Publications related to Affine Short Rate Models

Fast parametric analysis of trimmed multi-patch isogeometric Kirchhoff-Love shells using a local reduced basis method

Annalisa Buffa, Pablo Antolin Sanchez, Margarita Chasapi

This contribution presents a model order reduction framework for real-time efficient solution of trimmed, multi-patch isogeometric Kirchhoff-Love shells. In several scenarios, such as design and shape optimization, multiple simulations need to be performed ...

2023

Finite Littlestone Dimension Implies Finite Information Complexity

Michael Christoph Gastpar, Aditya Pradeep, Ido Nachum

We prove that every online learnable class of functions of Littlestone dimension d admits a learning algorithm with finite information complexity. Towards this end, we use the notion of a globally stable algorithm. Generally, the information complexity of ...

2022

Geometry of the Loss Landscape in Overparameterized Neural Networks: Symmetries and Invariances

Wulfram Gerstner, Clément Hongler, Johanni Michael Brea, Francesco Spadaro, Berfin Simsek, Arthur Jacot

We study how permutation symmetries in overparameterized multi-layer neural networks generate `symmetry-induced' critical points. Assuming a network with

L

layers of minimal widths

r_1^*, \ldots, r_{L-1}^*

reaches a zero-loss minimum at $ r_1^*! \c ...

2021

Convex Combination of Diffusion Strategies Over Networks

Ali H. Sayed, Jie Chen

Combining diffusion strategies with complementary properties enables enhanced performance when they can be run simultaneously. In this article, we first propose two schemes for the convex combination of two diffusion strategies, namely, the power-normalize ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2020

Einstein-Cartan gravity, matter, and scale-invariant generalization

Andrey Shkerin, Inar Timiryasov, Sebastian Zell

We study gravity coupled to scalar and fermion fields in the Einstein-Cartan framework. We discuss the most general form of the action that contains terms of mass dimension not bigger than four, leaving out only contributions quadratic in curvature. By res ...

SPRINGER2020

On the fundamental domain of affine Springer fibers

Zongbin Chen

Let G be a connected reductive algebraic group over an algebraically closed field k,gamma is an element of g( k(( epsilon ))) a semisimple regular element, we introduce a fundamental domain F gamma for the affine Springer fibers X gamma. We show that the p ...

Springer Heidelberg2017

An upper bound for the Tarski numbers of nonamenable groups of piecewise projective homeomorphisms

Yash Lodha

The Tarski number of a nonamenable group is the smallest number of pieces needed for a paradoxical decomposition of the group. Nonamenable groups of piecewise projective homeomorphisms were introduced in [N. Monod, Groups of piecewise projective homeomorph ...

World Scientific Publ Co Pte Ltd2017

The tropical momentum map: a classification of toric log symplectic manifolds

Tudor Ratiu

We give a generalization of toric symplectic geometry to Poisson manifolds which are symplectic away from a collection of hypersurfaces forming a normal crossing configuration. We introduce the tropical momentum map, which takes values in a generalization ...

Springer Verlag2017

The Critical Shear Crack Theory for punching design: from a mechanical model to closed-form design expressions

Aurelio Muttoni, Miguel Fernández Ruiz

The Critical Shear Crack Theory (CSCT) is a consistent approach used for shear design of one- and two-way slabs failing in shear and punching shear respectively. The theory is based on a mechanical model allowing to determine the amount of shear force that ...

2016

A leap of faith in the realm of the possible.

Caroline Dionne

The architectural projects and building operations conducted over the past three decades by Patrick Bouchain and his collaborators challenge a series of assumptions regarding architecture’s authorship, its purpose and usage. Examined in light of Paul Ricoe ...

2016

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Fast parametric analysis of trimmed multi-patch isogeometric Kirchhoff-Love shells using a local reduced basis method

Finite Littlestone Dimension Implies Finite Information Complexity

Geometry of the Loss Landscape in Overparameterized Neural Networks: Symmetries and Invariances

Convex Combination of Diffusion Strategies Over Networks

Einstein-Cartan gravity, matter, and scale-invariant generalization

On the fundamental domain of affine Springer fibers

An upper bound for the Tarski numbers of nonamenable groups of piecewise projective homeomorphisms

The tropical momentum map: a classification of toric log symplectic manifolds

The Critical Shear Crack Theory for punching design: from a mechanical model to closed-form design expressions

A leap of faith in the realm of the possible.

Geometry of the Loss Landscape in Overparameterized Neural Networks: Symmetries and Invariances

Convex Combination of Diffusion Strategies Over Networks

Finite Littlestone Dimension Implies Finite Information Complexity

Fast parametric analysis of trimmed multi-patch isogeometric Kirchhoff-Love shells using a local reduced basis method

The tropical momentum map: a classification of toric log symplectic manifolds

On the fundamental domain of affine Springer fibers

An upper bound for the Tarski numbers of nonamenable groups of piecewise projective homeomorphisms

Einstein-Cartan gravity, matter, and scale-invariant generalization

The Critical Shear Crack Theory for punching design: from a mechanical model to closed-form design expressions

A leap of faith in the realm of the possible.