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Approximating the optimal social welfare while preserving truthfulness is a well studied problem in algorithmic mechanism design. Assuming that the social welfare of a given mechanism design problem can be optimized by an integer program…

计算机科学与博弈论 · 计算机科学 2014-08-13 Dennis Kraft , Salman Fadaei , Martin Bichler

Modern applications require methods that are computationally feasible on large datasets but also preserve statistical efficiency. Frequently, these two concerns are seen as contradictory: approximation methods that enable computation are…

统计方法学 · 统计学 2021-06-11 Darren Homrighausen , Daniel J. McDonald

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…

计算物理 · 物理学 2020-04-29 Varadarajan Rengaraj , Michael Lass , Christian Plessl , Thomas D. Kühne

In this paper, ellipsoid method for linear programming is derived using only minimal knowledge of algebra and matrices. Unfortunately, most authors first describe the algorithm, then later prove its correctness, which requires a good…

数据结构与算法 · 计算机科学 2017-12-14 Sanjeev Saxena

We introduce a lazy approach to the explanation-based approximation of probabilistic logic programs. It uses only the most significant part of the program when searching for explanations. The result is a fast and anytime approximate…

人工智能 · 计算机科学 2015-07-13 Joris Renkens , Angelika Kimmig , Luc De Raedt

We introduce a probabilistic approach to the LMS filter. By means of an efficient approximation, this approach provides an adaptable step-size LMS algorithm together with a measure of uncertainty about the estimation. In addition, the…

机器学习 · 统计学 2016-04-11 Jesus Fernandez-Bes , Víctor Elvira , Steven Van Vaerenbergh

Lifted probabilistic inference algorithms have been successfully applied to a large number of symmetric graphical models. Unfortunately, the majority of real-world graphical models is asymmetric. This is even the case for relational…

人工智能 · 计算机科学 2014-12-02 Guy Van den Broeck , Mathias Niepert

An important research thread in algorithmic game theory studies the design of efficient truthful mechanisms that approximate the optimal social welfare. A fundamental question is whether an \alpha-approximation algorithm translates into an…

计算机科学与博弈论 · 计算机科学 2015-05-13 Chandra Chekuri , Iftah Gamzu

This paper provides the first meaningful documentation and analysis of an established technique which aims to obtain an approximate solution to linear programming problems prior to applying the primal simplex method. The underlying…

最优化与控制 · 数学 2018-04-25 I. L. Galabova , J. A. J. Hall

This paper presents a probabilistic perspective on iterative methods for approximating the solution $\mathbf{x}_* \in \mathbb{R}^d$ of a nonsingular linear system $\mathbf{A} \mathbf{x}_* = \mathbf{b}$. In the approach a standard iterative…

统计方法学 · 统计学 2021-01-12 Jon Cockayne , Ilse C. F. Ipsen , Chris J. Oates , Tim W. Reid

In this paper, prediction for linear systems with missing information is investigated. New methods are introduced to improve the Mean Squared Error (MSE) on the test set in comparison to state-of-the-art methods, through appropriate tuning…

机器学习 · 统计学 2017-01-04 Mohammad Amin Fakharian , Ashkan Esmaeili , Farokh Marvasti

Advanced embedded algorithms are growing in complexity and they are an essential contributor to the growth of autonomy in many areas. However, the promise held by these algorithms cannot be kept without proper attention to the considerably…

计算与语言 · 计算机科学 2020-05-27 Raphaël Cohen , Eric Féron , Pierre-Loïc Garoche

We propose a truthful-in-expectation, $(1-1/e)$-approximation mechanism for a strategic variant of the generalized assignment problem (GAP). In GAP, a set of items has to be optimally assigned to a set of bins without exceeding the capacity…

计算机科学与博弈论 · 计算机科学 2016-08-17 Salman Fadaei , Martin Bichler

Interior point methods (IPMs) are a common approach for solving linear programs (LPs) with strong theoretical guarantees and solid empirical performance. The time complexity of these methods is dominated by the cost of solving a linear…

最优化与控制 · 数学 2022-02-04 Gregory Dexter , Agniva Chowdhury , Haim Avron , Petros Drineas

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…

统计计算 · 统计学 2021-12-23 Thomas P Prescott , David J Warne , Ruth E Baker

Replication of experimental results has been a challenge faced by many scientific disciplines, including the field of machine learning. Recent work on the theory of machine learning has formalized replicability as the demand that an…

机器学习 · 计算机科学 2026-04-15 Eric Eaton , Marcel Hussing , Michael Kearns , Aaron Roth , Sikata Bela Sengupta , Jessica Sorrell

We consider an important problem in signal processing, which consists in finding the sparsest solution of a linear system $\Phi x=b$. This problem has applications in several areas, but is NP-hard in general. Usually an alternative convex…

最优化与控制 · 数学 2019-06-25 Matías Valdés , Marcelo Fiori

Ellipsoid fitting is of general interest in machine vision, such as object detection and shape approximation. Most existing approaches rely on the least-squares fitting of quadrics, minimizing the algebraic or geometric distances, with…

计算机视觉与模式识别 · 计算机科学 2021-10-27 Zhao Mingyang , Jia Xiaohong , Ma Lei , Qiu Xinlin , Jiang Xin , Yan Dong-Ming

Simulation schemes for probabilistic inference in Bayesian belief networks offer many advantages over exact algorithms; for example, these schemes have a linear and thus predictable runtime while exact algorithms have exponential runtime.…

人工智能 · 计算机科学 2013-02-28 Remco R. Bouckaert

Approximate Bayesian computation performs approximate inference for models where likelihood computations are expensive or impossible. Instead simulations from the model are performed for various parameter values and accepted if they are…

统计计算 · 统计学 2015-12-16 Dennis Prangle
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