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For the problem of binary linear classification and feature selection, we propose algorithmic approaches to classifier design based on the generalized approximate message passing (GAMP) algorithm, recently proposed in the context of…

Information Theory · Computer Science 2015-06-18 Justin Ziniel , Philip Schniter , Per Sederberg

In recent years, data dimensionality has increasingly become a concern, leading to many parameter and dimension reduction techniques being proposed in the literature. A parameter-wise co-clustering model, for data modelled via continuous…

Machine Learning · Statistics 2020-10-01 M. P. B. Gallaugher , C. Biernacki , P. D. McNicholas

A computational method is presented which is capable to obtain low lying energy structures of topological amorphous systems. The method merges a differential mutation genetic algorithm with simulated annealing. This is done by incorporating…

Computational Physics · Physics 2017-10-11 Katja Biswas

Sine-skewed circular distributions are identifiable and have easily-computable trigonometric moments and a simple random number generation algorithm, whereas they are known to have relatively low levels of asymmetry. This study proposes a…

Methodology · Statistics 2024-02-16 Yoichi Miyata , Takayuki Shiohama , Toshihiro Abe

We study how to generate molecule conformations (i.e., 3D structures) from a molecular graph. Traditional methods, such as molecular dynamics, sample conformations via computationally expensive simulations. Recently, machine learning…

Machine Learning · Computer Science 2021-04-01 Minkai Xu , Shitong Luo , Yoshua Bengio , Jian Peng , Jian Tang

In experiments to estimate parameters of a parametric model, Bayesian experiment design allows measurement settings to be chosen based on utility, which is the predicted improvement of parameter distributions due to modeled measurement…

Methodology · Statistics 2023-01-26 Robert D. McMichael , Sean M. Blakley

We consider Bayesian inference problems with computationally intensive likelihood functions. We propose a Gaussian process (GP) based method to approximate the joint distribution of the unknown parameters and the data. In particular, we…

Computation · Statistics 2018-03-15 Hongqiao Wang , Jinglai Li

At present, there is still no officially accepted and extensively verified implementation of computing the gamma difference distribution allowing unequal shape parameters. We explore four computational ways of the gamma difference…

Computation · Statistics 2022-02-02 Martina Hančová , Andrej Gajdoš , Jozef Hanč

Random graphs with prescribed degree sequences have been widely used as a model of complex networks. Comparing an observed network to an ensemble of such graphs allows one to detect deviations from randomness in network properties. Here we…

Statistical Mechanics · Physics 2007-05-23 R. Milo , N. Kashtan , S. Itzkovitz , M. E. J. Newman , U. Alon

This paper considers generalized linear models using rule-based features, also referred to as rule ensembles, for regression and probabilistic classification. Rules facilitate model interpretation while also capturing nonlinear dependences…

Machine Learning · Computer Science 2019-06-06 Dennis Wei , Sanjeeb Dash , Tian Gao , Oktay Günlük

Parameter estimation for the truncated skew-normal distribution is challenging, as truncation introduces additional nonlinearity into the likelihood function and often leads to numerical instability in existing estimation procedures. In…

Methodology · Statistics 2026-03-09 Kwangok Seo , Seul Lee , Johan Lim

A procedure based on a Mixture Density Model for correcting experimental data for distortions due to finite resolution and limited detector acceptance is presented. Addressing the case that the solution is known to be non-negative, in the…

Data Analysis, Statistics and Probability · Physics 2015-03-09 Nikolai Gagunashvili

A flexible model is developed for multivariate generalized spherical distributions, i.e. ones with level sets that are star shaped. To work in dimension above 2 requires tools from computational geometry and multivariate numerical…

Computation · Statistics 2015-10-26 John P Nolan

We develop a computationally efficient and robust algorithm for generating pseudo-random samples from a broad class of smooth probability distributions in one and two dimensions. The algorithm is based on inverse transform sampling with a…

Numerical Analysis · Mathematics 2013-07-05 Sheehan Olver , Alex Townsend

Based on the intrinsic random property of quantum mechanics, quantum random number generators allow for access of truly unpredictable random sequence and are now heading towards high performance and small miniaturization, among which a…

Consider the setting of \emph{randomly weighted graphs}, namely, graphs whose edge weights are chosen independently according to probability distributions with finite support over the non-negative reals. Under this setting, properties of…

Data Structures and Algorithms · Computer Science 2010-03-30 Yuval Emek , Amos Korman , Yuval Shavitt

The distribution of fracture network is crucial to characterize the behaviors of flow field and solute transport, especially for enhanced geothermal systems, as fractures provide preferential flow paths. However, estimating the parameters…

Geophysics · Physics 2023-02-08 Guodong Chen , Xin Luo , Jiu Jimmy Jiao , Chuanyin Jiang

Variational quantum algorithms use non-convex optimization methods to find the optimal parameters for a parametrized quantum circuit in order to solve a computational problem. The choice of the circuit ansatz, which consists of…

Quantum Physics · Physics 2024-03-13 Roeland Wiersema , Dylan Lewis , David Wierichs , Juan Carrasquilla , Nathan Killoran

This work introduces two new techniques for random number generation with any prescribed nonlinear distribution based on the k-vector methodology. The first approach is based on inverse transform sampling using the optimal k-vector to…

Data Structures and Algorithms · Computer Science 2020-04-07 David Arnas , Carl Leake , Daniele Mortari

Many machine learning methods assume that the training and test data follow the same distribution. However, in the real world, this assumption is very often violated. In particular, the phenomenon that the marginal distribution of the data…

Machine Learning · Computer Science 2023-04-20 Masanari Kimura , Hideitsu Hino