The canonical polyadic and rank-(Lr , Lr , 1) block term decomposition (CPD and BTD, respectively) are two closely related tensor decompositions. The CPD and, recently, BTD are important tools in psychometrics, chemometrics, neuroscience, and signal processing. We present a decomposition that generalizes these two and develop algorithms for its computation. Among these algorithms are alternatin...

The blocks of a balanced ternary design, BTD(V,B; ρ1, ρ2, R;K,Λ), can be partitioned into two sets: the b1 blocks that each contain no repeated elements, and the b2 = B − b1 blocks containing repeated elements. In this note, we address, and answer in some particular cases, the following question. For which partitions of the integer B as b1 + b2 does there exist a BTD(V,B; ρ1, ρ2, R;K,Λ)?

Notch signaling is a conserved pathway of communication between neighboring cells that results in cell fate specification, and CSL is the universal transcriptional effector of Notch signaling. The Notch intracellular domain translocates to the nucleus after proteolytic release upon Notch extracellular engagement, and there it displaces corepressors from DNA-bound CSL and recruits activators of ...

A widespread hair-loss syndrome (HLS) has affected Columbian black-tailed deer (Odocoileus hemionus columbianus) in western Oregon and Washington (USA) since 1996. In order to better characterize the condition, 21 HLS-affected black-tailed deer (BTD) were necropsied, and body condition, parasite burdens, and significant lesions were noted. All deer were in poor body condition, and at least 17 h...

Brightness temperature difference (BTD) values are calculated for selected Geostationary Operational Environmental Satellite (GOES-6) channels (3.9, 12.7 pm) and Advanced Very High Resolution Radiometer channels (3.7, 12.0 pm). Daytime and nighttime discrimination of particle size information is possible given the infrared cloud extinction optical depth and the BTD value. BTD values are present...

Little is known about the factors that control the specification of the mid-hindbrain domain (MHD) within the vertebrate embryonic neural plate. Because the head-trunk junction of the Drosophila embryo and the MHD have patterning similarities, we have searched for vertebrate genes related to the Drosophila head gap gene buttonhead (btd), which in the fly specifies the head-trunk junction. We re...

[1] The brightness temperature difference (BTD) between two thermal infrared bands is a common index for dust detection. However, the BTD is sensitive to the observed temperature, which hinders its use in automatic dust detection, especially over desert land surfaces. In this paper, a dynamic reference brightness temperature differences (DRBTD) algorithm was developed to detect dust by removing...

BACKGROUND Serum free fatty acids (FFAs) are correlated with pathological status, and change in serum FFA levels may be associated with thyroid diseases. MATERIALS AND METHODS In this study, 664 serum samples from 322 healthy controls, 129 patients with benign thyroid disease (BTD), and 213 patients with thyroid cancer (TC) were collected. Chip-based direct-infusion nanoelectrospray-mass spec...

The US Food and Drug Administration (FDA) has four facilitated regulatory pathways (FRPs): Fast Track (FT), Breakthrough Therapy (BTD), Priority Review (PR), and Accelerated Approval (AA). Only PR specifies an expedited review timeline (6 months). We sought to determine to what extent the combination of two or more FRPs influenced development and approval times. We developed a "metro map" to il...

The block-term decompositions (BTD) represent tensors as a linear combination of low multilinear rank terms and can be explicitly related to the Canonical Polyadic decomposition (CPD). In this paper, we introduce SECSI-BTD framework, which exploits connection between two estimate block-terms rank- <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999...