358 research outputs found

    Approximate and timing-speculative hardware design for high-performance and energy-efficient video processing

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    Since the end of transistor scaling in 2-D appeared on the horizon, innovative circuit design paradigms have been on the rise to go beyond the well-established and ultraconservative exact computing. Many compute-intensive applications โ€“ such as video processing โ€“ exhibit an intrinsic error resilience and do not necessarily require perfect accuracy in their numerical operations. Approximate computing (AxC) is emerging as a design alternative to improve the performance and energy-efficiency requirements for many applications by trading its intrinsic error tolerance with algorithm and circuit efficiency. Exact computing also imposes a worst-case timing to the conventional design of hardware accelerators to ensure reliability, leading to an efficiency loss. Conversely, the timing-speculative (TS) hardware design paradigm allows increasing the frequency or decreasing the voltage beyond the limits determined by static timing analysis (STA), thereby narrowing pessimistic safety margins that conventional design methods implement to prevent hardware timing errors. Timing errors should be evaluated by an accurate gate-level simulation, but a significant gap remains: How these timing errors propagate from the underlying hardware all the way up to the entire algorithm behavior, where they just may degrade the performance and quality of service of the application at stake? This thesis tackles this issue by developing and demonstrating a cross-layer framework capable of performing investigations of both AxC (i.e., from approximate arithmetic operators, approximate synthesis, gate-level pruning) and TS hardware design (i.e., from voltage over-scaling, frequency over-clocking, temperature rising, and device aging). The cross-layer framework can simulate both timing errors and logic errors at the gate-level by crossing them dynamically, linking the hardware result with the algorithm-level, and vice versa during the evolution of the applicationโ€™s runtime. Existing frameworks perform investigations of AxC and TS techniques at circuit-level (i.e., at the output of the accelerator) agnostic to the ultimate impact at the application level (i.e., where the impact is truly manifested), leading to less optimization. Unlike state of the art, the framework proposed offers a holistic approach to assessing the tradeoff of AxC and TS techniques at the application-level. This framework maximizes energy efficiency and performance by identifying the maximum approximation levels at the application level to fulfill the required good enough quality. This thesis evaluates the framework with an 8-way SAD (Sum of Absolute Differences) hardware accelerator operating into an HEVC encoder as a case study. Application-level results showed that the SAD based on the approximate adders achieve savings of up to 45% of energy/operation with an increase of only 1.9% in BD-BR. On the other hand, VOS (Voltage Over-Scaling) applied to the SAD generates savings of up to 16.5% in energy/operation with around 6% of increase in BD-BR. The framework also reveals that the boost of about 6.96% (at 50ยฐ) to 17.41% (at 75ยฐ with 10- Y aging) in the maximum clock frequency achieved with TS hardware design is totally lost by the processing overhead from 8.06% to 46.96% when choosing an unreliable algorithm to the blocking match algorithm (BMA). We also show that the overhead can be avoided by adopting a reliable BMA. This thesis also shows approximate DTT (Discrete Tchebichef Transform) hardware proposals by exploring a transform matrix approximation, truncation and pruning. The results show that the approximate DTT hardware proposal increases the maximum frequency up to 64%, minimizes the circuit area in up to 43.6%, and saves up to 65.4% in power dissipation. The DTT proposal mapped for FPGA shows an increase of up to 58.9% on the maximum frequency and savings of about 28.7% and 32.2% on slices and dynamic power, respectively compared with stat

    A Modified Architecture for Radix-4 Booth Multiplier with Adaptive Hold Logic

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    High speed digital multipliers are most efficiently used in many applications such as Fourier transform, discrete cosine transforms, and digital filtering. The throughput of the multipliers is based on speed of the multiplier, and then the entire performance of the circuit depends on it. The pMOS transistor in negative bias cause negative bias temperature instability (NBTI), which increases the threshold voltage of the transistor and reduces the multiplier speed. Similarly, the nMOS transistor in positive bias cause positive bias temperature instability (PBTI).These effects reduce the transistor speed and the system may fail due to timing violations. So here a new multiplier was designed with novel adaptive hold logic (AHL) using Radix-4 Modified Booth Multiplier. By using Radix-4 Modified Booth Encoding (MBE), we can reduce the number of partial products by half. Modified booth multiplier helps to provide higher throughput with low power consumption. This can adjust the AHL circuit to reduce the performance degradation. The expected result will be reduce threshold voltage, increase throughput and speed and also reduce power. This modified multiplier design is coded by Verilog and simulated using Xilinx ISE 12.1 and implemented in Spartan 3E FPGA kit

    ๊ทผ์‚ฌ ์ปดํ“จํŒ…์„ ์ด์šฉํ•œ ํšŒ๋กœ ๋…ธํ™” ๋ณด์ƒ๊ณผ ์—๋„ˆ์ง€ ํšจ์œจ์ ์ธ ์‹ ๊ฒฝ๋ง ๊ตฌํ˜„

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    ํ•™์œ„๋…ผ๋ฌธ (๋ฐ•์‚ฌ) -- ์„œ์šธ๋Œ€ํ•™๊ต ๋Œ€ํ•™์› : ๊ณต๊ณผ๋Œ€ํ•™ ์ „๊ธฐยท์ •๋ณด๊ณตํ•™๋ถ€, 2020. 8. ์ดํ˜์žฌ.Approximate computing reduces the cost (energy and/or latency) of computations by relaxing the correctness (i.e., precision) of computations up to the level, which is dependent on types of applications. Moreover, it can be realized in various hierarchies of computing system design from circuit level to application level. This dissertation presents the methodologies applying approximate computing across such hierarchies; compensating aging-induced delay in logic circuit by dynamic computation approximation (Chapter 1), designing energy-efficient neural network by combining low-power and low-latency approximate neuron models (Chapter 2), and co-designing in-memory gradient descent module with neural processing unit so as to address a memory bottleneck incurred by memory I/O for high-precision data (Chapter 3). The first chapter of this dissertation presents a novel design methodology to turn the timing violation caused by aging into computation approximation error without the reliability guardband or increasing the supply voltage. It can be realized by accurately monitoring the critical path delay at run-time. The proposal is evaluated at two levels: RTL component level and system level. The experimental results at the RTL component level show a significant improvement in terms of (normalized) mean squared error caused by the timing violation and, at the system level, show that the proposed approach successfully transforms the aging-induced timing violation errors into much less harmful computation approximation errors, therefore it recovers image quality up to perceptually acceptable levels. It reduces the dynamic and static power consumption by 21.45% and 10.78%, respectively, with 0.8% area overhead compared to the conventional approach. The second chapter of this dissertation presents an energy-efficient neural network consisting of alternative neuron models; Stochastic-Computing (SC) and Spiking (SP) neuron models. SC has been adopted in various fields to improve the power efficiency of systems by performing arithmetic computations stochastically, which approximates binary computation in conventional computing systems. Moreover, a recent work showed that deep neural network (DNN) can be implemented in the manner of stochastic computing and it greatly reduces power consumption. However, Stochastic DNN (SC-DNN) suffers from problem of high latency as it processes only a bit per cycle. To address such problem, it is proposed to adopt Spiking DNN (SP-DNN) as an input interface for SC-DNN since SP effectively processes more bits per cycle than SC-DNN. Moreover, this chapter resolves the encoding mismatch problem, between two different neuron models, without hardware cost by compensating the encoding mismatch with synapse weight calibration. A resultant hybrid DNN (SPSC-DNN) consists of SP-DNN as bottom layers and SC-DNN as top layers. Exploiting the reduced latency from SP-DNN and low-power consumption from SC-DNN, the proposed SPSC-DNN achieves improved energy-efficiency with lower error-rate compared to SC-DNN and SP-DNN in same network configuration. The third chapter of this dissertation proposes GradPim architecture, which accelerates the parameter updates by in-memory processing which is codesigned with 8-bit floating-point training in Neural Processing Unit (NPU) for deep neural networks. By keeping the high precision processing algorithms in memory, such as the parameter update incorporating high-precision weights in its computation, the GradPim architecture can achieve high computational efficiency using 8-bit floating point in NPU and also gain power efficiency by eliminating massive high-precision data transfers between NPU and off-chip memory. A simple extension of DDR4 SDRAM utilizing bank-group parallelism makes the operation designs in processing-in-memory (PIM) module efficient in terms of hardware cost and performance. The experimental results show that the proposed architecture can improve the performance of the parameter update phase in the training by up to 40% and greatly reduce the memory bandwidth requirement while posing only a minimal amount of overhead to the protocol and the DRAM area.๊ทผ์‚ฌ ์ปดํ“จํŒ…์€ ์—ฐ์‚ฐ์˜ ์ •ํ™•๋„์˜ ์†์‹ค์„ ์–ดํ”Œ๋ฆฌ์ผ€์ด์…˜ ๋ณ„ ์ ์ ˆํ•œ ์ˆ˜์ค€๊นŒ์ง€ ํ—ˆ์šฉํ•จ์œผ๋กœ์จ ์—ฐ์‚ฐ์— ํ•„์š”ํ•œ ๋น„์šฉ (์—๋„ˆ์ง€๋‚˜ ์ง€์—ฐ์‹œ๊ฐ„)์„ ์ค„์ธ๋‹ค. ๊ฒŒ๋‹ค๊ฐ€, ๊ทผ์‚ฌ ์ปดํ“จํŒ…์€ ์ปดํ“จํŒ… ์‹œ์Šคํ…œ ์„ค๊ณ„์˜ ํšŒ๋กœ ๊ณ„์ธต๋ถ€ํ„ฐ ์–ดํ”Œ๋ฆฌ์ผ€์ด์…˜ ๊ณ„์ธต๊นŒ์ง€ ๋‹ค์–‘ํ•œ ๊ณ„์ธต์— ์ ์šฉ๋  ์ˆ˜ ์žˆ๋‹ค. ๋ณธ ๋…ผ๋ฌธ์—์„œ๋Š” ๊ทผ์‚ฌ ์ปดํ“จํŒ… ๋ฐฉ๋ฒ•๋ก ์„ ๋‹ค์–‘ํ•œ ์‹œ์Šคํ…œ ์„ค๊ณ„์˜ ๊ณ„์ธต์— ์ ์šฉํ•˜์—ฌ ์ „๋ ฅ๊ณผ ์—๋„ˆ์ง€ ์ธก๋ฉด์—์„œ ์ด๋“์„ ์–ป์„ ์ˆ˜ ์žˆ๋Š” ๋ฐฉ๋ฒ•๋“ค์„ ์ œ์•ˆํ•˜์˜€๋‹ค. ์ด๋Š”, ์—ฐ์‚ฐ ๊ทผ์‚ฌํ™” (computation Approximation)๋ฅผ ํ†ตํ•ด ํšŒ๋กœ์˜ ๋…ธํ™”๋กœ ์ธํ•ด ์ฆ๊ฐ€๋œ ์ง€์—ฐ์‹œ๊ฐ„์„ ์ถ”๊ฐ€์ ์ธ ์ „๋ ฅ์†Œ๋ชจ ์—†์ด ๋ณด์ƒํ•˜๋Š” ๋ฐฉ๋ฒ•๊ณผ (์ฑ•ํ„ฐ 1), ๊ทผ์‚ฌ ๋‰ด๋Ÿฐ๋ชจ๋ธ (approximate neuron model)์„ ์ด์šฉํ•ด ์—๋„ˆ์ง€ ํšจ์œจ์ด ๋†’์€ ์‹ ๊ฒฝ๋ง์„ ๊ตฌ์„ฑํ•˜๋Š” ๋ฐฉ๋ฒ• (์ฑ•ํ„ฐ 2), ๊ทธ๋ฆฌ๊ณ  ๋ฉ”๋ชจ๋ฆฌ ๋Œ€์—ญํญ์œผ๋กœ ์ธํ•œ ๋ณ‘๋ชฉํ˜„์ƒ ๋ฌธ์ œ๋ฅผ ๋†’์€ ์ •ํ™•๋„ ๋ฐ์ดํ„ฐ๋ฅผ ํ™œ์šฉํ•œ ์—ฐ์‚ฐ์„ ๋ฉ”๋ชจ๋ฆฌ ๋‚ด์—์„œ ์ˆ˜ํ–‰ํ•จ์œผ๋กœ์จ ์™„ํ™”์‹œํ‚ค๋Š” ๋ฐฉ๋ฒ•์„ (์ฑ•ํ„ฐ3) ์ œ์•ˆํ•˜์˜€๋‹ค. ์ฒซ ๋ฒˆ์งธ ์ฑ•ํ„ฐ๋Š” ํšŒ๋กœ์˜ ๋…ธํ™”๋กœ ์ธํ•œ ์ง€์—ฐ์‹œ๊ฐ„์œ„๋ฐ˜์„ (timing violation) ์„ค๊ณ„๋งˆ์ง„์ด๋‚˜ (reliability guardband) ๊ณต๊ธ‰์ „๋ ฅ์˜ ์ฆ๊ฐ€ ์—†์ด ์—ฐ์‚ฐ์˜ค์ฐจ (computation approximation error)๋ฅผ ํ†ตํ•ด ๋ณด์ƒํ•˜๋Š” ์„ค๊ณ„๋ฐฉ๋ฒ•๋ก  (design methodology)๋ฅผ ์ œ์•ˆํ•˜์˜€๋‹ค. ์ด๋ฅผ ์œ„ํ•ด ์ฃผ์š”๊ฒฝ๋กœ์˜ (critical path) ์ง€์—ฐ์‹œ๊ฐ„์„ ๋™์ž‘์‹œ๊ฐ„์— ์ •ํ™•ํ•˜๊ฒŒ ์ธก์ •ํ•  ํ•„์š”๊ฐ€ ์žˆ๋‹ค. ์—ฌ๊ธฐ์„œ ์ œ์•ˆํ•˜๋Š” ๋ฐฉ๋ฒ•๋ก ์€ RTL component์™€ system ๋‹จ๊ณ„์—์„œ ํ‰๊ฐ€๋˜์—ˆ๋‹ค. RTL component ๋‹จ๊ณ„์˜ ์‹คํ—˜๊ฒฐ๊ณผ๋ฅผ ํ†ตํ•ด ์ œ์•ˆํ•œ ๋ฐฉ์‹์ด ํ‘œ์ค€ํ™”๋œ ํ‰๊ท ์ œ๊ณฑ์˜ค์ฐจ๋ฅผ (normalized mean squared error) ์ƒ๋‹นํžˆ ์ค„์˜€์Œ์„ ๋ณผ ์ˆ˜ ์žˆ๋‹ค. ๊ทธ๋ฆฌ๊ณ  system ๋‹จ๊ณ„์—์„œ๋Š” ์ด๋ฏธ์ง€์ฒ˜๋ฆฌ ์‹œ์Šคํ…œ์—์„œ ์ด๋ฏธ์ง€์˜ ํ’ˆ์งˆ์ด ์ธ์ง€์ ์œผ๋กœ ์ถฉ๋ถ„ํžˆ ํšŒ๋ณต๋˜๋Š” ๊ฒƒ์„ ๋ณด์ž„์œผ๋กœ์จ ํšŒ๋กœ๋…ธํ™”๋กœ ์ธํ•ด ๋ฐœ์ƒํ•œ ์ง€์—ฐ์‹œ๊ฐ„์œ„๋ฐ˜ ์˜ค์ฐจ๊ฐ€ ์—๋Ÿฌ์˜ ํฌ๊ธฐ๊ฐ€ ์ž‘์€ ์—ฐ์‚ฐ์˜ค์ฐจ๋กœ ๋ณ€๊ฒฝ๋˜๋Š” ๊ฒƒ์„ ํ™•์ธ ํ•  ์ˆ˜ ์žˆ์—ˆ๋‹ค. ๊ฒฐ๋ก ์ ์œผ๋กœ, ์ œ์•ˆ๋œ ๋ฐฉ๋ฒ•๋ก ์„ ๋”ฐ๋ž์„ ๋•Œ 0.8%์˜ ๊ณต๊ฐ„์„ (area) ๋” ์‚ฌ์šฉํ•˜๋Š” ๋น„์šฉ์„ ์ง€๋ถˆํ•˜๊ณ  21.45%์˜ ๋™์ ์ „๋ ฅ์†Œ๋ชจ์™€ (dynamic power consumption) 10.78%์˜ ์ •์ ์ „๋ ฅ์†Œ๋ชจ์˜ (static power consumption) ๊ฐ์†Œ๋ฅผ ๋‹ฌ์„ฑํ•  ์ˆ˜ ์žˆ์—ˆ๋‹ค. ๋‘ ๋ฒˆ์งธ ์ฑ•ํ„ฐ๋Š” ๊ทผ์‚ฌ ๋‰ด๋Ÿฐ๋ชจ๋ธ์„ ํ™œ์šฉํ•˜๋Š” ๊ณ -์—๋„ˆ์ง€ํšจ์œจ์˜ ์‹ ๊ฒฝ๋ง์„ (neural network) ์ œ์•ˆํ•˜์˜€๋‹ค. ๋ณธ ๋…ผ๋ฌธ์—์„œ ์‚ฌ์šฉํ•œ ๋‘ ๊ฐ€์ง€์˜ ๊ทผ์‚ฌ ๋‰ด๋Ÿฐ๋ชจ๋ธ์€ ํ™•๋ฅ ์ปดํ“จํŒ…๊ณผ (stochastic computing) ์ŠคํŒŒ์ดํ‚น๋‰ด๋Ÿฐ (spiking neuron) ์ด๋ก ๋“ค์„ ๊ธฐ๋ฐ˜์œผ๋กœ ๋ชจ๋ธ๋ง๋˜์—ˆ๋‹ค. ํ™•๋ฅ ์ปดํ“จํŒ…์€ ์‚ฐ์ˆ ์—ฐ์‚ฐ๋“ค์„ ํ™•๋ฅ ์ ์œผ๋กœ ์ˆ˜ํ–‰ํ•จ์œผ๋กœ์จ ์ด์ง„์—ฐ์‚ฐ์„ ๋‚ฎ์€ ์ „๋ ฅ์†Œ๋ชจ๋กœ ์ˆ˜ํ–‰ํ•œ๋‹ค. ์ตœ๊ทผ์— ํ™•๋ฅ ์ปดํ“จํŒ… ๋‰ด๋Ÿฐ๋ชจ๋ธ์„ ์ด์šฉํ•˜์—ฌ ์‹ฌ์ธต ์‹ ๊ฒฝ๋ง (deep neural network)๋ฅผ ๊ตฌํ˜„ํ•  ์ˆ˜ ์žˆ๋‹ค๋Š” ์—ฐ๊ตฌ๊ฐ€ ์ง„ํ–‰๋˜์—ˆ๋‹ค. ๊ทธ๋Ÿฌ๋‚˜, ํ™•๋ฅ ์ปดํ“จํŒ…์„ ๋‰ด๋Ÿฐ๋ชจ๋ธ๋ง์— ํ™œ์šฉํ•  ๊ฒฝ์šฐ ์‹ฌ์ธต์‹ ๊ฒฝ๋ง์ด ๋งค ํด๋ฝ์‚ฌ์ดํด๋งˆ๋‹ค (clock cycle) ํ•˜๋‚˜์˜ ๋น„ํŠธ๋งŒ์„ (bit) ์ฒ˜๋ฆฌํ•˜๋ฏ€๋กœ, ์ง€์—ฐ์‹œ๊ฐ„ ์ธก๋ฉด์—์„œ ๋งค์šฐ ๋‚˜์  ์ˆ˜ ๋ฐ–์— ์—†๋Š” ๋ฌธ์ œ๊ฐ€ ์žˆ๋‹ค. ๋”ฐ๋ผ์„œ ๋ณธ ๋…ผ๋ฌธ์—์„œ๋Š” ์ด๋Ÿฌํ•œ ๋ฌธ์ œ๋ฅผ ํ•ด๊ฒฐํ•˜๊ธฐ ์œ„ํ•˜์—ฌ ์ŠคํŒŒ์ดํ‚น ๋‰ด๋Ÿฐ๋ชจ๋ธ๋กœ ๊ตฌ์„ฑ๋œ ์ŠคํŒŒ์ดํ‚น ์‹ฌ์ธต์‹ ๊ฒฝ๋ง์„ ํ™•๋ฅ ์ปดํ“จํŒ…์„ ํ™œ์šฉํ•œ ์‹ฌ์ธต์‹ ๊ฒฝ๋ง ๊ตฌ์กฐ์™€ ๊ฒฐํ•ฉํ•˜์˜€๋‹ค. ์ŠคํŒŒ์ดํ‚น ๋‰ด๋Ÿฐ๋ชจ๋ธ์˜ ๊ฒฝ์šฐ ๋งค ํด๋ฝ์‚ฌ์ดํด๋งˆ๋‹ค ์—ฌ๋Ÿฌ ๋น„ํŠธ๋ฅผ ์ฒ˜๋ฆฌํ•  ์ˆ˜ ์žˆ์œผ๋ฏ€๋กœ ์‹ฌ์ธต์‹ ๊ฒฝ๋ง์˜ ์ž…๋ ฅ ์ธํ„ฐํŽ˜์ด์Šค๋กœ ์‚ฌ์šฉ๋  ๊ฒฝ์šฐ ์ง€์—ฐ์‹œ๊ฐ„์„ ์ค„์ผ ์ˆ˜ ์žˆ๋‹ค. ํ•˜์ง€๋งŒ, ํ™•๋ฅ ์ปดํ“จํŒ… ๋‰ด๋Ÿฐ๋ชจ๋ธ๊ณผ ์ŠคํŒŒ์ดํ‚น ๋‰ด๋Ÿฐ๋ชจ๋ธ์˜ ๊ฒฝ์šฐ ๋ถ€ํ˜ธํ™” (encoding) ๋ฐฉ์‹์ด ๋‹ค๋ฅธ ๋ฌธ์ œ๊ฐ€ ์žˆ๋‹ค. ๋”ฐ๋ผ์„œ ๋ณธ ๋…ผ๋ฌธ์—์„œ๋Š” ํ•ด๋‹น ๋ถ€ํ˜ธํ™” ๋ถˆ์ผ์น˜ ๋ฌธ์ œ๋ฅผ ๋ชจ๋ธ์˜ ํŒŒ๋ผ๋ฏธํ„ฐ๋ฅผ ํ•™์Šตํ•  ๋•Œ ๊ณ ๋ คํ•จ์œผ๋กœ์จ, ํŒŒ๋ผ๋ฏธํ„ฐ๋“ค์˜ ๊ฐ’์ด ๋ถ€ํ˜ธํ™” ๋ถˆ์ผ์น˜๋ฅผ ๊ณ ๋ คํ•˜์—ฌ ์กฐ์ ˆ (calibration) ๋  ์ˆ˜ ์žˆ๋„๋ก ํ•˜์—ฌ ๋ฌธ์ œ๋ฅผ ํ•ด๊ฒฐํ•˜์˜€๋‹ค. ์ด๋Ÿฌํ•œ ๋ถ„์„์˜ ๊ฒฐ๊ณผ๋กœ, ์•ž ์ชฝ์—๋Š” ์ŠคํŒŒ์ดํ‚น ์‹ฌ์ธต์‹ ๊ฒฝ๋ง์„ ๋ฐฐ์น˜ํ•˜๊ณ  ๋’ท ์ชฝ์• ๋Š” ํ™•๋ฅ ์ปดํ“จํŒ… ์‹ฌ์ธต์‹ ๊ฒฝ๋ง์„ ๋ฐฐ์น˜ํ•˜๋Š” ํ˜ผ์„ฑ์‹ ๊ฒฝ๋ง์„ ์ œ์•ˆํ•˜์˜€๋‹ค. ํ˜ผ์„ฑ์‹ ๊ฒฝ๋ง์€ ์ŠคํŒŒ์ดํ‚น ์‹ฌ์ธต์‹ ๊ฒฝ๋ง์„ ํ†ตํ•ด ๋งค ํด๋ฝ์‚ฌ์ดํด๋งˆ๋‹ค ์ฒ˜๋ฆฌ๋˜๋Š” ๋น„ํŠธ ์–‘์˜ ์ฆ๊ฐ€๋กœ ์ธํ•œ ์ง€์—ฐ์‹œ๊ฐ„ ๊ฐ์†Œ ํšจ๊ณผ์™€ ํ™•๋ฅ ์ปดํ“จํŒ… ์‹ฌ์ธต์‹ ๊ฒฝ๋ง์˜ ์ €์ „๋ ฅ ์†Œ๋ชจ ํŠน์„ฑ์„ ๋ชจ๋‘ ํ™œ์šฉํ•จ์œผ๋กœ์จ ๊ฐ ์‹ฌ์ธต์‹ ๊ฒฝ๋ง์„ ๋”ฐ๋กœ ์‚ฌ์šฉํ•˜๋Š” ๊ฒฝ์šฐ ๋Œ€๋น„ ์šฐ์ˆ˜ํ•œ ์—๋„ˆ์ง€ ํšจ์œจ์„ฑ์„ ๋น„์Šทํ•˜๊ฑฐ๋‚˜ ๋” ๋‚˜์€ ์ •ํ™•๋„ ๊ฒฐ๊ณผ๋ฅผ ๋‚ด๋ฉด์„œ ๋‹ฌ์„ฑํ•œ๋‹ค. ์„ธ ๋ฒˆ์งธ ์ฑ•ํ„ฐ๋Š” ์‹ฌ์ธต์‹ ๊ฒฝ๋ง์„ 8๋น„ํŠธ ๋ถ€๋™์†Œ์ˆซ์  ์—ฐ์‚ฐ์œผ๋กœ ํ•™์Šตํ•˜๋Š” ์‹ ๊ฒฝ๋ง์ฒ˜๋ฆฌ์œ ๋‹›์˜ (neural processing unit) ํŒŒ๋ผ๋ฏธํ„ฐ ๊ฐฑ์‹ ์„ (parameter update) ๋ฉ”๋ชจ๋ฆฌ-๋‚ด-์—ฐ์‚ฐ์œผ๋กœ (in-memory processing) ๊ฐ€์†ํ•˜๋Š” GradPIM ์•„ํ‚คํ…์ณ๋ฅผ ์ œ์•ˆํ•˜์˜€๋‹ค. GradPIM์€ 8๋น„ํŠธ์˜ ๋‚ฎ์€ ์ •ํ™•๋„ ์—ฐ์‚ฐ์€ ์‹ ๊ฒฝ๋ง์ฒ˜๋ฆฌ์œ ๋‹›์— ๋‚จ๊ธฐ๊ณ , ๋†’์€ ์ •ํ™•๋„๋ฅผ ๊ฐ€์ง€๋Š” ๋ฐ์ดํ„ฐ๋ฅผ ํ™œ์šฉํ•˜๋Š” ์—ฐ์‚ฐ์€ (ํŒŒ๋ผ๋ฏธํ„ฐ ๊ฐฑ์‹ ) ๋ฉ”๋ชจ๋ฆฌ ๋‚ด๋ถ€์— ๋‘ ์œผ๋กœ์จ ์‹ ๊ฒฝ๋ง์ฒ˜๋ฆฌ์œ ๋‹›๊ณผ ๋ฉ”๋ชจ๋ฆฌ๊ฐ„์˜ ๋ฐ์ดํ„ฐํ†ต์‹ ์˜ ์–‘์„ ์ค„์—ฌ, ๋†’์€ ์—ฐ์‚ฐํšจ์œจ๊ณผ ์ „๋ ฅํšจ์œจ์„ ๋‹ฌ์„ฑํ•˜์˜€๋‹ค. ๋˜ํ•œ, GradPIM์€ bank-group ์ˆ˜์ค€์˜ ๋ณ‘๋ ฌํ™”๋ฅผ ์ด๋ฃจ์–ด ๋‚ด ๋†’์€ ๋‚ด๋ถ€ ๋Œ€์—ญํญ์„ ํ™œ์šฉํ•จ์œผ๋กœ์จ ๋ฉ”๋ชจ๋ฆฌ ๋Œ€์—ญํญ์„ ํฌ๊ฒŒ ํ™•์žฅ์‹œํ‚ฌ ์ˆ˜ ์žˆ๊ฒŒ ๋˜์—ˆ๋‹ค. ๋˜ํ•œ ์ด๋Ÿฌํ•œ ๋ฉ”๋ชจ๋ฆฌ ๊ตฌ์กฐ์˜ ๋ณ€๊ฒฝ์ด ์ตœ์†Œํ™”๋˜์—ˆ๊ธฐ ๋•Œ๋ฌธ์— ์ถ”๊ฐ€์ ์ธ ํ•˜๋“œ์›จ์–ด ๋น„์šฉ๋„ ์ตœ์†Œํ™”๋˜์—ˆ๋‹ค. ์‹คํ—˜ ๊ฒฐ๊ณผ๋ฅผ ํ†ตํ•ด GradPIM์ด ์ตœ์†Œํ•œ์˜ DRAM ํ”„๋กœํ† ์ฝœ ๋ณ€ํ™”์™€ DRAM์นฉ ๋‚ด์˜ ๊ณต๊ฐ„์‚ฌ์šฉ์„ ํ†ตํ•ด ์‹ฌ์ธต์‹ ๊ฒฝ๋ง ํ•™์Šต๊ณผ์ • ์ค‘ ํŒŒ๋ผ๋ฏธํ„ฐ ๊ฐฑ์‹ ์— ํ•„์š”ํ•œ ์‹œ๊ฐ„์„ 40%๋งŒํผ ํ–ฅ์ƒ์‹œ์ผฐ์Œ์„ ๋ณด์˜€๋‹ค.Chapter I: Dynamic Computation Approximation for Aging Compensation 1 1.1 Introduction 1 1.1.1 Chip Reliability 1 1.1.2 Reliability Guardband 2 1.1.3 Approximate Computing in Logic Circuits 2 1.1.4 Computation approximation for Aging Compensation 3 1.1.5 Motivational Case Study 4 1.2 Previous Work 5 1.2.1 Aging-induced Delay 5 1.2.2 Delay-Configurable Circuits 6 1.3 Proposed System 8 1.3.1 Overview of the Proposed System 8 1.3.2 Proposed Adder 9 1.3.3 Proposed Multiplier 11 1.3.4 Proposed Monitoring Circuit 16 1.3.5 Aging Compensation Scheme 19 1.4 Design Methodology 20 1.5 Evaluation 24 1.5.1 Experimental setup 24 1.5.2 RTL component level Adder/Multiplier 27 1.5.3 RTL component level Monitoring circuit 30 1.5.4 System level 31 1.6 Summary 38 Chapter II: Energy-Efficient Neural Network by Combining Approximate Neuron Models 40 2.1 Introduction 40 2.1.1 Deep Neural Network (DNN) 40 2.1.2 Low-power designs for DNN 41 2.1.3 Stochastic-Computing Deep Neural Network 41 2.1.4 Spiking Deep Neural Network 43 2.2 Hybrid of Stochastic and Spiking DNNs 44 2.2.1 Stochastic-Computing vs Spiking Deep Neural Network 44 2.2.2 Combining Spiking Layers and Stochastic Layers 46 2.2.3 Encoding Mismatch 47 2.3 Evaluation 49 2.3.1 Latency and Test Error 49 2.3.2 Energy Efficiency 51 2.4 Summary 54 Chapter III: GradPIM: In-memory Gradient Descent in Mixed-Precision DNN Training 55 3.1 Introduction 55 3.1.1 Neural Processing Unit 55 3.1.2 Mixed-precision Training 56 3.1.3 Mixed-precision Training with In-memory Gradient Descent 57 3.1.4 DNN Parameter Update Algorithms 59 3.1.5 Modern DRAM Architecture 61 3.1.6 Motivation 63 3.2 Previous Work 65 3.2.1 Processing-In-Memory 65 3.2.2 Co-design Neural Processing Unit and Processing-In-Memory 66 3.2.3 Low-precision Computation in NPU 67 3.3 GradPIM 68 3.3.1 GradPIM Architecture 68 3.3.2 GradPIM Operations 69 3.3.3 Timing Considerations 70 3.3.4 Update Phase Procedure 73 3.3.5 Commanding GradPIM 75 3.4 NPU Co-design with GradPIM 76 3.4.1 NPU Architecture 76 3.4.2 Data Placement 79 3.5 Evaluation 82 3.5.1 Evaluation Methodology 82 3.5.2 Experimental Results 83 3.5.3 Sensitivity Analysis 88 3.5.4 Layer Characterizations 90 3.5.5 Distributed Data Parallelism 90 3.6 Summary 92 3.6.1 Discussion 92 Bibliography 113 ์š”์•ฝ 114Docto

    CMOS N-Dimensional M-Level Hysteresis Circuits and Possible Applications

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    Hysteresis is a natural phenomenon existing in many systems. Binary hysteresis is the simplest yet important model to study electronically generated hysteresis. Binary hysteresis circuits, the Schmitt trigger being an example, are widely used in reducing noise sensitivity, designing oscillators, generating chaotic signals, etc. A new concept, n-dimensional m-level multi-cell hysteresis is presented. A group of CMOS binary hysteresis circuits with full control which operate in all four quadrants is introduced. CMOS circuits, that give various one-dimensional multi-level hysteresis, in both current mode and voltage mode, are presented. Various combinations of adding forward and reverse binary hysteresis are demonstrated. CMOS circuits, in both current mode and voltage mode, that give two-dimensional multi-level multicell hysteresis, are designed. Further discussion is given on how to extend the results to more dimensions. Two-dimensional hysteresis is used to generate chaotic signals. A couple of areas where multi-cell hysteresis can be useful are suggested

    Energy-Efficient Neural Network Hardware Design and Circuit Techniques to Enhance Hardware Security

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    University of Minnesota Ph.D. dissertation. May 2019. Major: Electrical Engineering. Advisor: Chris Kim. 1 computer file (PDF); ix, 108 pages.Artificial intelligence (AI) algorithms and hardware are being developed at a rapid pace for emerging applications such as self-driving cars, speech/image/video recognition, deep learning, etc. Todayโ€™s AI tasks are mostly performed at remote datacenters, while in the future, more AI workloads are expected to run on edge devices. To fulfill this goal, innovative design techniques are needed to improve energy-efficiency, form factor, and as well as the security of AI chips. In this dissertation, two topics are focused on to address these challenges: building energy-efficient AI chips based on various neural network architectures, and designing โ€œchip fingerprintโ€ circuits as well as counterfeit chip sensors to improve hardware security. First of all, in order to deploy AI tasks on edge devices, we come up with various energy and area efficient computing platforms. One is a novel time-domain computing scheme for fully connected multi-layer perceptron (MLP) neural network and the other is an efficient binarized architecture for long short-term memory (LSTM) neural network. Secondly, to enhance the hardware security and ensure secure data communication between edge devices, we need to make sure the authenticity of the chip. Physical Unclonable Function (PUF) is a circuit primitive that can serve as a chip โ€œfingerprintโ€ by generating a unique ID for each chip. Another source of security concerns comes from the counterfeit ICs, and recycled and remarked ICs account for more than 80% of the counterfeit electronics. To effectively detect those counterfeit chips that have been physically compromised, we came up with a passive IC tamper sensor. This proposed sensor is demonstrated to be able to efficiently and reliably detect suspicious activities such as high temperature cycling, ambient humidity rise, and increased dust particles in the chip cavity

    The 1992 4th NASA SERC Symposium on VLSI Design

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    Papers from the fourth annual NASA Symposium on VLSI Design, co-sponsored by the IEEE, are presented. Each year this symposium is organized by the NASA Space Engineering Research Center (SERC) at the University of Idaho and is held in conjunction with a quarterly meeting of the NASA Data System Technology Working Group (DSTWG). One task of the DSTWG is to develop new electronic technologies that will meet next generation electronic data system needs. The symposium provides insights into developments in VLSI and digital systems which can be used to increase data systems performance. The NASA SERC is proud to offer, at its fourth symposium on VLSI design, presentations by an outstanding set of individuals from national laboratories, the electronics industry, and universities. These speakers share insights into next generation advances that will serve as a basis for future VLSI design

    Cutting Edge Nanotechnology

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    The main purpose of this book is to describe important issues in various types of devices ranging from conventional transistors (opening chapters of the book) to molecular electronic devices whose fabrication and operation is discussed in the last few chapters of the book. As such, this book can serve as a guide for identifications of important areas of research in micro, nano and molecular electronics. We deeply acknowledge valuable contributions that each of the authors made in writing these excellent chapters

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    CMOS technology scaling, the process of shrinking transistor dimensions based on Moore's law, has been the thrust behind increasingly powerful integrated circuits for over half a century. As dimensions are scaled to few tens of nanometers, process and environmental variations can significantly alter transistor characteristics, thus degrading reliability and reducing performance gains in CMOS designs with technology scaling. Although design solutions proposed in recent years to improve reliability of CMOS designs are power-efficient, the performance penalty associated with these solutions further reduces performance gains with technology scaling, and hence these solutions are not well-suited for high-performance designs. This thesis proposes approximate logic circuits as a new logic synthesis paradigm for reliable, high-performance computing systems. Given a specification, an approximate logic circuit is functionally equivalent to the given specification for a "significant" portion of the input space, but has a smaller delay and power as compared to a circuit implementation of the original specification. This contributions of this thesis include (i) a general theory of approximation and efficient algorithms for automated synthesis of approximations for unrestricted random logic circuits, (ii) logic design solutions based on approximate circuits to improve reliability of designs with negligible performance penalty, and (iii) efficient decomposition algorithms based on approxiiii mate circuits to improve performance of designs during logic synthesis. This thesis concludes with other potential applications of approximate circuits and identifies. open problems in logic decomposition and approximate circuit synthesis
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