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A growing family of approaches to causal inference rely on Bayesian formulations of assumptions that go beyond causal graph structure. For example, Bayesian approaches have been developed for analyzing instrumental variable designs,…

Machine Learning · Computer Science 2022-11-01 Sam Witty , David Jensen , Vikash Mansinghka

Assessment of replicability is critical to ensure the quality and rigor of scientific research. In this paper, we discuss inference and modeling principles for replicability assessment. Targeting distinct application scenarios, we propose…

Methodology · Statistics 2021-05-11 Yi Zhao , Xiaoquan Wen

In an era where biometric security serves as a keystone of modern identity verification systems, ensuring the authenticity of these biometric samples is paramount. Liveness detection, the capability to differentiate between genuine and…

Computer Vision and Pattern Recognition · Computer Science 2024-01-30 Oleksandr Kuznetsov , Dmytro Zakharov , Emanuele Frontoni , Andrea Maranesi , Serhii Bohucharskyi

Ultrasound for microstructure characterisation is increasingly studied and is often assessed through inversion performance. However, the framework is fundamentally constrained by the information content available in the measured response.…

Applied Physics · Physics 2026-05-14 Wei Yi Yeoh

We study the robustness of system estimation to parametric perturbations in system dynamics and initial conditions. We define the problem of sensitivity-based parametric uncertainty quantification in dynamical system estimation. The main…

Systems and Control · Electrical Eng. & Systems 2025-09-09 Ayush Pandey

Information geometry provides a tool to systematically investigate parameter sensitivity of the state of a system. If a physical system is described by a linear combination of eigenstates of a complex (that is, non-Hermitian) Hamiltonian,…

Quantum Physics · Physics 2013-08-26 Dorje C. Brody , Eva-Maria Graefe

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

Discovering valuable insights from data through meaningful associations is a crucial task. However, it becomes challenging when trying to identify representative patterns in quantitative databases, especially with large datasets, as…

Databases · Computer Science 2024-10-31 Lamine Diop , Marc Plantevit

Information theory is a powerful framework for quantifying complexity, uncertainty, and dynamical structure in time-series data, with widespread applicability across disciplines such as physics, finance, and neuroscience. However, the…

Information Theory · Computer Science 2026-01-26 Annie G. Bryant , Oliver M. Cliff , James M. Shine , Ben D. Fulcher , Joseph T. Lizier

System identification from the experimental data plays a vital role for model based controller design. Derivation of process model from first principles is often difficult due to its complexity. The first stage in the development of any…

Artificial Intelligence · Computer Science 2012-08-07 N. S. Bhuvaneswari , R. Praveena , R. Divya

A central challenge in many areas of science and engineering is to identify model parameters that are consistent with prior knowledge and empirical data. Bayesian inference offers a principled framework for this task, but can be…

Parameter identifiability is a structural property of an ODE model for recovering the values of parameters from the data (i.e., from the input and output variables). This property is a prerequisite for meaningful parameter identification in…

Systems and Control · Electrical Eng. & Systems 2021-06-07 Alexey Ovchinnikov , Anand Pillay , Gleb Pogudin , Thomas Scanlon

Multiscale modeling of complex systems is crucial for understanding their intricacies. Data-driven multiscale modeling has emerged as a promising approach to tackle challenges associated with complex systems. On the other hand,…

Machine Learning · Computer Science 2024-03-26 Ruyi Tao , Ningning Tao , Yi-zhuang You , Jiang Zhang

Complex phenomena in engineering and the sciences are often modeled with computationally intensive feed-forward simulations for which a tractable analytic likelihood does not exist. In these cases, it is sometimes necessary to estimate an…

Methodology · Statistics 2020-06-18 Niccolò Dalmasso , Ann B. Lee , Rafael Izbicki , Taylor Pospisil , Ilmun Kim , Chieh-An Lin

Uniform and smooth data collection is often infeasible in real-world scenarios. In this paper, we propose an identification framework to effectively handle the so-called non-uniform observations, i.e., data scenarios that include missing…

Systems and Control · Electrical Eng. & Systems 2025-06-09 Cesare Donati , Martina Mammarella , Fabrizio Dabbene , Carlo Novara , Constantino Lagoa

This article introduces the groundbreaking concept of the financial differential machine learning algorithm through a rigorous mathematical framework. Diverging from existing literature on financial machine learning, the work highlights the…

Mathematical Finance · Quantitative Finance 2024-05-03 Pedro Duarte Gomes

This paper presents a kernel-based framework for physics-informed nonlinear system identification. The key contribution is a structured methodology that extends kernel-based techniques to seamlessly embed partially known physics-based…

Systems and Control · Electrical Eng. & Systems 2025-10-20 Cesare Donati , Martina Mammarella , Giuseppe C. Calafiore , Fabrizio Dabbene , Constantino Lagoa , Carlo Novara

The dynamics of systems biological processes are usually modeled by a system of ordinary differential equations (ODEs) with many unknown parameters that need to be inferred from noisy and sparse measurements. Here, we introduce…

Quantitative Methods · Quantitative Biology 2022-02-04 Mitchell Daneker , Zhen Zhang , George Em Karniadakis , Lu Lu

Model compression is vital to the deployment of deep learning on edge devices. Low precision representations, achieved via quantization of weights and activations, can reduce inference time and memory requirements. However, quantifying and…

Machine Learning · Computer Science 2022-10-18 Ben Zandonati , Adrian Alan Pol , Maurizio Pierini , Olya Sirkin , Tal Kopetz

In this paper, we propose a unified framework for identifying interpretable nonlinear dynamical models that preserve physical properties. The proposed approach integrates physical principles with black-box basis functions to compensate for…

Systems and Control · Electrical Eng. & Systems 2025-06-10 Cesare Donati , Martina Mammarella , Fabrizio Dabbene , Carlo Novara , Constantino Lagoa
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