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Recent ODE/SDE-based generative models, such as diffusion models, rectified flows, and flow matching, define a generative process as a time reversal of a fixed forward process. Even though these models show impressive performance on…

Machine Learning · Computer Science 2023-05-26 Sangyun Lee , Beomsu Kim , Jong Chul Ye

For a graph class $\Pi$, the $\Pi$-Vertex Deletion problem has as input an undirected graph $G=(V,E)$ and an integer $k$ and asks whether there is a set of at most $k$ vertices that can be deleted from $G$ such that the resulting graph is a…

Data Structures and Algorithms · Computer Science 2016-05-18 Christian Komusiewicz

We consider the classical gradient descent algorithm with constant stepsizes, where some error is introduced in the computation of each gradient. More specifically, we assume some relative bound on the inexactness, in the sense that the…

Optimization and Control · Mathematics 2025-09-12 Pierre Vernimmen , François Glineur

Reachable set computation is an important tool for analyzing control systems. Simulating a control system can show general trends, but a formal tool like reachability analysis can provide guarantees of correctness. Reachability analysis for…

Systems and Control · Electrical Eng. & Systems 2025-05-07 Chelsea Sidrane , Jana Tumova

We consider optimization methods for convex minimization problems under inexact information on the objective function. We introduce inexact model of the objective, which as a particular cases includes $(\delta,L)$ inexact oracle and…

In a task where many similar inverse problems must be solved, evaluating costly simulations is impractical. Therefore, replacing the model $y$ with a surrogate model $y_s$ that can be evaluated quickly leads to a significant speedup. The…

Numerical Analysis · Mathematics 2024-05-15 Phillip Semler , Martin Weiser

Rotation estimation of known rigid objects is important for robotic applications such as dexterous manipulation. Most existing methods for rotation estimation use intermediate representations such as templates, global or local feature…

Computer Vision and Pattern Recognition · Computer Science 2018-12-04 Ge Gao , Mikko Lauri , Jianwei Zhang , Simone Frintrop

The ability to plan actions on multiple levels of abstraction enables intelligent agents to solve complex tasks effectively. However, learning the models for both low and high-level planning from demonstrations has proven challenging,…

Artificial Intelligence · Computer Science 2023-05-30 Kalle Kujanpää , Joni Pajarinen , Alexander Ilin

This study introduces a novel transformer model optimized for large-scale point cloud processing in scientific domains such as high-energy physics (HEP) and astrophysics. Addressing the limitations of graph neural networks and standard…

Machine Learning · Computer Science 2024-06-06 Siqi Miao , Zhiyuan Lu , Mia Liu , Javier Duarte , Pan Li

Aligning partially overlapping point sets where there is no prior information about the value of the transformation is a challenging problem in computer vision. To achieve this goal, we first reduce the objective of the robust point…

Computer Vision and Pattern Recognition · Computer Science 2020-07-07 Wei Lian , WangMeng Zuo , Lei Zhang

The robustness of image classifiers is essential to their deployment in the real world. The ability to assess this resilience to manipulations or deviations from the training data is thus crucial. These modifications have traditionally…

Computer Vision and Pattern Recognition · Computer Science 2024-01-09 Peter Ebert Christensen , Vésteinn Snæbjarnarson , Andrea Dittadi , Serge Belongie , Sagie Benaim

Generative models frequently suffer miscalibration, wherein statistics of the sampling distribution, such as the fraction of generations in a given class, deviate from desired values. We frame calibration as a constrained optimization…

Machine Learning · Statistics 2026-05-29 Henry D. Smith , Nathaniel L. Diamant , Brian L. Trippe

Modern simulation-based inference techniques use neural networks to solve inverse problems efficiently. One notable strategy is neural posterior estimation (NPE), wherein a neural network parameterizes a distribution to approximate the…

Instrumentation and Methods for Astrophysics · Physics 2024-03-06 Alex Kolmus , Justin Janquart , Tomasz Baka , Twan van Laarhoven , Chris Van Den Broeck , Tom Heskes

Recently, there has been a growing attention in image generation models. However, concerns have emerged regarding potential misuse and intellectual property (IP) infringement associated with these models. Therefore, it is necessary to…

Computer Vision and Pattern Recognition · Computer Science 2023-05-31 Zhenting Wang , Chen Chen , Yi Zeng , Lingjuan Lyu , Shiqing Ma

We consider variants of a recently-developed Newton-CG algorithm for nonconvex problems \citep{royer2018newton} in which inexact estimates of the gradient and the Hessian information are used for various steps. Under certain conditions on…

Optimization and Control · Mathematics 2022-04-12 Zhewei Yao , Peng Xu , Fred Roosta , Stephen J. Wright , Michael W. Mahoney

Generative models are known to be difficult to assess. Recent works, especially on generative adversarial networks (GANs), produce good visual samples of varied categories of images. However, the validation of their quality is still…

Machine Learning · Computer Science 2019-09-25 Timothée Lesort , Andrei Stoain , Jean-François Goudou , David Filliat

Recent advances in generative models trained on large-scale datasets have made it possible to synthesize high-quality samples across various domains. Moreover, the emergence of strong inversion networks enables not only a reconstruction of…

Computer Vision and Pattern Recognition · Computer Science 2024-05-17 Juwon Seo , Sung-Hoon Lee , Tae-Young Lee , Seungjun Moon , Gyeong-Moon Park

Vision Transformers (ViTs) achieve state-of-the-art performance on challenging vision tasks, but their deployment on edge devices is severely hindered by the computational complexity and global reduction bottleneck imposed by layer…

Computer Vision and Pattern Recognition · Computer Science 2026-05-15 Kieran Carrigg , Sigur de Vries , Amirhossein Sadough , Marcel van Gerven

We propose a novel solution framework for inverse mixed-integer optimization based on analytic center concepts from interior point methods. We characterize the optimality gap of a given solution, provide structural results, and propose…

Optimization and Control · Mathematics 2025-04-08 Samir Elhedhli , Göksu Ece Okur

We consider the problem of minimizing a convex function over the intersection of finitely many simple sets which are easy to project onto. This is an important problem arising in various domains such as machine learning. The main difficulty…

Optimization and Control · Mathematics 2017-10-19 Achintya Kundu , Francis Bach , Chiranjib Bhattacharyya