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We consider the basic features of complex dynamical and control systems. Special attention is paid to the problems of synthesis of dynamical models of complex systems, construction of efficient control models, and to the development of…

Computational Engineering, Finance, and Science · Computer Science 2009-07-03 Armen Bagdasaryan

This study presents the approach to analyzing the evolution of an arbitrary complex system whose behavior is characterized by a set of different time-dependent factors. The key requirement for these factors is only that they must contain an…

Data Analysis, Statistics and Probability · Physics 2020-12-01 Anatolii V. Mokshin , Vladimir V. Mokshin , Diana A. Mirziyarova

Biologists and physicists have a rich tradition of modeling living systems with simple models composed of a few interacting components. Despite the remarkable success of this approach, it remains unclear how to use such finely tuned models…

Biological Physics · Physics 2025-09-05 Ilya Nemenman , Pankaj Mehta

Despite the flexibility and popularity of mixture models, their associated parameter spaces are often difficult to represent due to fundamental identification problems. This paper looks at a novel way of representing such a space for…

Methodology · Statistics 2015-10-16 Vahed Maroufy , Paul Marriott

Model selection is a strategy aimed at creating accurate and robust models. A key challenge in designing these algorithms is identifying the optimal model for classifying any particular input sample. This paper addresses this challenge and…

Machine Learning · Computer Science 2023-05-22 James Kotary , Vincenzo Di Vito , Ferdinando Fioretto

This paper describes valuation-based systems for representing and solving discrete optimization problems. In valuation-based systems, we represent information in an optimization problem using variables, sample spaces of variables, a set of…

Artificial Intelligence · Computer Science 2013-04-05 Prakash P. Shenoy , Glenn Shafer

Complementarity among species with different traits is one of the basic processes affecting biodiversity, defined as the number of species in the ecosystem. We present here a soluble model ecosystem in which the species are characterized by…

Disordered Systems and Neural Networks · Physics 2009-11-07 Viviane M. de Oliveira , J. F. Fontanari

Complex scheduling problems require a large amount computation power and innovative solution methods. The objective of this paper is the conception and implementation of a multi-agent system that is applicable in various problem domains.…

Multiagent Systems · Computer Science 2020-04-21 Peter Hillmann , Tobias Uhlig , Gabi Dreo Rodosek , Oliver Rose

Interpretable classification models are built with the purpose of providing a comprehensible description of the decision logic to an external oversight agent. When considered in isolation, a decision tree, a set of classification rules, or…

Machine Learning · Computer Science 2019-03-18 Riccardo Guidotti , Salvatore Ruggieri

The modeling of complex systems such as ecological or socio-economic systems can be very challenging. Although various modeling approaches exist, they are generally not compatible and mutually consistent, and empirical data often do not…

Physics and Society · Physics 2010-07-19 Dirk Helbing

We propose a decision-analytical approach to comparing the flexibility of decision situations from the perspective of a decision-maker who exhibits constant risk-aversion over a monetary value model. Our approach is simple yet seems to be…

Artificial Intelligence · Computer Science 2013-02-18 Ross D. Shachter , Marvin Mandelbaum

Recent years have seen an increased level of interest in pricing equity options under a stochastic volatility model such as the Heston model. Often, simulating a Heston model is difficult, as a standard finite difference scheme may lead to…

Computational Finance · Quantitative Finance 2011-11-28 Ian Iscoe , Asif Lakhany

We propose a tractable unified framework to study the evolution and interaction of model-misspecification concerns and complexity aversion in repeated decision problems. This aims to capture environments where decision makers worry that…

Theoretical Economics · Economics 2026-02-18 Drew Fudenberg , Florian Mudekereza

We propose a (seemingly) new computationally tractable model for multi-stage decision making under stochastic uncertainty.

Optimization and Control · Mathematics 2019-12-10 Arkadi Nemirovski

Optimizing decision problems under uncertainty can be done using a variety of solution methods. Soft computing and heuristic approaches tend to be powerful for solving such problems. In this overview article, we survey Evolutionary…

Neural and Evolutionary Computing · Computer Science 2014-01-21 Ronald Hochreiter

Simulation has become the evaluation method of choice for many areas of distributing computing research. However, most existing simulation packages have several limitations on the size and complexity of the system being modeled. Fine…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-07-01 Dobre Ciprian , Cristea Valentin , Iosif C. Legrand

In this article, we introduce a new variable selection technique through trimming for finite mixture of regression models. Compared to the traditional variable selection techniques, the new method is robust and not sensitive to outliers.…

Methodology · Statistics 2019-05-06 Sijia Xiang , Weixin Yao

Smart grid technological advances present a recent class of complex interdisciplinary modeling and increasingly difficult simulation problems to solve using traditional computational methods. To simulate a smart grid requires a systemic…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-26 Sofiane Ben Amor , Guillaume Guerard , Loup-Noé Levy

This paper discusses and summarizes some results on complex variables that are very useful in fractional-order systems analysis and design, specifically when the system is analyzed in the frequency domain. The author hopes that this…

Signal Processing · Electrical Eng. & Systems 2026-03-26 Emmanuel A. Gonzalez

Variance reduction is a family of powerful mechanisms for stochastic optimization that appears to be helpful in many machine learning tasks. It is based on estimating the exact gradient with some recursive sequences. Previously, many papers…

Optimization and Control · Mathematics 2025-11-07 Aleksandr Shestakov , Valery Parfenov , Aleksandr Beznosikov