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Ordinary Differential Equations are widespread tools to model chemical, physical, biological process but they usually rely on parameters which are of critical importance in terms of dynamic and need to be estimated directly from the data.…

Methodology · Statistics 2014-10-29 Nicolas Brunel , Quentin Clairon

We present the package SADE (Symmetry Analysis of Differential Equations) for the determination of symmetries and related properties of systems of differential equations. The main methods implemented are: Lie, nonclassical, Lie-B\"acklund…

Mathematical Physics · Physics 2015-05-18 Tarcí sio M. Rocha Filho , Annibal Figueiredo

Mechanistic dynamic models allow for a quantitative and systematic interpretation of data and the generation of testable hypotheses. However, these models are often over-parameterized, leading to non-identifiability and non-observability,…

Systems and Control · Electrical Eng. & Systems 2020-12-21 Gemma Massonis , Julio R. Banga , Alejandro F. Villaverde

Learning PDE dynamics from limited data with unknown physics is challenging. Existing neural PDE solvers either require large datasets or rely on known physics (e.g., PDE residuals or handcrafted stencils), leading to limited applicability.…

Machine Learning · Computer Science 2026-05-25 Han Wan , Rui Zhang , Hao Sun

Single-cell data integration can provide a comprehensive molecular view of cells, and many algorithms have been developed to remove unwanted technical or biological variations and integrate heterogeneous single-cell datasets. Despite their…

Quantitative Methods · Quantitative Biology 2024-03-04 Rong Ma , Eric D. Sun , David Donoho , James Zou

Recent years showed a strong increase in biomedical sciences and an inherent increase in publication volume. Extraction of specific information from these sources requires highly sophisticated text mining and information extraction tools.…

Computation and Language · Computer Science 2020-04-09 Johannes Kirschnick , Philippe Thomas , Roland Roller , Leonhard Hennig

Critical-infrastructure operators are increasingly expected to assess and remediate vulnerabilities in deployed industrial software. However, much of this software exists as opaque industrial software (OIS), including stripped firmware,…

Cryptography and Security · Computer Science 2026-05-20 Bowei Ning , Xuejun Zong , Lian Lian , Kan He , Guogang Wang , Yifei Sun , Jinyang Liu

Structural equation models comprise a large class of popular statistical models, including factor analysis models, certain mixed models, and extensions thereof. Model estimation is complicated by the fact that we typically have multiple…

Computation · Statistics 2022-03-18 Edgar C. Merkle , Ellen Fitzsimmons , James Uanhoro , Ben Goodrich

Chemical kinetics mechanisms are essential for understanding, analyzing, and simulating complex combustion phenomena. In this study, a Neural Ordinary Differential Equation (Neural ODE) framework is employed to optimize kinetics parameters…

Chemical Physics · Physics 2022-09-07 Xingyu Su , Weiqi Ji , Jian An , Zhuyin Ren , Sili Deng , Chung K. Law

Motivation: TiQuant is a modular software tool for efficient quantification of biological tissues based on volume data obtained by biomedical image modalities. It includes a number of versatile image and volume processing chains tailored to…

Computational Engineering, Finance, and Science · Computer Science 2014-10-20 Adrian Friebel , Johannes Neitsch , Tim Johann , Seddik Hammad , Jan G. Hengstler , Dirk Drasdo , Stefan Hoehme

We study the problem of streamlining reverse engineering (RE) of binary programs from unknown instruction set architectures (ISA). We focus on two fundamental ISA characteristics to beginning the RE process: identification of endianness and…

Cryptography and Security · Computer Science 2024-10-30 Joachim Andreassen , Donn Morrison

Privacy analysis is critical but also a time-consuming and tedious task. We present a formalization which eases designing and auditing high-level privacy properties of software architectures. It is incorporated into a larger policy analysis…

Cryptography and Security · Computer Science 2018-06-11 Marcel von Maltitz , Cornelius Diekmann , Georg Carle

Modern data analysis depends increasingly on estimating models via flexible high-dimensional or nonparametric machine learning methods, where the identification of structural parameters is often challenging and untestable. In linear…

Statistics Theory · Mathematics 2026-01-21 Andrii Babii , Jean-Pierre Florens

Artificial Intelligence frameworks should allow for ever more autonomous and general systems in contrast to very narrow and restricted (human pre-defined) domain systems, in analogy to how the brain works. Self-constructive Artificial…

Neural and Evolutionary Computing · Computer Science 2025-03-24 Fernando J. Corbacho

Most existing methods that address out-of-distribution (OOD) generalization for node classification on graphs primarily focus on a specific type of data biases, such as label selection bias or structural bias. However, anticipating the type…

Machine Learning · Computer Science 2023-11-07 Guoxin Chen , Yongqing Wang , Fangda Guo , Qinglang Guo , Jiangli Shao , Huawei Shen , Xueqi Cheng

Fairness in artificial intelligence (AI) prediction models is increasingly emphasized to support responsible adoption in high-stakes domains such as health care and criminal justice. Guidelines and implementation frameworks highlight the…

Machine Learning · Computer Science 2025-04-14 Yilin Ning , Yian Ma , Mingxuan Liu , Xin Li , Nan Liu

We summarize recent progress on the theory and applications of structural identifiability of compartmental models. On the applications side, we review identifiability analyses undertaken recently for models arising in epidemiology,…

Methodology · Statistics 2025-07-08 Nicolette Meshkat , Anne Shiu

Ordinary differential equation (ODE) is an important tool to study the dynamics of a system of biological and physical processes. A central question in ODE modeling is to infer the significance of individual regulatory effect of one signal…

Methodology · Statistics 2024-02-06 Xiaowu Dai , Lexin Li

When modelling time series, it is common to decompose observed variation into a "signal" process, the process of interest, and "noise", representing nuisance factors that obfuscate the signal. To separate signal from noise, assumptions must…

Methodology · Statistics 2020-11-11 Richard Creswell , Ben Lambert , Chon Lok Lei , Martin Robinson , David Gavaghan

Identifiability concerns finding which unknown parameters of a model can be estimated from given input-output data. If some subset of the parameters of a model cannot be determined given input-output data, then we say the model is…

Algebraic Geometry · Mathematics 2014-11-03 Nicolette Meshkat , Seth Sullivant , Marisa Eisenberg
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