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Concept

Recursion

Related publications (23)

BLOOM: Bimodal Lattice One-out-of-Many Proofs and Applications

Ngoc Khanh Karol Nguyen

We give a construction of an efficient one-out-of-many proof system, in which a prover shows that he knows the pre-image for one element in a set, based on the hardness of lattice problems. The construction employs the recent zero-knowledge framework of Ly ...

SPRINGER INTERNATIONAL PUBLISHING AG2022

Coxeter Combinatorics For Sum Formulas In The Representation Theory Of Algebraic Groups

Jonathan Gruber

Let G be a simple algebraic group over an algebraically closed field F of characteristic p >= h, the Coxeter number of G. We observe an easy 'recursion formula' for computing the Jantzen sum formula of a Weyl module with p-regular highest weight. We also d ...

AMER MATHEMATICAL SOC2022

Self-induced thermo-optical effects in silicon and germanium dielectric nanoresonators

Giulia Tagliabue, Theodoros Tsoulos

Dielectric nanoresona tors uniquely support both magnetic and electric resonances across a wide wavelength range. They are thus being exploited in a growing number of groundbreaking applications. In particular, they have been recently suggested as promisin ...

2020

Recursive blocked algorithms for linear systems with Kronecker product structure

Daniel Kressner

Recursive blocked algorithms have proven to be highly efficient at the numerical solution of the Sylvester matrix equation and its generalizations. In this work, we show that these algorithms extend in a seamless fashion to higher-dimensional variants of g ...

SPRINGER2020

Recursive Non-Autoregressive Graph-to-Graph Transformer for Dependency Parsing with Iterative Refinement

James Henderson, Alireza Mohammadshahi

We propose the Recursive Non-autoregressive Graph-to-graph Transformer architecture (RNG-Tr) for the iterative refinement of arbitrary graphs through the recursive application of a non-autoregressive Graph-to-Graph Transformer and apply it to syntactic dep ...

2021

Displacement Convexity in Spatially Coupled Scalar Recursions

Rüdiger Urbanke, Nicolas Macris, Rafah El-Khatib

We introduce a technique for the analysis of general spatially coupled systems that are governed by scalar recursions. Such systems can be expressed in variational form in terms of a potential function. We show, under mild conditions, that the potential fu ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2019

Verified Functional Programming

Nicolas Charles Yves Voirol

In this thesis, we present Stainless, a verification system for an expressive subset of the Scala language. Our system is based on a dependently-typed language and an algorithmic type checking procedure which ensures total correctness. We rely on SMT solve ...

EPFL2019

Dynamic Credit-Collections Optimization

Thomas Alois Weber

Based on a dynamic model of the stochastic repayment behavior exhibited by delinquent credit-card accounts as a self-exciting point process, a bank can control the arrival intensity of repayments using costly account-treatment actions. A semi-analytic solu ...

2019

Ontology for SEAM Service Models

Alain Wegmann, Gorica Tapandjieva Sekulovska

A service system is a popular concept in academia and industry. At the same time, it is a challenging concept to represent, due to its recursive nature and difficulty to relate it to entities in reality. In this paper we present an ontology for modeling se ...

2018

Proactive Synthesis of Recursive Tree-to-String Functions from Examples

Viktor Kuncak, Mikaël Mayer, Jad Hamza

Synthesis from examples enables non-expert users to generate programs by specifying examples of their behavior. A domain-specific form of such synthesis has been recently deployed in a widely used spreadsheet software product. In this paper we contribute t ...

2017

The Essence of Dependent Object Types

Martin Odersky, Tiark Rompf, Nada Amin, Sandro Stucki, Karl Samuel Grütter

Focusing on path-dependent types, the paper develops foundations for Scala from first principles. Starting from a simple calculus D-

Springer International Publishing2016

Deductive Synthesis and Repair

Etienne Kneuss

In this thesis, we explore techniques for the development of recursive functional programs over unbounded domains that are proved correct according to their high-level specifications. We present algorithms for automatically synthesizing executable code, st ...

EPFL2016

Tensor train approximation of moment equations for elliptic equations with lognormal coefficient

Daniel Kressner, Fabio Nobile, Francesca Bonizzoni

We study an elliptic equation with stochastic coefficient modeled as a lognormal random field. A perturbation approach is adopted, expanding the solution in Taylor series around the nominal value of the coefficient. The resulting recursive deterministic pr ...

Elsevier2016

Developing Verified Software Using Leon

Viktor Kuncak

We present Leon, a system for developing functional Scala programs annotated with contracts. Contracts in Leon can themselves refer to recursively defined functions. Leon aims to find counterexamples when functions do not meet the specifications, and proof ...

Springer-Verlag Berlin2015

turboTDDFT 2.0 Hybrid functionals and new algorithms within time-dependent density-functional perturbation theory

We present a new release of the turboTDDFT code featuring an implementation of hybrid functionals, a recently introduced pseudo-Hermitian variant of the Liouville-Lanczos approach to time-dependent density-functional perturbation theory, and a newly develo ...

Elsevier Science Bv2014

An overview of the Leon verification system: verification by translation to recursive functions

Viktor Kuncak, Philippe Paul Henri Suter, Régis William Blanc, Etienne Kneuss

We present the Leon verification system for a subset of the Scala programming language. Along with several functional features of Scala, Leon supports imperative constructs such as mutations and loops, using a translation into recursive functional form. Bo ...

2013

Synthesis Modulo Recursive Functions

Viktor Kuncak, Etienne Kneuss, Philippe Paul Henri Suter, Ivan Kuraj

We describe techniques for synthesis and verification of recursive functional programs over unbounded domains. Our techniques build on top of an algorithm for satisfiability modulo recursive functions, a framework for deductive synthesis, and complete synt ...

2013

Integrated Kernel Partitioning and Scheduling for Coarse-Grained Reconfigurable Arrays

Giovanni Ansaloni

Coarse-grained reconfigurable arrays (CGRAs) are a promising class of architectures conjugating flexibility and efficiency. Devising effective methodologies to map applications onto CGRAs is a challenging task, due to their parallel execution paradigm and ...

Institute of Electrical and Electronics Engineers2012

The weighted averages algorithm revisited

Juan Ramon Mosig

The classic weighted averages (WA) algorithm for the evaluation of Sommerfeld-like integrals is reviewed and reappraised. As a result, a new version of the WA algorithm, called generalized WA, is introduced. The new version can be considered as a generaliz ...

Institute of Electrical and Electronics Engineers2012

Infinite integrals with the weighted averages algorithm

Juan Ramon Mosig, Athanasios Polymeridis

A new version of the weighted averages (WA) algorithm, called generalized WA, is introduced. Generalized WA exhibit a more compact formulation, devoid of iterative and recursive steps, and a wider range of applications. It is more robust, as it provides a ...

2011