Concept

Quotient rule

Related publications (14)

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

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

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

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 ...

fib2019

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 ...

2018

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

About individual differences in vision

Michael Herzog, Gregory Francis, Lukasz Grzeczkowski, Aaron Michael Clarke, Fred Mast

In cognition, audition, and somatosensation, performance strongly correlates between different paradigms, which suggests the existence of common factors. In contrast, visual performance in seemingly very similar tasks, such as visual and bisection acuity, ...

Elsevier2017

Rule of Thumb – Effect of Social Button Icons on Interaction

Denis Gillet, Samuel Bendahan, Adrian Christian Holzer, Andrii Vozniuk

Social buttons are now widespread in social media apps. They are used to assign weight to user content and trigger user engagement. They come in different shapes (e.g., thumb in Facebook, arrows in Reddit or StackOverflow, plus one in Google+) but very lit ...

2016

The symmetry of partner modelling

Pierre Dillenbourg, Nicolas Nova, Séverin Lemaignan, Mirweis Sangin, Gaëlle Molinari

Collaborative learning has often been associated with the construction of a shared understanding of the situation at hand. The psycholinguistics mechanisms at work while establishing common grounds are the object of scientific controversy. We postulate tha ...

Springer2016

Formal Verification of Integer Multipliers by Combining Gröbner Basis with Logic Reduction

Mathias Soeken

Formal verification utilizing symbolic computer algebra has demonstrated the ability to formally verify large Galois field arithmetic circuits and basic architectures of integer arithmetic circuits. The technique models the circuit as Gröbner basis polynom ...

IEEE2016

Do we need "more research" or better implementation through knowledge brokering?

Janet Gordon Hering

More research is needed is an iconic catchphrase used by scientists worldwide. Yet policy and management decisions are continually being made with variable levels of reliance on scientific knowledge. Funding agencies have provided incentives for knowledge ...

Springer2015

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