Publications related to Row and column vectors

Neural Tanget Kernel: Convergence and Generalization in Neural Networks

At initialization, artificial neural networks (ANNs) are equivalent to Gaussian processes in the infinite-width limit [12, 9], thus connecting them to kernel methods. We prove that the evolution of an ANN during training can also be described by a kernel: ...

NEURAL INFORMATION PROCESSING SYSTEMS (NIPS)2018

Structure preserving model reduction of parametric Hamiltonian systems

Jan Sickmann Hesthaven, Babak Maboudi Afkham

While reduced-order models (ROMs) are popular for approximately solving large systems of differential equations, the stability of reduced models over long-time integration remains an open question. We present a greedy approach for ROM generation of paramet ...

2017

Simultaneous estimation of unwrapped phase and phase derivative from a closed fringe pattern

Pramod Rastogi, Rishikesh Dilip Kulkarni

We propose a new approach for the direct estimation of the unwrapped phase from a single closed fringe pattern. The fringe analysis is performed along a given row/column at a time by approximating the phase with a weighted linear combination of linearly in ...

2016

Closed fringe demodulation using phase decomposition by Fourier basis functions

Pramod Rastogi, Rishikesh Dilip Kulkarni

We report a new technique for the demodulation of a closed fringe pattern by representing the phase as a weighted linear combination of a certain number of linearly independent Fourier basis functions in a given row/column at a time. A state space model is ...

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

Cross-Intersecting Families of Vectors

János Pach, Gábor Tardos

Given a sequence of positive integers , let denote the family of all sequences of positive integers such that for all . Two families of sequences (or vectors), , are said to be -cross-intersecting if no matter how we select and , there are at least distinc ...

Springer Japan Kk2015

Phase estimation from noisy phase fringe patterns using linearly independent basis functions

Pramod Rastogi, Rishikesh Dilip Kulkarni

A novel technique is proposed for obtaining unwrapped phase estimation from a highly noisy exponential phase field. In this technique, the interference phase is represented as a linear combination of linearly independent and pre-defined basis functions alo ...

Iop Publishing Ltd2015

Direct phase derivative estimation using difference equation modeling in holographic interferometry

Pramod Rastogi, Rishikesh Dilip Kulkarni

A new method is proposed for the direct phase derivative estimation from a single spatial frequency modulated carrier fringe pattern in holographic interferometry. The fringe intensity in a given row/column is modeled as a difference equation of intensity ...

Iop Publishing Ltd2014

Digital holographic moiré for the direct and simultaneous estimation of strain and slope fields

Pramod Rastogi, Rishikesh Dilip Kulkarni

A novel method is proposed for the direct and simultaneous estimation of multiple phase derivatives corresponding to strain and slope fields from a single moiré fringe pattern in digital holographic moiré. The interference field in a given row/column is a ...

Optical Society of America2014

Row and column vectors

Graph Chatbot

Chat with Graph Search

Neural Tanget Kernel: Convergence and Generalization in Neural Networks

Structure preserving model reduction of parametric Hamiltonian systems

Simultaneous estimation of unwrapped phase and phase derivative from a closed fringe pattern

Closed fringe demodulation using phase decomposition by Fourier basis functions

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

Cross-Intersecting Families of Vectors

Phase estimation from noisy phase fringe patterns using linearly independent basis functions

Direct phase derivative estimation using difference equation modeling in holographic interferometry

Digital holographic moiré for the direct and simultaneous estimation of strain and slope fields

Digital holographic moiré for the direct and simultaneous estimation of strain and slope fields

Neural Tanget Kernel: Convergence and Generalization in Neural Networks

Closed fringe demodulation using phase decomposition by Fourier basis functions

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

Structure preserving model reduction of parametric Hamiltonian systems

Cross-Intersecting Families of Vectors

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

Simultaneous estimation of unwrapped phase and phase derivative from a closed fringe pattern

Phase estimation from noisy phase fringe patterns using linearly independent basis functions

Direct phase derivative estimation using difference equation modeling in holographic interferometry