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The solution to partial differential equations using deep learning approaches has shown promising results for several classes of initial and boundary-value problems. However, their ability to surpass, particularly in terms of accuracy,…

数值分析 · 数学 2023-08-23 Ziad Aldirany , Régis Cottereau , Marc Laforest , Serge Prudhomme

Random-effects models are frequently used to synthesise information from different studies in meta-analysis. While likelihood-based inference is attractive both in terms of limiting properties and of implementation, its application in…

应用统计 · 统计学 2018-05-25 Sophia Kyriakou , Ioannis Kosmidis , Nicola Sartori

Distributed machine learning is critical for training deep learning models on large datasets with numerous parameters. Current research primarily focuses on leveraging additional hardware resources and powerful computing units to accelerate…

分布式、并行与集群计算 · 计算机科学 2025-11-03 Kuan-Wei Lu , Ding-Yong Hong , Pangfeng Liu , Jan-Jan Wu

We study high-dimensional mean estimation in a collaborative setting where data is contributed by $N$ users in batches of size $n$. In this environment, a learner seeks to recover the mean $\mu$ of a true distribution $P$ from a collection…

机器学习 · 计算机科学 2026-02-25 Maryam Aliakbarpour , Vladimir Braverman , Yuhan Liu , Junze Yin

Ensembles, where multiple neural networks are trained individually and their predictions are averaged, have been shown to be widely successful for improving both the accuracy and predictive uncertainty of single neural networks. However, an…

机器学习 · 计算机科学 2020-02-21 Yeming Wen , Dustin Tran , Jimmy Ba

Importance sampling is widely used to improve the efficiency of deep neural network (DNN) training by reducing the variance of gradient estimators. However, efficiently assessing the variance reduction relative to uniform sampling remains…

机器学习 · 计算机科学 2025-11-19 Takuro Kutsuna

In many learning applications, data are collected from multiple sources, each providing a \emph{batch} of samples that by itself is insufficient to learn its input-output relationship. A common approach assumes that the sources fall in one…

机器学习 · 计算机科学 2023-09-06 Ayush Jain , Rajat Sen , Weihao Kong , Abhimanyu Das , Alon Orlitsky

Batch normalization (BN) is a milestone technique in deep learning. It normalizes the activation using mini-batch statistics during training but the estimated population statistics during inference. This paper focuses on investigating the…

计算机视觉与模式识别 · 计算机科学 2022-03-22 Lei Huang , Yi Zhou , Tian Wang , Jie Luo , Xianglong Liu

Deep learning has led to remarkable advancements in computational histopathology, e.g., in diagnostics, biomarker prediction, and outcome prognosis. Yet, the lack of annotated data and the impact of batch effects, e.g., systematic technical…

机器学习 · 计算机科学 2024-11-11 Jonah Kömen , Hannah Marienwald , Jonas Dippel , Julius Hense

The purpose of this work is to test and study the hypothesis that residual networks are learning a perturbation from identity. Residual networks are enormously important deep learning models, with many theories attempting to explain how…

神经与进化计算 · 计算机科学 2019-02-13 Michael Hauser

Single-cell RNA-Sequencing (scRNA-Seq) is a revolutionary technique for discovering and describing cell types in heterogeneous tissues, yet its measurement of expression often suffers from large systematic bias. A major source of this bias…

定量方法 · 定量生物学 2016-05-17 Martin Barron , Jun Li

Mini-batch stochastic gradient descent and variants thereof have become standard for large-scale empirical risk minimization like the training of neural networks. These methods are usually used with a constant batch size chosen by simple…

机器学习 · 计算机科学 2017-06-29 Lukas Balles , Javier Romero , Philipp Hennig

Uncertainty estimation for machine learning models is of high importance in many scenarios such as constructing the confidence intervals for model predictions and detection of out-of-distribution or adversarially generated points. In this…

机器学习 · 计算机科学 2022-05-06 Kirill Fedyanin , Evgenii Tsymbalov , Maxim Panov

Stochastic differential equations can describe a wide range of dynamical systems, and obtaining the governing equations of these systems is the premise of studying the nonlinear dynamic behavior of the system. Neural networks are currently…

动力系统 · 数学 2023-04-25 Xiao-Kai An , Lin Du , Zi-Chen Deng , Yu-jia Zhang

Natural images exhibit label diversity (clean vs. noisy) in noisy-labeled image classification and prevalence diversity (abundant vs. sparse) in long-tailed image classification. Similarly, medical images in universal lesion detection (ULD)…

计算机视觉与模式识别 · 计算机科学 2025-05-27 Han Li , Hu Han , S. Kevin Zhou

Recent hardware developments have dramatically increased the scale of data parallelism available for neural network training. Among the simplest ways to harness next-generation hardware is to increase the batch size in standard mini-batch…

Several deep models, esp. the generative, compare the samples from two distributions (e.g. WAE like AutoEncoder models, set-processing deep networks, etc) in their cost functions. Using all these methods one cannot train the model directly…

机器学习 · 计算机科学 2019-06-03 Przemysław Spurek , Szymon Knop , Jacek Tabor , Igor Podolak , Bartosz Wójcik

Batch Normalization (BatchNorm) is an extremely useful component of modern neural network architectures, enabling optimization using higher learning rates and achieving faster convergence. In this paper, we use mean-field theory to…

机器学习 · 计算机科学 2019-03-08 Mingwei Wei , James Stokes , David J Schwab

Random-effects models are frequently used to synthesise information from different studies in meta-analysis. While likelihood-based inference is attractive both in terms of limiting properties and of implementation, its application in…

统计方法学 · 统计学 2018-02-16 Ioannis Kosmidis , Annamaria Guolo , Cristiano Varin

A new efficient ensemble prediction strategy is developed for a general turbulent model framework with emphasis on the nonlinear interactions between large and small scale variables. The high computational cost in running large ensemble…

流体动力学 · 物理学 2023-02-22 Di Qi , Jian-Guo Liu