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We propose a statistical framework built on latent variable modeling for scaling laws of large language models (LLMs). Our work is motivated by the rapid emergence of numerous new LLM families with distinct architectures and training…

Discovering governing equations of complex network dynamics is a fundamental challenge in contemporary science with rich data, which can uncover the mysterious patterns and mechanisms of the formation and evolution of complex phenomena in…

Artificial Intelligence · Computer Science 2024-11-12 Jiao Hu , Jiaxu Cui , Bo Yang

Deep generative models have significantly advanced medical imaging analysis by enhancing dataset size and quality. Beyond mere data augmentation, our research in this paper highlights an additional, significant capacity of deep generative…

Computer Vision and Pattern Recognition · Computer Science 2024-10-18 Xiaodan Xing , Junzhi Ning , Yang Nan , Guang Yang

The ability to accurately model random fields plays a critical role in science and engineering for problems involving uncertain, spatially-varying quantities such as heterogeneous material properties and turbulent flows. Deep generative…

Detecting dynamic patterns of task-specific responses shared across heterogeneous datasets is an essential and challenging problem in many scientific applications in medical science and neuroscience. In our motivating example of rodent…

Neurons and Cognition · Quantitative Biology 2024-07-02 Yubai Yuan , Babak Shahbaba , Norbert Fortin , Keiland Cooper , Qing Nie , Annie Qu

The analysis of survey data is a frequently arising issue in clinical trials, particularly when capturing quantities which are difficult to measure. Typical examples are questionnaires about patient's well-being, pain, or consent to an…

Methodology · Statistics 2024-01-31 Johannes Wieditz , Clemens Miller , Jan Scholand , Marcus Nemeth

Dynamical systems are ubiquitous within science and engineering, from turbulent flow across aircraft wings to structural variability of proteins. Although some systems are well understood and simulated, scientific imaging often confronts…

Computer Vision and Pattern Recognition · Computer Science 2025-09-03 Ali SaraerToosi , Renbo Tu , Kamyar Azizzadenesheli , Aviad Levis

Learning high-level causal representations together with a causal model from unstructured low-level data such as pixels is impossible from observational data alone. We prove under mild assumptions that this representation is however…

Machine Learning · Statistics 2022-10-12 Johann Brehmer , Pim de Haan , Phillip Lippe , Taco Cohen

In this work, we propose a novel variational Bayesian adaptive learning approach for cross-domain knowledge transfer to address acoustic mismatches between training and testing conditions, such as recording devices and environmental noise.…

Audio and Speech Processing · Electrical Eng. & Systems 2025-01-28 Hu Hu , Sabato Marco Siniscalchi , Chao-Han Huck Yang , Chin-Hui Lee

The analysis of electrical impulse phenomena in cardiac muscle tissue is important for the diagnosis of heart rhythm disorders and other cardiac pathophysiology. Cardiac mapping techniques acquire local temporal measurements and combine…

Medical Physics · Physics 2022-03-21 Jan Lebert , Namita Ravi , Flavio Fenton , Jan Christoph

Deep reinforcement learning has shown remarkable success in the past few years. Highly complex sequential decision making problems have been solved in tasks such as game playing and robotics. Unfortunately, the sample complexity of most…

Machine Learning · Computer Science 2020-12-03 Aske Plaat , Walter Kosters , Mike Preuss

The impact of machine learning models on healthcare will depend on the degree of trust that healthcare professionals place in the predictions made by these models. In this paper, we present a method to provide people with clinical expertise…

Machine Learning · Computer Science 2021-03-05 Aniruddh Raghu , John Guttag , Katherine Young , Eugene Pomerantsev , Adrian V. Dalca , Collin M. Stultz

Limited datasets and complex nonlinear relationships are among the challenges that may emerge when applying econometrics to macroeconomic problems. This research proposes deep learning as an approach to transfer learning in the former case…

Econometrics · Economics 2022-02-01 Rafael R. S. Guimaraes

Deep latent variable models (DLVMs) combine the approximation abilities of deep neural networks and the statistical foundations of generative models. Variational methods are commonly used for inference; however, the exact likelihood of…

Machine Learning · Statistics 2018-06-29 Pierre-Alexandre Mattei , Jes Frellsen

The data-driven recovery of the unknown governing equations of dynamical systems has recently received an increasing interest. However, the identification of governing equations remains challenging when dealing with noisy and partial…

Machine Learning · Computer Science 2021-02-17 Duong Nguyen , Said Ouala , Lucas Drumetz , Ronan Fablet

Prevalent in biomedical applications (e.g., human phenotype research), multimodal datasets can provide valuable insights into the underlying physiological mechanisms. However, current machine learning (ML) models designed to analyze these…

The identification and modeling of time-varying systems is a fundamental challenge in signal processing and system identification. To address this challenge, we propose a class of time-varying state-space model (SSM) based neural networks…

Machine Learning · Computer Science 2026-05-18 Sanja Karilanova , Subhrakanti Dey , Ayça Özçelikkale

Generative models have emerged as powerful tools in medical imaging, enabling tasks such as segmentation, anomaly detection, and high-quality synthetic data generation. These models typically rely on learning meaningful latent…

Computer Vision and Pattern Recognition · Computer Science 2026-02-17 Jordi Malé , Juan Fortea , Mateus Rozalem-Aranha , Neus Martínez-Abadías , Xavier Sevillano

We present a representation learning algorithm that learns a low-dimensional latent dynamical system from high-dimensional \textit{sequential} raw data, e.g., video. The framework builds upon recent advances in amortized inference methods…

Machine Learning · Computer Science 2020-01-29 Jung-Su Ha , Young-Jin Park , Hyeok-Joo Chae , Soon-Seo Park , Han-Lim Choi

Deep learning methods for classifying medical images have demonstrated impressive accuracy in a wide range of tasks but often these models are hard to interpret, limiting their applicability in clinical practice. In this work we introduce a…

Image and Video Processing · Electrical Eng. & Systems 2019-08-13 James R. Clough , Ilkay Oksuz , Esther Puyol-Anton , Bram Ruijsink , Andrew P. King , Julia A. Schnabel