14,917 research outputs found
Randomized Tensor Ring Decomposition and Its Application to Large-scale Data Reconstruction
Dimensionality reduction is an essential technique for multi-way large-scale
data, i.e., tensor. Tensor ring (TR) decomposition has become popular due to
its high representation ability and flexibility. However, the traditional TR
decomposition algorithms suffer from high computational cost when facing
large-scale data. In this paper, taking advantages of the recently proposed
tensor random projection method, we propose two TR decomposition algorithms. By
employing random projection on every mode of the large-scale tensor, the TR
decomposition can be processed at a much smaller scale. The simulation
experiment shows that the proposed algorithms are times faster than
traditional algorithms without loss of accuracy, and our algorithms show
superior performance in deep learning dataset compression and hyperspectral
image reconstruction experiments compared to other randomized algorithms.Comment: ICASSP submissio
Generative Adversarial Positive-Unlabelled Learning
In this work, we consider the task of classifying binary positive-unlabeled
(PU) data. The existing discriminative learning based PU models attempt to seek
an optimal reweighting strategy for U data, so that a decent decision boundary
can be found. However, given limited P data, the conventional PU models tend to
suffer from overfitting when adapted to very flexible deep neural networks. In
contrast, we are the first to innovate a totally new paradigm to attack the
binary PU task, from perspective of generative learning by leveraging the
powerful generative adversarial networks (GAN). Our generative
positive-unlabeled (GenPU) framework incorporates an array of discriminators
and generators that are endowed with different roles in simultaneously
producing positive and negative realistic samples. We provide theoretical
analysis to justify that, at equilibrium, GenPU is capable of recovering both
positive and negative data distributions. Moreover, we show GenPU is
generalizable and closely related to the semi-supervised classification. Given
rather limited P data, experiments on both synthetic and real-world dataset
demonstrate the effectiveness of our proposed framework. With infinite
realistic and diverse sample streams generated from GenPU, a very flexible
classifier can then be trained using deep neural networks.Comment: 8 page
QCD and Relativistic Corrections to Hadronic Decays of Spin-Singlet Heavy Quarkonia and
We calculate the annihilation decay widths of spin-singlet heavy quarkonia
and } into light hadrons with both QCD and relativistic
corrections at order in nonrelativistic QCD. With
appropriate estimates for the long-distance matrix elements by using the
potential model and operator evolution method, we find that our predictions of
these decay widths are consistent with recent experimental measurements. We
also find that the corrections are small for
states but substantial for states. In particular, the negative
contribution of correction to the decay can lower
the decay width, as compared with previous predictions without the
correction, and thus result in a good agreement with the
recent BESIII measurement.Comment: version published in PRD, 30 pages, 8 figures, more discussions on
LDMEs adde
Somoclu: An Efficient Parallel Library for Self-Organizing Maps
Somoclu is a massively parallel tool for training self-organizing maps on
large data sets written in C++. It builds on OpenMP for multicore execution,
and on MPI for distributing the workload across the nodes in a cluster. It is
also able to boost training by using CUDA if graphics processing units are
available. A sparse kernel is included, which is useful for high-dimensional
but sparse data, such as the vector spaces common in text mining workflows.
Python, R and MATLAB interfaces facilitate interactive use. Apart from fast
execution, memory use is highly optimized, enabling training large emergent
maps even on a single computer.Comment: 26 pages, 9 figures. The code is available at
https://peterwittek.github.io/somoclu
Tensor Ring Decomposition with Rank Minimization on Latent Space: An Efficient Approach for Tensor Completion
In tensor completion tasks, the traditional low-rank tensor decomposition
models suffer from the laborious model selection problem due to their high
model sensitivity. In particular, for tensor ring (TR) decomposition, the
number of model possibilities grows exponentially with the tensor order, which
makes it rather challenging to find the optimal TR decomposition. In this
paper, by exploiting the low-rank structure of the TR latent space, we propose
a novel tensor completion method which is robust to model selection. In
contrast to imposing the low-rank constraint on the data space, we introduce
nuclear norm regularization on the latent TR factors, resulting in the
optimization step using singular value decomposition (SVD) being performed at a
much smaller scale. By leveraging the alternating direction method of
multipliers (ADMM) scheme, the latent TR factors with optimal rank and the
recovered tensor can be obtained simultaneously. Our proposed algorithm is
shown to effectively alleviate the burden of TR-rank selection, thereby greatly
reducing the computational cost. The extensive experimental results on both
synthetic and real-world data demonstrate the superior performance and
efficiency of the proposed approach against the state-of-the-art algorithms
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