Heterosis refers to the phenomenon in which an F1 hybrid exhibits enhanced growth or agronomic performance. However, previous theoretical studies on heterosis have been based on bi-parental segregating populations instead of F1 hybrids. To understand the genetic basis of heterosis, here we used a subset of F1 hybrids, named a partial North Carolina II design, to perform association mapping for ...

In this paper, the generalized variational inequality with multi-valued mapping (GVI) is considered. To solve the problem, we first establish a global error bound estimation for GVI with the underlying multi-valued mapping being   strict monotone and Holder continuous. Based on this, we propose a new type of method to solve the GVI, and its global convergence is also established. Keywords-GVI...

A general form of codebook design for code-domain non-orthogonal multiple access (CD-NOMA) can be considered equivalent to an autoencoder (AE)-based constellation multi-user multidimensional modulation (MU-MDM). Due a constrained space optimal constellation, e.g., fixed resource mapping and equal power allocation all codebooks, however, existing AE architectures produce constellations with subo...

In this paper, we define multi-normed spaces, and investigate some properties of multi-bounded mappings on multi-normed spaces. Moreover, we prove a generalized Hyers– Ulam–Rassias stability theorem associated to the Cauchy additive equation for mappings from linear spaces into multi-normed spaces.

Semantic interoperability is a major challenge in multi-center data sharing projects, that the German Initiative for Medical Informatics taking up. With respect to laboratory data, enriching site-specific tests and measurements with LOINC codes appears be crucial step supporting cross-institutional research. However, this effort very time-consuming, as it requires expert knowledge of local site...

We present some new results on largesystem CDMA obtained through the replica method developed in statistical physics. We find the spectral efficiency of randomly spread CDMA subject to Gaussian noise and flat fading in the large-system limit under arbitrary input distributions. Both joint decoding and single-user decoding are considered. In the latter case, a conditional mean estimator is first...

In this paper we present the use of an OFDM-based scheme for ultra wideband radios in a multiuser scenario. The proposed scheme uses a technique similar to multicarrier CDMA to allow multiple users to transmit simultaneously to a single receiver. We investigate the performance of the proposed scheme in the presence of both additive white Gaussian noise and narrowband interference, with various ...

We consider multiuser communication on a binary input additive white Gaussian noise channel using Randomly Spread-Code Division Multiple Access. We show concentration of various quantities of the system including the capacity and the free energy. We also obtain a tight upper bound on the capacity of this system in the large user limit which matches with the replica solution. The method is quite...