Abstract The reproducibility of scientific studies grounded on language corpora requires approaching each step carefully, from data selection and pre-processing to significance testing. In this paper, we report our reproduction a recent study based well-known conversational corpus (Switchboard). reproduced Cohen Priva et al. (J Acoust Soc Am 141(5):2989–2996, 2017) focuses speech rate convergen...

a new approach utilizing newton method and homotopy analysis method (ham) is proposed for solving nonlinear system of equations. accelerating the rate of convergence of ham, and obtaining a global quadratic rate of convergence are the main purposes of this approach. the numerical results demonstrate the efficiency and the performance of proposed approach. the comparison with conventional homoto...

This paper investigates asymptotic properties of the maximim likelihood estimator and the quasi-maximum likelihood estimator for the spatial autoregressive model. The rates of convergence of those estimators may depend on some general features of the spatial weights matrix of the model. It is important to make the distinction with different spatial scenarios. Under the scenario that each unit w...

In this paper we investigate the large-sample behaviour of the maximum likelihood estimate (MLE) of the unknown parameter θ for processes following the model dξt = θf(t)ξt dt+ dBt, where f : R → R is a continuous function with period, say P > 0. Here the periodic function f(·) is assumed known. We establish the consistency of the MLE and we point out its minimax optimality. These results comply...

The implicit bias of gradient descent is not fully understood even in simple linear classification tasks (e.g., logistic regression). Soudry et al. (2018) studied this bias on separable data, where there are multiple solutions that correctly classify the data. It was found that, when optimizing monotonically decreasing loss functions with exponential tails using gradient descent, the linear cla...

This paper establishes conditions for consistency and potentially non-standard rates of convergence for set estimators based on contour sets of criterion functions. These conditions cover the standard parametric rate n−1/2, non-standard polynomial rates such as n−1/3, and an extreme case of arbitrarily fast convergence. We also establish the validity of a subsampling procedure for constructing ...