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We explore the consequences of weakening the notion of incentive compatibility from strategy-proofness to ordinal Bayesian incentive compatibility (OBIC) in the random assignment model. If the common prior of the agents is a uniform prior,…

Theoretical Economics · Economics 2022-07-20 Sulagna Dasgupta , Debasis Mishra

Uncertainty quantification has become an efficient tool for uncertainty-aware prediction, but its power in yield-aware optimization has not been well explored from either theoretical or application perspectives. Yield optimization is a much…

Optimization and Control · Mathematics 2020-04-28 Chunfeng Cui , Kaikai Liu , Zheng Zhang

Level-1 Consensus is a property of a preference-profile. Intuitively, it means that there exists a preference relation which induces an ordering of all other preferences such that frequent preferences are those that are more similar to it.…

Computer Science and Game Theory · Computer Science 2017-12-20 Mor Nitzan , Shmuel Nitzan , Erel Segal-Halevi

We consider the problem of learning fair policies for multi-stage selection problems from observational data. This problem arises in several high-stakes domains such as company hiring, loan approval, or bail decisions where outcomes (e.g.,…

Machine Learning · Computer Science 2023-12-21 Zhuangzhuang Jia , Grani A. Hanasusanto , Phebe Vayanos , Weijun Xie

In this paper we provide a novel mathematical optimization based methodology to perturb the features of a given observation to be re-classified, by a tree ensemble classification rule, to a certain desired class. The method is based on…

Optimization and Control · Mathematics 2024-12-10 Víctor Blanco , Alberto Japón , Justo Puerto , Peter Zhang

A sequence of social sensors estimate an unknown parameter (modeled as a state of nature) by performing Bayesian Social Learning, and myopically optimize individual reward functions. The decisions of the social sensors contain quantized…

Social and Information Networks · Computer Science 2020-03-31 Sujay Bhatt , Vikram Krishnamurthy

Chance-constrained problems involve stochastic components in the constraints which can be violated with a small probability. We investigate the impact of different types of chance constraints on the performance of iterative search…

Neural and Evolutionary Computing · Computer Science 2024-05-30 Saba Sadeghi Ahouei , Jacob de Nobel , Aneta Neumann , Thomas Bäck , Frank Neumann

We propose a random graph model with preferential attachment rule and \emph{edge-step functions} that govern the growth rate of the vertex set. We study the effect of these functions on the empirical degree distribution of these random…

Probability · Mathematics 2019-01-09 Caio Alves , Rodrigo Ribeiro , Remy Sanchis

We consider the following stochastic optimization problem first introduced by Chen et al. in \cite{chen}. We are given a vertex set of a random graph where each possible edge is present with probability p_e. We do not know which edges are…

Data Structures and Algorithms · Computer Science 2015-03-20 Kevin Costello , Prasad Tetali , Pushkar Tripathi

Variable selection for high-dimensional linear models has received a lot of attention lately, mostly in the context of l1-regularization. Part of the attraction is the variable selection effect: parsimonious models are obtained, which are…

Machine Learning · Statistics 2009-06-22 Nicolai Meinshausen

Random forests are a type of ensemble method which makes predictions by combining the results of several independent trees. However, the theory of random forests has long been outpaced by their application. In this paper, we propose a novel…

Machine Learning · Computer Science 2015-07-23 Jianyuan Sun , Guoqiang Zhong , Junyu Dong , Yajuan Cai

Tree-based algorithms such as random forests and gradient boosted trees continue to be among the most popular and powerful machine learning models used across multiple disciplines. The conventional wisdom of estimating the impact of a…

Machine Learning · Statistics 2022-01-03 Markus Loecher , Qi Wu

Algorithms for binary classification based on adaptive tree partitioning are formulated and analyzed for both their risk performance and their friendliness to numerical implementation. The algorithms can be viewed as generating a set…

Statistics Theory · Mathematics 2014-11-05 Peter Binev , Albert Cohen , Wolfgang Dahmen , Ronald DeVore

Exact computation of the partition function is known to be intractable, necessitating approximate inference techniques. Existing methods for approximate inference are slow to converge for many benchmarks. The control of accuracy-complexity…

Artificial Intelligence · Computer Science 2023-09-29 Shivani Bathla , Vinita Vasudevan

Online bipartite matching, where agents are known in advance but items arrive sequentially and must be irrevocably assigned, is fundamental to problems ranging from ride-sharing to online advertising. When agents belong to classes such as…

Computer Science and Game Theory · Computer Science 2026-05-25 Sander Borst , Max Springer

We consider a model of bilateral trade with private values. The value of the buyer and the cost of the seller are jointly distributed. The true joint distribution is unknown to the designer, however, the marginal distributions of the value…

Theoretical Economics · Economics 2023-01-02 Komal Malik

Group fairness is an important concern for machine learning researchers, developers, and regulators. However, the strictness to which models must be constrained to be considered fair is still under debate. The focus of this work is on…

Machine Learning · Statistics 2018-11-27 Jack Fitzsimons , Michael Osborne , Stephen Roberts

We propose the interval censored recursive forests (ICRF) which is an iterative tree ensemble method for interval censored survival data. This nonparametric regression estimator makes the best use of censored information by iteratively…

Methodology · Statistics 2021-05-21 Hunyong Cho , Nicholas P. Jewell , Michael R. Kosorok

For many tasks, the reward function is inaccessible to introspection or too complex to be specified procedurally, and must instead be learned from user data. Prior work has evaluated learned reward functions by evaluating policies optimized…

Machine Learning · Computer Science 2021-03-19 Adam Gleave , Michael Dennis , Shane Legg , Stuart Russell , Jan Leike

Decision tree and random forest classification and regression are some of the most widely used in machine learning approaches. Binary decision tree implementations commonly use conditioning in the form 'feature $\leq$ (or $<$) threshold',…

Machine Learning · Computer Science 2023-12-19 Gábor Timár , György Kovács