110 research outputs found
The inverse along a product and its applications
In this paper, we study the recently defined notion of the inverse along an element. An existence criterion for the inverse along
a product is given in a ring. As applications, we present the equivalent conditions for the existence and expressions of the inverse along a matrix.The authors are highly grateful to the referee for valuable comments which
led to improvements of the paper. In particular, Remarks 3.2 and 3.4 were
suggested to the authors by the referee. The first author is grateful to China
Scholarship Council for supporting him to purse his further study in University
of Minho, Portugal. Pedro Patr´ıcio and Yulin Zhang were financed
by the Research Centre of Mathematics of the University of Minho with
the Portuguese Funds from the “Funda¸c˜ao para a Ciˆencia e a Tecnologia”,
through the Project PEst-OE/MAT/UI0013/2014. Jianlong Chen and Huihui
Zhu were supported by the National Natural Science Foundation of China
(No. 11201063 and No. 11371089), the Specialized Research Fund for the
Doctoral Program of Higher Education (No. 20120092110020), the Natural
Science Foundation of Jiangsu Province (No. BK20141327), the Foundation
of Graduate Innovation Program of Jiangsu Province(No. CXLX13-072),
the Scientific Research Foundation of Graduate School of Southeast University
and the Fundamental Research Funds for the Central Universities (No.
22420135011)
Prompt-Matched Semantic Segmentation
The objective of this work is to explore how to effectively and efficiently
adapt pre-trained visual foundation models to various downstream tasks of
semantic segmentation. Previous methods usually fine-tuned the entire networks
for each specific dataset, which will be burdensome to store massive parameters
of these networks. A few recent works attempted to insert some extra trainable
parameters into the frozen networks to learn visual prompts for
parameter-efficient tuning. However, these works showed poor generality as they
were designed specifically for Transformers. Moreover, using limited
information in these schemes, they exhibited a poor capacity to learn
beneficial prompts. To alleviate these issues, we propose a novel Stage-wise
Prompt-Matched Framework for generic and effective visual prompt tuning.
Specifically, to ensure generality, we divide the pre-trained backbone with
frozen parameters into multiple stages and perform prompt learning between
different stages, which makes the proposed scheme applicable to various
architectures of CNN and Transformer. For effective tuning, a lightweight
Semantic-aware Prompt Matcher (SPM) is designed to progressively learn
reasonable prompts with a recurrent mechanism, guided by the rich information
of interim semantic maps. Working as deep matched filter of representation
learning, the proposed SPM can well transform the output of the previous stage
into a desirable input for the next stage, thus achieving the better
matching/stimulating for the pre-trained knowledge. Extensive experiments on
four benchmarks demonstrate that the proposed scheme can achieve a promising
trade-off between parameter efficiency and performance effectiveness. Our code
and models will be released
The one-sided inverse along an element in semigroups and rings
The concept of the inverse along an element was introduced by Mary in 2011. Later, Zhu et al. introduced the one-sided inverse along an element. In this paper, we first give a new existence criterion for the one-sided inverse along a product and characterize the existence of Moore–Penrose inverse by means of one-sided invertibility of certain element in a ring. In addition, we show that a∈ S † ⋂ S # if and only if (a∗a)k is invertible along a if and only if (aa∗)k is invertible along a in a ∗ -monoid S, where k is an arbitrary given positive integer. Finally, we prove that the inverse of a along aa ∗ coincides with the core inverse of a under the condition a∈ S { 1 , 4 } in a ∗ -monoid S.FCT - Fuel Cell Technologies Program(CXLX13-072)This research was supported by the National Natural Science Foundation
of China (No. 11371089), the Specialized Research Fund for the Doctoral Program of
Higher Education (No. 20120092110020), the Natural Science Foundation of Jiangsu Province
(No. BK20141327) and the Foundation of Graduate Innovation Program of Jiangsu Province
(No. KYZZ15-0049).info:eu-repo/semantics/publishedVersio
Extraction of BoNT/A, /B, /E, and /F with a Single, High Affinity Monoclonal Antibody for Detection of Botulinum Neurotoxin by Endopep-MS
Botulinum neurotoxins (BoNTs) are extremely potent toxins that are capable of causing respiratory failure leading to long-term intensive care or death. The best treatment for botulism includes serotype-specific antitoxins, which are most effective when administered early in the course of the intoxication. Early confirmation of human exposure to any serotype of BoNT is an important public health goal. In previous work, we focused on developing Endopep-MS, a mass spectrometry-based endopeptidase method for detecting and differentiating the seven serotypes (BoNT/A-G) in buffer and BoNT/A, /B, /E, and /F (the four serotypes that commonly affect humans) in clinical samples. We have previously reported the success of antibody-capture to purify and concentrate BoNTs from complex matrices, such as clinical samples. However, to check for any one of the four serotypes of BoNT/A, /B, /E, or /F, each sample is split into 4 aliquots, and tested for the specific serotypes separately. The discovery of a unique monoclonal antibody that recognizes all four serotypes of BoNT/A, /B, /E and /F allows us to perform simultaneous detection of all of them. When applied in conjunction with the Endopep-MS assay, the detection limit for each serotype of BoNT with this multi-specific monoclonal antibody is similar to that obtained when using other serotype-specific antibodies
Visualization and Analysis of 3D Microscopic Images
In a wide range of biological studies, it is highly desirable to visualize and analyze three-dimensional (3D) microscopic images. In this primer, we first introduce several major methods for visualizing typical 3D images and related multi-scale, multi-time-point, multi-color data sets. Then, we discuss three key categories of image analysis tasks, namely segmentation, registration, and annotation. We demonstrate how to pipeline these visualization and analysis modules using examples of profiling the single-cell gene-expression of C. elegans and constructing a map of stereotyped neurite tracts in a fruit fly brain
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