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Deep Neural Approximation and Sparse Encoding

Heterogeneous Feature Selection with Multi-Modal Deep Neural Networks and Sparse Group Lasso

Heterogeneous Feature Selection with Multi-Modal Deep Neural Networks and Sparse Group Lasso

... Multi-Modal Deep Neural Networks and Sparse Group Lasso Lei Zhao, Qinghua Hu, Senior Member, IEEE, Wenwu Wang, Senior Member, IEEE Abstract—Heterogeneous feature representations are widely used in ...

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Cellular Encoding for Deep Neural Networks

Cellular Encoding for Deep Neural Networks

... The building process 3.13 may seem a little complicated, but actually to build a deep fully connected NN it takes only a few steps. We initialise an array modelArr where we store all the Keras objects that ...

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Group sparse regularization for deep neural networks

Group sparse regularization for deep neural networks

... diagonal approximation, stating that the error modification resulting from modifying many weights can be computed by summing the individual contributions from each weight ...

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Why deep neural networks for function approximation

Why deep neural networks for function approximation

... multilayer neural network which are sufficient for function ...the approximation is the L ∞ distance: for two functions f and g, the L ∞ distance between these two functions is the maximum point-wise ...

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Laplace Approximation for Uncertainty Estimation of Deep Neural Networks

Laplace Approximation for Uncertainty Estimation of Deep Neural Networks

... 5.2 Introduction and validation Figure 5.3: JSD between in- and out-of-distribution data as a function of τ and N . Higher is better. This type of hyperparameter search is unfortunately not feasible for the larger ...

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The phase diagram of approximation rates for deep neural networks

The phase diagram of approximation rates for deep neural networks

... by neural networks, then we have some freedom in decreasing one complexity at the cost of ...classical approximation problem and explore the opportunities potentially present in solving it within different ...

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Parameter Continuation with Secant Approximation for Deep Neural Networks

Parameter Continuation with Secant Approximation for Deep Neural Networks

... the deep learning training from a solution to the linear manifold of the data rather than something random, which in itself is a big ...and deep layers leads to unstable training, but the PCA initialization ...

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Adaptive Variational Bayesian Inference for Sparse Deep Neural Network

Adaptive Variational Bayesian Inference for Sparse Deep Neural Network

... [20] attempts to provide theoretical justifications for varia- tional inference on BNN but only for an inflated tempered posterior [21] rather than the true posterior. In this paper, we directly investigate the ...

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Deep Neural Networks for Shimmer Approximation in Synthesized Audio Signal

Deep Neural Networks for Shimmer Approximation in Synthesized Audio Signal

... estimation neural network from the spectral features of an audio signal are, on the one hand, the procurement of a f 0 independent shimmer calculation method, and on the other, to answer the question about the ...

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Information encoding by deep neural networks: what can we learn?

Information encoding by deep neural networks: what can we learn?

... of deep learning techniques in speech tech- nology and in particular in automatic speech recognition has yielded substantial performance ...that deep neural networks (DNNs) are able to capture ...

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Research on intelligent fault diagnosis of mechanical equipment based on sparse deep neural networks

Research on intelligent fault diagnosis of mechanical equipment based on sparse deep neural networks

... In fact, vibration signals measured at each observation point was not a single signal component. It was made up of different frequency components. The fault signal of the bearing under laboratory conditions was smaller ...

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Approximation Resistance on Satisfiable Instances for Sparse Predicates

Approximation Resistance on Satisfiable Instances for Sparse Predicates

... of encoding the labelings of single vertices as long codes, we encode labelings for the hybrid vertex ...of approximation results and proved the first general criterion for approximation resistant ...

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Neural Sparse Topical Coding

Neural Sparse Topical Coding

... of deep learning, many works combine topic models with neural language model to overcome the computation complexity of topic models (Larochelle and Lauly, 2012a; Cao et ...multiple neural network ...

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Deep Networks with Adaptive Nyström Approximation

Deep Networks with Adaptive Nyström Approximation

... convolutional neural network by an adaptive approximation of a kernel ...is Deep Fried Convnets [30] which brings together convolutional neural networks and kernels via Fastfood [11], a kernel ...

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A proof that rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of semilinear heat equations

A proof that rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of semilinear heat equations

... Deep neural networks and other deep learning methods have very successfully been applied to the numerical approximation of high-dimensional nonlinear parabolic partial differential equations ...

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Bayesian neural networks for sparse coding

Bayesian neural networks for sparse coding

... in neural networks (NNs) [1] has recently gained an attention with the development of dis- tributed approximate inference techniques [2, 3] and general boost in popularity of deep ...

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SPARSE: Structured Prediction using Argument Relative Structured Encoding

SPARSE: Structured Prediction using Argument Relative Structured Encoding

... Cornell University [email protected] Abstract We propose structured encoding as a novel ap- proach to learning representations for relations and events in neural structured prediction. Our approach ...

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Distributed Sparse Cut Approximation

Distributed Sparse Cut Approximation

... the sparse cuts which are limiting the speed of many such processes, finding low conductance cuts can help in identifying critical, important edges and bottlenecks in a given ...finding sparse cuts and also ...

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Sparse Approximation of Singularity Functions

Sparse Approximation of Singularity Functions

... using sparse tensor product approximation is strongly limited in this case—the reduction in the convergence rate essentially offsets the reduction in degrees of freedom in the ...

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Sparse pseudospectral approximation method

Sparse pseudospectral approximation method

... given sparse grid quadra- ture rule. In essence, since the sparse grid quadrature rule is constructed by taking linear combinations of tensor product quad- rature rules, we can take the same linear ...

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