Approximate Computing Survey, Part I: Terminology and Software & Hardware Approximation Techniques

The rapid growth of demanding applications in domains applying multimedia processing and machine learning has marked a new era for edge and cloud computing. These applications involve massive data and compute-intensive tasks, and thus, typical computing paradigms in embedded systems and data centers are stressed to meet the worldwide demand for high performance. Concurrently, the landscape of the semiconductor field in the last 15 years has constituted power as a first-class design concern. As a result, the community of computing systems is forced to find alternative design approaches to facilitate high-performance and/or power-efficient computing. Among the examined solutions, Approximate Computing has attracted an ever-increasing interest, with research works applying approximations across the entire traditional computing stack, i.e., at software, hardware, and architectural levels. Over the last decade, there is a plethora of approximation techniques in software (programs, frameworks, compilers, runtimes, languages), hardware (circuits, accelerators), and architectures (processors, memories). The current article is Part I of our comprehensive survey on Approximate Computing, and it reviews its motivation, terminology and principles, as well it classifies and presents the technical details of the state-of-the-art software and hardware approximation techniques.Comment: Under Review at ACM Computing Survey

Circuit simulation using distributed waveform relaxation techniques

Simulation plays an important role in the design of integrated circuits. Due to high costs and large delays involved in their fabrication, simulation is commonly used to verify functionality and to predict performance before fabrication. This thesis describes analysis, implementation and performance evaluation of a distributed memory parallel waveform relaxation technique for the electrical circuit simulation of MOS VLSI circuits. The waveform relaxation technique exhibits inherent parallelism due to the partitioning of a circuit into a number of sub-circuits. These subcircuits can be concurrently simulated on parallel processors. Different forms of parallelism in the direct method and the waveform relaxation technique are studied. An analysis of single queue and distributed queue approaches to implement parallel waveform relaxation on distributed memory machines is performed and their performance implications are studied. The distributed queue approach selected for exploiting the coarse grain parallelism across sub-circuits is described. Parallel waveform relaxation programs based on Gauss-Seidel and Gauss-Jacobi techniques are implemented using a network of eight Transputers. Static and dynamic load balancing strategies are studied. A dynamic load balancing algorithm is developed and implemented. Results of parallel implementation are analyzed to identify sources of bottlenecks. This thesis has demonstrated the applicability of a low cost distributed memory multi-computer system for simulation of MOS VLSI circuits. Speed-up measurements prove that a five times improvement in the speed of calculations can be achieved using a full window parallel Gauss-Jacobi waveform relaxation algorithm. Analysis of overheads shows that load imbalance is the major source of overhead and that the fraction of the computation which must be performed sequentially is very low. Communication overhead depends on the nature of the parallel architecture and the design of communication mechanisms. The run-time environment (parallel processing framework) developed in this research exploits features of the Transputer architecture to reduce the effect of the communication overhead by effectively overlapping computation with communications, and running communications processes at a higher priority. This research will contribute to the development of low cost, high performance workstations for computer-aided design and analysis of VLSI circuits

FPGA structures for high speed and low overhead dynamic circuit specialization

A Field Programmable Gate Array (FPGA) is a programmable digital electronic chip. The FPGA does not come with a predefined function from the manufacturer; instead, the developer has to define its function through implementing a digital circuit on the FPGA resources. The functionality of the FPGA can be reprogrammed as desired and hence the name “field programmable”. FPGAs are useful in small volume digital electronic products as the design of a digital custom chip is expensive. Changing the FPGA (also called configuring it) is done by changing the configuration data (in the form of bitstreams) that defines the FPGA functionality. These bitstreams are stored in a memory of the FPGA called configuration memory. The SRAM cells of LookUp Tables (LUTs), Block Random Access Memories (BRAMs) and DSP blocks together form the configuration memory of an FPGA. The configuration data can be modified according to the user’s needs to implement the user-defined hardware. The simplest way to program the configuration memory is to download the bitstreams using a JTAG interface. However, modern techniques such as Partial Reconfiguration (PR) enable us to configure a part in the configuration memory with partial bitstreams during run-time. The reconfiguration is achieved by swapping in partial bitstreams into the configuration memory via a configuration interface called Internal Configuration Access Port (ICAP). The ICAP is a hardware primitive (macro) present in the FPGA used to access the configuration memory internally by an embedded processor. The reconfiguration technique adds flexibility to use specialized ci rcuits that are more compact and more efficient t han t heir b ulky c ounterparts. An example of such an implementation is the use of specialized multipliers instead of big generic multipliers in an FIR implementation with constant coefficients. To specialize these circuits and reconfigure during the run-time, researchers at the HES group proposed the novel technique called parameterized reconfiguration that can be used to efficiently and automatically implement Dynamic Circuit Specialization (DCS) that is built on top of the Partial Reconfiguration method. It uses the run-time reconfiguration technique that is tailored to implement a parameterized design. An application is said to be parameterized if some of its input values change much less frequently than the rest. These inputs are called parameters. Instead of implementing these parameters as regular inputs, in DCS these inputs are implemented as constants, and the application is optimized for the constants. For every change in parameter values, the design is re-optimized (specialized) during run-time and implemented by reconfiguring the optimized design for a new set of parameters. In DCS, the bitstreams of the parameterized design are expressed as Boolean functions of the parameters. For every infrequent change in parameters, a specialized FPGA configuration is generated by evaluating the corresponding Boolean functions, and the FPGA is reconfigured with the specialized configuration. A detailed study of overheads of DCS and providing suitable solutions with appropriate custom FPGA structures is the primary goal of the dissertation. I also suggest different improvements to the FPGA configuration memory architecture. After offering the custom FPGA structures, I investigated the role of DCS on FPGA overlays and the use of custom FPGA structures that help to reduce the overheads of DCS on FPGA overlays. By doing so, I hope I can convince the developer to use DCS (which now comes with minimal costs) in real-world applications. I start the investigations of overheads of DCS by implementing an adaptive FIR filter (using the DCS technique) on three different Xilinx FPGA platforms: Virtex-II Pro, Virtex-5, and Zynq-SoC. The study of how DCS behaves and what is its overhead in the evolution of the three FPGA platforms is the non-trivial basis to discover the costs of DCS. After that, I propose custom FPGA structures (reconfiguration controllers and reconfiguration drivers) to reduce the main overhead (reconfiguration time) of DCS. These structures not only reduce the reconfiguration time but also help curbing the power hungry part of the DCS system. After these chapters, I study the role of DCS on FPGA overlays. I investigate the effect of the proposed FPGA structures on Virtual-Coarse-Grained Reconfigurable Arrays (VCGRAs). I classify the VCGRA implementations into three types: the conventional VCGRA, partially parameterized VCGRA and fully parameterized VCGRA depending upon the level of parameterization. I have designed two variants of VCGRA grids for HPC image processing applications, namely, the MAC grid and Pixie. Finally, I try to tackle the reconfiguration time overhead at the hardware level of the FPGA by customizing the FPGA configuration memory architecture. In this part of my research, I propose to use a parallel memory structure to improve the reconfiguration time of DCS drastically. However, this improvement comes with a significant overhead of hardware resources which will need to be solved in future research on commercial FPGA configuration memory architectures