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Derivative-free optimization (DFO) is the mathematical study of the optimization algorithms that do not use derivatives. One branch of DFO focuses on model-based DFO methods, where an approximation of the objective function is used to guide…

Numerical Analysis · Mathematics 2016-12-16 Warren Hare

This paper provides lower bounds on the convergence rate of Derivative Free Optimization (DFO) with noisy function evaluations, exposing a fundamental and unavoidable gap between the performance of algorithms with access to gradients and…

Machine Learning · Statistics 2012-09-13 Kevin G. Jamieson , Robert D. Nowak , Benjamin Recht

We develop a new approximation theory for linear and quadratic interpolation models, suitable for use in convex-constrained derivative-free optimization (DFO). Most existing model-based DFO methods for constrained problems assume the…

Optimization and Control · Mathematics 2024-03-25 Lindon Roberts

We consider model-based derivative-free optimization (DFO) for large-scale problems, based on iterative minimization in random subspaces. We provide the first worst-case complexity bound for such methods for convergence to approximate…

Optimization and Control · Mathematics 2024-12-20 Coralia Cartis , Lindon Roberts

We develop a class of models with which we simulate the assembly of particles into T1 capsid-like objects using Newtonian dynamics. By simulating assembly for many different values of system parameters, we vary the forces that drive…

Biomolecules · Quantitative Biology 2009-11-11 Michael F. Hagan , David Chandler

Gradient-based methods are well-suited for derivative-free optimization (DFO), where finite-difference (FD) estimates are commonly used as gradient surrogates. Traditional stochastic approximation methods, such as Kiefer-Wolfowitz (KW) and…

Optimization and Control · Mathematics 2025-03-03 Guo Liang , Guangwu Liu , Kun Zhang

Derivative-free optimization (DFO) has recently gained a lot of momentum in machine learning, spawning interest in the community to design faster methods for problems where gradients are not accessible. While some attention has been given…

Optimization and Control · Mathematics 2020-08-04 Yuwen Chen , Antonio Orvieto , Aurelien Lucchi

I present a review of the theoretical and computational methodologies that have been used to model the assembly of viral capsids. I discuss the capabilities and limitations of approaches ranging from equilibrium continuum theories to…

Biomolecules · Quantitative Biology 2013-01-09 Michael F. Hagan

Learning from human demonstrations can facilitate automation but is risky because the execution of the learned policy might lead to collisions and other failures. Adding explicit constraints to avoid unsafe states is generally not possible…

Robotics · Computer Science 2018-10-17 Jonathan Lee , Michael Laskey , Roy Fox , Ken Goldberg

In material science, models are derived to predict emergent material properties (e.g. elasticity, strength, conductivity) and their relations to processing conditions. A major drawback is the calibration of model parameters that depend on…

Neural and Evolutionary Computing · Computer Science 2021-11-22 Gabriel Kronberger , Evgeniya Kabliman , Johannes Kronsteiner , Michael Kommenda

Derivative-free optimization (DFO) consists in finding the best value of an objective function without relying on derivatives. To tackle such problems, one may build approximate derivatives, using for instance finite-difference estimates.…

Optimization and Control · Mathematics 2024-06-04 Clément W. Royer , Oumaima Sohab , Luis Nunes Vicente

Reliability-based design optimization (RBDO) provides a rational and sound framework for finding the optimal design while taking uncertainties into ac-count. The main issue in implementing RBDO methods, particularly stochastic simu-lation…

Applications · Statistics 2020-03-03 Wang-Sheng Liu , Sai Hung Cheung

We present a generic computational framework for the simulation of viral capsid assembly which is quantitative and specific. Starting from PDB files containing atomic coordinates, the algorithm builds a coarse grained description of protein…

Quantitative Methods · Quantitative Biology 2009-11-13 Martin Hemberg , Sophia N. Yaliraki , Mauricio Barahona

A series of simulations aimed at elucidating the self-assembly dynamics of spherical virus capsids is described. This little-understood phenomenon is a fascinating example of the complex processes that occur in the simplest of organisms.…

Soft Condensed Matter · Physics 2015-05-19 D. C. Rapaport

In this work, an assessment of the CALPHAD method trained on only density functional theory (DFT) data is performed for the Li-Si binary system, as a case study. Using a parameter sampling approach based on the Bayesian Error Estimation…

Materials Science · Physics 2020-03-31 Ying Yuan , Gregory Houchins , Pin-Wen Guan , Venkatasubramanian Viswanathan

We develop coarse-grained models that describe the dynamic encapsidation of functionalized nanoparticles by viral capsid proteins. We find that some forms of cooperative interactions between protein subunits and nanoparticles can…

Biomolecules · Quantitative Biology 2009-11-13 Michael F. Hagan

Robotic fabric manipulation is challenging due to the infinite dimensional configuration space, self-occlusion, and complex dynamics of fabrics. There has been significant prior work on learning policies for specific deformable manipulation…

Bayesian conformal optimisation methods often use the same held-out data both to search for efficient prediction sets and to certify coverage or risk. This coupling is natural for high-probability risk-control guarantees, but it is not…

Machine Learning · Computer Science 2026-05-19 Fanyi Wu , Lihua Niu , Samuel Kaski , Michele Caprio

Fitting a theoretical model to experimental data in a Bayesian manner using Markov chain Monte Carlo typically requires one to evaluate the model thousands (or millions) of times. When the model is a slow-to-compute physics simulation,…

Machine Learning · Statistics 2022-08-25 Steven Stetzler , Michael Grosskopf , Earl Lawrence

Efficient planning of assembly motions is a long standing challenge in the field of robotics that has been primarily tackled with reinforcement learning and sampling-based methods by using extensive physics simulations. This paper proposes…

Robotics · Computer Science 2026-02-02 Christian Dietz , Sebastian Albrecht , Gianluca Frison , Moritz Diehl , Armin Nurkanović
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