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We explore the recently introduced persistent reachability homology (PRH) of digraph data, i.e. data in the form of directed graphs. In particular, we study the effectiveness of PRH in network classification task in a key neuroscience…

Machine Learning · Computer Science 2025-11-10 Luigi Caputi , Nicholas Meadows , Henri Riihimäki

Persistent homology is a popular computational tool for analyzing the topology of point clouds, such as the presence of loops or voids. However, many real-world datasets with low intrinsic dimensionality reside in an ambient space of much…

Machine Learning · Computer Science 2024-11-01 Sebastian Damrich , Philipp Berens , Dmitry Kobak

This paper is a cursory study on how topological features are preserved within the internal representations of neural network layers. Using techniques from topological data analysis, namely persistent homology, the topological features of a…

Machine Learning · Computer Science 2022-08-16 Archie Shahidullah

Recent work has shown that neural feature- and representation-learning, e.g. BERT, achieves superior performance over traditional manual feature engineering based approaches, with e.g. SVMs, in translationese classification tasks. Previous…

Computation and Language · Computer Science 2022-10-25 Kwabena Amponsah-Kaakyire , Daria Pylypenko , Josef van Genabith , Cristina España-Bonet

Tremendous amounts of multimedia associated with speech information are driving an urgent need to develop efficient and effective automatic summarization methods. To this end, we have seen rapid progress in applying supervised deep neural…

Computation and Language · Computer Science 2020-06-03 Shi-Yan Weng , Tien-Hong Lo , Berlin Chen

The persistent homology of a stationary point process on ${\bf R}^N$ is studied in this paper. As a generalization of continuum percolation theory, we study higher dimensional topological features of the point process such as loops,…

Probability · Mathematics 2016-12-28 Trinh Khanh Duy , Yasuaki Hiraoka , Tomoyuki Shirai

BERT, which stands for Bidirectional Encoder Representations from Transformers, is a recently introduced language representation model based upon the transfer learning paradigm. We extend its fine-tuning procedure to address one of its…

Computation and Language · Computer Science 2019-10-25 Raghavendra Pappagari , Piotr Żelasko , Jesús Villalba , Yishay Carmiel , Najim Dehak

Biological and physical systems often exhibit distinct structures at different spatial/temporal scales. Persistent homology is an algebraic tool that provides a mathematical framework for analyzing the multi-scale structures frequently…

Algebraic Topology · Mathematics 2016-02-01 Jonathan Jaquette , Miroslav Kramár

In this paper, we propose a method for transferring feature representation to lightweight student models from larger teacher models. We mathematically define a new notion called \textit{perception coherence}. Based on this notion, we…

Machine Learning · Statistics 2026-02-24 Hai-Vy Nguyen , Fabrice Gamboa , Sixin Zhang , Reda Chhaibi , Serge Gratton , Thierry Giaccone

For readability assessment, traditional methods mainly employ machine learning classifiers with hundreds of linguistic features. Although the deep learning model has become the prominent approach for almost all NLP tasks, it is less…

Computation and Language · Computer Science 2023-03-07 Wenbiao Li , Ziyang Wang , Yunfang Wu

In recent years, pre-trained models have become dominant in most natural language processing (NLP) tasks. However, in the area of Automated Essay Scoring (AES), pre-trained models such as BERT have not been properly used to outperform other…

Computation and Language · Computer Science 2022-05-24 Yongjie Wang , Chuan Wang , Ruobing Li , Hui Lin

Utilizing clinical texts in survival analysis is difficult because they are largely unstructured. Current automatic extraction models fail to capture textual information comprehensively since their labels are limited in scope. Furthermore,…

Computation and Language · Computer Science 2021-05-04 Hyun Gi Lee , Evan Sholle , Ashley Beecy , Subhi Al'Aref , Yifan Peng

We propose a novel method for topological analysis of unweighted graphs which is based on \textit{persistent homology}. The proposed method maps the input graph to a complete weighted graph where the weighting function maps each edge to a…

Algebraic Topology · Mathematics 2020-07-31 Padraig Corcoran

Representation learning is a critical ingredient for natural language processing systems. Recent Transformer language models like BERT learn powerful textual representations, but these models are targeted towards token- and sentence-level…

Computation and Language · Computer Science 2020-05-21 Arman Cohan , Sergey Feldman , Iz Beltagy , Doug Downey , Daniel S. Weld

Hidden-unit BERT (HuBERT) is a widely-used self-supervised learning (SSL) model in speech processing. However, we argue that its fixed 20ms resolution for hidden representations would not be optimal for various speech-processing tasks since…

Sound · Computer Science 2023-06-26 Jiatong Shi , Yun Tang , Hirofumi Inaguma , Hongyu GOng , Juan Pino , Shinji Watanabe

Transformer neural networks, particularly Bidirectional Encoder Representations from Transformers (BERT), have shown remarkable performance across various tasks such as classification, text summarization, and question answering. However,…

Machine Learning · Computer Science 2025-02-18 Matteo Bonino , Giorgia Ghione , Giansalvo Cirrincione

We introduce a new language representation model called BERT, which stands for Bidirectional Encoder Representations from Transformers. Unlike recent language representation models, BERT is designed to pre-train deep bidirectional…

Computation and Language · Computer Science 2019-05-28 Jacob Devlin , Ming-Wei Chang , Kenton Lee , Kristina Toutanova

Aqueous solubility and partition coefficient are important physical properties of small molecules. Accurate theoretical prediction of aqueous solubility and partition coefficient plays an important role in drug design and discovery. The…

Quantitative Methods · Quantitative Biology 2018-01-08 Kedi Wu , Zhixiong Zhao , Renxiao Wang , Guo-Wei Wei

Persistent homology is an important methodology in topological data analysis which adapts theory from algebraic topology to data settings. Computing persistent homology produces persistence diagrams, which have been successfully used in…

Machine Learning · Statistics 2026-01-13 Yueqi Cao , Anthea Monod

Topology applied to real world data using persistent homology has started to find applications within machine learning, including deep learning. We present a differentiable topology layer that computes persistent homology based on level set…

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