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On the Complexity of Modulo-q Arguments and the Chevalley - Warning Theorem

Related publications (37)

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A refined estimate for the topological degree

Hoài-Minh Nguyên

We sharpen an estimate of [4] for the topological degree of continuous maps from a sphere Sdinto itself in the case d >= 2. This provides the answer for d >= 2 to a question raised by Brezis. The problem is still open for d = 1. (C) 2017 Academie des scien ...

2017

Approximation algorithms for geometric dispersion

Alfonso Bolívar Cevallos Manzano

The most basic form of the max-sum dispersion problem (MSD) is as follows: given n points in R^q and an integer k, select a set of k points such that the sum of the pairwise distances within the set is maximal. This is a prominent diversity problem, with w ...

EPFL2016

Anchor View Allocation for Collaborative Free Viewpoint Video Streaming

Pascal Frossard

In free viewpoint video, a viewer can choose at will any camera angle or the so-called "virtual view" to observe a dynamic 3-D scene, enhancing his/her depth perception. The virtual view is synthesized using texture and depth videos of two anchor camera vi ...

2015

Approximation algorithms for regret minimization in vehicle routing problems

Adrian Aloysius Bock

In this thesis, we present new approximation algorithms as well as hardness of approximation results for NP-hard vehicle routing problems related to public transportation. We consider two different problem classes that also occur frequently in areas such a ...

EPFL2014

Coding Structure and Replication Optimization for Interactive Multiview Video Streaming

Pascal Frossard

Multiview video refers to videos of the same dynamic 3-D scene captured simultaneously by multiple closely spaced cameras from different viewpoints. We study interactive streaming of pre-encoded multiview videos, where, at any time, a client can request an ...

Ieee-Inst Electrical Electronics Engineers Inc2014

Steiner Tree Approximation via Iterative Randomized Rounding

Thomas Rothvoss, Laura Sanità

The Steiner tree problem is one of the most fundamental NP-hard problems: given a weighted undirected graph and a subset of terminal nodes, find a minimum-cost tree spanning the terminals. In a sequence of papers, the approximation ratio for this problem w ...

Assoc Computing Machinery2013

Santa Claus Schedules Jobs On Unrelated Machines

Ola Nils Anders Svensson

One of the classic results in scheduling theory is the 2-approximation algorithm by Lenstra, Shmoys, and Tardos for the problem of scheduling jobs to minimize makespan on unrelated machines; i.e., job j requires time p(ij) if processed on machine i. More t ...

Siam Publications2012

Pliable Index Coding

Christina Fragouli, Siddhartha Brahma

We propose a new formulation of the index coding problem, where instead of demanding a specific message, clients are “pliable” and are happy to receive any one message they do not have. We prove that with this relaxation, although some instances of this pr ...

Ieee2012

Piercing quasi-rectangles-On a problem of Danzer and Rogers

János Pach, Gábor Tardos

It is an old problem of Danzer and Rogers to decide whether it is possible to arrange 0(1/epsilon) points in the unit square so that every rectangle of area epsilon > 0 within the unit square contains at least one of them. We show that the answer to this q ...

Elsevier2012

Black-box optimization benchmarking of IPOP-saACM-ES on the BBOB-2012 noisy testbed

Ilya Loshchilov

In this paper, we study the performance of IPOP-saACM-ES, recently proposed self-adaptive surrogate-assisted Covariance Matrix Adaptation Evolution Strategy. The algorithm was tested using restarts till a total number of function evaluations of 10^6D was r ...

2012