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Much recent research has been conducted in the area of Bayesian learning, particularly with regard to the optimization of hyper-parameters via Gaussian process regression. The methodologies rely chiefly on the method of maximizing the…

机器学习 · 统计学 2014-05-13 James Brofos

This paper investigates the optimal signal detection problem with a particular interest in large-scale multiple-input multiple-output (MIMO) systems. The problem is NP-hard and can be solved optimally by searching the shortest path on the…

机器学习 · 计算机科学 2022-03-22 Le He , Ke He , Lisheng Fan , Xianfu Lei , Arumugam Nallanathan , George K. Karagiannidis

In this paper, we study the problem of estimating uniformly well the mean values of several distributions given a finite budget of samples. If the variance of the distributions were known, one could design an optimal sampling strategy by…

Given a finite set of unknown distributions or arms that can be sampled, we consider the problem of identifying the one with the maximum mean using a $\delta$-correct algorithm (an adaptive, sequential algorithm that restricts the…

机器学习 · 计算机科学 2023-11-27 Shubhada Agrawal , Sandeep Juneja , Peter Glynn

A plethora of problems in AI, engineering and the sciences are naturally formalized as inference in discrete probabilistic models. Exact inference is often prohibitively expensive, as it may require evaluating the (unnormalized) target…

机器学习 · 计算机科学 2019-10-16 Lars Buesing , Nicolas Heess , Theophane Weber

HEP event selection is traditionally considered a binary classification problem, involving the dichotomous categories of signal and background. In distribution fits for particle masses or couplings, however, signal events are not all…

数据分析、统计与概率 · 物理学 2020-11-20 Andrea Valassi

In this paper, we apply the Monte Carlo stochastic optimization (MOST) proposed by the authors to a deep learning of XOR gate and verify its effectiveness. Deep machine learning based on neural networks is one of the most important keywords…

机器学习 · 计算机科学 2021-09-07 Sin-ichi Inage , Hana Hebishima

This work pushes the boundaries of learning-based methods in autonomous robot exploration in terms of environmental scale and exploration efficiency. We present HEADER, an attention-based reinforcement learning approach with hierarchical…

机器人学 · 计算机科学 2025-10-20 Yuhong Cao , Yizhuo Wang , Jingsong Liang , Shuhao Liao , Yifeng Zhang , Peizhuo Li , Guillaume Sartoretti

A key problem in the theory of meta-learning is to understand how the task distributions influence transfer risk, the expected error of a meta-learner on a new task drawn from the unknown task distribution. In this paper, focusing on fixed…

机器学习 · 统计学 2021-06-15 Mikhail Konobeev , Ilja Kuzborskij , Csaba Szepesvári

There is growing interest in improving our algorithmic understanding of fundamental statistical problems such as mean estimation, driven by the goal of understanding the limits of what we can extract from valuable data. The state of the art…

统计理论 · 数学 2023-11-22 Trung Dang , Jasper C. H. Lee , Maoyuan Song , Paul Valiant

We construct team-optimal estimation algorithms over distributed networks for state estimation in the finite-horizon mean-square error (MSE) sense. Here, we have a distributed collection of agents with processing and cooperation…

系统与控制 · 计算机科学 2017-01-10 Muhammed O. Sayin , Suleyman S. Kozat , Tamer Başar

The exponential growth of volume, variety and velocity of data is raising the need for investigations of automated or semi-automated ways to extract useful patterns from the data. It requires deep expert knowledge and extensive…

机器学习 · 计算机科学 2020-07-22 Abbas Raza Ali , Marcin Budka , Bogdan Gabrys

A key difficulty that arises from real event data is imprecision in the recording of event time-stamps. In many cases, retaining event times with a high precision is expensive due to the sheer volume of activity. Combined with practical…

统计方法学 · 统计学 2020-01-22 Leigh Shlomovich , Edward Cohen , Niall Adams , Lekha Patel

A common approach to statistical learning with big-data is to randomly split it among $m$ machines and learn the parameter of interest by averaging the $m$ individual estimates. In this paper, focusing on empirical risk minimization, or…

机器学习 · 统计学 2016-06-14 Jonathan Rosenblatt , Boaz Nadler

We propose an improved estimator for the multi-task averaging problem, whose goal is the joint estimation of the means of multiple distributions using separate, independent data sets. The naive approach is to take the empirical mean of each…

机器学习 · 统计学 2020-11-16 Hannah Marienwald , Jean-Baptiste Fermanian , Gilles Blanchard

A typical assumption in supervised machine learning is that the train (source) and test (target) datasets follow completely the same distribution. This assumption is, however, often violated in uncertain real-world applications, which…

机器学习 · 计算机科学 2021-08-17 Masahiro Nomura , Yuta Saito

Multi-fidelity methods that use an ensemble of models to compute a Monte Carlo estimator of the expectation of a high-fidelity model can significantly reduce computational costs compared to single-model approaches. These methods use oracle…

统计计算 · 统计学 2026-03-12 Thomas Dixon , Alex Gorodetsky , John Jakeman , Akil Narayan , Yiming Xu

As a technique that can compactly represent complex patterns, machine learning has significant potential for predictive inference. K-fold cross-validation (CV) is the most common approach to ascertaining the likelihood that a machine…

机器学习 · 统计学 2026-04-24 Juan M Gorriz , R. Martin Clemente , F Segovia , J Ramirez , A Ortiz , J. Suckling

We investigate the finite sample performance of sample splitting, cross-fitting and averaging for the estimation of the conditional average treatment effect. Recently proposed methods, so-called meta-learners, make use of machine learning…

统计方法学 · 统计学 2020-08-27 Daniel Jacob

Huber regression (HR) is a popular robust alternative to the least squares regression when the error follows a heavy-tailed distribution. We propose a new method called the enveloped Huber regression (EHR) by considering the envelope…

统计方法学 · 统计学 2020-11-03 Le Zhou , R. Dennis Cook , Hui Zou
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