We have compiled an extensive database of archaeological evidence for rice across Asia, including 400 sites from mainland East Asia, Southeast Asia and South Asia. This dataset is used to compare several models for the geographical origins of rice cultivation and infer the most likely region(s) for its origins and subsequent outward diffusion. The approach is based on regression modelling where...

The availability of dense panels of common single-nucleotide polymorphisms and sequence variants has facilitated the study of statistical features of the genetic architecture of complex traits and diseases via whole-genome regressions (WGRs). At the onset, traits were analyzed trait by trait, but recently, WGRs have been extended for analysis of several traits jointly. The expectation is that s...

We consider projections of points onto fundamental chambers of finite real reflection groups. Our main result shows that for groups of type An, Bn, and Dn, the coefficients of the characteristic polynomial of the reflection arrangement are proportional to the spherical volumes of the sets of points that are projected onto faces of a given dimension. We also provide strong evidence that the same...

We investigate the relationship between set constraints and the monadic class of rst-order formulas and show that set constraints are essentially equivalent to the monadic class. From this equivalence we can infer that the satis ability problem for set constraints is complete for NEXPTIME. More precisely, we prove that this problem has a lower bound of NTIME(cn= logn). The relationship between ...

The ecological fallacy literature suggests aggregate data cannot be used for microlevel inference. Building upon an aggregated logit model developed by Kelejian (1995), I am able to show that the estimated coefficients from aggregate data regressions are directly related to the true underlying microcoefficients, so meaningful interpretations can still be made. It is also suggested that in the c...

We study the problem of identi cation of the long regression E(y jx; z) when the short conditional distributions P (y jx) and P (z jx) are known but the long conditional distribution P (y jx; z) is not known. This problem often arises when a researcher utilizes data from two separate data sets. (A leading example is the ecological inference problem of political science, where voting behavior ac...

This paper shows the use of Fingrams –Fuzzy Inference-grams– aimed at unveiling graphically some hidden details in the usual behavior of the precise fuzzy modeling algorithm FURIA –Fuzzy Unordered Rule Induction Algorithm–. FURIA is recognized as one of the most outstanding fuzzy rule-based classification methods attending to accuracy. Although FURIA usually produces compact rule bases, with lo...