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Predicting the evolution of a large system of units using its structure of interaction is a fundamental problem in complex system theory. And so is the problem of reconstructing the structure of interaction from temporal observations. Here,…

Statistical Mechanics · Physics 2025-02-10 Charles Murphy , Vincent Thibeault , Antoine Allard , Patrick Desrosiers

This paper investigates the problem of dynamical sampling for graph signals influenced by a constant source term. We consider signals evolving over time according to a linear dynamical system on a graph, where both the initial state and the…

Numerical Analysis · Mathematics 2025-09-23 Le Gong , Longxiu Huang

We propose a novel polyhedral uncertainty set for robust optimization, termed the smooth uncertainty set, which captures dependencies of uncertain parameters by constraining their pairwise differences. The bounds on these differences may be…

Optimization and Control · Mathematics 2025-10-13 Noam Goldberg , Michael Poss , Shimrit Shtern

This paper proposes a unified framework for designing robustness in optimization under uncertainty using gauge sets, convex sets that generalize distance and capture how distributions may deviate from a nominal reference. Representing…

Optimization and Control · Mathematics 2026-01-26 Ningji Wei , Xian Yu , Peter Zhang

Software systems are expansive, exhibiting behaviors characteristic of complex systems, such as self-organization and emergence. These systems, highlighted by advancements in Large Language Models (LLMs) and other AI applications developed…

Software Engineering · Computer Science 2025-04-01 Jan Žižka

This paper explores the identification and estimation of nonseparable panel data models. We show that the structural function is nonparametrically identified when it is strictly increasing in a scalar unobservable variable, the conditional…

Methodology · Statistics 2018-11-09 Takuya Ishihara

Robustness of linear systems with constant coefficients is considered. There exist methods and tools for analyzing the stability of systems with random or deterministic uncertainties. At the same time, there are no approaches for the…

Optimization and Control · Mathematics 2020-12-08 Andrey Tremba

Stochastic dynamical systems arise naturally across nearly all areas of science and engineering. Typically, a dynamical system model is based on some prior knowledge about the underlying dynamics of interest in which probabilistic features…

Computational Engineering, Finance, and Science · Computer Science 2021-09-03 Chao Yin , Xihaier Luo , Ahsan Kareem

This paper presents a new approach to distributed controller design that exploits a partial-structure representation of linear time invariant systems to characterize the structure of a system. This partial-structure representation, called…

Optimization and Control · Mathematics 2012-09-18 Anurag Rai , Sean Warnick

As the complexity and size of software projects increases in real-world environments, maintaining and creating maintainable and dependable code becomes harder and more costly. Refactoring is considered as a method for enhancing the internal…

Software Engineering · Computer Science 2018-11-27 Mohammad Raji

A network as a substrate for dynamic processes may have its own dynamics. We propose a model for networks which evolve together with diffusing particles through a coupled dynamics, and investigate emerging structural property. The model…

Statistical Mechanics · Physics 2009-11-10 Sang-Woo Kim , Jae Dong Noh

This paper addresses the issues of conservativeness and computational complexity of probabilistic robustness analysis. We solve both issues by defining a new sampling strategy and robustness measure. The new measure is shown to be much less…

Applications · Statistics 2008-05-12 Xinjia Chen , Kemin Zhou , Jorge L. Aravena

Often in Software Engineering, a modeling formalism has to support scenarios of inconsistency in which several requirements either reinforce or contradict each other. Paraconsistent transition systems are proposed in this paper as one such…

Logic in Computer Science · Computer Science 2023-03-24 Ana Cruz , Alexandre Madeira , LuÂ-Ã-s Soares Barbosa

We present a general model for the growth of weighted networks in which the structural growth is coupled with the edges' weight dynamical evolution. The model is based on a simple weight-driven dynamics and a weights' reinforcement…

Statistical Mechanics · Physics 2009-11-10 Alain Barrat , Marc Barthelemy , Alessandro Vespignani

Recent interest in the external validity of prediction models (i.e., the problem of different train and test distributions, known as dataset shift) has produced many methods for finding predictive distributions that are invariant to dataset…

Machine Learning · Statistics 2022-07-20 Adarsh Subbaswamy , Bryant Chen , Suchi Saria

Uncertainty estimation in machine learning has traditionally focused on the prediction stage, aiming to quantify confidence in model outputs while treating learned representations as deterministic and reliable by default. In this work, we…

Machine Learning · Statistics 2026-02-20 Yiyao Yang

Sampling-based methods, e.g., Deep Ensembles and Bayesian Neural Nets have become promising approaches to improve the quality of uncertainty estimation and robust generalization. However, they suffer from a large model size and high latency…

Machine Learning · Computer Science 2024-05-29 Ha Manh Bui , Anqi Liu

Probabilistic forecasting provides a principled framework for uncertainty quantification in dynamical systems by representing predictions as probability distributions rather than deterministic trajectories. However, existing forecasting…

Machine Learning · Statistics 2026-03-27 Tianlin Yang , Hailiang Du , Louis Aslett

One of the goals of software design is to model a system in such a way that it is easily understandable. Nowadays the tendency for software development is changing from manual coding to automatic code generation; it is becoming model-based.…

Software Engineering · Computer Science 2015-03-13 N Md Jubair basha , Salman Abdul Moiz , Mohammed Rizwanullah

We define a novel quantitative strategy inspired by the ecological notion of nestedness to single out the scale at which innovation complexity emerges from the aggregation of specialized building blocks. Our analysis not only suggests that…

General Economics · Economics 2019-09-13 Emanuele Pugliese , Lorenzo Napolitano , Matteo Chinazzi , Guido Chiarotti