The loss surface of multilayer networks
SpletNeural networks with linear activation functions and square loss will yield convex optimization (if my memory serves me right also for radial basis function networks with fixed variances). However neural networks are mostly used with non-linear activation functions (i.e. sigmoid), hence the optimization becomes non-convex. $\endgroup$ Splet13. jul. 2024 · 补了一下Yann LeCun的经典工作The Loss Surfaces of Multilayer Networks[1] 痛点 文章假设并且陆续证明了这样一些事情： 1）对于大网络(large size network)而言， …
The loss surface of multilayer networks
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Splet2.3m members in the MachineLearning community. Press J to jump to the feed. Press question mark to learn the rest of the keyboard shortcuts SpletThe Loss Surfaces of Multilayer Networks trix theory applied to the analysis of critical points in high degree polynomials on the sphere. We rst establish that the loss function …
SpletThe loss surfaces of deep neural networks (DNNs) are highly non-convex and can depend on millions of parameters. The geometric properties of these loss surfaces are not well understood. ... The loss surfaces of multilayer networks. In Artificial Intelligence and Statistics, pages 192–204, 2015. [3] Yann N Dauphin, Razvan Pascanu, Caglar ... Splet04. avg. 2024 · The loss surfaces of multilayer networks Proceedings of the Eighteenth International Conference on Artificial Intelligence and Statistics (2015) C. Xing, D. Arpit, C. Tsirigotis, Y. Bengio, A walk with SGD, arXiv e-prints... S. Solla et al. Accelerated learning in layered neural networks.
http://proceedings.mlr.press/v40/Choromanska15.pdf Splet11. apr. 2024 · This work provides strong guarantees of this quantity for two classes of network architectures, for the neural networks with arbitrary activation functions, multi-branch architecture and a variant of hinge loss, and shows that the duality gap of both population and empirical risks shrinks to zero as the number of branches increases. …
Splet24. mar. 2016 · A recent paper The Loss Surfaces of Multilayer Networks offers some possible explanations for this. From their abstract (bold is mine): ... The first Multilayer Loss Surface article is not really concerned with reaching the global optimum and actually believes it to have some poor overfitting properties. Curiously, both articles use ideas …
Splet30. nov. 2014 · The loss surface of a feed-forward neural network with ReLU non-linearities, regularized with weight decay, is studied to prove that local minima of the regularized … blue chair bay banana rum ingredientsSpletIt can be shown that the loss function of a typical multilayer network with ReLUs can be ex- pressed as a polynomial function of the weights in the network, whose degree is the … blue chair bay beach pinkSpletSewage systems are being retrofit with sensor networks to reduce their deleterious effects on human health and the environment. To implement the sensor networks a conventional cast-iron manhole cover is replaced with a robust composite manhole cover antenna. The difficulties in designing the antenna in a manhole cover are that the antenna must radiate … blue chair bay banana rum priceSplet31. jul. 2014 · In this work, a series of mono-and multilayer coatings were considered. They consisted of CrN and Cr prepared by physical vapor deposition with a cathodic arc. The most common steels for molds of plastics were chosen as substrates: X37CrMoV5-1 (SMV3), X2NiCoMo18-8-5 (MARVAL M1), X105CrCoMo18-2 (N690) and X40CrMo15 … free infant daily reportSpletWe explore some mathematical features of the loss landscape of overparameterized neural networks. A priori, one might imagine that the loss function looks like a typical function from $\\mathbb{R}^d$ to $\\mathbb{R}$, in particular, that it has discrete global minima. In this paper, we prove that in at least one important way, the loss function of an … blue chair bay coconut rum priceSplet26. jun. 2015 · The Loss Surfaces of Multilayer Networks A. Choromańska, Mikael Henaff, Michaël Mathieu, G. B. Arous, Yann LeCun Computer Science AISTATS 2015 TLDR It is … blue chair bay coconut rum alcohol contentSplet30. nov. 2014 · The loss surfaces of DNNs are non-convex and depend on millions of parameters, and the geometry of these loss surfaces is not well understood. Even for … blue chair bay distillery