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When optimizing over-parameterized models, such as deep neural networks, a large set of parameters can achieve zero training error. In such cases, the choice of the optimization algorithm and its respective hyper-parameters introduces…

机器学习 · 计算机科学 2019-12-06 Gauthier Gidel , Francis Bach , Simon Lacoste-Julien

A residual network (or ResNet) is a standard deep neural net architecture, with state-of-the-art performance across numerous applications. The main premise of ResNets is that they allow the training of each layer to focus on fitting just…

机器学习 · 计算机科学 2018-09-28 Ohad Shamir

In this effort we propose a novel approach for reconstructing multivariate functions from training data, by identifying both a suitable network architecture and an initialization using polynomial-based approximations. Training deep neural…

机器学习 · 计算机科学 2019-05-29 Joseph Daws , Clayton G. Webster

Deep learning has seen tremendous success over the past decade in computer vision, machine translation, and gameplay. This success rests in crucial ways on gradient-descent optimization and the ability to learn parameters of a neural…

机器学习 · 计算机科学 2019-08-30 Fei Wang , Daniel Zheng , James Decker , Xilun Wu , Grégory M. Essertel , Tiark Rompf

Deep learning's successes are often attributed to its ability to automatically discover new representations of the data, rather than relying on handcrafted features like other learning methods. We show, however, that deep networks learned…

机器学习 · 计算机科学 2020-12-02 Pedro Domingos

The success of state-of-the-art machine learning is essentially all based on different variations of gradient descent algorithms that minimize some version of a cost or loss function. A fundamental limitation, however, is the need to train…

Popular approaches for minimizing loss in data-driven learning often involve an abstraction or an explicit retention of the history of gradients for efficient parameter updates. The aggregated history of gradients nudges the parameter…

机器学习 · 计算机科学 2021-06-22 Paul-Aymeric McRae , Prasanna Parthasarathi , Mahmoud Assran , Sarath Chandar

We propose a novel method that makes use of deep neural networks and gradient decent to perform automated design on complex real world engineering tasks. Our approach works by training a neural network to mimic the fitness function of a…

机器学习 · 统计学 2017-10-31 Oliver Hennigh

Conventional wisdom in deep learning states that increasing depth improves expressiveness but complicates optimization. This paper suggests that, sometimes, increasing depth can speed up optimization. The effect of depth on optimization is…

机器学习 · 计算机科学 2018-06-12 Sanjeev Arora , Nadav Cohen , Elad Hazan

In recent years, artificial neural networks have developed into a powerful tool for addressing a multitude of problems for which classical solution approaches reach their limits. However, it is still unclear why gradient descent…

机器学习 · 计算机科学 2026-05-20 Arnulf Jentzen , Timo Kröger

Deep learning optimizers are often motivated through a mix of convex and approximate second-order theory. We select three such methods -- Adam, Shampoo and Prodigy -- and argue that each method can instead be understood as a squarely…

机器学习 · 计算机科学 2024-12-09 Jeremy Bernstein , Laker Newhouse

Adaptive gradient methods have become popular in optimizing deep neural networks; recent examples include AdaGrad and Adam. Although Adam usually converges faster, variations of Adam, for instance, the AdaBelief algorithm, have been…

机器学习 · 计算机科学 2024-10-29 Kushal Chakrabarti , Nikhil Chopra

Deep neural networks are workhorse models in machine learning with multiple layers of non-linear functions composed in series. Their loss function is highly non-convex, yet empirically even gradient descent minimisation is sufficient to…

无序系统与神经网络 · 物理学 2020-03-18 Simon Becker , Yao Zhang , Alpha A. Lee

In this paper, we propose an algorithmic framework to automatically generate efficient deep neural networks and optimize their associated hyperparameters. The framework is based on evolving directed acyclic graphs (DAGs), defining a more…

神经与进化计算 · 计算机科学 2024-05-15 Julie Keisler , El-Ghazali Talbi , Sandra Claudel , Gilles Cabriel

In comparison to classical shallow representation learning techniques, deep neural networks have achieved superior performance in nearly every application benchmark. But despite their clear empirical advantages, it is still not well…

机器学习 · 计算机科学 2022-01-11 Calvin Murdock , George Cazenavette , Simon Lucey

Natural gradient descent is a principled method for adapting the parameters of a statistical model on-line using an underlying Riemannian parameter space to redefine the direction of steepest descent. The algorithm is examined via methods…

无序系统与神经网络 · 物理学 2009-10-31 Magnus Rattray , David Saad

Mirror descent is an elegant optimization technique that leverages a dual space of parametric models to perform gradient descent. While originally developed for convex optimization, it has increasingly been applied in the field of machine…

机器学习 · 计算机科学 2023-05-10 Hyungjoon Soh , Dongyeob Kim , Juno Hwang , Junghyo Jo

The history of deep learning has shown that human-designed problem-specific networks can greatly improve the classification performance of general neural models. In most practical cases, however, choosing the optimal architecture for a…

机器学习 · 计算机科学 2020-09-14 Nicolo Colombo , Yang Gao

We evaluate natural gradient, an algorithm originally proposed in Amari (1997), for learning deep models. The contributions of this paper are as follows. We show the connection between natural gradient and three other recently proposed…

机器学习 · 计算机科学 2014-02-18 Razvan Pascanu , Yoshua Bengio

Convolutional Neural Networks has been implemented in many complex machine learning takes such as image classification, object identification, autonomous vehicle and robotic vision tasks. However, ConvNet architecture efficiency and…

计算机视觉与模式识别 · 计算机科学 2018-01-08 Pushparaja Murugan