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Analysis of large data collections using popular machine learning and statistical algorithms has been a topic of increasing research interest. A typical analysis workload consists of applying an algorithm to build a model on a data…

数据库 · 计算机科学 2015-09-18 Priyank Gupta , Nick Koudas , Europa Shang , Ryan Johnson , Calisto Zuzarte

Sample-average approximations (SAA) are a practical means of finding approximate solutions of stochastic programming problems involving an extremely large (or infinite) number of scenarios. SAA can also be used to find estimates of a lower…

其他统计学 · 统计学 2014-05-08 Jiajie Chen , Cong Han Lim , Peter Z. G. Qian , Jeff Linderoth , Stephen J. Wright

In the context of the graph matching problem we propose a novel method for projecting a matrix $Q$, which may be a doubly stochastic matrix, to a permutation matrix $P.$ We observe that there is an intuitve mapping, depending on a given…

应用统计 · 统计学 2016-04-15 R. J. Wolstenholme , A. T. Walden

Rational approximation appears in many contexts throughout science and engineering, playing a central role in linear systems theory, special function approximation, and many others. There are many existing methods for solving the rational…

数值分析 · 数学 2018-12-03 Jeffrey M. Hokanson , Caleb C. Magruder

Existing deep-learning approaches to semantic column type annotation (CTA) have important shortcomings: they rely on semantic types which are fixed at training time; require a large number of training samples per type and incur large…

计算与语言 · 计算机科学 2024-08-20 Benjamin Feuer , Yurong Liu , Chinmay Hegde , Juliana Freire

The purpose of this text is to provide an accessible introduction to a set of recently developed algorithms for factorizing matrices. These new algorithms attain high practical speed by reducing the dimensionality of intermediate…

数值分析 · 数学 2019-02-08 Per-Gunnar Martinsson

Several recent unsupervised learning methods use probabilistic approaches to solve combinatorial optimization (CO) problems based on the assumption of statistically independent solution variables. We demonstrate that this assumption imposes…

机器学习 · 计算机科学 2023-11-27 Sebastian Sanokowski , Wilhelm Berghammer , Sepp Hochreiter , Sebastian Lehner

We propose a novel sampling framework for inference in probabilistic models: an active learning approach that converges more quickly (in wall-clock time) than Markov chain Monte Carlo (MCMC) benchmarks. The central challenge in…

机器学习 · 统计学 2014-11-04 Tom Gunter , Michael A. Osborne , Roman Garnett , Philipp Hennig , Stephen J. Roberts

We introduce a new procedure for training of artificial neural networks by using the approximation of an objective function by arithmetic mean of an ensemble of selected randomly generated neural networks, and apply this procedure to the…

神经与进化计算 · 计算机科学 2012-02-21 S. V. Kozyrev

Substantial progress has been made recently on developing provably accurate and efficient algorithms for low-rank matrix factorization via nonconvex optimization. While conventional wisdom often takes a dim view of nonconvex optimization…

机器学习 · 计算机科学 2019-10-23 Yuejie Chi , Yue M. Lu , Yuxin Chen

Data-driven algorithm selection is a powerful approach for choosing effective heuristics for computational problems. It operates by evaluating a set of candidate algorithms on a collection of representative training instances and selecting…

机器学习 · 计算机科学 2025-12-04 Vaggos Chatziafratis , Ishani Karmarkar , Yingxi Li , Ellen Vitercik

Traditional initialisation methods, e.g. He and Xavier, have been effective in avoiding the problem of vanishing or exploding gradients in neural networks. However, they only use simple pointwise distributions, which model one-dimensional…

计算机视觉与模式识别 · 计算机科学 2023-10-26 Christian Harder , Moritz Fuchs , Yuri Tolkach , Anirban Mukhopadhyay

Low-rank approximation of a matrix by means of random sampling has been consistently efficient in its empirical studies by many scientists who applied it with various sparse and structured multipliers, but adequate formal support for this…

数值分析 · 数学 2016-06-07 Victor Y. Pan , Liang Zhao

We study Gaussian-copula models with discrete margins, with primary emphasis on low-count (Poisson) data. Our goal is exact yet computationally efficient maximum likelihood (ML) estimation in regimes where many observations contain small…

统计方法学 · 统计学 2025-11-18 Anna van Es , Eva Cantoni

Symbolic data analysis (SDA) aggregates large individual-level datasets into a small number of distributional summaries, such as random rectangles or random histograms. The inference is carried out using these summaries in place of the…

统计方法学 · 统计学 2026-04-02 Yu Yang , Matias Quiroz , Boris Beranger , Robert Kohn , Scott A. Sisson

One of the main problems of importance sampling in Bayesian networks is representation of the importance function, which should ideally be as close as possible to the posterior joint distribution. Typically, we represent an importance…

人工智能 · 计算机科学 2012-07-09 Changhe Yuan , Marek J. Druzdzel

A generic algorithm for the extraction of probabilistic (Bayesian) information about model parameters from data is presented. The algorithm propagates an ensemble of particles in the product space of model parameters and outputs. Each…

统计计算 · 统计学 2015-09-18 Carlo Albert

Despite the popularity of Shapley Values in explaining neural text classification models, computing them is prohibitive for large pretrained models due to a large number of model evaluations. In practice, Shapley Values are often estimated…

计算与语言 · 计算机科学 2023-06-01 Chenghao Yang , Fan Yin , He He , Kai-Wei Chang , Xiaofei Ma , Bing Xiang

This work proposes an implementable proximal-type method for a broad class of optimization problems involving nonsmooth and nonconvex objective and constraint functions. In contrast to existing methods that rely on an ad hoc model…

最优化与控制 · 数学 2024-09-26 Gregorio M. Sempere , Welington de Oliveira , Johannes O. Royset

We propose a framework for online meta-optimization of parameters that govern optimization, called Amortized Proximal Optimization (APO). We first interpret various existing neural network optimizers as approximate stochastic proximal point…

机器学习 · 计算机科学 2022-03-02 Juhan Bae , Paul Vicol , Jeff Z. HaoChen , Roger Grosse