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In this note a notion of generalized topological entropy for arbitrary subsets of the space of all sequences in a compact topological space is introduced. It is shown that for a continuous map on a compact space the generalized topological…

Dynamical Systems · Mathematics 2024-10-29 Maysam Maysami Sadr , Mina Shahrestani

Clinical time series data from electronic health records and medical registries offer unprecedented opportunities to understand patient trajectories and inform medical decision-making. However, leveraging such data presents significant…

Machine Learning · Computer Science 2025-11-21 Muhammad Aslanimoghanloo , Ahmed ElGazzar , Marcel van Gerven

Acoustic Scene Classification (ASC) faces challenges in generalizing across recording devices, particularly when labeled data is limited. The DCASE 2024 Challenge Task 1 highlights this issue by requiring models to learn from small labeled…

Sound · Computer Science 2026-02-02 Peihong Zhang , Yuxuan Liu , Zhixin Li , Rui Sang , Yiqiang Cai , Yizhou Tan , Shengchen Li

The Linear Threshold Model (LTM) is widely used to study the propagation of collective behaviors as complex contagions. However, its dependence on discrete states and timesteps restricts its ability to capture the multiple time-scales…

Systems and Control · Electrical Eng. & Systems 2026-04-01 Ian Xul Belaustegui , Himani Sinhmar , Ling-Wei Kong , Andrew Michael Hein , Naomi Ehrich Leonard

The stochastic interpolant framework offers a powerful approach for constructing generative models based on ordinary differential equations (ODEs) or stochastic differential equations (SDEs) to transform arbitrary data distributions.…

Machine Learning · Computer Science 2025-07-29 Yuhao Liu , Yu Chen , Rui Hu , Longbo Huang

Persistent entropy (PE) is an information-theoretic summary statistic of persistence barcodes that has been widely used to detect regime changes in complex systems. Despite its empirical success, a general theoretical understanding of when…

Machine Learning · Statistics 2026-02-11 Matteo Rucco

We formulate a unified definition of the statistical effective temperature (SET) for finite-dimensional classical and quantum systems using dimension-dependent indices of purity derived from the eigenvalue spectrum. This spectral approach…

Quantum Physics · Physics 2025-08-06 Tariq Aziz , Meng-Long Song , Liu Ye , Dong Wang , José J. Gil , Sabre Kais

Dynamic latent space models are widely used for characterizing changes in networks and relational data over time. These models assign to each node latent attributes that characterize connectivity with other nodes, with these latent…

Methodology · Statistics 2024-12-13 Jennifer Noelle Kampe , Luca Alessandro Silva , Tomas Roslin , David Brian Dunson

The dynamics of molecular collisions in a macroscopic body are encoded by the parameter Thermodynamic entropy - a statistical measure of the number of molecular configurations that correspond to a given macrostate. Directionality in the…

Populations and Evolution · Quantitative Biology 2020-05-22 Lloyd Demetrius , Christian Wolf

Recent advances in signal processing and information theory are boosting the development of new approaches for the data-driven modelling of complex network systems. In the fields of Network Physiology and Network Neuroscience where the…

Methodology · Statistics 2024-01-23 Laura Sparacino , Yuri Antonacci , Gorana Mijatovic , Luca Faes

Chain-of-thought (CoT) reasoning has become the default strategy for enhancing LLM capabilities, yet its application raises a fundamental question: when is explicit reasoning actually beneficial? Empirical evidence reveals a striking…

Machine Learning · Computer Science 2026-05-25 Wei Xia , Haoqing Wang , Zhi-Hong Deng , Yehui Tang

Semisupervised text classification has become a major focus of research over the past few years. Hitherto, most of the research has been based on supervised learning, but its main drawback is the unavailability of labeled data samples in…

Machine Learning · Computer Science 2021-11-17 Shivani Malhotra , Vinay Kumar , Alpana Agarwal

Active learning is a promising alternative to alleviate the issue of high annotation cost in the computer vision tasks by consciously selecting more informative samples to label. Active learning for object detection is more challenging and…

Computer Vision and Pattern Recognition · Computer Science 2022-04-19 Jiaxi Wu , Jiaxin Chen , Di Huang

A general method is presented for modeling high entropy alloys as ensembles of randomly sampled, ordered configurations on a given lattice. Statistical mechanics is applied post hoc to derive the ensemble properties as a function of…

Materials Science · Physics 2022-11-24 Andrew Novick , Quan Nguyen , Roman Garnett , Eric Toberer , Vladan Stevanović

Sampling from flat modes in discrete spaces is a crucial yet underexplored problem. Flat modes represent robust solutions and have broad applications in combinatorial optimization and discrete generative modeling. However, existing sampling…

Machine Learning · Computer Science 2025-05-19 Pinaki Mohanty , Riddhiman Bhattacharya , Ruqi Zhang

Imaging-derived phenotypes (IDPs) summarize multi-organ physiology but provide only static snapshots of diseases that evolve over time. In contrast, longitudinal electronic health records encode disease trajectories through temporal…

Information Retrieval · Computer Science 2026-05-13 Zian Wang , Lizhen Lan , Guangming Wang , Haosen Zhang , Minxuan Xu , Qing Li , Tianxing He , Mo Yang , Wenyue Mao , Yajing Zhang , Yan Li , Chengyan Wang

Shannon Entropy has been extensively used for characterizing complexity of time series arising from chaotic dynamical systems and stochastic processes such as Markov chains. However, for short and noisy time series, Shannon entropy performs…

Chaotic Dynamics · Physics 2016-12-08 Nithin Nagaraj , Karthi Balasubramanian

Effective learning from electronic health records (EHR) data for prediction of clinical outcomes is often challenging because of features recorded at irregular timesteps and loss to follow-up as well as competing events such as death or…

Machine Learning · Computer Science 2022-08-11 Intae Moon , Stefan Groha , Alexander Gusev

Policy gradient algorithms have driven many recent advancements in language model reasoning. An appealing property is their ability to learn from exploration on their own trajectories, a process crucial for fostering diverse and creative…

Machine Learning · Computer Science 2026-03-13 Aleksei Petrenko , Ben Lipkin , Kevin Chen , Erik Wijmans , Marco Cusumano-Towner , Raja Giryes , Philipp Krähenbühl

Test-time adaptation (TTA) fine-tunes pre-trained deep neural networks for unseen test data. The primary challenge of TTA is limited access to the entire test dataset during online updates, causing error accumulation. To mitigate it, TTA…

Computer Vision and Pattern Recognition · Computer Science 2024-03-13 Jonghyun Lee , Dahuin Jung , Saehyung Lee , Junsung Park , Juhyeon Shin , Uiwon Hwang , Sungroh Yoon