Publications related to Linear differential equation

Can Dissipative Properties of Single Molecules Be Extracted from a Force Spectroscopy Experiment?

Giovanni Dietler, Andrzej Kulik, Fabrizio Benedetti, Dmitry Klinov

We performed dynamic force spectroscopy of single dextran and titin 127 molecules using small-amplitude and low-frequency (40-240 Hz) dithering of an atomic force microscope tip excited by a sine wave voltage fed onto the tip-carrying piezo. We show that f ...

Elsevier2016

A new time-projecting controller based on 3LP model to recover intermittent pushes

Auke Ijspeert, Salman Faraji

In this paper, we present a new walking controller based on 3LP model. Taking advantage of linear equations and closed-form solutions of 3LP, the proposed controller can project the state of the robot at any time during the phase back to a certain event fo ...

2016

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

MATHICSE Technical Report : Efficient model reduction of parametrized systems by matrix discrete empirical interpolation

Andrea Manzoni, Federico Negri

In this work, we apply a Matrix version of the so-called Discrete Empirical Interpolation (MDEIM) for the efficient reduction of nonaffine parametrized systems arising from the discretization of linear partial differential equations. Dealing with affinely ...

MATHICSE2015

Efficient model reduction of parametrized systems by matrix discrete empirical interpolation

Andrea Manzoni, Federico Negri

In this work, we apply a Matrix version of the so-called Discrete Empirical Interpolation (MDEIM) for the efficient reduction of nonaffine parametrized systems arising from the discretization of linear partial differential equations. Dealing with affinely ...

Elsevier2015

Protecting against Multidimensional Linear and Truncated Differential Cryptanalysis by Decorrelation

Serge Vaudenay

The decorrelation theory provides a different point of view on the security of block cipher primitives. Results on some statistical attacks obtained in this context can support or provide new insight on the security of symmetric cryptographic primitives. I ...

Springer-Verlag Berlin2015

A continuation multilevel Monte Carlo algorithm

Fabio Nobile, Erik Gustaf Bogislaw Von Schwerin

We propose a novel Continuation Multi Level Monte Carlo (CMLMC) algorithm for weak approximation of stochastic models. The CMLMC algorithm solves the given approximation problem for a sequence of decreasing tolerances, ending when the required error tolera ...

2015

Multiscale homogenization for fluid and drug transport in vascularized malignant tissues

Alfio Quarteroni

A system of differential equations for coupled fluid and drug transport in vascularized (malignant) tissues is derived by a multiscale expansion. We start from mass and momentum balance equations, stated in the physical domain, geometrically characterized ...

World Scientific Publishing2015

Sampling and (Sparse) Stochastic Processes: A Tale of Splines and Innovation

Michaël Unser

The commonality between splines and Gaussian or sparse stochastic processes is that they are ruled by the same type of differential equations. Our purpose here is to demonstrate that this has profound implications for the three primary forms of sampling: u ...

IEEE2015

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Can Dissipative Properties of Single Molecules Be Extracted from a Force Spectroscopy Experiment?

A new time-projecting controller based on 3LP model to recover intermittent pushes

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

MATHICSE Technical Report : Efficient model reduction of parametrized systems by matrix discrete empirical interpolation

Efficient model reduction of parametrized systems by matrix discrete empirical interpolation

Protecting against Multidimensional Linear and Truncated Differential Cryptanalysis by Decorrelation

A continuation multilevel Monte Carlo algorithm

Multiscale homogenization for fluid and drug transport in vascularized malignant tissues

Sampling and (Sparse) Stochastic Processes: A Tale of Splines and Innovation

Can Dissipative Properties of Single Molecules Be Extracted from a Force Spectroscopy Experiment?

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

MATHICSE Technical Report : Efficient model reduction of parametrized systems by matrix discrete empirical interpolation

Efficient model reduction of parametrized systems by matrix discrete empirical interpolation

Protecting against Multidimensional Linear and Truncated Differential Cryptanalysis by Decorrelation

A continuation multilevel Monte Carlo algorithm

Multiscale homogenization for fluid and drug transport in vascularized malignant tissues

A new time-projecting controller based on 3LP model to recover intermittent pushes

Sampling and (Sparse) Stochastic Processes: A Tale of Splines and Innovation