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The goal of this paper is to debunk and dispel the magic behind black-box optimizers and stochastic optimizers. It aims to build a solid foundation on how and why the techniques work. This manuscript crystallizes this knowledge by deriving…

机器学习 · 计算机科学 2024-01-15 Jun Lu

Stochastic-gradient sampling methods are often used to perform Bayesian inference on neural networks. It has been observed that the methods in which notions of differential geometry are included tend to have better performances, with the…

机器学习 · 计算机科学 2024-04-02 Hanlin Yu , Marcelo Hartmann , Bernardo Williams , Arto Klami

Conditional stochastic optimization covers a variety of applications ranging from invariant learning and causal inference to meta-learning. However, constructing unbiased gradient estimators for such problems is challenging due to the…

最优化与控制 · 数学 2024-06-04 Yifan Hu , Siqi Zhang , Xin Chen , Niao He

Sparsification of neural networks is one of the effective complexity reduction methods to improve efficiency and generalizability. Binarized activation offers an additional computational saving for inference. Due to vanishing gradient issue…

最优化与控制 · 数学 2019-02-12 Thu Dinh , Jack Xin

Modern large scale machine learning applications require stochastic optimization algorithms to be implemented on distributed computational architectures. A key bottleneck is the communication overhead for exchanging information such as…

机器学习 · 计算机科学 2017-10-31 Jianqiao Wangni , Jialei Wang , Ji Liu , Tong Zhang

Binarized Neural Networks, a recently discovered class of neural networks with minimal memory requirements and no reliance on multiplication, are a fantastic opportunity for the realization of compact and energy efficient inference…

We introduce a novel training principle for probabilistic models that is an alternative to maximum likelihood. The proposed Generative Stochastic Networks (GSN) framework is based on learning the transition operator of a Markov chain whose…

The paper considers nonparametric kernel density/regression estimation from a stochastic optimization point of view. The estimation problem is represented through a family of stochastic optimization problems. Recursive constrained…

统计理论 · 数学 2024-09-05 Vladimir Norkin , Vladimir Kirilyuk

Stochastic gradient algorithms have been the main focus of large-scale learning problems and they led to important successes in machine learning. The convergence of SGD depends on the careful choice of learning rate and the amount of the…

机器学习 · 计算机科学 2015-11-03 Caglar Gulcehre , Marcin Moczulski , Yoshua Bengio

The ability to backpropagate stochastic gradients through continuous latent distributions has been crucial to the emergence of variational autoencoders and stochastic gradient variational Bayes. The key ingredient is an unbiased and…

神经与进化计算 · 计算机科学 2016-07-20 Alex Graves

Turning the weights to zero when training a neural network helps in reducing the computational complexity at inference. To progressively increase the sparsity ratio in the network without causing sharp weight discontinuities during…

计算机视觉与模式识别 · 计算机科学 2023-01-25 Antoine Vanderschueren , Christophe De Vleeschouwer

Large-batch stochastic gradient descent (SGD) is widely used for training in distributed deep learning because of its training-time efficiency, however, extremely large-batch SGD leads to poor generalization and easily converges to sharp…

机器学习 · 计算机科学 2019-06-27 Kosuke Haruki , Taiji Suzuki , Yohei Hamakawa , Takeshi Toda , Ryuji Sakai , Masahiro Ozawa , Mitsuhiro Kimura

Stochastic Gradient Descent (SGD) has proven to be remarkably effective in optimizing deep neural networks that employ ever-larger numbers of parameters. Yet, improving the efficiency of large-scale optimization remains a vital and highly…

机器学习 · 计算机科学 2020-11-11 Frithjof Gressmann , Zach Eaton-Rosen , Carlo Luschi

Time series forecasting based on deep architectures has been gaining popularity in recent years due to their ability to model complex non-linear temporal dynamics. The recurrent neural network is one such model capable of handling…

机器学习 · 计算机科学 2021-06-28 Zexuan Yin , Paolo Barucca

An important class of problems involves training deep neural networks with sparse prediction targets of very high dimension D. These occur naturally in e.g. neural language models or the learning of word-embeddings, often posed as…

神经与进化计算 · 计算机科学 2016-06-28 Pascal Vincent , Alexandre de Brébisson , Xavier Bouthillier

Due to the substantial computational cost, training state-of-the-art deep neural networks for large-scale datasets often requires distributed training using multiple computation workers. However, by nature, workers need to frequently…

机器学习 · 计算机科学 2018-02-21 Yusuke Tsuzuku , Hiroto Imachi , Takuya Akiba

Gating mechanisms are widely used in neural network models, where they allow gradients to backpropagate more easily through depth or time. However, their saturation property introduces problems of its own. For example, in recurrent models…

神经与进化计算 · 计算机科学 2020-06-22 Albert Gu , Caglar Gulcehre , Tom Le Paine , Matt Hoffman , Razvan Pascanu

Neural-network models of high-level brain functions such as memory recall and reasoning often rely on the presence of stochasticity. The majority of these models assumes that each neuron in the functional network is equipped with its own…

Gradient descent has been a central training principle for artificial neural networks from the early beginnings to today's deep learning networks. The most common implementation is the backpropagation algorithm for training feed-forward…

机器学习 · 计算机科学 2020-06-09 Stefan Jaeger

Low precision weights, activations, and gradients have been proposed as a way to improve the computational efficiency and memory footprint of deep neural networks. Recently, low precision networks have even shown to be more robust to…

机器学习 · 计算机科学 2018-07-04 Griffin Lacey , Graham W. Taylor , Shawki Areibi