Neural circuits contain heterogeneous groups of neurons that differ in type, location, connectivity, and basic response properties. However, traditional methods for dimensionality reduction and clustering are ill-suited to recovering the structure underlying the organization of neural circuits. In particular, they do not take advantage of the rich temporal dependencies in multi-neuron recording...

In 1999 Chua demonstrated that it is possible to obtain boolean Cellular Au-tomata (CA) by using Cellular Neural Networks (CNNs), implemented as chips, which definitely reduce the time of simulation for discrete dynamical systems such as CA and allow for a better understanding of complexity. In this work we demonstrate that Chua's Universal Neuron which simulates boolean CA can be generalized f...

Recordings of the membrane potential from a bursting neuron were used to reconstruct the phase curve for that neuron for a limited set of perturbations. These perturbations were inhibitory synaptic conductance pulses able to shift the membrane potential below the most hyperpolarized level attained in the free running mode. The extraction of the phase resetting curve from such a one-dimensional ...

This work was supported by TUBITAK 1001 program (no:118E722), Isik University BAP (No: 16A202), and NVIDIA hardware donation of a Tesla K40 GPU unit.

We revisit fuzzy neural network with a cornerstone notion of generalized hamming distance, which provides a novel and theoretically justified framework to re-interpret many useful neural network techniques in terms of fuzzy logic. In particular, we conjecture and empirically illustrate that, the celebrated batch normalization (BN) technique actually adapts the “normalized” bias such that it app...

The statistical methodology for the analysis of replicated spatial point patterns in complex designs such as those including replications is fairly undeveloped. A mixed model is developed in conjunction with maximum pseudolikelihood and generalized linear mixed modeling by extending Baddeley and Turner's (2000, Australian and New Zealand Journal of Statistics 42, 283-322) work on pseudolikeliho...