Basis projection for linear transform approximation in real-time applications

Abstract This paper aims to develop a novel framework to systematically trade-off computational complexity with output distortion, in linear multimedia transforms, in an optimal manner. The problem is important in real-time systems where the computational resources available are time-dependent. We solve the real-time adaptation problem by developing an approximate transform framework. There are three key contributions of this paper -(a) a fast basis approximation framework that allows us to store signal independent partial transform results to be used in real-time, (b) estimating the complexity distortion curve for the linear transform using a basis set and (c) determining optimal operating points and a meta-data embedding algorithm for images that allows for real-time adaptation. We have applied this approach on the FFT transform with excellent results

Precision-Energy-Throughput Scaling Of Generic Matrix Multiplication and Convolution Kernels Via Linear Projections

Generic matrix multiplication (GEMM) and one-dimensional convolution/cross-correlation (CONV) kernels often constitute the bulk of the compute- and memory-intensive processing within image/audio recognition and matching systems. We propose a novel method to scale the energy and processing throughput of GEMM and CONV kernels for such error-tolerant multimedia applications by adjusting the precision of computation. Our technique employs linear projections to the input matrix or signal data during the top-level GEMM and CONV blocking and reordering. The GEMM and CONV kernel processing then uses the projected inputs and the results are accumulated to form the final outputs. Throughput and energy scaling takes place by changing the number of projections computed by each kernel, which in turn produces approximate results, i.e. changes the precision of the performed computation. Results derived from a voltage- and frequency-scaled ARM Cortex A15 processor running face recognition and music matching algorithms demonstrate that the proposed approach allows for 280%~440% increase of processing throughput and 75%~80% decrease of energy consumption against optimized GEMM and CONV kernels without any impact in the obtained recognition or matching accuracy. Even higher gains can be obtained if one is willing to tolerate some reduction in the accuracy of the recognition and matching applications

Error tolerant multimedia stream processing: There's plenty of room at the top (of the system stack)

There is a growing realization that the expected fault rates and energy dissipation stemming from increases in CMOS integration will lead to the abandonment of traditional system reliability in favor of approaches that offer reliability to hardware-induced errors across the application, runtime support, architecture, device and integrated-circuit (IC) layers. Commercial stakeholders of multimedia stream processing (MSP) applications, such as information retrieval, stream mining systems, and high-throughput image and video processing systems already feel the strain of inadequate system-level scaling and robustness under the always-increasing user demand. While such applications can tolerate certain imprecision in their results, today's MSP systems do not support a systematic way to exploit this aspect for cross-layer system resilience. However, research is currently emerging that attempts to utilize the error-tolerant nature of MSP applications for this purpose. This is achieved by modifications to all layers of the system stack, from algorithms and software to the architecture and device layer, and even the IC digital logic synthesis itself. Unlike conventional processing that aims for worst-case performance and accuracy guarantees, error-tolerant MSP attempts to provide guarantees for the expected performance and accuracy. In this paper we review recent advances in this field from an MSP and a system (layer-by-layer) perspective, and attempt to foresee some of the components of future cross-layer error-tolerant system design that may influence the multimedia and the general computing landscape within the next ten years. © 1999-2012 IEEE