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In this paper, we provide a Graph Fourier Transform based approach to downsample signals on graphs. For bandlimited signals on a graph, a test is provided to identify whether signal reconstruction is possible from the given downsampled…

Other Statistics · Statistics 2016-12-23 Nileshkumar Vaishnav , Aditya Tatu

The problem of assembling DNA fragments starting from imperfect strings given by a sequencer, classified as NP hard when trying to get perfect answers, has a huge importance in several fields, because of its relation with the possibility of…

Data Structures and Algorithms · Computer Science 2017-05-26 Juan Manuel Ciro Restrepo , Andrés Felipe Zapata Palacio , Mauricio Toro

Graph Neural Networks (GNNs) have emerged as a powerful tool for data-driven learning on various graph domains. They are usually based on a message-passing mechanism and have gained increasing popularity for their intuitive formulation,…

Machine Learning · Computer Science 2023-11-02 Giuseppe Alessio D'Inverno , Simone Brugiapaglia , Mirco Ravanelli

Distant speech recognition is a challenge, particularly due to the corruption of speech signals by reverberation caused by large distances between the speaker and microphone. In order to cope with a wide range of reverberations in…

Computation and Language · Computer Science 2016-08-18 Jeehye Lee , Myungin Lee , Joon-Hyuk Chang

We introduce bonding grammars, a graph grammar formalism developed to model DNA computation by means of graph transformations. It is a modification of fusion grammars introduced by Kreowski, Kuske and Lye in 2017. Bonding is a graph…

Formal Languages and Automata Theory · Computer Science 2024-08-07 Tikhon Pshenitsyn

This paper presents an simple yet sophisticated approach to the challenge by Sproat and Jaitly (2016)- given a large corpus of written text aligned to its normalized spoken form, train an RNN to learn the correct normalization function.…

Computation and Language · Computer Science 2017-12-20 Maryam Zare , Shaurya Rohatgi

Recurrent neural networks (RNNs) are a powerful model for sequential data. End-to-end training methods such as Connectionist Temporal Classification make it possible to train RNNs for sequence labelling problems where the input-output…

Neural and Evolutionary Computing · Computer Science 2013-03-26 Alex Graves , Abdel-rahman Mohamed , Geoffrey Hinton

Various Graph Neural Networks (GNNs) have been successful in analyzing data in non-Euclidean spaces, however, they have limitations such as oversmoothing, i.e., information becomes excessively averaged as the number of hidden layers…

Machine Learning · Computer Science 2024-01-23 Jaeyoon Sim , Sooyeon Jeon , InJun Choi , Guorong Wu , Won Hwa Kim

We present NN-grams, a novel, hybrid language model integrating n-grams and neural networks (NN) for speech recognition. The model takes as input both word histories as well as n-gram counts. Thus, it combines the memorization capacity and…

Computation and Language · Computer Science 2016-06-27 Babak Damavandi , Shankar Kumar , Noam Shazeer , Antoine Bruguier

Graph Neural Networks (GNNs) have achieved much success on graph-structured data. In light of this, there have been increasing interests in studying their expressive power. One line of work studies the capability of GNNs to approximate…

Machine Learning · Computer Science 2023-02-14 Zhengdao Chen , Soledad Villar , Lei Chen , Joan Bruna

Graph Neural Networks (GNNs) are a new and increasingly popular family of deep neural network architectures to perform learning on graphs. Training them efficiently is challenging due to the irregular nature of graph data. The problem…

Machine Learning · Computer Science 2021-06-15 Marco Serafini , Hui Guan

The representation learning on textual graph is to generate low-dimensional embeddings for the nodes based on the individual textual features and the neighbourhood information. Recent breakthroughs on pretrained language models and graph…

Computation and Language · Computer Science 2023-10-10 Junhan Yang , Zheng Liu , Shitao Xiao , Chaozhuo Li , Defu Lian , Sanjay Agrawal , Amit Singh , Guangzhong Sun , Xing Xie

Affordable, high-quality whole-genome assemblies have made it possible to construct rich pangenomes that capture haplotype diversity across many species. As these datasets grow, they motivate the development of specialized techniques…

Genomics · Quantitative Biology 2025-12-19 Gorkem Kadir Solun , Ugur Dogrusoz

Unsupervised attributed graph representation learning is challenging since both structural and feature information are required to be represented in the latent space. Existing methods concentrate on learning latent representation via…

Machine Learning · Computer Science 2021-04-28 Zelin Zang , Siyuan Li , Di Wu , Jianzhu Guo , Yongjie Xu , Stan Z. Li

Language models are typically trained on large corpora of text in their default orthographic form. However, this is not the only option; representing data as streams of phonemes can offer unique advantages, from deeper insights into…

Computation and Language · Computer Science 2024-10-31 Zébulon Goriely , Richard Diehl Martinez , Andrew Caines , Lisa Beinborn , Paula Buttery

In this work, we give a structural lemma on merges of typical sequences, a notion that was introduced in 1991 [Lagergren and Arnborg, Bodlaender and Kloks, both ICALP 1991] to obtain constructive linear time parameterized algorithms for…

Data Structures and Algorithms · Computer Science 2020-01-15 Hans L. Bodlaender , Lars Jaffke , Jan Arne Telle

Large Language Models (LLMs) have demonstrated strong capabilities in various natural language processing tasks; however, their application to graph-related problems remains limited, primarily due to scalability constraints and the absence…

Machine Learning · Computer Science 2025-05-08 Hyun Lee , Chris Yi , Maminur Islam , B. D. S. Aritra

The foundation model has heralded a new era in artificial intelligence, pretraining a single model to offer cross-domain transferability on different datasets. Graph neural networks excel at learning graph data, the omnipresent…

Machine Learning · Computer Science 2025-04-09 Li Sun , Zhenhao Huang , Suyang Zhou , Qiqi Wan , Hao Peng , Philip Yu

We introduce a graph-signal generalisation of Sample Entropy, denoted SampEn$_{G}$, to quantify irregularity of graph signals on a continuous state space, complementing existing methods on symbolic dynamics. Our approach replaces the…

Signal Processing · Electrical Eng. & Systems 2026-04-23 Mei-San Maggie Lei , John Stewart Fabila Carrasco , Javier Escudero

While Large Language Models (LLMs) have shown exceptional generalization capabilities, their ability to process graph data, such as molecular structures, remains limited. To bridge this gap, this paper proposes Graph2Token, an efficient…

Machine Learning · Computer Science 2025-03-11 Runze Wang , Mingqi Yang , Yanming Shen