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Mechanical metamaterials represent an innovative class of artificial structures, distinguished by their extraordinary mechanical characteristics, which are beyond the scope of traditional natural materials. The use of deep generative models…

Signal Processing · Electrical Eng. & Systems 2024-07-31 Zihan Wang , Anindya Bhaduri , Hongyi Xu , Liping Wang

Due to the significant process variations, designers have to optimize the statistical performance distribution of nano-scale IC design in most cases. This problem has been investigated for decades under the formulation of stochastic…

Computational Engineering, Finance, and Science · Computer Science 2023-08-17 Yifan Pan , Zichang He , Nanlin Guo , Zheng Zhang

Past research relates design creativity to 'divergent thinking,' i.e., how well the concept space is explored during the early phase of design. Researchers have argued that generating several concepts would increase the chances of producing…

Computation and Language · Computer Science 2024-08-02 Anubhab Majumder , Ujjwal Pal , Amaresh Chakrabarti

Model-based process design and operation involves here-and-now and wait-and-see decisions. Here-and-now decisions include design variables like the size of heat exchangers or the height of distillation columns, whereas wait-and-see…

This paper deals with nonlinear mechanics of an elevator brake system subjected to uncertainties. A deterministic model that relates the braking force with uncertain parameters is deduced from mechanical equilibrium conditions. In order to…

Computational Engineering, Finance, and Science · Computer Science 2024-09-30 Piotr Wolszczak , Pawel Lonkwic , Americo Cunha , Grzegorz Litak , Szymon Molski

In this paper we consider regression problems subject to arbitrary noise in the operator or design matrix. This characterization appropriately models many physical phenomena with uncertainty in the regressors. Although the problem has been…

Computation · Statistics 2021-04-08 Richard J Clancy , Stephen Becker

This paper introduces a scalable approach for probabilistic top-k similarity ranking on uncertain vector data. Each uncertain object is represented by a set of vector instances that are assumed to be mutually-exclusive. The objective is to…

Databases · Computer Science 2009-07-17 Thomas Bernecker , Hans-Peter Kriegel , Nikos Mamoulis , Matthias Renz , Andreas Zuefle

Survival models are used in various fields, such as the development of cancer treatment protocols. Although many statistical and machine learning models have been proposed to achieve accurate survival predictions, little attention has been…

Machine Learning · Computer Science 2020-03-26 Hrushikesh Loya , Pranav Poduval , Deepak Anand , Neeraj Kumar , Amit Sethi

This paper presents a computational framework for the robust stiffness design of hyperelastic structures at finite deformations subject to various uncertain sources. In particular, the loading, material properties, and geometry…

Computational Engineering, Finance, and Science · Computer Science 2025-01-28 Nan Feng , Guodong Zhang , Kapil Khandelwal

Influence diagrams are widely employed to represent multi-stage decision problems in which each decision is a choice from a discrete set of alternatives, uncertain chance events have discrete outcomes, and prior decisions may influence the…

Optimization and Control · Mathematics 2022-01-20 Ahti Salo , Juho Andelmin , Fabricio Oliveira

This work contributes to a compositional theory of "co-design" that allows to optimally design a robotic platform. In this framework, the user describes each subsystem as a monotone relation between "functionality" provided and "resources"…

Robotics · Computer Science 2017-02-27 Andrea Censi

We study a class of stochastic optimal design problems for elliptic partial differential equations in divergence form, where the coefficients represent mixtures of two conducting materials. The objective is to minimize a generalized risk…

Optimization and Control · Mathematics 2026-02-24 Amal Alphonse , Petar Kunštek , Marko Vrdoljak

Controlling the dispersion of a subset of decision variables in an optimization problem is crucial for enforcing fairness or load-balancing across a wide range of applications. Building on the well-known equivalence of finite-dimensional…

Optimization and Control · Mathematics 2026-05-15 Abhay Singh Bhadoriya , Deepjyoti Deka , Kaarthik Sundar

Uncertainty quantification is a primary challenge for reliable modeling and simulation of complex stochastic dynamics. Such problems are typically plagued with incomplete information that may enter as uncertainty in the model parameters, or…

Probability · Mathematics 2015-07-15 Paul Dupuis , Markos A. Katsoulakis , Yannis Pantazis , Petr Plechac

We present a framework which incorporates three aspects of the estimation problem, namely, sparse sensor configuration, optimal precision, and robustness in the presence of model uncertainty. The problem is formulated in the…

Systems and Control · Electrical Eng. & Systems 2020-09-07 Vedang M. Deshpande , Raktim Bhattacharya

In recent years, the need for neutral benchmark studies that focus on the comparison of methods from computational sciences has been increasingly recognised by the scientific community. While general advice on the design and analysis of…

Within an industrial manufacturing process, tolerancing is a key player. The dimensions uncertainties management starts during the design phase, with an assessment on variability of parts not yet produced. For one assembly step, we can gain…

Applications · Statistics 2019-12-20 Ambre Diet , Nicolas Couellan , Xavier Gendre , Julien Martin

The multiple extension problem arises frequently in diagnostic and default inference. That is, we can often use any of a number of sets of defaults or possible hypotheses to explain observations or make Predictions. In default inference,…

Artificial Intelligence · Computer Science 2013-04-11 Eric Neufeld , David L Poole

In this paper we study a rational inattention model in environments where the decision maker faces uncertainty about the true prior distribution over states. The decision maker seeks to select a stochastic choice rule over a finite set of…

Theoretical Economics · Economics 2023-05-08 Emerson Melo

Taking uncertainty into account is crucial when making strategic decisions. To guard against the risk of adverse scenarios, traditional optimisation techniques incorporate uncertainty on the basis of prior knowledge on its distribution. In…

Optimization and Control · Mathematics 2022-12-06 Julien Vaes , Vassilis M. Charitopoulos