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The Exponential Mechanism (ExpM), designed for private optimization, has been historically sidelined from use on continuous sample spaces, as it requires sampling from a generally intractable density, and, to a lesser extent, bounding the…

Machine Learning · Statistics 2024-06-12 Robert A. Bridges , Vandy J. Tombs , Christopher B. Stanley

Statistical model checking is a class of sequential algorithms that can verify specifications of interest on an ensemble of cyber-physical systems (e.g., whether 99% of cars from a batch meet a requirement on their energy efficiency). These…

Machine Learning · Computer Science 2022-06-29 Yu Wang , Hussein Sibai , Mark Yen , Sayan Mitra , Geir E. Dullerud

I study partial identification of distributional parameters in triangular systems. This model consists of a nonparametric outcome equation and a selection equation. This allows for general unobserved heterogeneity and selection on…

Methodology · Statistics 2014-11-11 Ju Hyun Kim

In recent years, an increasing amount of data is collected in different and often, not cooperative, databases. The problem of privacy-preserving, distributed calculations over separated databases and, a relative to it, issue of private data…

Databases · Computer Science 2016-05-23 Philip Derbeko , Shlomi Dolev , Ehud Gudes , Jeffrey D. Ullman

In this paper, exponential energy-preserving methods are formulated and analysed for solving charged-particle dynamics in a strong and constant magnetic field. The resulting method can exactly preserve the energy of the dynamics. Moreover,…

Numerical Analysis · Mathematics 2018-12-31 Bin Wang

Importance sampling is a promising variance reduction technique for Monte Carlo simulation based derivative pricing. Existing importance sampling methods are based on a parametric choice of the proposal. This article proposes an algorithm…

Applications · Statistics 2009-04-14 Jan C. Neddermeyer

Preferential Bayesian optimization allows optimization of objectives that are either expensive or difficult to measure directly, by relying on a minimal number of comparative evaluations done by a human expert. Generating candidate…

In this paper we introduce a new lifetime distribution by compounding exponential and Poisson-Lindley distributions, named exponential Poisson-Lindley distribution. Several properties are derived, such as density, failure rate, mean…

Methodology · Statistics 2013-02-20 Wagner Barreto-Souza , Hassan S. Bakouch

We introduce penalty-function-based admission control policies to approximately maximize the expected reward rate in a loss network. These control policies are easy to implement and perform well both in the transient period as well as in…

Probability · Mathematics 2007-05-23 Garud Iyengar , Karl Sigman

We propose an efficient algorithm for estimation of possibility based qualitative expected utility. It is useful for decision making mechanisms where each possible decision is assigned a multi-attribute possibility distribution. The…

Artificial Intelligence · Computer Science 2012-07-09 Jakub Brzostowski , Ryszard Kowalczyk

In most data-scientific approaches, the principle of Maximum Entropy (MaxEnt) is used to a posteriori justify some parametric model which has been already chosen based on experience, prior knowledge or computational simplicity. In a…

Methodology · Statistics 2022-06-29 Orestis Loukas , Ho Ryun Chung

We consider an extension of the setting of label ranking, in which the learner is allowed to make predictions in the form of partial instead of total orders. Predictions of that kind are interpreted as a partial abstention: If the learner…

Artificial Intelligence · Computer Science 2011-12-05 Weiwei Cheng , Eyke Hüllermeier

Model selection is a cornerstone of statistical inference, where information criteria are widely employed to balance model fit and complexity. However, classical likelihood-based criteria are often highly sensitive to contamination,…

Methodology · Statistics 2026-03-26 Udita Goswami , Shuvashree Mondal

We present a method for computing reduced-order models of parameterized partial differential equation solutions. The key analytical tool is the singular value expansion of the parameterized solution, which we approximate with a singular…

Numerical Analysis · Mathematics 2014-11-03 Paul G. Constantine , David F. Gleich , Yangyang Hou , Jeremy Templeton

Probability estimation is essential for every statistical data compression algorithm. In practice probability estimation should be adaptive, recent observations should receive a higher weight than older observations. We present a…

Information Theory · Computer Science 2015-01-12 Christopher Mattern

An algorithm for numerically computing the exponential of a matrix is presented. We have derived a polynomial expansion of $e^x$ by computing it as an initial value problem using a symbolic programming language. This algorithm is shown to…

Numerical Analysis · Mathematics 2016-06-28 Daniel Gebremedhin , Charles Weatherford

DNNs are becoming less and less over-parametrised due to recent advances in efficient model design, through careful hand-crafted or NAS-based methods. Relying on the fact that not all inputs require the same amount of computation to yield a…

Machine Learning · Computer Science 2021-06-10 Stefanos Laskaridis , Alexandros Kouris , Nicholas D. Lane

The high accuracy exhibited by biological information transcription processes is due to kinetic proofreading, i.e., by a mechanism which reduces the error rate of the information-handling process by driving it out of equilibrium. We provide…

Statistical Mechanics · Physics 2015-06-18 Riccardo Rao , Luca Peliti

Reinforcement learning is a general method for learning in sequential settings, but it can often be difficult to specify a good reward function when the task is complex. In these cases, preference feedback or expert demonstrations can be…

Machine Learning · Computer Science 2025-08-20 Jason R Brown , Carl Henrik Ek , Robert D Mullins

Semiparametric exponential family proposed by Ning et al. (2017) is an extension of the parametric exponential family to the case with a nonparametric base measure function. Such a distribution family has potential application in some areas…

Methodology · Statistics 2017-12-01 Lu Lin , Lili Liu , Xia Cui