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Identifying an accurate model for the dynamics of a quantum system is a vexing problem that underlies a range of problems in experimental physics and quantum information theory. Recently, a method called quantum Hamiltonian learning has…

Quantum Physics · Physics 2014-04-23 Nathan Wiebe , Christopher Granade , Christopher Ferrie , David G. Cory

In this paper, we consider active information acquisition when the prediction model is meant to be applied on a targeted subset of the population. The goal is to label a pre-specified fraction of customers in the target or test set by…

Artificial Intelligence · Computer Science 2014-03-17 Sneha Chaudhari , Pankaj Dayama , Vinayaka Pandit , Indrajit Bhattacharya

In this work, we analyze the noisy importance sampling (IS), i.e., IS working with noisy evaluations of the target density. We present the general framework and derive optimal proposal densities for noisy IS estimators. The optimal…

Machine Learning · Statistics 2022-01-24 Fernando Llorente , Luca Martino , Jesse Read , David Delgado-Gómez

We consider partially-specified optimization problems where the goal is to actively, but efficiently, acquire missing information about the problem in order to solve it. An algorithm designer wishes to solve a linear program (LP), $\max…

Data Structures and Algorithms · Computer Science 2021-09-07 Shuran Zheng , Bo Waggoner , Yang Liu , Yiling Chen

In nonstationary bandit learning problems, the decision-maker must continually gather information and adapt their action selection as the latent state of the environment evolves. In each time period, some latent optimal action maximizes…

Machine Learning · Computer Science 2023-12-27 Seungki Min , Daniel Russo

The problem of recovering the sparsity pattern of a fixed but unknown vector $\beta^* \in \real^p based on a set of $n$ noisy observations arises in a variety of settings, including subset selection in regression, graphical model selection,…

Statistics Theory · Mathematics 2007-07-13 Martin J. Wainwright

Effective exploration is critical for reinforcement learning agents in environments with sparse rewards or high-dimensional state-action spaces. Recent works based on state-visitation counts, curiosity and entropy-maximization generate…

Machine Learning · Computer Science 2022-09-13 Bang You , Jingming Xie , Youping Chen , Jan Peters , Oleg Arenz

In many real world problems, optimization decisions have to be made with limited information. The decision maker may have no a priori or posteriori data about the often nonconvex objective function except from on a limited number of points…

Optimization and Control · Mathematics 2011-11-10 Tansu Alpcan

We consider the problem of noisy Bayesian active learning, where we are given a finite set of functions $\mathcal{H}$, a sample space $\mathcal{X}$, and a label set $\mathcal{L}$. One of the functions in $\mathcal{H}$ assigns labels to…

Information Theory · Computer Science 2016-11-15 Mohammad Naghshvar , Tara Javidi , Kamalika Chaudhuri

We introduce a problem of fairly allocating indivisible goods (items) in which the agents' valuations cannot be observed directly, but instead can only be accessed via noisy queries. In the two-agent setting with Gaussian noise and bounded…

Computer Science and Game Theory · Computer Science 2026-05-29 Zihan Li , Yan Hao Ling , Jonathan Scarlett , Warut Suksompong

The model selection procedure is usually a single-criterion decision making in which we select the model that maximizes a specific metric in a specific set, such as the Validation set performance. We claim this is very naive and can perform…

Machine Learning · Computer Science 2022-07-15 Felipe Costa Farias , Teresa Bernarda Ludermir , Carmelo José Albanez Bastos-Filho

We study active learning where the labeler can not only return incorrect labels but also abstain from labeling. We consider different noise and abstention conditions of the labeler. We propose an algorithm which utilizes abstention…

Machine Learning · Computer Science 2016-11-01 Songbai Yan , Kamalika Chaudhuri , Tara Javidi

We derive robust predictions in games involving flexible information acquisition, also known as rational inattention (Sims 2003). These predictions remain accurate regardless of the specific methods players employ to gather information.…

Theoretical Economics · Economics 2023-06-19 Tommaso Denti , Doron Ravid

We present a model of a forecaster who must predict the future value of a variable that depends on an exogenous state and on the intervention of a policy-maker. We investigate the incentives of the forecaster to acquire costly private…

Theoretical Economics · Economics 2026-04-02 Augusto Nieto-Barthaburu

We consider the problem of detecting a small subset of defective items from a large set via non-adaptive "random pooling" group tests. We consider both the case when the measurements are noiseless, and the case when the measurements are…

Information Theory · Computer Science 2011-07-25 Chun Lam Chan , Pak Hou Che , Sidharth Jaggi , Venkatesh Saligrama

The field of information retrieval often works with limited and noisy data in an attempt to classify documents into subjective categories, e.g., relevance, sentiment and controversy. We typically quantify a notion of agreement to understand…

Information Retrieval · Computer Science 2018-06-14 John Foley

We propose an interactive approach to language learning that utilizes linguistic acceptability judgments from an informant (a competent language user) to learn a grammar. Given a grammar formalism and a framework for synthesizing data, our…

Computation and Language · Computer Science 2024-05-09 Canaan Breiss , Alexis Ross , Amani Maina-Kilaas , Roger Levy , Jacob Andreas

Robust learning in expressive languages with real-world data continues to be a challenging task. Numerous conventional methods appeal to heuristics without any assurances of robustness. While probably approximately correct (PAC) Semantics…

Artificial Intelligence · Computer Science 2021-09-08 Alexander P. Rader , Ionela G. Mocanu , Vaishak Belle , Brendan Juba

When additional information sources are available, an important question for an agent solving a certain problem is how to optimally use the information the sources are capable of providing. A framework that relates information accuracy on…

Data Analysis, Statistics and Probability · Physics 2013-01-11 Eugene Perevalov , David Grace

Classical probabilistic models of (noisy) quantum systems are not only relevant for understanding the non-classical features of quantum mechanics, but they are also useful for determining the possible advantage of using quantum resources…

Quantum Physics · Physics 2020-03-16 Iman Marvian