Irregular dynamics in multidimensional systems is commonly associated with chaos. For infinitely large sparse networks of spiking neurons, mean field theory shows that a balanced state of highly irregular activity arises under various conditions. Here we analytically investigate the microscopic irregular dynamics in finite networks of arbitrary connectivity, keeping track of all individual spik...

In this paper the general characteristics and bandwidth capabilities of Multiprocessor Interconnection Networks have been analyzed. We have examined some popular FT(Four Tree)[8],MFT(Modified Four Tree)[2],THN(Theta Network)[13],NFT(New Four Tree)[4], IFT(Improved Four Tree)[5], IASN(Irregular Augmented Shuffle Network)[14] and IIASN(Improved Irregular Augmented Shuffle Netwrok) [3] networks wh...

We define a new class of random walk processes which maximize entropy. This maximal entropy random walk is equivalent to generic random walk if it takes place on a regular lattice, but it is not if the underlying lattice is irregular. In particular, we consider a lattice with weak dilution. We show that the stationary probability of finding a particle performing maximal entropy random walk loca...

As deep neural networks are increasingly used in applications suited for low-power devices, a fundamental dilemma emerges: the trend is to develop models use increasing amount of data, resulting memory-intensive models; however, devices have very limited memory and cannot store large models. Parameters pruning critical model deployment on devices. Existing efforts mainly focus designing highly ...

In this paper permutation capabilities analysis of fault tolerant [1] Multistage Interconnection Networks have been presented. I have examined some popular FT(Four Tree)[8], MFT(Modified Four Tree)[2], PHI(Phi Network )[11], NFT(New Four Tree)[4], IFT(improved Four Tree)[5], IASN(Irregular Augmented Shuffle)[14] and IIASN(Improved Irregular Augmented Shuffle)[3] networks which are irregular in ...

LATTICE DISCRETE MODELING OF OUT-OF-PLANE BEHAVIOR IRREGULAR MASONRY - 8th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering 28-30 June 2021, Streamed from Athens, Greece

We provide an overview on the application of the exterior calculus of differential forms to the ab initio formulation of lattice field theories, with a focus on irregular or " random " lattices.