In this note we investigate the stability of game theoretic and economic solution concepts under input perturbations. The existence of many of these solutions is proved using fixed point theorems. We note that fixed point theorems, in general, do not provide stable solutions, and we show how some commonly studied solution concepts are indeed not stable under perturbation of the inputs.

We assess, both numerically and theoretically, how positively correlated Poisson inputs affect the output of the integrate-and-fire and Hodgkin-Huxley models. For the integrate-and-fire model the variability of efferent spike trains is an increasing function of input correlation, and of the ratio between inhibitory and excitatory inputs. Interestingly for the Hodgkin-Huxley model the variabilit...

In nonlinear regression theory, the sandwich estimator of the covariance matrix of the model parameters is known as a consistent estimator, even when the parameterized model does not contain the regression. However, in the latter case, we emphasize the fact that the consistency of the sandwich holds only if the inputs of the training set are the values of independent identically distributed ran...

The study examines the effect of trade liberalization on poverty reduction across districts in Indonesia during period from 2000 to 2016 using fixed approach. Tariff exposure is used measure liberalization, which computed at district level by combining information sector composition economy each and tariff lines sectors. This also distinguishes between for output products intermediate inputs. p...

In this paper, we study the problem of fault detection in linear time-invariant systems which contain two types of inputs: Inputs with fixed and known spectral densities and inputs with bounded power. It is shown that this problem can be formulated as a mixed H2/H∞ filtering problem where the filter gain is computed by solving a pair of coupled Riccati equations. Alternatively, it is shown that...

Discretionary models of data envelopment analysis (DEA) assume that all inputs and outputs can be varied at the discretion of management or other users. In any realistic situation, however, there may exist ”exogenously fixed” or non-discretionary factors that are beyond the control of a DMU’s management, which also need to be considered. Also DEA requires that the data for all discretionary inp...

To estimate the modal parameters of Excavator Cab by conducting Multiple Input Multiple Output (MIMO) Modal Analysis test. MIMO testing is done to obtain Frequency response functions(FRF’s) either with two or more fixed inputs of forces and multiple outputs(called Input referencing) or with fixed multiple outputs and multiple inputs(called Output referencing). In the present testing, fixed inpu...

Neural networks have been one of the main techniques used widely in data mining. There are a number of popular neural network architectures, e.g. multilayer perceptrons, self organising maps, support vector machines. However, most of these techniques have been applied to problems in which the inputs are vectors. In other words, the inputs to these neural network architectures are expressed in t...

We present an implementation of a complete RLS Lattice and Normalised RLS Lattice cores for Virtex. The cores accept 24-bit fixed point inputs and produce 24-bit fixed point prediction error. Internally, the computations are based on 32bit logarithmic arithmetic. On Virtex XCV2000E6, it takes 22% and 27% of slices respectively and performs at 45 MHz. The cores outperform (4-5 times) the standar...