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Likelihood-free Bayesian inference algorithms are popular methods for calibrating the parameters of complex, stochastic models, required when the likelihood of the observed data is intractable. These algorithms characteristically rely…

Computation · Statistics 2021-12-23 Thomas P Prescott , David J Warne , Ruth E Baker

We investigate improvements to the algorithm for the computation of ideal class groups described by Jacobson in the imaginary quadratic case. These improvements rely on the large prime strategy and a new method for performing the linear…

Number Theory · Mathematics 2012-04-06 Jean-François Biasse

Also known as likelihood-free methods, approximate Bayesian computational (ABC) methods have appeared in the past ten years as the most satisfactory approach to untractable likelihood problems, first in genetics then in a broader spectrum…

Computation · Statistics 2015-03-17 Jean-Michel Marin , Pierre Pudlo , Christian P. Robert , Robin Ryder

Nonlinear model predictive control~(NMPC) generally requires the solution of a non-convex optimization problem at each sampling instant under strict timing constraints, based on a set of differential equations that can often be stiff and/or…

Optimization and Control · Mathematics 2019-03-22 Pedro Hespanhol , Rien Quirynen

This paper proposes a versatile covariate adjustment method that directly incorporates covariate balance in regression discontinuity (RD) designs. The new empirical entropy balancing method reweights the standard local polynomial RD…

Econometrics · Economics 2024-05-29 Jun Ma , Zhengfei Yu

Maximum likelihood estimators are often of limited practical use due to the intensive computation they require. We propose a family of alternative estimators that maximize a stochastic variation of the composite likelihood function. Each of…

Machine Learning · Computer Science 2010-03-04 Joshua V Dillon , Guy Lebanon

We propose an efficient dual algorithm for ELP based on Fast Gradient Method. The basic idea - to solve properly regularized dual problem.

Optimization and Control · Mathematics 2016-02-05 Alexander Gasnikov , Evgenia Gasnikova , Yurii Nesterov , Alexey Chernov

We tackle the problem of learning equilibria in simulation-based games. In such games, the players' utility functions cannot be described analytically, as they are given through a black-box simulator that can be queried to obtain noisy…

Computer Science and Game Theory · Computer Science 2020-02-26 Alberto Marchesi , Francesco Trovò , Nicola Gatti

The expected gradient outerproduct (EGOP) of an unknown regression function is an operator that arises in the theory of multi-index regression, and is known to recover those directions that are most relevant to predicting the output.…

Machine Learning · Statistics 2020-06-08 Shubhendu Trivedi , J. Wang

Maximum pseudo-likelihood (MPL) is a semiparametric estimation method often used to obtain the dependence parameters in copula models from data. It has been shown that despite being consistent, and in some cases efficient, MPL estimation…

Methodology · Statistics 2022-09-07 Alexandra Dias

In this paper, we describe a new algorithm that approximates the extreme eigenvalue/eigenvector pairs of a symmetric matrix. The proposed algorithm can be viewed as an extension of the Jacobi eigenvalue method for symmetric matrices…

Numerical Analysis · Mathematics 2025-09-16 Cristian Rusu

We show that, under certain circumstances, it is possible to automatically compute Jacobian-inverse-vector and Jacobian-inverse-transpose-vector products about as efficiently as Jacobian-vector and Jacobian-transpose-vector products. The…

Numerical Analysis · Mathematics 2026-03-18 Barak A. Pearlmutter , Jeffrey Mark Siskind

In this article, the decidability and computability issues of dynamic probability logic (DPL) are addressed. Firstly, a proof system $\mathcal{H}_{DPL}$ is introduced for DPL and shown that it is weakly complete. Furthermore, this logic has…

Logic in Computer Science · Computer Science 2024-06-25 Somayeh Chopoghloo , Mahdi Heidarpoor , Massoud Pourmahdian

Covariate balance is a conventional key diagnostic for methods used estimating causal effects from observational studies. Recently, there is an emerging interest in directly incorporating covariate balance in the estimation. We study a…

Methodology · Statistics 2017-02-14 Qingyuan Zhao , Daniel Percival

In scientific computing, the acceleration of atomistic computer simulations by means of custom hardware is finding ever growing application. A major limitation, however, is that the high efficiency in terms of performance and low power…

Computational Physics · Physics 2020-04-29 Varadarajan Rengaraj , Michael Lass , Christian Plessl , Thomas D. Kühne

This paper presents a real-time computational framework for multi-node distributed optimization by extending the Augmented Lagrangian Alternating Direction Inexact Newton (ALADIN) algorithm. Our approach integrates adjoint sequential…

Optimization and Control · Mathematics 2026-04-17 Yifei Wang , Xuhui Feng , Shimin Pan , Liangfan Zhu , Xu Du , Apostolos I. Rikos

Normalizing flows learn a diffeomorphic mapping between the target and base distribution, while the Jacobian determinant of that mapping forms another real-valued function. In this paper, we show that the Jacobian determinant mapping is…

Machine Learning · Computer Science 2021-02-18 Huadong Liao , Jiawei He

Most computational approaches to Bayesian experimental design require making posterior calculations repeatedly for a large number of potential designs and/or simulated datasets. This can be expensive and prohibit scaling up these methods to…

Computation · Statistics 2021-11-18 Dennis Prangle , Sophie Harbisher , Colin S Gillespie

This paper proposes a new algorithm for Gaussian process classification based on posterior linearisation (PL). In PL, a Gaussian approximation to the posterior density is obtained iteratively using the best possible linearisation of the…

Machine Learning · Computer Science 2019-04-19 Ángel F. García-Fernández , Filip Tronarp , Simo Särkkä

This paper studies theoretically and empirically a method of turning machine-learning algorithms into probabilistic predictors that automatically enjoys a property of validity (perfect calibration) and is computationally efficient. The…

Machine Learning · Computer Science 2015-11-16 Vladimir Vovk , Ivan Petej , Valentina Fedorova
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