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In this work we use the persistent homology method, a technique in topological data analysis (TDA), to extract essential topological features from the data space and combine them with deep learning features for classification tasks. In TDA,…

Computer Vision and Pattern Recognition · Computer Science 2023-11-14 Mariana Dória Prata Lima , Gilson Antonio Giraldi , Gastão Florêncio Miranda Junior

Topological data analysis (TDA) is a rapidly evolving field in applied mathematics and data science that leverages tools from topology to uncover robust, shape-driven insights in complex datasets. The main workhorse is persistent homology,…

History and Overview · Mathematics 2025-07-29 Zhe Su , Xiang Liu , Layal Bou Hamdan , Vasileios Maroulas , Jie Wu , Gunnar Carlsson , Guo-Wei Wei

Topological Data Analysis (TDA) is a rigorous framework that borrows techniques from geometric and algebraic topology, category theory, and combinatorics in order to study the "shape" of such complex high-dimensional data. Research in this…

Algebraic Topology · Mathematics 2022-04-15 R. W. R. Darling , John A. Emanuello , Emilie Purvine , Ahmad Ridley

The identification of dynamics from time series data is a problem of general interest. It is well established that dynamics on the level of invariant sets, the primary objects of interest in the classical theory of dynamical systems, is not…

Dynamical Systems · Mathematics 2025-12-17 Marcio Gameiro , Brittany Gelb , Konstantin Mischaikow

Dialogue related Machine Reading Comprehension requires language models to effectively decouple and model multi-turn dialogue passages. As a dialogue development goes after the intentions of participants, its topic may not keep constant…

Computation and Language · Computer Science 2023-09-19 Xinbei Ma , Yi Xu , Hai Zhao , Zhuosheng Zhang

Emotion recognition in conversation (ERC) has been attracting attention by methods for modeling multi-turn contexts. The multi-turn input to a pretraining model implicitly assumes that the current turn and other turns are distinguished…

Computation and Language · Computer Science 2025-01-03 Junya Ono , Hiromi Wakaki

Is chatbot able to completely replace the human agent? The short answer could be - "it depends...". For some challenging cases, e.g., dialogue's topical spectrum spreads beyond the training corpus coverage, the chatbot may malfunction and…

Computation and Language · Computer Science 2020-12-15 Jiawei Liu , Zhe Gao , Yangyang Kang , Zhuoren Jiang , Guoxiu He , Changlong Sun , Xiaozhong Liu , Wei Lu

Topological Data Analysis (TDA) is a discipline that applies algebraic topology techniques to analyze complex, multi-dimensional data. Although it is a relatively new field, TDA has been widely and successfully applied across various…

Machine Learning · Computer Science 2024-07-29 Martin Uray , Barbara Giunti , Michael Kerber , Stefan Huber

Topological Data Analysis (TDA) has been successfully used for various tasks in signal/image processing, from visualization to supervised/unsupervised classification. Often, topological characteristics are obtained from persistent homology…

Sound · Computer Science 2023-10-11 Guillem Bonafos , Jean-Marc Freyermuth , Pierre Pudlo , Samuel Tronçon , Arnaud Rey

Topological data analysis (TDA) is an emerging mathematical concept for characterizing shapes in complex data. In TDA, persistence diagrams are widely recognized as a useful descriptor of data, and can distinguish robust and noisy…

Algebraic Topology · Mathematics 2016-04-27 Genki Kusano , Kenji Fukumizu , Yasuaki Hiraoka

Textual escalation detection has been widely applied to e-commerce companies' customer service systems to pre-alert and prevent potential conflicts. Similarly, in public areas such as airports and train stations, where many impersonal…

Sound · Computer Science 2021-11-05 Ziang Zhou , Yanze Xu , Ming Li

Topological Data Analysis (TDA) is a modern approach to Data Analysis focusing on the topological features of data; it has been widely studied in recent years and used extensively in Biology, Physics, and many other areas. However,…

Mathematical Finance · Quantitative Finance 2023-07-11 Miguel A. Ruiz-Ortiz , José Carlos Gómez-Larrañaga , Jesús Rodríguez-Viorato

We propose TANDA, an effective technique for fine-tuning pre-trained Transformer models for natural language tasks. Specifically, we first transfer a pre-trained model into a model for a general task by fine-tuning it with a large and…

Computation and Language · Computer Science 2019-11-21 Siddhant Garg , Thuy Vu , Alessandro Moschitti

We present a real-time front-end for voice-based conversational AI to enable natural turn-taking in two-speaker scenarios by combining primary speaker segmentation with hierarchical End-of-Turn (EOT) detection. To operate robustly in…

Machine Learning · Computer Science 2026-03-17 Karim Helwani , Hoang Do , James Luan , Sriram Srinivasan

We present two deep learning approaches to narrative text understanding for character relationship modelling. The temporal evolution of these relations is described by dynamic word embeddings, that are designed to learn semantic changes…

Computation and Language · Computer Science 2020-03-20 Vani K , Simone Mellace , Alessandro Antonucci

Modern business and economic datasets often exhibit nonlinear, multi-scale structures that traditional linear tools under-represent. Topological Data Analysis (TDA) offers a geometric lens for uncovering robust patterns, such as connected…

Machine Learning · Statistics 2025-11-18 Ioannis Diamantis

Goal oriented dialogue systems were originally designed as a natural language interface to a fixed data-set of entities that users might inquire about, further described by domain, slots, and values. As we move towards adaptable dialogue…

Computation and Language · Computer Science 2022-08-23 Renato Vukovic , Michael Heck , Benjamin Matthias Ruppik , Carel van Niekerk , Marcus Zibrowius , Milica Gašić

We cast new light on the existing models of one-way deterministic topological automata by introducing a fresh but general, convenient model, in which, as each input symbol is read, an interior system of an automaton, known as a…

Formal Languages and Automata Theory · Computer Science 2021-04-19 Tomoyuki Yamakami

We propose a systematic methodology to identify the topological phase transition through a self-supervised machine learning model, which is trained to correlate system parameters to the non-local observables in time-of-flight experiments of…

Quantum Gases · Physics 2021-09-01 Chi-Ting Ho , Daw-Wei Wang

The role of the attention mechanism in encoding linguistic knowledge has received special interest in NLP. However, the ability of the attention heads to judge the grammatical acceptability of a sentence has been underexplored. This paper…

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