The mathematical representation of the feedforward network with the tansig activation function is given by the following system: (2.28)nk,t=ωk,o+∑i=1i*ωk,ixi,t (2.29)Nk,t=T(nk,t) (2.30)=enk,t−e−nk,tenk,t+
Recently, a deep neural network representation of density functional theory (DFT) Hamiltonian (named DeepH) was developed by employing the locality of electronic matter, localized basis, and local coordinate transformation25. By the DeepH approach, the computationally demanding self-consistent field iter...
L. Owl’s behavior and neural representation predicted by Bayesian inference. Nat. Neurosci. 14, 1061–1066 (2011). Article CAS PubMed PubMed Central Google Scholar May, T., Van De Par, S. & Kohlrausch, A. A probabilistic model for robust localization based on a binaural auditory front...
Representation of this task in Cartesian coordinates requires non-linear coordinate transformations; realizing such a transformation in the nervous system appears to require many neurons. The present simulation using the back-propagation algorithm shows that a simple network of only nine units — 3 ...
Compared with other shallow learning models (such as, SVM, traditional and boosting neural network), deep learning has much more multilayer nonlinear operational elements as its hidden layers [48], as shown in Fig. 3. The intent of deep learning is to discover more abstract representation of ...
The Fraunhofer Neural Network Encoder/Decoder Software (NNCodec) is an efficient implementation of NNC (Neural Network Coding / ISO/IEC 15938-17 or MPEG-7 part 17), which is the first international standard on compression of neural networks. NNCodec provides an encoder and decoder with the foll...
The following image presents the process of lemmatization and representation using a bag-of-words model: Creating features using a bag-of-words model First, the inflected form of every word is reduced to its lemma. Then, the number of occurrences of that word is computed. The result is an...
representation and creating an invariance to small shifts and distortions. Two or three stages of convolution, non-linearity and pooling are stacked, followed by more convolutional and fully-connected layers. Backpropagating gradients through a ConvNet is as simple as through a regular deep network,...
Another difficulty of using neural networks is that traditional neural networks are unable to explain how they are solving tasks. In some application fields like medicine this explanation is more important than the result itself. Internal result representation is often so complex that it is impossible...
which provide the conceptual framework for information representation appropriate to machine-based communication. Neural-network systems (biological or artificial) do not store information or process it in the way that conventional digital computers do. Specifically, the basic unit of neural-network operati...