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We introduce a new incremental preference elicitation procedure able to deal with noisy responses of a Decision Maker (DM). The originality of the contribution is to propose a Bayesian approach for determining a preferred solution in a…

Artificial Intelligence · Computer Science 2020-07-30 Nadjet Bourdache , Patrice Perny , Olivier Spanjaard

Active learning aims to achieve greater accuracy with less training data by selecting the most useful data samples from which it learns. Single-criterion based methods (i.e., informativeness and representativeness based methods) are simple…

Machine Learning · Computer Science 2021-07-06 Xueying Zhan , Qing Li , Antoni B. Chan

This paper proposes Select-Data-driven Predictive Control (Select-DPC), a new method for controlling nonlinear systems using output-feedback for which data are available but an explicit model is not. At each timestep, Select-DPC employs…

Systems and Control · Electrical Eng. & Systems 2025-05-23 Joshua Näf , Keith Moffat , Jaap Eising , Florian Dörfler

We study stochastic motion planning problems which involve a controlled process, with possibly discontinuous sample paths, visiting certain subsets of the state-space while avoiding others in a sequential fashion. For this purpose, we first…

Optimization and Control · Mathematics 2017-11-27 Peyman Mohajerin Esfahani , Debasish Chatterjee , John Lygeros

We present a list of algebraic, combinatorial, and analytic mechanisms that give rise to determinantal point processes.

Probability · Mathematics 2009-11-09 Alexei Borodin

In data sets with many predictors, algorithms for identifying a good subset of predictors are often used. Most such algorithms do not account for any relationships between predictors. For example, stepwise regression might select a model…

bayes-an · Physics 2008-02-03 Hugh Chipman

Interactive recommendation that models the explicit interactions between users and the recommender system has attracted a lot of research attentions in recent years. Most previous interactive recommendation systems only focus on optimizing…

Information Retrieval · Computer Science 2019-03-20 Yong Liu , Yinan Zhang , Qiong Wu , Chunyan Miao , Lizhen Cui , Binqiang Zhao , Yin Zhao , Lu Guan

Although discrete mixture modeling has formed the backbone of the literature on Bayesian density estimation, there are some well known disadvantages. We propose an alternative class of priors based on random nonlinear functions of a uniform…

Statistics Theory · Mathematics 2015-03-19 Suprateek Kundu , David B. Dunson

In this article, we consider a non-parametric Bayesian approach to multivariate quantile regression. The collection of related conditional distributions of a response vector Y given a univariate covariate X is modeled using a Dependent…

Methodology · Statistics 2020-07-03 Indrabati Bhattacharya , Subhashis Ghosal

Unstructured neural network pruning algorithms have achieved impressive compression rates. However, the resulting - typically irregular - sparse matrices hamper efficient hardware implementations, leading to additional memory usage and…

We discuss Bayesian inference for parameters selected using the data. First, we provide a critical analysis of the existing positions in the literature regarding the correct Bayesian approach under selection. Second, we propose two types of…

Statistics Theory · Mathematics 2021-05-12 Daniel G. Rasines , G. Alastair Young

We present a new random sampling strategy for k-bandlimited signals defined on graphs, based on determinantal point processes (DPP). For small graphs, ie, in cases where the spectrum of the graph is accessible, we exhibit a DPP sampling…

Machine Learning · Computer Science 2017-03-07 Nicolas Tremblay , Pierre-Olivier Amblard , Simon Barthelmé

In dynamic discrete choice models, some parameters, such as the discount factor, are being fixed instead of being estimated. This paper proposes two sensitivity analysis procedures for dynamic discrete choice models with respect to the…

Econometrics · Economics 2024-08-30 Chun Pong Lau

Generative modeling of discrete data underlies important applications spanning text-based agents like ChatGPT to the design of the very building blocks of life in protein sequences. However, application domains need to exert control over…

We introduce and study a class of determinantal probability measures generalising the class of discrete determinantal point processes. These measures live on the Grassmannian of a real, complex, or quaternionic inner product space that is…

Probability · Mathematics 2023-08-22 Adrien Kassel , Thierry Lévy

In this work we consider time series with a finite number of discrete point changes. We assume that the data in each segment follows a different probability density functions (pdf). We focus on the case where the data in all segments are…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Ali Mohammad-Djafari , Olivier Feron

In this paper, we introduce a new methodology for Bayesian variable selection in linear regression that is independent of the traditional indicator method. A diagonal matrix $\mathbf{G}$ is introduced to the prior of the coefficient vector…

Methodology · Statistics 2016-10-20 Zichen Ma , Ernest Fokoué

In Bayesian Optimization (BO) we study black-box function optimization with noisy point evaluations and Bayesian priors. Convergence of BO can be greatly sped up by batching, where multiple evaluations of the black-box function are…

Machine Learning · Computer Science 2022-02-09 Elvis Nava , Mojmír Mutný , Andreas Krause

Deep Bayesian neural networks (BNNs) are a powerful tool, though computationally demanding, to perform parameter estimation while jointly estimating uncertainty around predictions. BNNs are typically implemented using arbitrary…

Machine Learning · Computer Science 2020-05-12 Daniele Silvestro , Tobias Andermann

Determinantal point processes (DPPs) are random configurations of points with tunable negative dependence. Because sampling is tractable, DPPs are natural candidates for subsampling tasks, such as minibatch selection or coreset…

Machine Learning · Statistics 2024-11-04 Rémi Bardenet , Subhroshekhar Ghosh , Hugo Simon-Onfroy , Hoang-Son Tran