Publications related to Multinomial theorem

Multigraded algebras and multigraded linear series

Leonid Monin, Fatemeh Mohammadi, Yairon Cid Ruiz

This paper is devoted to the study of multigraded algebras and multigraded linear series. For an Ns

\mathbb {N}s

-graded algebra A

A

, we define and study its volume function FA:N+s -> R

F_A:\mathbb {N}_+s\rightarrow \mathbb {R}

, which computes the ...

Wiley2024

Knapsack and Subset Sum with Small Items

Adam Teodor Polak, Lars Rohwedder

Knapsack and Subset Sum are fundamental NP-hard problems in combinatorial optimization. Recently there has been a growing interest in understanding the best possible pseudopolynomial running times for these problems with respect to various parameters. In t ...

Schloss Dagstuhl -- Leibniz-Zentrum für Informatik2021

Physics-informed machine learning for reduced-order modeling of nonlinear problems

Qian Wang, Jan Sickmann Hesthaven

A reduced basis method based on a physics-informed machine learning framework is developed for efficient reduced-order modeling of parametrized partial differential equations (PDEs). A feedforward neural network is used to approximate the mapping from the ...

2021

Development of advanced linearized gyrokinetic collision operators using a moment approach

Paolo Ricci, Justin Richard Ball, Louis Nicolas Stenger, Rogério Manuel Cabete De Jesus Jorge, Baptiste Jimmy Frei, Antoine Cyril David Hoffmann

The derivation and numerical implementation of a linearized version of the gyrokinetic (GK) Coulomb collision operator (Jorge et al., J. Plasma Phys., vol. 85, 2019, 905850604) and of the widely used linearized GK Sugama collision operator (Sugama et al., ...

CAMBRIDGE UNIV PRESS2021

A simple proof for a forbidden subposet problem

Abhishek Methuku

The poset Y-k,Y-2 consists of k + 2 distinct elements x(1), x(2), ..., x(k), y(1), y(2), such that x(1)

ELECTRONIC JOURNAL OF COMBINATORICS2020

Global Identification of Kinetic Parameters via the Extent-based Incremental Approach

Dominique Bonvin, Julien Léo Billeter, Diogo Filipe Mateus Rodrigues

The identification of reaction kinetics represents the main challenge in building models for reaction systems. The identification task can be performed via either simultaneous model identification (SMI) or incremental model identification (IMI), the latter ...

2017

Generalized Spatial Regression with Differential Penalization

Matthieu Wilhelm

We propose a novel method for the analysis of spatially distributed data from an exponential family distribution, able to efficiently treat data occurring over irregularly shaped domains. We consider a generalized linear framework and extend the work of Sa ...

2013

Non-normal amplification in random balanced neuronal networks

Wulfram Gerstner, Tim Vogels, Guillaume Hennequin

In dynamical models of cortical networks, the recurrent connectivity can amplify the input given to the network in two distinct ways. One is induced by the presence of near-critical eigenvalues in the connectivity matrix W, producing large but slow activit ...

2012

Stark coefficients for highly excited rovibrational states of H2O

Thomas Rizzo, Oleg Boyarkine, Maxim Grechko, Oleg Aseev

Quantum beat spectroscopy is combined with triple-resonance vibrational overtone excitation to measure the Stark coefficients (SCs) of the water molecule for 28 rovibrational levels lying from 27 600 to 41 000 cm−1. These data provide a stringent test for ...

American Institute of Physics2012

A generalization of the Wiener rational basis functions on infinite intervals: Part I-derivation and properties

Jan Sickmann Hesthaven

We formulate and derive a generalization of an orthogonal rational-function basis for spectral expansions over the infinite or semi-infinite interval. The original functions, first presented by Wiener, are a mapping and weighting of the Fourier basis to th ...

American Mathematical Society2011

Multinomial theorem

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Multigraded algebras and multigraded linear series

Knapsack and Subset Sum with Small Items

Physics-informed machine learning for reduced-order modeling of nonlinear problems

Development of advanced linearized gyrokinetic collision operators using a moment approach

A simple proof for a forbidden subposet problem

Global Identification of Kinetic Parameters via the Extent-based Incremental Approach

Generalized Spatial Regression with Differential Penalization

Non-normal amplification in random balanced neuronal networks

Stark coefficients for highly excited rovibrational states of H2O

A generalization of the Wiener rational basis functions on infinite intervals: Part I-derivation and properties

Development of advanced linearized gyrokinetic collision operators using a moment approach

Multigraded algebras and multigraded linear series

Physics-informed machine learning for reduced-order modeling of nonlinear problems

A simple proof for a forbidden subposet problem

Generalized Spatial Regression with Differential Penalization

Global Identification of Kinetic Parameters via the Extent-based Incremental Approach

Non-normal amplification in random balanced neuronal networks

A generalization of the Wiener rational basis functions on infinite intervals: Part I-derivation and properties

Stark coefficients for highly excited rovibrational states of H2O

Knapsack and Subset Sum with Small Items