This study proposes the model for interpolating time series to use them  to forecast effectively for future. This model is established based on the improved fuzzy clustering analysis problem, which is implemented by the Matlab procedure. The proposed model is illustrated by a data set and tested for many other datasets, especially for 3003 series in  M3-Competition data. Comparing  to the exist...

The recent proposal by Polchinski and Susskind for the holographic flat space S– matrix is discussed. By using Feynman diagrams we argue that in principle all the information about the S–matrix in the interacting field theory in the bulk of the anti-de Sitter space is encoded into the data on the timelike boundary. The problem of locality of interpolating field is discussed and it is suggested ...

Spatially or temporally dense polling remains both difficult and expensive using existing survey methods. In response, there have been increasing efforts to approximate various survey measures using social media, but most of these approaches remain methodologically flawed. To remedy these flaws, this paper combines 1200 state-level polls during the 2012 presidential campaign with over 100 milli...

Presidential, gubernatorial, and senatorial elections all require state-level polling, but continuous real-time polling of every state during a campaign remains prohibitively expensive, and quite neglected for less competitive states. This paper employs a new dataset of over 500GB of politics-related Tweets from the final months of the 2012 presidential campaign to interpolate and predict state...

It is virtually impossible to quantify the limnological characteristics of every aquatic ecosystem all the time. The goal of this study was to assess the capacity of lake-monitoring data to predict annually resolved characteristics in systems where measurements are not always made. To address this, we provide an analysis of interpolation (i.e., predicting a current lake characteristic based on ...

Income segregation measures the extent to which households choose live near other with similar incomes. Sociologists theorize that income can exacerbate impacts of inequality, and have developed indices measure it at metro area level, including information theory index introduced in \citet{reardon2011income}, divergence presented \citet{roberto2015divergence}. To study their differences, we con...

This paper is concerned with the problem of existence of monotone and/or convex splines, having degree n and order of continuity k, which interpolate to a set of data at the knots. The interpolating splines are obtained by using Bernstein polynomials of suitable continuous piecewise linear functions; they satisfy the inequality k < n — k. The theorems presented here are useful in developing alg...

This paper examines statistical approaches for interpolating climatic data over large regions, providing a brief introduction to interpolation techniques for climate variables of use in agricultural research, as well as general recommendations for future research to assess interpolation techniques. Three approaches—1) inverse distance weighted averaging (IDWA), 2) thin plate smoothing splines a...