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Performative prediction is a recently proposed framework where predictions guide decision-making and hence influence future data distributions. Such performative phenomena are ubiquitous in various areas, such as transportation, finance,…

Machine Learning · Computer Science 2023-09-25 Wenjing Yan , Xuanyu Cao

Feedback optimization algorithms compute inputs to a system using real-time output measurements, which helps mitigate the effects of disturbances. However, existing work often models both system dynamics and computations in either discrete…

Systems and Control · Electrical Eng. & Systems 2026-03-23 Oscar Jed Chuy , Matthew Hale , Ricardo Sanfelice

Performative prediction, as introduced by Perdomo et al, is a framework for studying social prediction in which the data distribution itself changes in response to the deployment of a model. Existing work in this field usually hinges on…

Machine Learning · Computer Science 2024-08-14 Yatong Chen , Wei Tang , Chien-Ju Ho , Yang Liu

Many statistical estimators are defined as the fixed point of a data-dependent operator, with estimators based on minimizing a cost function being an important special case. The limiting performance of such estimators depends on the…

Machine Learning · Computer Science 2022-03-22 Nhat Ho , Koulik Khamaru , Raaz Dwivedi , Martin J. Wainwright , Michael I. Jordan , Bin Yu

An increasing number of decisions are guided by machine learning algorithms. In many settings, from consumer credit to criminal justice, those decisions are made by applying an estimator to data on an individual's observed behavior. But…

Theoretical Economics · Economics 2020-04-09 Daniel Björkegren , Joshua E. Blumenstock , Samsun Knight

Agents often have individual goals which depend on a group's actions. If agents trust a forecast of collective action and adapt strategically, such prediction can influence outcomes non-trivially, resulting in a form of performative…

Machine Learning · Computer Science 2025-02-18 António Góis , Mehrnaz Mofakhami , Fernando P. Santos , Gauthier Gidel , Simon Lacoste-Julien

We present online prediction methods for time series that let us explicitly handle nonstationary artifacts (e.g. trend and seasonality) present in most real time series. Specifically, we show that applying appropriate transformations to…

Machine Learning · Statistics 2018-08-28 Christopher Xie , Avleen Bijral , Juan Lavista Ferres

A burgeoning paradigm in algorithm design is the field of algorithms with predictions, in which algorithms can take advantage of a possibly-imperfect prediction of some aspect of the problem. While much work has focused on using predictions…

Machine Learning · Computer Science 2022-10-18 Mikhail Khodak , Maria-Florina Balcan , Ameet Talwalkar , Sergei Vassilvitskii

Performative prediction aims to model scenarios where predictive outcomes subsequently influence the very systems they target. The pursuit of a performative optimum (PO) -- minimizing performative risk -- is generally reliant on modeling of…

Machine Learning · Computer Science 2025-02-11 Songkai Xue , Yuekai Sun

We study a theoretical and algorithmic framework for structured prediction in the online learning setting. The problem of structured prediction, i.e. estimating function where the output space lacks a vectorial structure, is well studied in…

Machine Learning · Computer Science 2024-06-19 Pierre Boudart , Alessandro Rudi , Pierre Gaillard

This paper studies the performative prediction problem which optimizes a stochastic loss function with data distribution that depends on the decision variable. We consider a setting where the agent(s) provides samples adapted to the…

Optimization and Control · Mathematics 2021-10-05 Qiang Li , Hoi-To Wai

This paper introduces a performative scenario optimization framework for decision-dependent chance-constrained problems. Unlike classical stochastic optimization, we account for the feedback loop where decisions actively shape the…

Computer Science and Game Theory · Computer Science 2026-04-01 Quanyan Zhu , Zhengye Han

The assignment game models a housing market where buyers and sellers are matched, and transaction prices are set so that the resulting allocation is stable. Shapley and Shubik showed that every stable allocation is necessarily built on a…

Computer Science and Game Theory · Computer Science 2026-02-23 Emile Martinez , Felipe Garrido-Lucero , Umberto Grandi

Sequential prediction problems such as imitation learning, where future observations depend on previous predictions (actions), violate the common i.i.d. assumptions made in statistical learning. This leads to poor performance in theory and…

Machine Learning · Computer Science 2015-03-17 Stephane Ross , Geoffrey J. Gordon , J. Andrew Bagnell

Feedback optimisation is an emerging technique aiming at steering a system to an optimal steady state for a given objective function. We show that it is possible to employ this control strategy in a distributed manner. Moreover, we prove…

Optimization and Control · Mathematics 2022-03-01 Antonio Terpin , Sylvain Fricker , Michel Perez , Mathias Hudoba de Badyn , Florian Dörfler

We study the distribution of traffic in networks whose users try to minimise their delays by adhering to a simple learning scheme inspired by the replicator dynamics of evolutionary game theory. The stable steady states of these dynamics…

Probability · Mathematics 2010-02-27 Panayotis Mertikopoulos , Aris L. Moustakas

The setting of an agent making decisions under uncertainty and under dynamic constraints is common for the fields of optimal control, reinforcement learning, and recently also for online learning. In the online learning setting, the quality…

Systems and Control · Electrical Eng. & Systems 2023-04-18 Aren Karapetyan , Anastasios Tsiamis , Efe C. Balta , Andrea Iannelli , John Lygeros

We introduce a statistical physics inspired supervised machine learning algorithm for classification and regression problems. The method is based on the invariances or stability of predicted results when known data is represented as…

Machine Learning · Statistics 2018-11-19 Patrick Chao , Tahereh Mazaheri , Bo Sun , Nicholas B. Weingartner , Zohar Nussinov

We propose a novel framework for analyzing the dynamics of distribution shift in real-world systems that captures the feedback loop between learning algorithms and the distributions on which they are deployed. Prior work largely models…

Machine Learning · Computer Science 2023-10-31 Lauren Conger , Franca Hoffmann , Eric Mazumdar , Lillian Ratliff

We formulate the predicted-updates dynamic model, one of the first beyond-worst-case models for dynamic algorithms, which generalizes a large set of well-studied dynamic models including the offline dynamic, incremental, and decremental…

Data Structures and Algorithms · Computer Science 2023-11-29 Quanquan C. Liu , Vaidehi Srinivas