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相关论文: Bias-Variance Tradeoffs in Single-Sample Binary Gr…

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Stochastic neurons can be useful for a number of reasons in deep learning models, but in many cases they pose a challenging problem: how to estimate the gradient of a loss function with respect to the input of such stochastic neurons, i.e.,…

机器学习 · 计算机科学 2013-05-15 Yoshua Bengio

Stochastic Gradient Descent (SGD) is arguably the most important single algorithm in modern machine learning. Although SGD with unbiased gradient estimators has been studied extensively over at least half a century, SGD variants relying on…

机器学习 · 计算机科学 2023-05-26 Yury Demidovich , Grigory Malinovsky , Igor Sokolov , Peter Richtárik

Variational approaches based on neural networks are showing promise for estimating mutual information (MI) between high dimensional variables. However, they can be difficult to use in practice due to poorly understood bias/variance…

机器学习 · 计算机科学 2020-03-25 Jiaming Song , Stefano Ermon

The Straight-Through Estimator (STE) is the dominant method for training neural networks with discrete variables, enabling gradient-based optimisation by routing gradients through a differentiable surrogate. However, existing STE variants…

机器学习 · 计算机科学 2026-02-24 Rushi Shah , Mingyuan Yan , Michael Curtis Mozer , Dianbo Liu

Stochastic neurons and hard non-linearities can be useful for a number of reasons in deep learning models, but in many cases they pose a challenging problem: how to estimate the gradient of a loss function with respect to the input of such…

机器学习 · 计算机科学 2013-08-16 Yoshua Bengio , Nicholas Léonard , Aaron Courville

The Doubly Robust (DR) estimation of ATE can be carried out in 2 steps, where in the first step, the treatment and outcome are modeled, and in the second step the predictions are inserted into the DR estimator. The model misspecification in…

统计方法学 · 统计学 2021-08-03 Mehdi Rostami , Olli Saarela , Michael Escobar

Breakthroughs in machine learning are rapidly changing science and society, yet our fundamental understanding of this technology has lagged far behind. Indeed, one of the central tenets of the field, the bias-variance trade-off, appears to…

机器学习 · 统计学 2022-06-08 Mikhail Belkin , Daniel Hsu , Siyuan Ma , Soumik Mandal

Normalising flows (NFs) for discrete data are challenging because parameterising bijective transformations of discrete variables requires predicting discrete/integer parameters. Having a neural network architecture predict discrete…

机器学习 · 计算机科学 2020-06-12 Rob Hesselink , Wilker Aziz

Training large-scale mixture of experts models efficiently on modern hardware requires assigning datapoints in a batch to different experts, each with a limited capacity. Recently proposed assignment procedures lack a probabilistic…

机器学习 · 计算机科学 2021-12-09 Wouter Kool , Chris J. Maddison , Andriy Mnih

Data-driven stochastic optimization is ubiquitous in machine learning and operational decision-making problems. Sample average approximation (SAA) and model-based approaches such as estimate-then-optimize (ETO) or integrated…

机器学习 · 统计学 2025-10-22 Haixiang Lan , Luofeng Liao , Adam N. Elmachtoub , Christian Kroer , Henry Lam , Haofeng Zhang

As we exhaust methods that reduces variance without introducing bias, reducing variance in experiments often requires accepting some bias, using methods like winsorization or surrogate metrics. While this bias-variance tradeoff can be…

统计方法学 · 统计学 2025-11-05 Daniel Ting , Kenneth Hung

The classical bias-variance trade-off predicts that bias decreases and variance increase with model complexity, leading to a U-shaped risk curve. Recent work calls this into question for neural networks and other over-parameterized models,…

机器学习 · 计算机科学 2020-12-09 Zitong Yang , Yaodong Yu , Chong You , Jacob Steinhardt , Yi Ma

Self-paced learning and hard example mining re-weight training instances to improve learning accuracy. This paper presents two improved alternatives based on lightweight estimates of sample uncertainty in stochastic gradient descent (SGD):…

机器学习 · 统计学 2018-01-09 Haw-Shiuan Chang , Erik Learned-Miller , Andrew McCallum

Applications that deal with sensitive information may have restrictions placed on the data available to a machine learning (ML) classifier. For example, in some applications, a classifier may not have direct access to sensitive attributes,…

Poisson-distributed latent variable models are widely used in computational neuroscience, but differentiating through discrete stochastic samples remains challenging. Two approaches address this: Exponential Arrival Time (EAT) simulation…

机器学习 · 统计学 2026-02-05 Michael Ibrahim , Hanqi Zhao , Eli Sennesh , Zhi Li , Anqi Wu , Jacob L. Yates , Chengrui Li , Hadi Vafaii

When using machine learning for automated prediction, it is important to account for fairness in the prediction. Fairness in machine learning aims to ensure that biases in the data and model inaccuracies do not lead to discriminatory…

机器学习 · 计算机科学 2024-12-10 Jan Pablo Burgard , João Vitor Pamplona

Injecting discrete logical constraints into neural network learning is one of the main challenges in neuro-symbolic AI. We find that a straight-through-estimator, a method introduced to train binary neural networks, could effectively be…

人工智能 · 计算机科学 2023-07-11 Zhun Yang , Joohyung Lee , Chiyoun Park

When a Genetic Algorithm (GA), or a stochastic algorithm in general, is employed in a statistical problem, the obtained result is affected by both variability due to sampling, that refers to the fact that only a sample is observed, and…

统计计算 · 统计学 2019-03-07 Manuel Rizzo , Francesco Battaglia

Prior studies have unveiled the vulnerability of the deep neural networks in the context of adversarial machine learning, leading to great recent attention into this area. One interesting question that has yet to be fully explored is the…

An influential line of recent work has focused on the generalization properties of unregularized gradient-based learning procedures applied to separable linear classification with exponentially-tailed loss functions. The ability of such…

机器学习 · 计算机科学 2022-06-24 Matan Schliserman , Tomer Koren