Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lifelong Spectral Clustering   In the past decades, spectral clustering (SC) has become one of the most
effective clustering algorithms. However, most previous studies focus on
spectral clustering tasks with a fixed task set, which cannot incorporate with
a new spectral clustering task without accessing to previously learned tasks.
In this paper, we aim to explore the problem of spectral clustering in a
lifelong machine learning framework, i.e., Lifelong Spectral Clustering (L2SC).
Its goal is to efficiently learn a model for a new spectral clustering task by
selectively transferring previously accumulated experience from knowledge
library. Specifically, the knowledge library of L2SC contains two components:
1) orthogonal basis library: capturing latent cluster centers among the
clusters in each pair of tasks; 2) feature embedding library: embedding the
feature manifold information shared among multiple related tasks. As a new
spectral clustering task arrives, L2SC firstly transfers knowledge from both
basis library and feature library to obtain encoding matrix, and further
redefines the library base over time to maximize performance across all the
clustering tasks. Meanwhile, a general online update formulation is derived to
alternatively update the basis library and feature library. Finally, the
empirical experiments on several real-world benchmark datasets demonstrate that
our L2SC model can effectively improve the clustering performance when
comparing with other state-of-the-art spectral clustering algorithms.

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The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc