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This is a tutorial in applied and computational topology and topological data analysis. It is illustrated with numerous computational examples that utilize Gudhi library. It is under constant development, so please do not consider this…

Mathematical Software · Computer Science 2018-08-24 Paweł Dłotko

Topological data analysis (TDA) is an emergent field of data analysis. The critical step of TDA is computing the persistent Betti numbers. Existing classical algorithms for TDA are limited if we want to learn from high-dimensional…

Quantum Physics · Physics 2022-12-14 Ryu Hayakawa

Recently, deep learning (DL) approaches to vulnerability detection have gained significant traction. These methods demonstrate promising results, often surpassing traditional static code analysis tools in effectiveness. In this study, we…

Machine Learning · Computer Science 2024-10-07 Pavel Snopov , Andrey Nikolaevich Golubinskiy

While current time series research focuses on developing new models, crucial questions of selecting an optimal approach for training such models are underexplored. Tsururu, a Python library introduced in this paper, bridges SoTA research…

Machine Learning · Computer Science 2025-09-22 Alina Kostromina , Kseniia Kuvshinova , Aleksandr Yugay , Andrey Savchenko , Dmitry Simakov

Flow in porous media is difficult to address using standard analytical or numerical methods due to its complexity. However, since synthetic representations of porous media are easy to produce and data from physical experiments are becoming…

This paper describes the autofeat Python library, which provides scikit-learn style linear regression and classification models with automated feature engineering and selection capabilities. Complex non-linear machine learning models, such…

Machine Learning · Computer Science 2020-02-27 Franziska Horn , Robert Pack , Michael Rieger

TOPCAT and STILTS are related packages for desktop analysis of tabular data, presenting GUI and command-line interfaces respectively to much of the same functionality. This paper presents features in TOPCAT that facilitate use of STILTS.

Instrumentation and Methods for Astrophysics · Physics 2025-01-08 Mark Taylor

Evaluating the quality of reasoning traces from large language models remains understudied, labor-intensive, and unreliable: current practice relies on expert rubrics, manual annotation, and slow pairwise judgments. Automated efforts are…

Artificial Intelligence · Computer Science 2026-05-28 Xue Wen Tan , Nathaniel Tan , Galen Lee , Stanley Kok

Graph domain adaptation has emerged as a promising approach to facilitate knowledge transfer across different domains. Recently, numerous models have been proposed to enhance their generalization capabilities in this field. However, there…

Machine Learning · Computer Science 2025-03-14 Zhen Zhang , Meihan Liu , Bingsheng He

In this paper, we present the FATS (Feature Analysis for Time Series) library. FATS is a Python library which facilitates and standardizes feature extraction for time series data. In particular, we focus on one application: feature…

Instrumentation and Methods for Astrophysics · Physics 2015-09-02 Isadora Nun , Pavlos Protopapas , Brandon Sim , Ming Zhu , Rahul Dave , Nicolas Castro , Karim Pichara

Tuning hyperparameters for machine learning algorithms is a tedious task, one that is typically done manually. To enable automated hyperparameter tuning, recent works have started to use techniques based on Bayesian optimization. However,…

Machine Learning · Computer Science 2020-05-26 Sandeep Singh Sandha , Mohit Aggarwal , Igor Fedorov , Mani Srivastava

Test-time adaptation (TTA) addresses distribution shifts for streaming test data in unsupervised settings. Currently, most TTA methods can only deal with minor shifts and rely heavily on heuristic and empirical studies. To advance TTA under…

Machine Learning · Computer Science 2024-04-09 Shurui Gui , Xiner Li , Shuiwang Ji

Topological data analysis (TDA) is a branch of computational mathematics, bridging algebraic topology and data science, that provides compact, noise-robust representations of complex structures. Deep neural networks (DNNs) learn millions of…

Chain-of-Thought (CoT) has been shown to significantly improve the reasoning accuracy of large language models (LLMs) on complex tasks. However, due to the autoregressive, step-by-step generation paradigm, existing CoT methods suffer from…

Artificial Intelligence · Computer Science 2026-03-03 Jiaquan Zhang , Chaoning Zhang , Shuxu Chen , Xudong Wang , Zhenzhen Huang , Pengcheng Zheng , Shuai Yuan , Sheng Zheng , Qigan Sun , Jie Zou , Lik-Hang Lee , Yang Yang

Theano is a Python library that allows to define, optimize, and evaluate mathematical expressions involving multi-dimensional arrays efficiently. Since its introduction, it has been one of the most used CPU and GPU mathematical compilers -…

Symbolic Computation · Computer Science 2016-05-10 The Theano Development Team , Rami Al-Rfou , Guillaume Alain , Amjad Almahairi , Christof Angermueller , Dzmitry Bahdanau , Nicolas Ballas , Frédéric Bastien , Justin Bayer , Anatoly Belikov , Alexander Belopolsky , Yoshua Bengio , Arnaud Bergeron , James Bergstra , Valentin Bisson , Josh Bleecher Snyder , Nicolas Bouchard , Nicolas Boulanger-Lewandowski , Xavier Bouthillier , Alexandre de Brébisson , Olivier Breuleux , Pierre-Luc Carrier , Kyunghyun Cho , Jan Chorowski , Paul Christiano , Tim Cooijmans , Marc-Alexandre Côté , Myriam Côté , Aaron Courville , Yann N. Dauphin , Olivier Delalleau , Julien Demouth , Guillaume Desjardins , Sander Dieleman , Laurent Dinh , Mélanie Ducoffe , Vincent Dumoulin , Samira Ebrahimi Kahou , Dumitru Erhan , Ziye Fan , Orhan Firat , Mathieu Germain , Xavier Glorot , Ian Goodfellow , Matt Graham , Caglar Gulcehre , Philippe Hamel , Iban Harlouchet , Jean-Philippe Heng , Balázs Hidasi , Sina Honari , Arjun Jain , Sébastien Jean , Kai Jia , Mikhail Korobov , Vivek Kulkarni , Alex Lamb , Pascal Lamblin , Eric Larsen , César Laurent , Sean Lee , Simon Lefrancois , Simon Lemieux , Nicholas Léonard , Zhouhan Lin , Jesse A. Livezey , Cory Lorenz , Jeremiah Lowin , Qianli Ma , Pierre-Antoine Manzagol , Olivier Mastropietro , Robert T. McGibbon , Roland Memisevic , Bart van Merriënboer , Vincent Michalski , Mehdi Mirza , Alberto Orlandi , Christopher Pal , Razvan Pascanu , Mohammad Pezeshki , Colin Raffel , Daniel Renshaw , Matthew Rocklin , Adriana Romero , Markus Roth , Peter Sadowski , John Salvatier , François Savard , Jan Schlüter , John Schulman , Gabriel Schwartz , Iulian Vlad Serban , Dmitriy Serdyuk , Samira Shabanian , Étienne Simon , Sigurd Spieckermann , S. Ramana Subramanyam , Jakub Sygnowski , Jérémie Tanguay , Gijs van Tulder , Joseph Turian , Sebastian Urban , Pascal Vincent , Francesco Visin , Harm de Vries , David Warde-Farley , Dustin J. Webb , Matthew Willson , Kelvin Xu , Lijun Xue , Li Yao , Saizheng Zhang , Ying Zhang

This paper introduces advanced techniques of Topological Data Analysis (TDA) for unsupervised anomaly detection and customer segmentation in banking data. Using the Mapper algorithm and persistent homology, we develop unsupervised…

Machine Learning · Computer Science 2025-08-21 Leonardo Aldo Alejandro Barberi , Linda Maria De Cave

While machine learning offers diverse techniques suitable for exploring various medical research questions, a cohesive synergistic framework can facilitate the integration and understanding of new approaches within unified model development…

Machine Learning · Computer Science 2025-01-09 Ramtin Zargari Marandi , Anne Svane Frahm , Jens Lundgren , Daniel Dawson Murray , Maja Milojevic

When analyzing programs, large libraries pose significant challenges to static points-to analysis. A popular solution is to have a human analyst provide points-to specifications that summarize relevant behaviors of library code, which can…

Programming Languages · Computer Science 2018-05-23 Osbert Bastani , Rahul Sharma , Alex Aiken , Percy Liang

This paper describes a localized algorithm for the topological simplification of scalar data, an essential pre-processing step of topological data analysis (TDA). Given a scalar field f and a selection of extrema to preserve, the proposed…

Data Structures and Algorithms · Computer Science 2020-09-02 Jonas Lukasczyk , Christoph Garth , Ross Maciejewski , Julien Tierny

This work introduces a novel interpretable machine learning method called Mixture of Decision Trees (MoDT). It constitutes a special case of the Mixture of Experts ensemble architecture, which utilizes a linear model as gating function and…

Machine Learning · Computer Science 2022-11-29 Simeon Brüggenjürgen , Nina Schaaf , Pascal Kerschke , Marco F. Huber