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Importance sampling is a rare event simulation technique used in Monte Carlo simulations to bias the sampling distribution towards the rare event of interest. By assigning appropriate weights to sampled points, importance sampling allows…

We propose a method for deterministic sampling of arbitrary continuous angular density functions. With deterministic sampling, good estimation results can typically be achieved with much smaller numbers of samples compared to the commonly…

Systems and Control · Electrical Eng. & Systems 2025-04-03 Daniel Frisch , Uwe D. Hanebeck

Despite significant advances on distributed continuous-time optimization of multi-agent networks, there is still lack of an efficient algorithm to achieve the goal of distributed optimization at a pre-specified time. Herein, we design a…

Optimization and Control · Mathematics 2021-06-23 Jialing Zhou , Yuezu Lv , Changyun Wen , Guanghui Wen

In performative stochastic optimization, decisions can influence the distribution of random parameters, rendering the data-generating process itself decision-dependent. In practice, decision-makers rarely have access to the true…

Optimization and Control · Mathematics 2025-10-27 Zhuangzhuang Jia , Yijie Wang , Roy Dong , Grani A. Hanasusanto

Understanding transition pathways between two meta-stable states of a molecular system is crucial to advance drug discovery and material design. However, unbiased molecular dynamics (MD) simulations are computationally infeasible because of…

Machine Learning · Computer Science 2025-01-28 Kiyoung Seong , Seonghyun Park , Seonghwan Kim , Woo Youn Kim , Sungsoo Ahn

Computing the similarity between two probability distributions is a recurring theme across control. We introduce a unified family of distances between the probability distributions of two random variables that is based on the discrepancy…

Systems and Control · Electrical Eng. & Systems 2025-10-03 Alexandros E. Tzikas , Arec Jamgochian , Nazim Kemal Ure , Mykel J. Kochenderfer , Stephen P. Boyd

We introduce a general semiparametric clusterwise elliptical distribution to assess how latent cluster structure shapes continuous outcomes. Using a subjectwise representation, we first estimate cluster-specific mean vectors and a…

Methodology · Statistics 2026-04-10 Jen-Chieh Teng , Sheng-Hsin Fan , Chin-Tsang Chiang , Ming-Yueh Huang , Alvin Lim

Diffusion models have shown remarkable potential in planning and control tasks due to their ability to represent multimodal distributions over actions and trajectories. However, ensuring safety under constraints remains a critical challenge…

Systems and Control · Electrical Eng. & Systems 2025-06-17 Jichen Zhang , Liqun Zhao , Antonis Papachristodoulou , Jack Umenberger

In multicenter research, individual-level data are often protected against sharing across sites. To overcome the barrier of data sharing, many distributed algorithms, which only require sharing aggregated information, have been developed.…

Methodology · Statistics 2021-03-25 Rui Duan , Yang Ning , Yong Chen

Distributed model predictive control methods for uncertain systems often suffer from considerable conservatism and can tolerate only small uncertainties due to the use of robust formulations that are amenable to distributed design and…

Systems and Control · Electrical Eng. & Systems 2022-03-03 Simon Muntwiler , Kim P. Wabersich , Lukas Hewing , Melanie N. Zeilinger

Several researchers have proposed minimisation of maximum mean discrepancy (MMD) as a method to quantise probability measures, i.e., to approximate a target distribution by a representative point set. We consider sequential algorithms that…

Machine Learning · Statistics 2021-02-15 Onur Teymur , Jackson Gorham , Marina Riabiz , Chris. J. Oates

In this work, it is presented the development of a novel distributed algorithm performing robotic coverage, clustering and dispatch around an event in static-obstacle structured environments without relying on metric information.…

Systems and Control · Electrical Eng. & Systems 2022-02-22 Marco Fabris , Angelo Cenedese

Matrix sketching is a powerful tool for reducing the size of large data matrices. Yet there are fundamental limitations to this size reduction when we want to recover an accurate estimator for a task such as least square regression. We show…

Data Structures and Algorithms · Computer Science 2024-05-10 Sachin Garg , Kevin Tan , Michał Dereziński

We initiate a systematic investigation of distribution testing in the framework of algorithmic replicability. Specifically, given independent samples from a collection of probability distributions, the goal is to characterize the sample…

Machine Learning · Computer Science 2025-07-04 Ilias Diakonikolas , Jingyi Gao , Daniel Kane , Sihan Liu , Christopher Ye

A new method to simulate probability distributions in regions where the events are VERY unlikely (e.g. p ~ 10^{-40}) is presented. The basic idea is to represent the underlying probability space by the phase space of a physical system. The…

Disordered Systems and Neural Networks · Physics 2009-11-07 Alexander K. Hartmann

A main task in data analysis is to organize data points into coherent groups or clusters. The stochastic block model is a probabilistic model for the cluster structure. This model prescribes different probabilities for the presence of edges…

Machine Learning · Computer Science 2020-09-24 Alexander Jung

This paper introduces an approach to endow generative diffusion processes the ability to satisfy and certify compliance with constraints and physical principles. The proposed method recast the traditional sampling process of generative…

Machine Learning · Computer Science 2024-11-05 Jacob K Christopher , Stephen Baek , Ferdinando Fioretto

Stochastic spreading models defined on complex network topologies are used to mimic the diffusion of diseases, information, and opinions in real-world systems. Existing theoretical approaches to the characterization of the models in terms…

Physics and Society · Physics 2021-01-15 Dario Mazzilli , Filippo Radicchi

We propose a novel method for sampling and optimization tasks based on a stochastic interacting particle system. We explain how this method can be used for the following two goals: (i) generating approximate samples from a given target…

Dynamical Systems · Mathematics 2021-11-05 J. A. Carrillo , F. Hoffmann , A. M. Stuart , U. Vaes

Conformal prediction is a generic methodology for finite-sample valid distribution-free prediction. This technique has garnered a lot of attention in the literature partly because it can be applied with any machine learning algorithm that…

Methodology · Statistics 2024-04-12 Yachong Yang , Arun Kumar Kuchibhotla