3,793 research outputs found
Class numbers of multinorm-one tori
We present a formula for the class number of a multinorm one torus
associated to any \'etale algebra over a global field . This is deduced
from a formula for analogues of invariants introduced by T.~Ono, which are
interpreted as a generalization of Gauss genus theory. This paper includes the
variants of Ono's invariant for arbitrary -ideal class numbers and the
narrow version, generalizing results of Katayama, Morishita, Sasaki and Ono.Comment: 21 pages; comments welcom
NOMAD: Non-locking, stOchastic Multi-machine algorithm for Asynchronous and Decentralized matrix completion
We develop an efficient parallel distributed algorithm for matrix completion,
named NOMAD (Non-locking, stOchastic Multi-machine algorithm for Asynchronous
and Decentralized matrix completion). NOMAD is a decentralized algorithm with
non-blocking communication between processors. One of the key features of NOMAD
is that the ownership of a variable is asynchronously transferred between
processors in a decentralized fashion. As a consequence it is a lock-free
parallel algorithm. In spite of being an asynchronous algorithm, the variable
updates of NOMAD are serializable, that is, there is an equivalent update
ordering in a serial implementation. NOMAD outperforms synchronous algorithms
which require explicit bulk synchronization after every iteration: our
extensive empirical evaluation shows that not only does our algorithm perform
well in distributed setting on commodity hardware, but also outperforms
state-of-the-art algorithms on a HPC cluster both in multi-core and distributed
memory settings
Camouflaged Image Synthesis Is All You Need to Boost Camouflaged Detection
Camouflaged objects that blend into natural scenes pose significant
challenges for deep-learning models to detect and synthesize. While camouflaged
object detection is a crucial task in computer vision with diverse real-world
applications, this research topic has been constrained by limited data
availability. We propose a framework for synthesizing camouflage data to
enhance the detection of camouflaged objects in natural scenes. Our approach
employs a generative model to produce realistic camouflage images, which can be
used to train existing object detection models. Specifically, we use a
camouflage environment generator supervised by a camouflage distribution
classifier to synthesize the camouflage images, which are then fed into our
generator to expand the dataset. Our framework outperforms the current
state-of-the-art method on three datasets (COD10k, CAMO, and CHAMELEON),
demonstrating its effectiveness in improving camouflaged object detection. This
approach can serve as a plug-and-play data generation and augmentation module
for existing camouflaged object detection tasks and provides a novel way to
introduce more diversity and distributions into current camouflage datasets
Predictive Effects of the Quality of Online Peer-Feedback Provided and Received on Primary School Students' Quality of Question-Generation
[[abstract]]The research objectives of this study were to examine the individual and combined predictive effects of the quality of online peer-feedback provided and received on primary school students’ quality of question-generation. A correlational study was adopted, and performance data from 213 fifth-grade students engaged in online question-generation and peer assessment for six weeks were analysed using hierarchical multiple regression, with the dependent variable of scores on question-generation and independent variables of scores on peer-feedback provided and received. The results from the two-step hierarchical regression analysis indicated that the quality of peer-feedback provided and received, respectively, predicted students’ quality of question-generation. Furthermore, the results from the three-step hierarchical regression analysis showed that the quality of peer-feedback provided and received in combination also predicted students’ quality of question-generation. Details of the significance of this study are provided, as well as suggestions for instructional implementations.[[notice]]補æ£å®Œ
- …