Neural Collaborative Subspace Clustering

We introduce the Neural Collaborative Subspace Clustering, a neural model that discovers clusters of data points drawn from a union of low-dimensional subspaces. In contrast to previous attempts, our model runs without the aid of spectral clustering. This makes our algorithm one of the kinds that can gracefully scale to large datasets. At its heart, our neural model benefits from a classifier which determines whether a pair of points lies on the same subspace or not. Essential to our model is the construction of two affinity matrices, one from the classifier and the other from a notion of subspace self-expressiveness, to supervise training in a collaborative scheme. We thoroughly assess and contrast the performance of our model against various state-of-the-art clustering algorithms including deep subspace-based ones.Comment: Accepted to ICML 201

Digraphs with degree equivalent induced subdigraphs

AbstractA digraph G of order n is said to have property Dk if every induced subdigraph of order n − k in G has the same degree sequence. In this paper, we characterize all digraphs with property Dk when k = 1, 2

The development of a glossary of contemporary Chinese values and its initial application

A value is an outward or inward view of what is “worthwhile” and is a belief system that people uses to distinguish between good and bad and to guide their behavior. Values vary from culture to culture and from time to time. In order to develop a vocabulary for measuring the values of contemporary Chinese, an open-ended survey was conducted in Study 1 to collect the value vocabulary of the Chinese public, and a text analysis was conducted in Study 2 to acquire the value vocabulary of the Chinese society. In Study 3, a word list of contemporary Chinese values was developed by integrating the words obtained from the above two studies and combining words from previous studies, and a preliminary application of the word list was conducted. The results revealed that Chinese values include four dimensions: self-fulfillment, self-cultivation, social development, and interpersonal ethics. Chinese values are characterized by diversity, and some of the socially advocated values have been internalized into the value system of individuals

The Simple Criteria of SLOCC Equivalence Classes

We put forward an alternative approach to the SLOCC classification of entanglement states of three-qubit and four-qubit systems. By directly solving matrix equations, we obtain the relations satisfied by the amplitudes of states. The relations are readily tested since in them only addition, subtraction and multiplication occur.Comment: The original version was submitted to PRA in Feb. 2005, the paper No. is AA10020. 14 pages for the present version. No figure

STUDY ON ADJUSTABLE CONNECTOR OF RECIPROCAL FRAME

In this paper, we design an adjustable connector of reciprocal frame, and a three-dimensional solid model of this connector with Circular Hollow Section has been created in the FEM software Abaqus CAE to study its mechanical properties. When the plastic hinge is formed at the end of the Circular Hollow Section, the connector is still in an elastic state. It is concluded that the adjustable connector of reciprocal frame has high strength and rigidity, realizing the goal for designing higher connector strength over Circular Hollow Section strength. Then parametric analysis is used to analyse the influence of the connector about each part on the mechanical properties, and the flexural rigidity of the connector has been derived. A three-dimensional wire model of reciprocal frames has been created in the FEM software Abaqus CAE, and a full-scale test model of the structure is designed. The numerical simulation results agree well with the test results. It is verified that the reliability of the modeling method and the accuracy of the connector mechanical model