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This work proposes a novel method for semi-supervised learning from partially labeled massive network-structured datasets, i.e., big data over networks. We model the underlying hypothesis, which relates data points to labels, as a graph…

Machine Learning · Computer Science 2017-05-16 Alexander Jung , Alfred O. Hero , Alexandru Mara , Saeed Jahromi

In this paper we revisit the idea of pseudo-labeling in the context of semi-supervised learning where a learning algorithm has access to a small set of labeled samples and a large set of unlabeled samples. Pseudo-labeling works by applying…

Machine Learning · Computer Science 2020-12-11 Paola Cascante-Bonilla , Fuwen Tan , Yanjun Qi , Vicente Ordonez

Given a graph, we associate each edge with the transposition which exchanges the endvertices. Fixing a linear order on the edge set, we obtain a permutation of the vertices. D\'enes proved that the permutation is a full cyclic permutation…

Combinatorics · Mathematics 2024-04-04 Shuhei Tsujie , Ryo Uchiumi

A graph $G$ is called well-covered if all maximal independent sets of vertices have the same cardinality. A well-covered graph $G$ is called uniformly well-covered if there is a partition of the set of vertices of $G$ such that each maximal…

Combinatorics · Mathematics 2013-04-12 Rashid Zaare-Nahandi

Semi-supervised learning an attractive technique in practical deployments of deep models since it relaxes the dependence on labeled data. It is especially important in the scope of dense prediction because pixel-level annotation requires…

Computer Vision and Pattern Recognition · Computer Science 2023-01-23 Ivan Grubišić , Marin Oršić , Siniša Šegvić

In this paper, we present an algorithm that enumerates a certain class of signed permutations, referred to as grid signed permutation classes. In the case of permutations, the corresponding grid classes are of interest because they are…

Combinatorics · Mathematics 2023-06-02 Saúl A. Blanco , Daniel E. Skora

A simple and connected $n$-vertex graph has a prime vertex labeling if the vertices can be injectively labeled with the integers $1, 2, 3,\ldots, n$, such that adjacent vertices have relatively prime labels. We will present previously…

Dlab and Ringel showed that algebras being quasi-hereditary in all orders for indices of primitive idempotents becomes hereditary. So, we are interested in for which orders a given quasi-hereditary algebra is again quasi-hereditary. As a…

Representation Theory · Mathematics 2022-12-22 Yuichiro Goto

For a simple graph G = (V, E), a coloring of vertices of G using two colors, say red and blue, is called a quasi neighborhood balanced coloring if, for every vertex of the graph, the number of red neighbors and the number of blue neighbors…

Combinatorics · Mathematics 2026-05-18 Maurice Genevieva Almeida

An odd prime labeling is a variation of a prime labeling in which the vertices of a graph of order~$n$ are labeled with the distinct odd integers $1$ to $2n-1$ so that the labels of adjacent vertices are relatively prime. This paper…

Combinatorics · Mathematics 2022-08-19 Holly Carter , N. Bradley Fox

This paper is a contribution to the theory of finite semigroups and their classification in pseudovarieties, which is motivated by its connections with computer science. The question addressed is what role can play the consideration of an…

Group Theory · Mathematics 2019-07-16 Jorge Almeida , Ondřej Klíma

A prime labeling of a graph of order $n$ is a labeling of the vertices with the integers $1$ to~$n$ in which adjacent vertices have relatively prime labels. A coprime labeling maintains the same criterion on adjacent vertices using any set…

Combinatorics · Mathematics 2017-07-17 John Asplund , N. Bradley Fox

We extend the notion of quasi-transitive orientations of graphs to 2-edge-coloured graphs. By relating quasi-transitive $2$-edge-colourings to an equivalence relation on the edge set of a graph, we classify those graphs that admit a…

Combinatorics · Mathematics 2021-05-19 Christopher Duffy , Todd Mullen

Due to abundance of data from multiple modalities, cross-modal retrieval tasks with image-text, audio-image, etc. are gaining increasing importance. Of the different approaches proposed, supervised methods usually give significant…

Computer Vision and Pattern Recognition · Computer Science 2020-01-03 Devraj Mandal , Pramod Rao , Soma Biswas

The label ranking problem is a supervised learning scenario in which the learner predicts a total order of the class labels for a given input instance. Recently, research has increasingly focused on the partial label ranking problem, a…

Machine Learning · Computer Science 2025-10-24 Jiayi Wang , Juan C. Alfaro , Viktor Bengs

We consider the problem of classifying those graphs that arise as an undirected square of an oriented graph by generalising the notion of quasi-transitive directed graphs to mixed graphs. We fully classify those graphs of maximum degree…

Combinatorics · Mathematics 2023-11-09 Christopher Duffy

Partially ordered sets labeled with k labels (k-posets) and their homomorphisms are examined. We give a representation of directed graphs by k-posets; this provides a new proof of the universality of the homomorphism order of k-posets. This…

Combinatorics · Mathematics 2016-11-22 Leonard Kwuida , Erkko Lehtonen

Classification predicts classes of objects using the knowledge learned during the training phase. This process requires learning from labeled samples. However, the labeled samples usually limited. Annotation process is annoying, tedious,…

Machine Learning · Computer Science 2017-06-06 Shahira Shaaban Azab , Mohamed Farouk Abdel Hady , Hesham Ahmed Hefny

A graph $G$ is said to be well-hued if every maximal $k$-colorable subgraph of $G$ has the same order $a_k$. Therefore, if $G$ is well-hued, we can associate with $G$ a sequence $\{a_k\}$. Necessary and sufficient conditions were given as…

Combinatorics · Mathematics 2025-06-06 Geoffrey Boyer , Kirsti Kuenzel , Jeremy Lyle , Ryan Pellico

Label-efficient time series representation learning, which aims to learn effective representations with limited labeled data, is crucial for deploying deep learning models in real-world applications. To address the scarcity of labeled time…

Machine Learning · Computer Science 2024-07-25 Emadeldeen Eldele , Mohamed Ragab , Zhenghua Chen , Min Wu , Chee-Keong Kwoh , Xiaoli Li