Concept

Chain rule

Related publications (32)

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Network neutrality is important for users, content providers, policymakers, and regulators interested in understanding how network providers differentiate performance. When determining whether a network differentiates against certain traffic, it is importa ...

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Optimal Adversarial Policies in the Multiplicative Learning System With a Malicious Expert

Negar Kiyavash, Seyed Jalal Etesami

We consider a learning system based on the conventional multiplicative weight ( MW) rule that combines experts' advice to predict a sequence of true outcomes. It is assumed that one of the experts is malicious and aims to impose the maximum loss on the sys ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2021

Monte Carlo Estimators for Differential Light Transport

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Physically based differentiable rendering algorithms propagate derivatives through realistic light transport simulations and have applications in diverse areas including inverse reconstruction and machine learning. Recent progress has led to unbiased metho ...

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Chaining Meets Chain Rule: Multilevel Entropic Regularization and Training of Neural Networks

Emmanuel Abbé

We derive generalization and excess risk bounds for neural networks using a family of complexity measures based on a multilevel relative entropy. The bounds are obtained by introducing the notion of generated hierarchical coverings of neural networks and b ...

MICROTOME PUBL2020

Polynomial Jump-Diffusion Models

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We develop a comprehensive mathematical framework for polynomial jump-diffusions in a semimartingale context, which nest affine jump-diffusions and have broad applications in finance. We show that the polynomial property is preserved under polynomial trans ...

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Grammar-based generation of trusses within non-convex domains

Corentin Jean Dominique Fivet, Ioannis Mirtsopoulos

A force-driven generative grammar rule is proposed as a design exploration method for planar networks in static equilibrium within non-convex domains. The aim is to enrich the catalog of unconventional structural typologies. Empty or partial networks in eq ...

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The AKLT Model on a Hexagonal Chain is Gapped

Marius Christopher Lemm

In 1987, Affleck, Kennedy, Lieb, and Tasaki introduced the AKLT spin chain and proved that it has a spectral gap above the ground state. Their concurrent conjecture that the two-dimensional AKLT model on the hexagonal lattice is also gapped remains open. I ...

2019

Structurally informed exploration of a grammar-based design space

Graphic statics provide a visual understanding of the relation between a structures’ shape and its efforts, a valuable quality in the field of structural conception. When combined to a shape grammar, the graphical method has proven to be a very powerful to ...

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Cyclic Load – Transfer Approach for the Analysis of Energy Piles

Lyesse Laloui, Melis Sütman

Energy piles, due to their unique roles of coupling the structural support and heat exchange with the surrounding ground, are subject to temperature cycles during their lifetime. Although their behaviour during individual temperature increase or decrease h ...

2018

Performance limits of stochastic sub-gradient learning, Part II: Multi-agent case

Ali H. Sayed, Bicheng Ying

The analysis in Part I [1] revealed interesting properties for subgradient learning algorithms in the context of stochastic optimization. These algorithms are used when the risk functions are non-smooth or involve non-differentiable components. They have b ...

Elsevier2018

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