Publications related to Vitali set

Mean value theorems for collections of lattices with a prescribed group of symmetries

Euclidean lattices are mathematical objects of increasing interest in the fields of cryptography and error-correcting codes. This doctoral thesis is a study on high-dimensional lattices with the motivation to understand how efficient they are in terms of b ...

EPFL2024

Spatial Characteristics of Roughness Sublayer Mean Flow and Turbulence Over a Realistic Urban Surface

Jiannong Fang, Marc Parlange, Charles Vivant Ignacio Meneveau, Marco Giovanni Giometto

Single-point measurements from towers in cities cannot properly quantify the impact of all terms in the turbulent kinetic energy (TKE) budget and are often not representative of horizontally-averaged quantities over the entire urban domain. A series of lar ...

Springer2016

Detecting and Tracking Cells using Network Flow Programming

Pascal Fua, Engin Türetken, Xinchao Wang, Carlos Joaquin Becker

We propose a novel approach to automatically detecting and tracking cell populations in time-lapse images. Unlike earlier ones that rely on linking a predetermined and potentially under-complete set of detections, we generate an overcomplete set of competi ...

2015

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

Afsaneh Asaei, Mohammadjavad Taghizadeh, Saeid Haghighatshoar

In this paper, we prove a new identity for the least-square solution of an over-determined set of linear equation

Ax=b

, where

A

is an

m\times n

full-rank matrix,

b

is a column-vector of dimension

m

, and

m

(the number of equations) is larger tha ...

2015

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

Afsaneh Asaei, Mohammadjavad Taghizadeh, Saeid Haghighatshoar

In this paper, we prove a new identity for the least-square solution of an over-determined set of linear equation

Ax=b

, where

A

is an

m\times n

full-rank matrix,

b

is a column-vector of dimension

m

, and

m

(the number of equations) is larger tha ...

Idiap2015

Tracking Interacting Objects in Image Sequences

Xinchao Wang

Object tracking in image sequences is a key challenge in computer vision. Its goal is to follow objects that move or evolve over time while preserving the identity of each object. However, most existing approaches focus on one class of objects and model on ...

EPFL2015

Effect of the thin-film limit on the measurable optical properties of graphene

Christophe Ballif, Stefaan De Wolf, Sylvain Nicolay, Jakub Holovsky

The fundamental sheet conductance of graphene can be directly related to the product of its absorption coefficient, thickness and refractive index. The same can be done for graphene's fundamental opacity if the so-called thin-film limit is considered. Here ...

Nature Publishing Group2015

Strategy Construction for Parity Games with Imperfect Information

Laurent Doyen

We consider imperfect-information parity games in which strategies rely on observations that provide imperfect information about the history of a play. To solve such games, i.e. to determine the winning regions of players and corresponding winning strategi ...

2008

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Mean value theorems for collections of lattices with a prescribed group of symmetries

Spatial Characteristics of Roughness Sublayer Mean Flow and Turbulence Over a Realistic Urban Surface

Detecting and Tracking Cells using Network Flow Programming

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

Tracking Interacting Objects in Image Sequences

Effect of the thin-film limit on the measurable optical properties of graphene

Strategy Construction for Parity Games with Imperfect Information

Mean value theorems for collections of lattices with a prescribed group of symmetries

Tracking Interacting Objects in Image Sequences

Spatial Characteristics of Roughness Sublayer Mean Flow and Turbulence Over a Realistic Urban Surface

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

Strategy Construction for Parity Games with Imperfect Information

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

Detecting and Tracking Cells using Network Flow Programming

Effect of the thin-film limit on the measurable optical properties of graphene