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A novel derivative-free algorithm, optimization by moving ridge functions (OMoRF), for unconstrained and bound-constrained optimization is presented. This algorithm couples trust region methodologies with output-based dimension reduction to…

Optimization and Control · Mathematics 2021-01-07 James C. Gross , Geoffrey T. Parks

We describe a family of descent algorithms which generalizes common existing schemes used in applications such as neural network training and more broadly for optimization of smooth functions--potentially for global optimization, or as a…

Optimization and Control · Mathematics 2023-09-21 Aikaterini Karoni , Benedict Leimkuhler , Gabriel Stoltz

This paper introduces a novel distributed optimization technique for networked systems, which removes the dependency on specific parameter choices, notably the learning rate. Traditional parameter selection strategies in distributed…

Optimization and Control · Mathematics 2024-04-23 Rodrigo Aldana-López , Alessandro Macchelli , Giuseppe Notarstefano , Rosario Aragüés , Carlos Sagüés

Addressing real-world optimization problems becomes particularly challenging when analytic objective functions or constraints are unavailable. While numerous studies have addressed the issue of unknown objectives, limited research has…

Diffusion models are among the most effective methods for image generation. This is in particular because, unlike GANs, they can be easily conditioned during training to produce elements with desired class or properties. However, guiding a…

Computer Vision and Pattern Recognition · Computer Science 2024-07-19 Mateusz Poleski , Jacek Tabor , Przemysław Spurek

Inverse protein folding generates valid amino acid sequences that can fold into a desired protein structure, with recent deep-learning advances showing strong potential and competitive performance. However, challenges remain, such as…

Biomolecules · Quantitative Biology 2025-07-29 Peizhen Bai , Filip Miljković , Xianyuan Liu , Leonardo De Maria , Rebecca Croasdale-Wood , Owen Rackham , Haiping Lu

Autonomous exploration in structured and complex indoor environments remains a challenging task, as existing methods often struggle to appropriately model unobserved space and plan globally efficient paths. To address these limitations, we…

Robotics · Computer Science 2026-03-06 Zijun Che , Yinghong Zhang , Shengyi Liang , Boyu Zhou , Jun Ma , Jinni Zhou

Shape optimization approaches to inverse design offer low-dimensional, physically-guided parameterizations of structures by representing them as combinations of shape primitives. However, on discretized rectilinear simulation grids,…

Computational Engineering, Finance, and Science · Computer Science 2023-11-13 Sean Hooten , Peng Sun , Liron Gantz , Marco Fiorentino , Raymond G. Beausoleil , Thomas Van Vaerenbergh

A structured version of derivative-free random pattern search optimization algorithms is introduced which is able to exploit coordinate partially separable structure (typically associated with sparsity) often present in unconstrained and…

Optimization and Control · Mathematics 2021-01-13 Margherita Porcelli , Philippe L. Toint

Global optimization problems whose objective function is expensive to evaluate can be solved effectively by recursively fitting a surrogate function to function samples and minimizing an acquisition function to generate new samples. The…

Machine Learning · Computer Science 2020-01-10 Alberto Bemporad

A tremendous range of design tasks in materials, physics, and biology can be formulated as finding the optimum of an objective function depending on many parameters without knowing its closed-form expression or the derivative. Traditional…

Machine Learning · Computer Science 2024-04-08 Ye Wei , Bo Peng , Ruiwen Xie , Yangtao Chen , Yu Qin , Peng Wen , Stefan Bauer , Po-Yen Tung

Planning with pretrained diffusion models has emerged as a promising approach for solving test-time guided control problems. Standard gradient guidance typically performs optimally under convex, differentiable reward landscapes. However, it…

Artificial Intelligence · Computer Science 2025-11-11 Hyeonseong Jeon , Cheolhong Min , Jaesik Park

Recent advances in generative modeling, namely Diffusion models, have revolutionized generative modeling, enabling high-quality image generation tailored to user needs. This paper proposes a framework for the generative design of structural…

We present a method to infer the arbitrary space-dependent drift and diffusion of a nonlinear stochastic model driven by multiplicative fractional Gaussian noise from a single trajectory. Our method, fractional Onsager-Machlup optimisation…

Adaptation and Self-Organizing Systems · Physics 2023-11-07 Johannes A. Kassel , Benjamin Walter , Holger Kantz

Guidance in conditional diffusion generation is of great importance for sample quality and controllability. However, existing guidance schemes are to be desired. On one hand, mainstream methods such as classifier guidance and…

Machine Learning · Computer Science 2023-10-18 Jiajun Ma , Tianyang Hu , Wenjia Wang , Jiacheng Sun

We consider continuous-time dynamics for distributed optimization with set constraints in the paper. To handle the computational complexity of projection-based dynamics due to solving a general quadratic optimization subproblem with…

Optimization and Control · Mathematics 2022-06-24 Guanpu Chen , Peng Yi , Yiguang Hong , Jie Chen

Reliable co-speech motion generation requires precise motion representation and consistent structural priors across all joints. Existing generative methods typically operate on local joint rotations, which are defined hierarchically based…

Computer Vision and Pattern Recognition · Computer Science 2026-01-07 Xiangyue Zhang , Jianfang Li , Jianqiang Ren , Jiaxu Zhang

Dynamic treatment regime (DTR) plays a critical role in precision medicine when assigning patient-specific treatments at multiple stages and optimizing a long term clinical outcome. However, most of existing work about DTRs have been…

Methodology · Statistics 2023-02-20 Chang Wang , Lu Wang

Coarse-grained (CG) models provide an effective route to reducing the complexity of molecular simulations (MD), but conventional approaches depend heavily on long all-atom MD trajectories to adequately sample configurational space. This…

Chemical Physics · Physics 2025-10-28 Maximilian Stupp , P. S. Koutsourelakis

Denoising diffusion models (DDMs) have recently attracted increasing attention by showing impressive synthesis quality. DDMs are built on a diffusion process that pushes data to the noise distribution and the models learn to denoise. In…

Machine Learning · Computer Science 2023-05-16 Jaemoo Choi , Yesom Park , Myungjoo Kang