Gaussian Cardinality Restricted Boltzmann Machines

نویسندگان

  • Cheng Wan
  • Xiaoming Jin
  • Guiguang Ding
  • Dou Shen
چکیده

Restricted BoltzmannMachine (RBM) has been applied to a wide variety of tasks due to its advantage in feature extraction. Implementing sparsity constraint in the activated hidden units is an important improvement on RBM. The sparsity constraints in the existing methods are usually specified by users and are independent of the input data. However, the input data could be heterogeneous in content and thus naturally demand elastic and adaptive settings of the sparsity constraints. To solve this problem, we proposed a generalized model with adaptive sparsity constraint, named Gaussian Cardinality Restricted Boltzmann Machines (GC-RBM). In this model, the thresholds of hidden unit activations are decided by the input data and a given Gaussian distribution in the pre-training phase. We provide a principled method to train the GC-RBM with Gaussian prior. Experimental results on two real world data sets justify the effectiveness of the proposed method and its superiority over CaRBM in terms of classification accuracy.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

An analysis of Gaussian-binary restricted Boltzmann machines for natural images

A Gaussian-binary restricted Boltzmann machine is a widely used energy-based model for continuous data distributions, although many authors reported difficulties in training on natural images. To clarify the model’s capabilities and limitations we derive a rewritten formula of the probability density function as a linear superposition of Gaussians. Based on this formula we show how Gaussian-bin...

متن کامل

An effect of initial distribution covariance for annealing Gaussian restricted Boltzmann machines

In this paper, we investigate an effect that the covariance of an initial distribution for annealed importance sampling (AIS) exerts on the estimation accuracy for the partition functions of Gaussian restricted Boltzmann machines (RBMs). A common choice for an AIS initial distribution is a Gaussian RBM (GRBM) with zero weight connections. Such an initial distribution does not show any covarianc...

متن کامل

Improved Learning of Gaussian-Bernoulli Restricted Boltzmann Machines

We propose a few remedies to improve training of Gaussian-Bernoulli restricted Boltzmann machines (GBRBM), which is known to be difficult. Firstly, we use a different parameterization of the energy function, which allows for more intuitive interpretation of the parameters and facilitates learning. Secondly, we propose parallel tempering learning for GBRBM. Lastly, we use an adaptive learning ra...

متن کامل

Joint spectral distribution modeling using restricted boltzmann machines for voice conversion

This paper presents a new spectral modeling and conversion method for voice conversion. In contrast to the conventional Gaussian mixture model (GMM) based methods, we use restricted Boltzmann machines (RBMs) as probability density models to model the joint distributions of source and target spectral features. The Gaussian distribution in each mixture of GMM is replaced by an RBM, which can bett...

متن کامل

Refinements of Universal Approximation Results for Deep Belief Networks and Restricted Boltzmann Machines

We improve recently published results about resources of restricted Boltzmann machines (RBM) and deep belief networks (DBN)required to make them universal approximators. We show that any distribution pon the set {0,1}(n) of binary vectors of length n can be arbitrarily well approximated by an RBM with k-1 hidden units, where k is the minimal number of pairs of binary vectors differing in only o...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2015