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Pattern formation in biological tissues plays an important role in the development of living organisms. Since the classical work of Alan Turing, a pre-eminent way of modelling has been through reaction-diffusion mechanisms. More recently,…

Analysis of PDEs · Mathematics 2023-01-27 Alexey Kazarnikov , Robert Scheichl , Heikki Haario , Anna Marciniak-Czochra

Calibrating mathematical models of biological processes is essential for achieving predictive accuracy and gaining mechanistic insight. However, this task remains challenging due to limited and noisy data, significant biological…

Quantitative Methods · Quantitative Biology 2025-12-04 Piotr Gwiazda , Alexey Kazarnikov , Anna Marciniak-Czochra , Zuzanna Szymańska

This paper uses model symmetries in the instrumental variable (IV) regression to derive an invariant test for the causal structural parameter. Contrary to popular belief, we show that there exist model symmetries when equation errors are…

Statistics Theory · Mathematics 2021-09-02 Marcelo J. Moreira , Mahrad Sharifvaghefi , Geert Ridder

Single-cell datasets often lack individual cell labels, making it challenging to identify cells associated with disease. To address this, we introduce Mixture Modeling for Multiple Instance Learning (MMIL), an expectation maximization…

Quantitative Methods · Quantitative Biology 2024-06-13 Erin Craig , Timothy Keyes , Jolanda Sarno , Maxim Zaslavsky , Garry Nolan , Kara Davis , Trevor Hastie , Robert Tibshirani

This paper illustrates a further application of topological data analysis to the study of self-organising models for chemical and biological systems. In particular, we investigate whether topological summaries can capture the parameter…

Quantitative Methods · Quantitative Biology 2024-10-01 Reemon Spector , Heather A. Harrington , Eamonn A. Gaffney

Class-incremental Learning (CIL) enables the model to incrementally absorb knowledge from new classes and build a generic classifier across all previously encountered classes. When the model optimizes with new classes, the knowledge of…

Computer Vision and Pattern Recognition · Computer Science 2025-03-31 Juncen Guo , Xiaoguang Zhu , Liangyu Teng , Hao Yang , Jing Liu , Yang Liu , Liang Song

Often, experiments, observations or simulations generate large numbers of snapshots of the configurations of complex many-particle systems. It is important to find methods of extracting useful information from these ensembles of snapshots…

Soft Condensed Matter · Physics 2007-05-23 Scott Menor , Maria Kilfoil , M. F. Thorpe

Conditional imitation learning (CIL) trains deep neural networks, in an end-to-end manner, to mimic human driving. This approach has demonstrated suitable vehicle control when following roads, avoiding obstacles, or taking specific turns at…

Robotics · Computer Science 2022-11-22 Hesham M. Eraqi , Mohamed N. Moustafa , Jens Honer

Micromechanical constitutive parameters are important for many engineering materials, typically in microelectronic applications and material design. Their accurate identification poses a three-fold experimental challenge: (i) deformation of…

Soft Condensed Matter · Physics 2023-02-08 O. Rokoš , R. H. J. Peerlings , J. P. M. Hoefnagels , M. G. D. Geers

Identifiability is a necessary condition for successful parameter estimation of dynamic system models. A major component of identifiability analysis is determining the identifiable parameter combinations, the functional forms for the…

Quantitative Methods · Quantitative Biology 2013-10-07 Marisa C. Eisenberg , Michael A. L. Hayashi

The acquisition of large-scale, precisely labeled datasets for person re-identification (ReID) poses a significant challenge. Weakly supervised ReID has begun to address this issue, although its performance lags behind fully supervised…

Computer Vision and Pattern Recognition · Computer Science 2024-02-13 Jacob Tyo , Zachary C. Lipton

Unmeasured covariates constitute one of the important problems in causal inference. Even if there are some unmeasured covariates, some instrumental variable methods such as a two-stage residual inclusion (2SRI) estimator, or a…

Methodology · Statistics 2021-12-30 Shunichiro Orihara

In this work, we introduce a new information-theoretic perspective on Multiple Instance Learning (MIL) for parameter estimation with i.i.d. data, and show that MIL can outperform single-instance learners in low-signal regimes. Prior work…

Machine Learning · Computer Science 2025-12-03 Atakan Azakli , Bernd Stelzer

Materials with heterogeneous structures exhibit complex physical processes such as delamination, cracks, and plasticity, which require micromechanical parameters for understanding. However, identifying these parameters is challenging due to…

Analysis of PDEs · Mathematics 2023-06-26 Liya Gaynutdinova , Ondřej Rokoš , Jan Havelka , Ivana Pultarová , Jan Zeman

We propose two approaches for selecting variables in latent class analysis (i.e.,mixture model assuming within component independence), which is the common model-based clustering method for mixed data. The first approach consists in…

Computation · Statistics 2017-03-08 Matthieu Marbac , Mohammed Sedki

Invariance learning methods aim to learn invariant features in the hope that they generalize under distributional shifts. Although many tasks are naturally characterized by continuous domains, current invariance learning techniques…

Machine Learning · Computer Science 2024-04-24 Yong Lin , Fan Zhou , Lu Tan , Lintao Ma , Jiameng Liu , Yansu He , Yuan Yuan , Yu Liu , James Zhang , Yujiu Yang , Hao Wang

This paper uses the invariance principle to solve the incidental parameter problem of [Econometrica 16 (1948) 1--32]. We seek group actions that preserve the structural parameter and yield a maximal invariant in the parameter space with…

Statistics Theory · Mathematics 2009-09-04 Marcelo J. Moreira

Cumulant mapping has been recently suggested [Frasinski, Phys. Chem. Chem. Phys. 24, 207767 (2022)] as an efficient approach to observing multi-particle fragmentation pathways, while bypassing the restrictions of the usual…

Chemical Physics · Physics 2025-04-11 S. Patchkovskii , J. Mikosch

Multiple instance learning (MIL) is often used in medical imaging to classify high-resolution 2D images by processing patches or classify 3D volumes by processing slices. However, conventional MIL approaches treat instances separately,…

Machine Learning · Computer Science 2025-11-13 Ethan Harvey , Dennis Johan Loevlie , Michael C. Hughes

Coulomb explosion imaging (CEI) is a powerful technique for capturing the real-time motion of individual atoms during ultrafast photochemical reactions. CEI generates high-dimensional data with naturally embedded correlations that allow…

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