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In this paper, we study the problem of question answering when reasoning over multiple facts is required. We propose Query-Reduction Network (QRN), a variant of Recurrent Neural Network (RNN) that effectively handles both short-term (local)…

计算与语言 · 计算机科学 2017-02-28 Minjoon Seo , Sewon Min , Ali Farhadi , Hannaneh Hajishirzi

Computer system simulation studies routinely rely on executing a limited number of short application regions, since full end-to-end simulation is prohibitively time-consuming. To preserve representativeness, existing methods employ either…

硬件体系结构 · 计算机科学 2026-03-25 Magnus Ekman

The VQE algorithm has turned out to be quite expensive to run given the way we currently access quantum processors (i.e. over the cloud). In order to alleviate this issue, we introduce Quantum Sampling Regression (QSR), an alternative…

量子物理 · 物理学 2020-12-07 Pedro Rivero , Ian C. Cloët , Zack Sullivan

While uniform sampling has been widely studied in the matrix completion literature, CUR sampling approximates a low-rank matrix via row and column samples. Unfortunately, both sampling models lack flexibility for various circumstances in…

机器学习 · 计算机科学 2025-04-17 HanQin Cai , Longxiu Huang , Pengyu Li , Deanna Needell

Model checking plays an important role in linear regression as model misspecification seriously affects the validity and efficiency of regression analysis. In practice, model checking is often performed by subjectively evaluating the plot…

统计理论 · 数学 2019-11-19 Rok Blagus , Jakob Peterlin , Janez Stare

A way to lower computational cost in large scale inverse problems and problems depending on poorly known model parameters is to replace the detailed model by an approximate one. Inverse problems are typically ill-posed, and the model…

数值分析 · 数学 2026-04-30 Daniela Calvetti , Erkki Somersalo

This paper provides a statistical analysis of high-dimensional batch Reinforcement Learning (RL) using sparse linear function approximation. When there is a large number of candidate features, our result sheds light on the fact that…

机器学习 · 计算机科学 2020-11-10 Botao Hao , Yaqi Duan , Tor Lattimore , Csaba Szepesvári , Mengdi Wang

The construction of computer models (mathematical models implemented in computer codes), with respect to observed phenomena, is usually undertaken by building different variants depending on modeller sensibility, and choosing the one…

统计方法学 · 统计学 2018-03-28 Filippo Monari

Causal representation learning (CRL) enhances machine learning models' robustness and generalizability by learning structural causal models associated with data-generating processes. We focus on a family of CRL methods that uses contrastive…

机器学习 · 统计学 2025-03-17 Xiusi Li , Sékou-Oumar Kaba , Siamak Ravanbakhsh

Approximate Bayesian computation (ABC) methods make use of comparisons between simulated and observed summary statistics to overcome the problem of computationally intractable likelihood functions. As the practical implementation of ABC…

统计方法学 · 统计学 2013-06-12 M. G. B. Blum , M. A. Nunes , D. Prangle , S. A. Sisson

Modern software for propositional satisfiability problems gives a powerful automated reasoning toolkit, capable of outputting not only a satisfiable/unsatisfiable signal but also a justification of unsatisfiability in the form of resolution…

We consider a linear regression $y=X\beta+u$ where $X\in\mathbb{\mathbb{{R}}}^{n\times p}$, $p\gg n,$ and $\beta$ is $s$-sparse. Motivated by examples in financial and economic data, we consider the situation where $X$ has highly correlated…

信息论 · 计算机科学 2015-04-07 Behrooz Ghorbani , Ozgur Yilmaz

Large-sample data became prevalent as data acquisition became cheaper and easier. While a large sample size has theoretical advantages for many statistical methods, it presents computational challenges. Sketching, or compression, is a…

机器学习 · 统计学 2020-05-11 Alexander F. Lapanowski , Irina Gaynanova

Reinforcement Learning (RL) controllers have generated excitement within the control community. The primary advantage of RL controllers relative to existing methods is their ability to optimize uncertain systems independently of explicit…

机器学习 · 计算机科学 2021-12-07 Max Mowbray , Panagiotis Petsagkourakis , Ehecatl Antonio del Río Chanona , Dongda Zhang

This paper proposes a novel uncertainty quantification framework for computationally demanding systems characterized by a large vector of non-Gaussian uncertainties. It combines state-of-the-art techniques in advanced Monte Carlo sampling…

统计计算 · 统计学 2018-03-05 Phaedon-Stelios Koutsourelakis

Quadratic regression (QR) models naturally extend linear models by considering interaction effects between the covariates. To conduct model selection in QR, it is important to maintain the hierarchical model structure between main effects…

统计方法学 · 统计学 2016-07-15 Ning Hao , Yang Feng , Hao Helen Zhang

We present a novel technique for tailoring Bayesian quadrature (BQ) to model selection. The state-of-the-art for comparing the evidence of multiple models relies on Monte Carlo methods, which converge slowly and are unreliable for…

机器学习 · 计算机科学 2019-03-04 Henry Chai , Jean-Francois Ton , Roman Garnett , Michael A. Osborne

Consider a linear model $Y=X\beta+z$, where $X=X_{n,p}$ and $z\sim N(0,I_n)$. The vector $\beta$ is unknown but is sparse in the sense that most of its coordinates are $0$. The main interest is to separate its nonzero coordinates from the…

统计理论 · 数学 2015-03-20 Zheng Tracy Ke , Jiashun Jin , Jianqing Fan

Cross-validation (CV) is a popular approach for assessing and selecting predictive models. However, when the number of folds is large, CV suffers from a need to repeatedly refit a learning procedure on a large number of training datasets.…

机器学习 · 统计学 2020-06-12 Ashia Wilson , Maximilian Kasy , Lester Mackey

In microbiome studies, one of the ways of studying bacterial abundances is to estimate bacterial composition based on the sequencing read counts. Various transformations are then applied to such compositional data for downstream statistical…

统计方法学 · 统计学 2021-06-17 Yezheng Li , Hongzhe Li , Yuanpei Cao