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Simulation-based inference (SBI) methods tackle complex scientific models with challenging inverse problems. However, SBI models often face a significant hurdle due to their non-differentiable nature, which hampers the use of gradient-based…

Machine Learning · Computer Science 2023-06-29 Vincent D. Zaballa , Elliot E. Hui

Kriging-based surrogate models have become very popular during the last decades to approximate a computer code output from few simulations. In practical applications, it is very common to sequentially add new simulations to obtain more…

Statistics Theory · Mathematics 2012-10-31 Loic Le Gratiet , Claire Cannamela

Simulation-based inference (SBI) is a method to perform inference on a variety of complex scientific models with challenging inference (inverse) problems. Bayesian Optimal Experimental Design (BOED) aims to efficiently use experimental…

Machine Learning · Statistics 2025-02-13 Vincent D. Zaballa , Elliot E. Hui

In this experience report, we apply deep active learning to the field of design optimization to reduce the number of computationally expensive numerical simulations. We are interested in optimizing the design of structural components, where…

Machine Learning · Computer Science 2024-03-21 Jens Decke , Christian Gruhl , Lukas Rauch , Bernhard Sick

The cross-dock door design problem consists of deciding the strip and stack doors and nominal capacity of an entity under uncertainty. Inbound commodity flow from origin nodes is assigned to the strip doors, it is consolidated in the…

Optimization and Control · Mathematics 2025-06-03 Laureano F. Escudero , M. Araceli Garín , Aitziber Unzueta

Robust optimization(RO) is an important tool for handling optimization problem with uncertainty. The main objective of RO is to solve optimization problems due to uncertainty associated with constraints satisfying all realizations of…

Optimization and Control · Mathematics 2025-04-02 Parthasarathi Mondal , Akshay Kumar Ojha

In this work, we present a novel inner product design for stochastic computing. Stochastic computing is an emerging computing technique, that encodes a number in the probability of observing a one in a random bit stream. This leads to…

Emerging Technologies · Computer Science 2018-11-21 Werner Haselmayr , Daniel Wiesinger , Michael Lunglmayr

Optimization-based samplers such as randomize-then-optimize (RTO) [2] provide an efficient and parallellizable approach to solving large-scale Bayesian inverse problems. These methods solve randomly perturbed optimization problems to draw…

Computation · Statistics 2019-10-29 Johnathan Bardsley , Tiangang Cui , Youssef Marzouk , Zheng Wang

Topology design is a critical task for the reliability, economic operation, and resilience of distribution systems. This paper proposes a distributionally robust optimization (DRO) model for designing the topology of a new distribution…

Optimization and Control · Mathematics 2018-08-29 Sadra Babaei , Ruiwei Jiang , Chaoyue Zhao

Distributionally robust optimization (DRO) has been introduced for solving stochastic programs where the distribution of the random parameters is unknown and must be estimated by samples from that distribution. A key element of DRO is the…

Optimization and Control · Mathematics 2019-01-09 Xi Chen , Qihang Lin , Guanglin Xu

We propose the use of statistical emulators for the purpose of valuing mortality-linked contracts in stochastic mortality models. Such models typically require (nested) evaluation of expected values of nonlinear functionals of…

Statistical Finance · Quantitative Finance 2015-09-15 James Risk , Michael Ludkovski

This paper presents three new computational methods for calculating design sensitivities of statistical moments and reliability of high-dimensional complex systems subject to random input. The first method represents a novel integration of…

Numerical Analysis · Mathematics 2014-02-18 Sharif Rahman , Xuchun Ren

This article introduces a decentralized robust optimization framework for safe multi-agent control under uncertainty. Although stochastic noise has been the primary form of modeling uncertainty in such systems, these formulations might fall…

Optimization and Control · Mathematics 2025-08-19 Arshiya Taj Abdul , Augustinos D. Saravanos , Evangelos A. Theodorou

Robust optimization (RO) has emerged as one of the leading paradigms to efficiently model parameter uncertainty. The recent connections between RO and problems in statistics and machine learning domains demand for solving RO problems in…

Optimization and Control · Mathematics 2017-11-21 Nam Ho-Nguyen , Fatma Kilinc-Karzan

Optimal experimental design provides a way of determining a-priori the best locations at which to place accelerometers in vibrations analysis experiments. However, in practice, sensors often fail during experimentation due high mechanical…

Computational Engineering, Finance, and Science · Computer Science 2026-04-17 Rebekah White , Chandler Smith , Drew Kouri , Jace Ritchie , Wilkins Aquino , Timothy Walsh

We extend the single-stage stellarator coil design approach for quasi-symmetry on axis from [Giuliani et al, 2020] to additionally take into account coil manufacturing errors. By modeling coil errors independently from the coil…

Optimization and Control · Mathematics 2022-05-18 Florian Wechsung , Andrew Giuliani , Matt Landreman , Antoine Cerfon , Georg Stadler

Stochastic restoration algorithms allow to explore the space of solutions that correspond to the degraded input. In this paper we reveal additional fundamental advantages of stochastic methods over deterministic ones, which further motivate…

Image and Video Processing · Electrical Eng. & Systems 2024-05-21 Guy Ohayon , Theo Adrai , Michael Elad , Tomer Michaeli

The field of portfolio selection is an active research topic, which combines elements and methodologies from various fields, such as optimization, decision analysis, risk management, data science, forecasting, etc. The modeling and…

Portfolio Management · Quantitative Finance 2020-10-28 A. Georgantas

We study distributionally robust online learning, where a risk-averse learner updates decisions sequentially to guard against worst-case distributions drawn from a Wasserstein ambiguity set centered at past observations. While this paradigm…

Machine Learning · Computer Science 2026-02-25 Guixian Chen , Salar Fattahi , Soroosh Shafiee

In this paper we propose a framework towards achieving two intertwined objectives: (i) equipping reinforcement learning with active exploration and deliberate information gathering, such that it regulates state and parameter uncertainties…

Machine Learning · Computer Science 2024-09-10 Mohammad S. Ramadan , Mahmoud A. Hayajnh , Michael T. Tolley , Kyriakos G. Vamvoudakis