Dynamic Systolization for Developing Multiprocessor Supercomputers

A dynamic network approach is introduced for developing reconfigurable, systolic arrays or wavefront processors; This allows one to design very powerful and flexible processors to be used in a general-purpose, reconfigurable, and fault-tolerant, multiprocessor computer system. The concepts of macro-dataflow and multitasking can be integrated to handle variable-resolution granularities in computationally intensive algorithms. A multiprocessor architecture, Remps, is proposed based on these design methodologies. The Remps architecture is generalized from the Cedar, HEP, Cray X- MP, Trac, NYU ultracomputer, S-l, Pumps, Chip, and SAM projects. Our goal is to provide a multiprocessor research model for developing design methodologies, multiprocessing and multitasking supports, dynamic systolic/wavefront array processors, interconnection networks, reconfiguration techniques, and performance analysis tools. These system design and operational techniques should be useful to those who are developing or evaluating multiprocessor supercomputers

Vectorized Circuit

In this report, a newly modified Newton algorithm (MNA) and a data structure for sparse matrix manipulation are presented for analyzing large-scale electronic circuits on the Cyber-205 supercomputer. The MNA is improved from the Multilevel Newton Algorithm (ML NA) developed by Rabbat Sanjiovanni-Vincentelli, and Hsieh (1979). The time complexity and convergence rate of MNA are analyzed. The computation steps are shown in detail by some example circuits. Scalar and vectorized simulation programs have been tested run on a VAX 11/780 Scalar machine and on the Cyber 205 vector processor at Purdue University. From the results obtained, we observe that the MNA results a speedup of about 100 on the Cyber-205 as compared with using a scalar computer to analyze an electronic circuit containing 500 identical subcircuits

The derived moduli space of stable sheaves

We construct the derived scheme of stable sheaves on a smooth projective variety via derived moduli of finite graded modules over a graded ring. We do this by dividing the derived scheme of actions of Ciocan-Fontanine and Kapranov by a suitable algebraic gauge group. We show that the natural notion of GIT-stability for graded modules reproduces stability for sheaves

The Exact Solutions of Certain Linear Partial Difference Equations

Difference equations have many applications and play an important role in numerical analysis, probability, statistics, combinatorics, computer science, and quantum consciousness, etc. We first prove that the partial differential equation is equivalent to partial difference equation with an example of heat equation. Additionally, we use generating functions to find the exact solutions of some simple linear partial difference equations. Then we extend it to more general partial difference equations of higher dimensions and obtain their solutions. We conclude that using multivariable power series as generating function is a very efficient method to solve partial difference equations

Cognitive Computing: Architecture, Technologies and Intelligent Applications

This work was supported in part by the National Natural Science Foundation of China under Grant U1705261 and in part by the Director Fund of WNLO. The work of F. Herrara was supported in part by FEDER Funds and in part by the Spanish Ministry of Science and Technology under Project TIN2017-89517-P

SPATIOTEMPORAL BRAIN DYNAMICS OF INHIBITORY CONTROL IN ADOLESCENTS AND YOUNG ADULTS

Inhibitory control, the ability to inhibit impulsive responses in favor of voluntary responses, remains immature during adolescence. Although this behavior has been well documented, the cognitive and neural processes associated with immature inhibitory control during adolescence are still not well understood. To address this question, we collected Magnetoencephalography (MEG) data from 17 adolescents (age 14-16) and 20 adult participants (age 20-30), where participants performed the antisaccade (AS) and control prosaccade (PS) tasks. Leveraging MEG’s high temporal resolution, our goal was to delineate developmental changes in local neural oscillations and inter-regional neural synchronization associated with preparatory inhibitory control. Participants were shown a preparatory cue (a red “x” for AS or a green “x” for PS) for 1500 ms, followed by a peripheral target where participants were instructed to make a saccade toward (PS) or away (AS) from the target. Neural activity estimates from a priori brain regions were then extracted for oscillatory power and phase synchrony analyses. We found that compared to adults, adolescents showed decreased alpha-band power in the oculomotor regions in preparation to inhibit an upcoming reflexive saccade, suggesting immaturities in functional inhibition of task-inappropriate activity. Furthermore, adolescents showed weaker beta-band power in prefrontal cognitive control regions, which could reflect less robust top-down biasing of sensory and motor processes. Lastly, we found that adolescents showed decreased levels of phase synchrony between frontal and parietal regions, possibly reflecting immaturities in iv coordinating distributed cortical activities. Our results suggest that immaturities in functional inhibition, top-down control, and inter-regional synchrony collectively contribute to immature inhibitory control during adolescence