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Modeling tumor growth accurately is essential for understanding cancer progression and informing treatment strategies. To estimate the parameters in the tumor growth model described by a nonlinear PDE, we adopt Physics-Informed Neural…

Analysis of PDEs · Mathematics 2025-11-21 Liu Liu , Yifei Wang , Qinyu Xu , Xiaoqian Xu

Disentangled representations seek to recover latent factors of variation underlying observed data, yet their identifiability is still not fully understood. We introduce a unified framework in which disentanglement is achieved through…

Machine Learning · Computer Science 2026-05-12 Stefan Matthes , Zhiwei Han , Hao Shen

We explore the derivation of distributed parameter system evolution laws (and in particular, partial differential operators and associated partial differential equations, PDEs) from spatiotemporal data. This is, of course, a classical…

Machine Learning · Statistics 2020-11-18 Hassan Arbabi , Felix P. Kemeth , Tom Bertalan , Ioannis Kevrekidis

We propose a covariate-dependent discrete graphical model for capturing dynamic networks among discrete random variables, allowing the dependence structure among vertices to vary with covariates. This discrete dynamic network encompasses…

Methodology · Statistics 2025-11-19 Lyndsay Roach , Qiong Li , Nanwei Wang , Xin Gao

Causal disentanglement aims to uncover a representation of data using latent variables that are interrelated through a causal model. Such a representation is identifiable if the latent model that explains the data is unique. In this paper,…

This paper presents a novel approach that leverages domain variability to learn representations that are conditionally invariant to unwanted variability or distractors. Our approach identifies both spurious and invariant latent features…

Machine Learning · Computer Science 2023-07-04 Hananeh Aliee , Ferdinand Kapl , Soroor Hediyeh-Zadeh , Fabian J. Theis

Constraint-based causal discovery algorithms utilize many statistical tests for conditional independence to uncover networks of causal dependencies. These approaches to causal discovery rely on an assumed correspondence between the…

Machine Learning · Computer Science 2025-04-18 Bijan Mazaheri , Jiaqi Zhang , Caroline Uhler

Inferring the causal structure underlying stochastic dynamical systems from observational data holds great promise in domains ranging from science and health to finance. Such processes can often be accurately modeled via stochastic…

Machine Learning · Computer Science 2025-03-04 Georg Manten , Cecilia Casolo , Emilio Ferrucci , Søren Wengel Mogensen , Cristopher Salvi , Niki Kilbertus

The recent adoption of Electronic Health Records (EHRs) by health care providers has introduced an important source of data that provides detailed and highly specific insights into patient phenotypes over large cohorts. These datasets, in…

Non-invasive brain imaging techniques allow understanding the behavior and macro changes in the brain to determine the progress of a disease. However, computational pathology provides a deeper understanding of brain disorders at cellular…

Image and Video Processing · Electrical Eng. & Systems 2023-01-18 Gabriel Jimenez , Daniel Racoceanu

Many natural phenomena are intrinsically causal. The discovery of the cause-effect relationships implicit in these processes can help us to understand and describe them more effectively, which boils down to causal discovery about the data…

Quantitative Methods · Quantitative Biology 2024-01-09 Jean Pierre Gomez

Understanding patterns of diagnoses, medications, procedures, and laboratory tests from electronic health records (EHRs) and health insurer claims is important for understanding disease risk and for efficient clinical development, which…

Machine Learning · Computer Science 2022-11-16 Ying Xu , Romane Gauriau , Anna Decker , Jacob Oppenheim

In this work we consider the task of relaxing the i.i.d assumption in pattern recognition (or classification), aiming to make existing learning algorithms applicable to a wider range of tasks. Pattern recognition is guessing a discrete…

Machine Learning · Computer Science 2012-02-28 Daniil Ryabko

Conventional causal discovery methods rely on centralized data, which is inconsistent with the decentralized nature of data in many real-world situations. This discrepancy has motivated the development of federated causal discovery (FCD)…

Machine Learning · Computer Science 2024-02-28 Loka Li , Ignavier Ng , Gongxu Luo , Biwei Huang , Guangyi Chen , Tongliang Liu , Bin Gu , Kun Zhang

Causal discovery aims to infer causal relationships among variables from observational data, typically represented by a directed acyclic graph (DAG). Most existing methods assume independent and identically distributed observations, an…

Methodology · Statistics 2026-03-27 Alex Chen , Qing Zhou

An endeavor central to precision medicine is predictive biomarker discovery; they define patient subpopulations which stand to benefit most, or least, from a given treatment. The identification of these biomarkers is often the byproduct of…

Methodology · Statistics 2022-08-01 Philippe Boileau , Nina Ting Qi , Mark J. van der Laan , Sandrine Dudoit , Ning Leng

Computational phenotyping allows for unsupervised discovery of subgroups of patients as well as corresponding co-occurring medical conditions from electronic health records (EHR). Typically, EHR data contains demographic information,…

Machine Learning · Computer Science 2023-10-18 Florian Becker , Age K. Smilde , Evrim Acar

We present a system for anomaly detection in histopathological images. In histology, normal samples are usually abundant, whereas anomalous (pathological) cases are scarce or not available. Under such settings, one-class classifiers trained…

Computer Vision and Pattern Recognition · Computer Science 2024-01-10 Igor Zingman , Birgit Stierstorfer , Charlotte Lempp , Fabian Heinemann

Recent years have seen great advancements in the development of deep learning models for histopathology image analysis in digital pathology applications, evidenced by the increasingly common deployment of these models in both research and…

Image and Video Processing · Electrical Eng. & Systems 2022-08-09 Veena Kaustaban , Qinle Ba , Ipshita Bhattacharya , Nahil Sobh , Satarupa Mukherjee , Jim Martin , Mohammad Saleh Miri , Christoph Guetter , Amal Chaturvedi

We study the performance of Local Causal Discovery (LCD), a simple and efficient constraint-based method for causal discovery, in predicting causal effects in large-scale gene expression data. We construct practical estimators specific to…

Machine Learning · Statistics 2020-10-21 Philip Versteeg , Joris M. Mooij