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Machine learning (ML) models are increasingly being used in metrology applications. However, for ML models to be credible in a metrology context they should be accompanied by principled uncertainty quantification. This paper addresses the…

Machine Learning · Computer Science 2024-05-09 Andrew Thompson

A new statistical technique for constructing linear latent structure (LLS) models from available data, supported by well established theoretical results and an efficient algorithm, is presented. The method reduces the problem of estimating…

Statistics Theory · Mathematics 2007-06-13 I. Akushevich , M. Kovtun , A. I. Yashin , K. G. Manton

When analysing gene expression time series data an often overlooked but crucial aspect of the model is that the regulatory network structure may change over time. Whilst some approaches have addressed this problem previously in the…

Molecular Networks · Quantitative Biology 2012-03-05 Thomas Thorne , Michael P. H Stumpf

The Turing mechanism describes the emergence of spatial patterns due to spontaneous symmetry breaking in reaction-diffusion processes and underlies many developmental processes. Identifying Turing mechanisms in biological systems defines a…

Machine Learning · Computer Science 2021-08-20 David Schnörr , Christoph Schnörr

This paper develops an approach for multi-step forecasting of dynamical systems by integrating probabilistic input forecasting with physics-informed output prediction. Accurate multi-step forecasting of time series systems is important for…

Machine Learning · Statistics 2026-01-13 Mahdi Nasiri , Johanna Kortelainen , Simo Särkkä

We develop methodology allowing to simulate a stationary functional time series defined by means of its spectral density operators. Our framework is general, in that it encompasses any such stationary functional time series, whether linear…

Methodology · Statistics 2020-07-17 Tomáš Rubín , Victor M. Panaretos

We consider the problem of retraining machine learning (ML) models when new batches of data become available. Existing approaches greedily optimize for predictive power independently at each batch, without considering the stability of the…

Machine Learning · Computer Science 2025-02-05 Dimitris Bertsimas , Vassilis Digalakis , Yu Ma , Phevos Paschalidis

Dynamical systems modeling, particularly via systems of ordinary differential equations, has been used to effectively capture the temporal behavior of different biochemical components in signal transduction networks. Despite the recent…

Quantitative Methods · Quantitative Biology 2023-01-06 Nathaniel J. Linden , Boris Kramer , Padmini Rangamani

Natural language is an intuitive way for humans to communicate tasks to a robot. While natural language (NL) is ambiguous, real world tasks and their safety requirements need to be communicated unambiguously. Signal Temporal Logic (STL) is…

Formal Languages and Automata Theory · Computer Science 2022-07-05 Sara Mohammadinejad , Jesse Thomason , Jyotirmoy V. Deshmukh

Signal Temporal Logic (STL) is a powerful specification language for describing complex temporal behaviors of continuous signals, making it well-suited for high-level robotic task descriptions. However, generating executable plans for STL…

Robotics · Computer Science 2025-10-28 Ruijia Liu , Ancheng Hou , Xiao Yu , Xiang Yin

Interest in the study of in-host microbial communities has increased in recent years due to our improved understanding of the communities' significant role in host health. As a result, the ability to model these communities using…

Quantitative Methods · Quantitative Biology 2015-09-24 Matthias Chung , Justin Krueger , Mihai Pop

Complex mathematical models of interaction networks are routinely used for prediction in systems biology. However, it is difficult to reconcile network complexities with a formal understanding of their behavior. Here, we propose a simple…

Biological Physics · Physics 2017-11-22 Félix Proulx-Giraldeau , Thomas J. Rademaker , Paul François

The new paradigm of test-time scaling has yielded remarkable breakthroughs in Large Language Models (LLMs) (e.g. reasoning models) and in generative vision models, allowing models to allocate additional computation during inference to…

Machine Learning · Computer Science 2025-08-14 Luca Eyring , Shyamgopal Karthik , Alexey Dosovitskiy , Nataniel Ruiz , Zeynep Akata

Self-regulatory models are common in nature, as described e.g. in (\cite{mur}), (\cite{ha}) and (\cite{Gb}).\\ Let us consider a system made up of a number of glands as a motivation. Each gland secretes a hormone that allows secretion in…

Dynamical Systems · Mathematics 2016-10-28 Pablo Amster , Carlos Alliera

This study introduces a low-complexity behavioural model to describe the dynamic response of railway turnouts due to the ballast and railpad components. The behavioural model should serve as the basis for the future development of a…

Systems and Control · Electrical Eng. & Systems 2019-10-16 Pegah Barkhordari , Roberto Galeazzi , Alejandro de Miguel Tejada , Ilmar F. Santos

Homeostasis is a regulatory mechanism that keeps a specific variable close to a set value as other variables fluctuate. The notion of homeostasis can be rigorously formulated when the model of interest is represented as an input-output…

Many scientific and economic problems involve the analysis of high-dimensional time series datasets. However, theoretical studies in high-dimensional statistics to date rely primarily on the assumption of independent and identically…

Statistics Theory · Mathematics 2015-07-31 Sumanta Basu , George Michailidis

Real-time and human-interpretable decision-making in cyber-physical systems is a significant but challenging task, which usually requires predictions of possible future events from limited data. In this paper, we introduce a…

Machine Learning · Computer Science 2021-12-30 Erfan Aasi , Mingyu Cai , Cristian Ioan Vasile , Calin Belta

Effectively translating between natural language (NL) and formal logics like Linear Temporal Logic (LTL) requires expertise that limits formal verification's reach in safety-critical development. Template-based approaches sacrifice…

Artificial Intelligence · Computer Science 2026-05-25 Paapa Kwesi Quansah , Ernest Bonnah

Machine learning methods trained on raw numerical time series data exhibit fundamental limitations such as a high sensitivity to the hyper parameters and even to the initialization of random weights. A combination of a recurrent neural…

Machine Learning · Computer Science 2020-03-13 Steven Elsworth , Stefan Güttel
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