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 Deep Learning


At the Edge of Chaos: Real-time Computations and Self-Organized Criticality in Recurrent Neural Networks

Neural Information Processing Systems

In this paper we analyze the relationship between the computational capabilities ofrandomly connected networks of threshold gates in the timeseries domain and their dynamical properties. In particular we propose a complexity measure which we find to assume its highest values near the edge of chaos, i.e. the transition from ordered to chaotic dynamics. Furthermore we show that the proposed complexity measure predicts the computational capabilities very well: only near the edge of chaos are such networks able to perform complex computations on time series. Additionally asimple synaptic scaling rule for self-organized criticality is presented and analyzed.


Minimising Contrastive Divergence in Noisy, Mixed-mode VLSI Neurons

Neural Information Processing Systems

This paper presents VLSI circuits with continuous-valued probabilistic behaviour realized by injecting noise into each computing unit(neuron). Interconnecting the noisy neurons forms a Continuous Restricted Boltzmann Machine (CRBM), which has shown promising performance in modelling and classifying noisy biomedical data.


Minimising Contrastive Divergence in Noisy, Mixed-mode VLSI Neurons

Neural Information Processing Systems

This paper presents VLSI circuits with continuous-valued probabilistic behaviour realized by injecting noise into each computing unit(neuron). Interconnecting the noisy neurons forms a Continuous Restricted Boltzmann Machine (CRBM), which has shown promising performance in modelling and classifying noisy biomedical data.


Adaptive Nonlinear System Identification with Echo State Networks

Neural Information Processing Systems

Echo state networks (ESN) are a novel approach to recurrent neural network training. An ESN consists of a large, fixed, recurrent "reservoir" network, from which the desired output is obtained by training suitable output connection weights. Determination of optimal output weights becomes a linear, uniquely solvable task of MSE minimization. This article reviews the basic ideas and describes an online adaptation scheme based on the RLS algorithm known from adaptive linear systems. As an example, a 10th order NARMA system is adaptively identified.


Adaptive Nonlinear System Identification with Echo State Networks

Neural Information Processing Systems

Echo state networks (ESN) are a novel approach to recurrent neural network training. An ESN consists of a large, fixed, recurrent "reservoir" network, from which the desired output is obtained by training suitable output connection weights. Determination of optimal output weights becomes a linear, uniquely solvable task of MSE minimization. This article reviews the basic ideas and describes an online adaptation scheme based on the RLS algorithm known from adaptive linear systems. As an example, a 10th order NARMA system is adaptively identified.


Reinforcement Learning with Long Short-Term Memory

Neural Information Processing Systems

This paper presents reinforcement learning with a Long Short Term Memory recurrent neural network: RL-LSTM. Model-free RL-LSTM using Advantage(,x) learning and directed exploration can solve non-Markovian tasks with long-term dependencies between relevant events. This is demonstrated in a T-maze task, as well as in a difficult variation of the pole balancing task. 1 Introduction Reinforcement learning (RL) is a way of learning how to behave based on delayed reward signals [12]. Among the more important challenges for RL are tasks where part of the state of the environment is hidden from the agent. Such tasks are called non-Markovian tasks or Partially Observable Markov Decision Processes. Many real world tasks have this problem of hidden state. For instance, in a navigation task different positions in the environment may look the same, but one and the same action may lead to different next states or rewards. Thus, hidden state makes RL more realistic.


Grammar Transfer in a Second Order Recurrent Neural Network

Neural Information Processing Systems

Furthermore, this effect persists even when the new strings violate the syntactic rule slightly as long as they are similar to the old strings [1]. It has been shown in the past studies that recurrent neural networks also have the ability to generalize previously acquired knowledge to novel inputs. For instance, Dienes et al. ([2]) showed that a neural network can generalize abstract knowledge acquired in one domain to a new domain. They trained the network to predict the next input symbol in grammatical sequences in the first domain, and showed that the network was able to learn to predict grammatical sequences in the second domain more effectively than it would have learned them without the prior learning. During the training in the second domain, they had to freeze the weights of a part of the network to prevent catastrophic forgetting. They used this simulation paradigm to emulate and analyze domain transfer, effect of similarity between training and test sequences, and the effect of n-gram information in human data. Hanson et al. ([5]) also showed that a prior learning of a grammar facilitates the learning of a new grammar in the cases where either the syntax or the vocabulary was kept constant. In this study we investigate grammar transfer by a neural network, where both syntax and vocabularies are different from the source grammar to the target grammar. Unlike Dienes et al.'s network, all weights in the network are allowed to change dur- ing the learning of the target grammar, which allows us to investigate interference as well as transfer from the source grammar to the target grammar.


Reinforcement Learning with Long Short-Term Memory

Neural Information Processing Systems

This paper presents reinforcement learning with a Long Short Term Memory recurrent neural network: RL-LSTM. Model-free RL-LSTM using Advantage(,x) learning and directed exploration can solve non-Markovian tasks with long-term dependencies between relevant events. This is demonstrated in a T-maze task, as well as in a difficult variation of the pole balancing task. 1 Introduction Reinforcement learning (RL) is a way of learning how to behave based on delayed reward signals [12]. Among the more important challenges for RL are tasks where part of the state of the environment is hidden from the agent. Such tasks are called non-Markovian tasks or Partially Observable Markov Decision Processes. Many real world tasks have this problem of hidden state. For instance, in a navigation task different positions in the environment may look the same, but one and the same action may lead to different next states or rewards. Thus, hidden state makes RL more realistic.


Grammar Transfer in a Second Order Recurrent Neural Network

Neural Information Processing Systems

Furthermore, this effect persists even when the new strings violate the syntactic rule slightly as long as they are similar to the old strings [1]. It has been shown in the past studies that recurrent neural networks also have the ability to generalize previously acquired knowledge to novel inputs. For instance, Dienes et al. ([2]) showed that a neural network can generalize abstract knowledge acquired in one domain to a new domain. They trained the network to predict the next input symbol in grammatical sequences in the first domain, and showed that the network was able to learn to predict grammatical sequences in the second domain more effectively than it would have learned them without the prior learning. During the training in the second domain, they had to freeze the weights of a part of the network to prevent catastrophic forgetting. They used this simulation paradigm to emulate and analyze domain transfer, effect of similarity between training and test sequences, and the effect of n-gram information in human data. Hanson et al. ([5]) also showed that a prior learning of a grammar facilitates the learning of a new grammar in the cases where either the syntax or the vocabulary was kept constant. In this study we investigate grammar transfer by a neural network, where both syntax and vocabularies are different from the source grammar to the target grammar. Unlike Dienes et al.'s network, all weights in the network are allowed to change dur- ing the learning of the target grammar, which allows us to investigate interference as well as transfer from the source grammar to the target grammar.


Reinforcement Learning with Long Short-Term Memory

Neural Information Processing Systems

This paper presents reinforcement learning with a Long Short Term Memory recurrent neural network: RL-LSTM. Model-free RL-LSTM using Advantage(,x) learning and directed exploration can solve non-Markovian tasks with long-term dependencies between relevantevents. This is demonstrated in a T-maze task, as well as in a difficult variation of the pole balancing task. 1 Introduction Reinforcement learning (RL) is a way of learning how to behave based on delayed reward signals [12]. Among the more important challenges for RL are tasks where part of the state of the environment is hidden from the agent. Such tasks are called non-Markovian tasks or Partially Observable Markov Decision Processes. Many real world tasks have this problem of hidden state. For instance, in a navigation task different positions in the environment may look the same, but one and the same action may lead to different next states or rewards. Thus, hidden state makes RL more realistic.