Ma , Shilei Wen

Due to the redundant nature of DNA synthesis and sequencing technologies, a basic model for a DNA storage system is a multi-draw "shuffling-sampling" channel. In this model, a random number of noisy copies of each sequence is observed at…

Information Theory · Computer Science 2021-12-06 Kel Levick , Reinhard Heckel , Ilan Shomorony

Many modern applications deal with multi-label data, such as functional categorizations of genes, image labeling and text categorization. Classification of such data with a large number of labels and latent dependencies among them is a…

Machine Learning · Computer Science 2018-04-05 Zahra Ahmadi , Stefan Kramer

Pixelwise semantic image labeling is an important, yet challenging, task with many applications. Typical approaches to tackle this problem involve either the training of deep networks on vast amounts of images to directly infer the labels…

Computer Vision and Pattern Recognition · Computer Science 2017-12-12 Yu-Hui Huang , Xu Jia , Stamatios Georgoulis , Tinne Tuytelaars , Luc Van Gool

Deep neural networks have established as a powerful tool for large scale supervised classification tasks. The state-of-the-art performances of deep neural networks are conditioned to the availability of large number of accurately labeled…

Computer Vision and Pattern Recognition · Computer Science 2021-06-22 Bharath Bhushan Damodaran , Rémi Flamary , Viven Seguy , Nicolas Courty

In recent years, deep neural network is widely used in machine learning. The multi-class classification problem is a class of important problem in machine learning. However, in order to solve those types of multi-class classification…

Machine Learning · Computer Science 2018-06-08 Qizhi Zhang , Kuang-Chih Lee , Hongying Bao , Yuan You , Wenjie Li , Dongbai Guo

An {\em ancestry labeling scheme} labels the nodes of any tree in such a way that ancestry queries between any two nodes in a tree can be answered just by looking at their corresponding labels. The common measure to evaluate the quality of…

Data Structures and Algorithms · Computer Science 2009-02-19 Pierre Fraigniaud , Amos Korman

The bandwidth of a graph is the labeling of vertices with minimum maximum edge difference. For many graph families this is NP-complete. A classic result computes the bandwidth for the hypercube. We generalize this result to give sharp lower…

Discrete Mathematics · Computer Science 2007-05-23 Tanya Y. Berger-Wolf , Mitchell A. Harris

In many machine learning applications, labeled data is scarce and obtaining more labels is expensive. We introduce a new approach to supervising neural networks by specifying constraints that should hold over the output space, rather than…

Artificial Intelligence · Computer Science 2016-09-20 Russell Stewart , Stefano Ermon

Cell detection is an essential task in cell image analysis. Recent deep learning-based detection methods have achieved very promising results. In general, these methods require exhaustively annotating the cells in an entire image. If some…

Computer Vision and Pattern Recognition · Computer Science 2021-07-22 Kazuma Fujii , Daiki Suehiro , Kazuya Nishimura , Ryoma Bise

A problem studied in Systems Biology is how to find shortest paths in metabolic networks. Unfortunately, simple (i.e., graph theoretic) shortest paths do not properly reflect biochemical facts. An approach to overcome this issue is to use…

Data Structures and Algorithms · Computer Science 2010-12-23 Sandor Fekete , Tom Kamphans , Michael Stelzer

Semi-supervised anomaly detection, which aims to improve the anomaly detection performance by using a small amount of labeled anomaly data in addition to unlabeled data, has attracted attention. Existing semi-supervised approaches assume…

Machine Learning · Statistics 2025-02-11 Hiroshi Takahashi , Tomoharu Iwata , Atsutoshi Kumagai , Yuuki Yamanaka

Segmentation is a fundamental process in microscopic cell image analysis. With the advent of recent advances in deep learning, more accurate and high-throughput cell segmentation has become feasible. However, most existing deep…

Computer Vision and Pattern Recognition · Computer Science 2020-06-25 Hyeonsoo Lee , Won-Ki Jeong

Classifying logo images is a challenging task as they contain elements such as text or shapes that can represent anything from known objects to abstract shapes. While the current state of the art for logo classification addresses the…

Computer Vision and Pattern Recognition · Computer Science 2024-09-27 Marisa Bernabeu , Antonio Javier Gallego , Antonio Pertusa