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Algorithm unrolling has emerged as a learning-based optimization paradigm that unfolds truncated iterative algorithms in trainable neural-network optimizers. We introduce Stochastic UnRolled Federated learning (SURF), a method that expands…

Machine Learning · Computer Science 2024-02-08 Samar Hadou , Navid NaderiAlizadeh , Alejandro Ribeiro

Motion planning under differential constraints is a classic problem in robotics. To date, the state of the art is represented by sampling-based techniques, with the Rapidly-exploring Random Tree algorithm as a leading example. Yet, the…

Robotics · Computer Science 2015-03-03 Edward Schmerling , Lucas Janson , Marco Pavone

In online incremental learning, data continuously arrives with substantial distributional shifts, creating a significant challenge because previous samples have limited replay value when learning a new task. Prior research has typically…

Machine Learning · Computer Science 2026-04-17 Quyen Tran , Hai Nguyen , Hoang Phan , Quan Dao , Linh Ngo , Khoat Than , Dinh Phung , Dimitris Metaxas , Trung Le

In this paper we explore the relation between distributionally robust learning and different forms of regularization to enforce robustness of deep neural networks. In particular, starting from a concrete min-max distributionally robust…

Optimization and Control · Mathematics 2022-03-29 Camilo Garcia Trillos , Nicolas Garcia Trillos

Given two probability densities on related data spaces, we seek a map pushing one density to the other while satisfying application-dependent constraints. For maps to have utility in a broad application space (including domain translation,…

Machine Learning · Computer Science 2023-04-19 Nishant Panda , Natalie Klein , Dominic Yang , Patrick Gasda , Diane Oyen

Predicting the intermediate trajectories between an initial and target distribution is a central problem in generative modeling. Existing approaches, such as flow matching and Schr\"odinger bridge matching, effectively learn mappings…

Machine Learning · Computer Science 2026-03-03 Sophia Tang , Yinuo Zhang , Alexander Tong , Pranam Chatterjee

Smoothed analysis is a framework suggested for mediating gaps between worst-case and average-case complexities. In a recent work, Dinitz et al.~[Distributed Computing, 2018] suggested to use smoothed analysis in order to study dynamic…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-29 Uri Meir , Ami Paz , Gregory Schwartzman

Optimal-Transport Distributionally Robust Optimization (OT-DRO) robustifies data-driven decision-making under uncertainty by capturing the sampling-induced statistical error via optimal transport ambiguity sets. The standard OT-DRO pipeline…

Optimization and Control · Mathematics 2025-09-17 Jonas Ohnemus , Marta Fochesato , Riccardo Zuliani , John Lygeros

In many real-world settings, image observations of freely rotating 3D rigid bodies may be available when low-dimensional measurements are not. However, the high-dimensionality of image data precludes the use of classical estimation…

Computer Vision and Pattern Recognition · Computer Science 2024-04-12 Justice Mason , Christine Allen-Blanchette , Nicholas Zolman , Elizabeth Davison , Naomi Ehrich Leonard

This paper addresses the limitations of standard uncertainty models, e.g., robust (norm-bounded) and stochastic (one fixed distribution, e.g., Gaussian), and proposes to model uncertainty via Optimal Transport (OT) ambiguity sets. These…

Optimization and Control · Mathematics 2023-09-08 Liviu Aolaritei , Nicolas Lanzetti , Hongruyu Chen , Florian Dörfler

This paper presents a robust version of the stratified sampling method when multiple uncertain input models are considered for stochastic simulation. Various variance reduction techniques have demonstrated their superior performance in…

Optimization and Control · Mathematics 2023-06-16 Seung Min Baik , Eunshin Byon , Young Myoung Ko

Learning generative models in settings where the source and target distributions are only specified through unpaired samples is gaining in importance. Here, one frequently-used model are Schr\"odinger bridges (SB), which represent the most…

Machine Learning · Computer Science 2026-05-13 Tobias Fuchs , Florian Kalinke , Nadja Klein

Sampling from diffusion probabilistic models (DPMs) can be viewed as a piecewise distribution transformation, which generally requires hundreds or thousands of steps of the inverse diffusion trajectory to get a high-quality image. Recent…

Computer Vision and Pattern Recognition · Computer Science 2023-07-24 Zezeng Li , ShengHao Li , Zhanpeng Wang , Na Lei , Zhongxuan Luo , Xianfeng Gu

This paper proposes a data-driven control framework to regulate an unknown, stochastic linear dynamical system to the solution of a (stochastic) convex optimization problem. Despite the centrality of this problem, most of the available…

Optimization and Control · Mathematics 2021-08-31 Gianluca Bianchin , Miguel Vaquero , Jorge Cortes , Emiliano Dall'Anese

Quadruped locomotion is rapidly maturing to a degree where robots now routinely traverse a variety of unstructured terrains. However, while gaits can be varied typically by selecting from a range of pre-computed styles, current planners are…

Modern neural interfaces allow access to the activity of up to a million neurons within brain circuits. However, bandwidth limits often create a trade-off between greater spatial sampling (more channels or pixels) and the temporal frequency…

Understanding neural dynamics is a central topic in machine learning, non-linear physics and neuroscience. However, the dynamics is non-linear, stochastic and particularly non-gradient, i.e., the driving force can not be written as gradient…

Neurons and Cognition · Quantitative Biology 2024-12-05 Junbin Qiu , Haiping Huang

In machine learning and computer graphics, a fundamental task is the approximation of a probability density function through a well-dispersed collection of samples. Providing a formal metric for measuring the distance between probability…

Graphics · Computer Science 2024-02-28 Baptiste Genest , Nicolas Courty , David Coeurjolly

Visual navigation is a core challenge in Embodied AI, requiring autonomous agents to translate high-dimensional sensory observations into continuous, long-horizon action trajectories. While generative policies based on diffusion models and…

Robotics · Computer Science 2026-05-28 Wuyang Luan , Junhui Li , Weiguang Zhao , Wenjian Zhang , Tieru Wu , Rui Ma

Entropic optimal transport (EOT) in continuous spaces with quadratic cost is a classical tool for solving the domain translation problem. In practice, recent approaches optimize a weak dual EOT objective depending on a single potential, but…

Machine Learning · Computer Science 2026-02-03 Roman Dyachenko , Nikita Gushchin , Kirill Sokolov , Petr Mokrov , Evgeny Burnaev , Alexander Korotin