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We investigate the ability of deep neural networks to identify the support of the target function. Our findings reveal that mini-batch SGD effectively learns the support in the first layer of the network by shrinking to zero the weights…

机器学习 · 计算机科学 2024-06-18 Pierfrancesco Beneventano , Andrea Pinto , Tomaso Poggio

In machine learning models, the estimation of errors is often complex due to distribution bias, particularly in spatial data such as those found in environmental studies. We introduce an approach based on the ideas of importance sampling to…

机器学习 · 计算机科学 2023-09-15 Boris Prokhorov , Diana Koldasbayeva , Alexey Zaytsev

Importance weighting is a standard tool for correcting distribution shift, but its statistical behavior under target shift -- where the label distribution changes between training and testing while the conditional distribution of inputs…

机器学习 · 统计学 2026-03-04 Davit Gogolashvili

With the proliferation of deep convolutional neural network (CNN) algorithms for mobile processing, limited precision quantization has become an essential tool for CNN efficiency. Consequently, various works have sought to design fixed…

机器学习 · 计算机科学 2020-12-01 Stone Yun , Alexander Wong

We present a practical and statistically consistent scheme for actively learning binary classifiers under general loss functions. Our algorithm uses importance weighting to correct sampling bias, and by controlling the variance, we are able…

机器学习 · 计算机科学 2009-05-20 Alina Beygelzimer , Sanjoy Dasgupta , John Langford

Deep neural networks are currently among the most commonly used classifiers. Despite easily achieving very good performance, one of the best selling points of these models is their modular design - one can conveniently adapt their…

机器学习 · 计算机科学 2017-02-21 Katarzyna Janocha , Wojciech Marian Czarnecki

A central challenge to applying many off-policy reinforcement learning algorithms to real world problems is the variance introduced by importance sampling. In off-policy learning, the agent learns about a different policy than the one being…

机器学习 · 计算机科学 2022-06-20 Eric Graves , Sina Ghiassian

The weight initialization and the activation function of deep neural networks have a crucial impact on the performance of the training procedure. An inappropriate selection can lead to the loss of information of the input during forward…

机器学习 · 统计学 2019-05-28 Soufiane Hayou , Arnaud Doucet , Judith Rousseau

Deep generative networks can simulate from a complex target distribution, by minimizing a loss with respect to samples from that distribution. However, often we do not have direct access to our target distribution - our data may be subject…

This paper examines the quantization methods used in large-scale data analysis models and their hyperparameter choices. The recent surge in data analysis scale has significantly increased computational resource requirements. To address…

机器学习 · 统计学 2024-01-31 Shuhei Kashiwamura , Ayaka Sakata , Masaaki Imaizumi

Despite Deep Learning's (DL) empirical success, our theoretical understanding of its efficacy remains limited. One notable paradox is that while conventional wisdom discourages perfect data fitting, deep neural networks are designed to do…

机器学习 · 计算机科学 2024-02-06 Oria Gruber , Haim Avron

Humans are able to accelerate their learning by selecting training materials that are the most informative and at the appropriate level of difficulty. We propose a framework for distributing deep learning in which one set of workers search…

机器学习 · 统计学 2016-04-19 Guillaume Alain , Alex Lamb , Chinnadhurai Sankar , Aaron Courville , Yoshua Bengio

While deep learning is successful in a number of applications, it is not yet well understood theoretically. A satisfactory theoretical characterization of deep learning however, is beginning to emerge. It covers the following questions: 1)…

机器学习 · 计算机科学 2019-08-27 Tomaso Poggio , Andrzej Banburski , Qianli Liao

Long iterative training processes for Deep Neural Networks (DNNs) are commonly required to achieve state-of-the-art performance in many computer vision tasks. Importance sampling approaches might play a key role in budgeted training…

计算机视觉与模式识别 · 计算机科学 2021-10-28 Eric Arazo , Diego Ortego , Paul Albert , Noel E. O'Connor , Kevin McGuinness

Deep neural networks, when optimized with sufficient data, provide accurate representations of high-dimensional functions; in contrast, function approximation techniques that have predominated in scientific computing do not scale well with…

数据分析、统计与概率 · 物理学 2021-03-15 Grant M. Rotskoff , Andrew R. Mitchell , Eric Vanden-Eijnden

Influence functions approximate the effect of training samples in test-time predictions and have a wide variety of applications in machine learning interpretability and uncertainty estimation. A commonly-used (first-order) influence…

机器学习 · 计算机科学 2021-02-12 Samyadeep Basu , Philip Pope , Soheil Feizi

An importance weight quantifies the relative importance of one example over another, coming up in applications of boosting, asymmetric classification costs, reductions, and active learning. The standard approach for dealing with importance…

机器学习 · 计算机科学 2011-06-21 Nikos Karampatziakis , John Langford

A key assumption in supervised learning is that training and test data follow the same probability distribution. However, this fundamental assumption is not always satisfied in practice, e.g., due to changing environments, sample selection…

机器学习 · 计算机科学 2021-12-21 Nan Lu , Tianyi Zhang , Tongtong Fang , Takeshi Teshima , Masashi Sugiyama

We examine the role of memorization in deep learning, drawing connections to capacity, generalization, and adversarial robustness. While deep networks are capable of memorizing noise data, our results suggest that they tend to prioritize…

While the success of deep neural networks (DNNs) is well-established across a variety of domains, our ability to explain and interpret these methods is limited. Unlike previously proposed local methods which try to explain particular…

机器学习 · 统计学 2020-04-29 Jonathan Ish-Horowicz , Dana Udwin , Seth Flaxman , Sarah Filippi , Lorin Crawford