Adapting the interior point method for the solution of linear programs on high performance computers

In this paper we describe a unified algorithmic framework for the interior point method (IPM) of solving Linear Programs (LPs) which allows us to adapt it over a range of high performance computer architectures. We set out the reasons as to why IPM makes better use of high performance computer architecture than the sparse simplex method. In the inner iteration of the IPM a search direction is computed using Newton or higher order methods. Computationally this involves solving a sparse symmetric positive definite (SSPD) system of equations. The choice of direct and indirect methods for the solution of this system and the design of data structures to take advantage of coarse grain parallel and massively parallel computer architectures are considered in detail. Finally, we present experimental results of solving NETLIB test problems on examples of these architectures and put forward arguments as to why integration of the system within sparse simplex is beneficial

Real-time and distributed applications for dictionary-based data compression

The greedy approach to dictionary-based static text compression can be executed by a finite state machine. When it is applied in parallel to different blocks of data independently, there is no lack of robustness even on standard large scale distributed systems with input files of arbitrary size. Beyond standard large scale, a negative effect on the compression effectiveness is caused by the very small size of the data blocks. A robust approach for extreme distributed systems is presented in this paper, where this problem is fixed by overlapping adjacent blocks and preprocessing the neighborhoods of the boundaries. Moreover, we introduce the notion of pseudo-prefix dictionary, which allows optimal compression by means of a real-time semi-greedy procedure and a slight improvement on the compression ratio obtained by the distributed implementations

Algorithm Based Fault Tolerance in Massively Parallel Systems

An A complex computer system consists of billions of transistors, miles of wires, and many interactions with an unpredictable environment. Correct results must be produced despite faults that dynamically occur in some of these components. Many techniques have been developed for fault tolerant computation. General purpose methods are independent of the application, yet incur an overhead cost which may be unacceptable for massively parallel systems. Algorithm-specific methods, which can operate at lower cost, are a developing alternative [1, 72]. This paper first reviews the general-purpose approach and then focuses on the algorithm-specific method, with an eye toward massively parallel processors. Algorithm-based fault tolerance has the attraction of low overhead; furthermore it addresses both the detection and also the correction problems. The principle is to build low-cost checking and correcting mechanism based exclusively on the redundancies inherent in the system

Numerical propulsion system simulation: An interdisciplinary approach

The tremendous progress being made in computational engineering and the rapid growth in computing power that is resulting from parallel processing now make it feasible to consider the use of computer simulations to gain insights into the complex interactions in aerospace propulsion systems and to evaluate new concepts early in the design process before a commitment to hardware is made. Described here is a NASA initiative to develop a Numerical Propulsion System Simulation (NPSS) capability

Architecture and Design of Medical Processor Units for Medical Networks

This paper introduces analogical and deductive methodologies for the design medical processor units (MPUs). From the study of evolution of numerous earlier processors, we derive the basis for the architecture of MPUs. These specialized processors perform unique medical functions encoded as medical operational codes (mopcs). From a pragmatic perspective, MPUs function very close to CPUs. Both processors have unique operation codes that command the hardware to perform a distinct chain of subprocesses upon operands and generate a specific result unique to the opcode and the operand(s). In medical environments, MPU decodes the mopcs and executes a series of medical sub-processes and sends out secondary commands to the medical machine. Whereas operands in a typical computer system are numerical and logical entities, the operands in medical machine are objects such as such as patients, blood samples, tissues, operating rooms, medical staff, medical bills, patient payments, etc. We follow the functional overlap between the two processes and evolve the design of medical computer systems and networks.Comment: 17 page

Connectionist models of language learning: implications for writing pedagogy

Connectionism -an interdisciplinary approach that draws heaüly from hard science- promises to be the new paradigm shift for linguistics and psychology, and has important implications for both composition studies and the teaching of writing. The models are innovative primarily because -in a manner extendable to neurobiological reality- they process in a parallel rather than a serial manner and address subsymbolic rather tan symbolic representations. As neuroscientific knowledge expands, such models may be amended and developed to mirror learning of all types. Even at their current level of development, they proüde several important insights into the nature of cognition. This investigation uses connectionist assumptions as analytical tools to explain much about past theoretical frameworks in written composition, and -more significantly- to suggest some important Considerations for writing pedagogy

From Conventional to Cl-Based Spatial Analysis

Series: Discussion Papers of the Institute for Economic Geography and GIScienc

Scheduling strategies for time-sensitive distributed applications on edge computing

Edge computing is a distributed computing paradigm that shifts the computation capabilities close to the data sources. This new paradigm, coupled with the use of parallel embedded processor architectures, is becoming a very promising solution for time-sensitive distributed applications used in Internet of Things and large Cyber-Physical Systems (e.g., those used in smart cities) to alleviate the pressure on centralized solutions. However, the distribution and heterogeneity nature of the edge computing complicates the response-time analysis on these type of applications. This thesis addresses this challenge by proposing a new Directed Acyclic Graph (DAG)-task based system model to characterize: (1) the distribution nature of applications executed on the edge; and (2) the heterogeneous computation and network communication capabilities of edge computing platforms. Based on this system model, this work presents five different scheduling strategies: four sub-optimal but tractable heuristics and an optimal but costly approach based on a mixed integer linear programming (MILP), that minimize the overall response time of distributed time-sensitive applications. To address both issues, and as a proof of concept, we use COMPSs, a framework composed of a task-based programming model and a runtime used to program and efficiently distribute time-sensitive applications across the compute continuum. However, COMPSs is agnostic of time-sensitive applications, hence in this work we extend it to consider the dynamic scheduling based on the proposed scheduling strategies. Our results show that our scheduling heuristics outperform current scheduling solutions, while providing an average and upper-bound execution time comparable to the optimal one provided by the MILP allocation approach