Concept Combinations in a Quantum-Theoretic Framework
which consists of two sectors: ‘sector 1’ is a Hilbert space , while ‘sector 2’ is a tensor product Hilbert space . Let us now consider the membership weights of…
the Quantum Formalism: Consequences of a Neural-Oscillator Model to Quantum Cognition
, , and , whose dynamics are given by (1)where and are the overall excitatory and inhibitory couplings between the neural oscillators. During reinforcement, the coupling strengths and are changed…
Variables Recorded Under Mutually Exclusive Conditions: Contextuality-by-Default
. The spins recorded in each trial are realizations of random variables A and B, which, in the simplest case, can attain two values each: a 1 or a 2…
as Bifurcations Shaped Through Sequential Learning
(1) where J ij denotes a connection from the j-th to i-th neuron, is an input pattern of input strength γ, and μ is index of learned mappings. For a…
Electrodiffusive Formalism for Ion Concentration Dynamics in Excitable Cells and the Extracellular Space Surrounding Them
Fig. 1 A two domain-model for ion concentration dynamics in the intra- and extracellular space. The ICS is represented as a cylindrical cable (I), coated by ECS (E). The geometry is…
Approximate and Sample Entropy Measures for Brain Death Diagnosis
is formed by the m-dimension vectors and , where . The max distance between X i and X j can be calculated by (1) Given a threshold r and each ,…
of Heterogeneous Network Modules via Maximization of Bidirectional Information Transmission
or , respectively. Here, p c regulates the total number of connections in the network, q c controls the fraction of inter-modular connections among all connections in the network, and…
Memory Network with Dynamic Synapses
(1) (2) (3)where represents the total input to the ith neuron and represents the noise intensity. The quantity J ij represents the absolute strength of the connection from the jth…
of Dynamic Movement Primitives in Neural Space: A FORCE-Learning Approach
(1) Here, is the internal state of the n-th neuron, is the m-th input current, and is the state of l-th readout neuron determined as (2)From the spirit of RC,…
of Weak Signal Detection in Parallel Arrays of Integrate-and-Fire Neurons by Negative Spatial Correlation
(1) for 1 ≤ i ≤ N, where v i denotes the membrane voltage of neuron i, μ is a dc component in the noisy synaptic input and τ is the membrane time constant…
