394 research outputs found

    Online Bearing Remaining Useful Life Prediction Based on a Novel Degradation Indicator and Convolutional Neural Networks

    Full text link
    In industrial applications, nearly half the failures of motors are caused by the degradation of rolling element bearings (REBs). Therefore, accurately estimating the remaining useful life (RUL) for REBs are of crucial importance to ensure the reliability and safety of mechanical systems. To tackle this challenge, model-based approaches are often limited by the complexity of mathematical modeling. Conventional data-driven approaches, on the other hand, require massive efforts to extract the degradation features and construct health index. In this paper, a novel online data-driven framework is proposed to exploit the adoption of deep convolutional neural networks (CNN) in predicting the RUL of bearings. More concretely, the raw vibrations of training bearings are first processed using the Hilbert-Huang transform (HHT) and a novel nonlinear degradation indicator is constructed as the label for learning. The CNN is then employed to identify the hidden pattern between the extracted degradation indicator and the vibration of training bearings, which makes it possible to estimate the degradation of the test bearings automatically. Finally, testing bearings' RULs are predicted by using a ฯต\epsilon-support vector regression model. The superior performance of the proposed RUL estimation framework, compared with the state-of-the-art approaches, is demonstrated through the experimental results. The generality of the proposed CNN model is also validated by transferring to bearings undergoing different operating conditions

    Sparse Linear Models applied to Power Quality Disturbance Classification

    Full text link
    Power quality (PQ) analysis describes the non-pure electric signals that are usually present in electric power systems. The automatic recognition of PQ disturbances can be seen as a pattern recognition problem, in which different types of waveform distortion are differentiated based on their features. Similar to other quasi-stationary signals, PQ disturbances can be decomposed into time-frequency dependent components by using time-frequency or time-scale transforms, also known as dictionaries. These dictionaries are used in the feature extraction step in pattern recognition systems. Short-time Fourier, Wavelets and Stockwell transforms are some of the most common dictionaries used in the PQ community, aiming to achieve a better signal representation. To the best of our knowledge, previous works about PQ disturbance classification have been restricted to the use of one among several available dictionaries. Taking advantage of the theory behind sparse linear models (SLM), we introduce a sparse method for PQ representation, starting from overcomplete dictionaries. In particular, we apply Group Lasso. We employ different types of time-frequency (or time-scale) dictionaries to characterize the PQ disturbances, and evaluate their performance under different pattern recognition algorithms. We show that the SLM reduce the PQ classification complexity promoting sparse basis selection, and improving the classification accuracy

    Recognition and classification of power quality disturbances by DWT-MRA and SVM classifier

    Get PDF
    Electrical power system is a large and complex network, where power quality disturbances (PQDs) must be monitored, analyzed and mitigated continuously in order to preserve and to re-establish the normal power supply without even slight interruption. Practically huge disturbance data is difficult to manage and requires the higher level of accuracy and time for the analysis and monitoring. Thus automatic and intelligent algorithm based methodologies are in practice for the detection, recognition and classification of power quality events. This approach may help to take preventive measures against abnormal operations and moreover, sudden fluctuations in supply can be handled accordingly. Disturbance types, causes, proper and appropriate extraction of features in single and multiple disturbances, classification model type and classifier performance, are still the main concerns and challenges. In this paper, an attempt has been made to present a different approach for recognition of PQDs with the synthetic model based generated disturbances, which are frequent in power system operations, and the proposed unique feature vector. Disturbances are generated in Matlab workspace environment whereas distinctive features of events are extracted through discrete wavelet transform (DWT) technique. Machine learning based Support vector machine classifier tool is implemented for the classification and recognition of disturbances. In relation to the results, the proposed methodology recognizes the PQDs with high accuracy, sensitivity and specificity. This study illustrates that the proposed approach is valid, efficient and applicable

    ๋ฏผ๊ฐํ•œ ์ •๋ณด๋ฅผ ๋ณดํ˜ธํ•  ์ˆ˜ ์žˆ๋Š” ํ”„๋ผ์ด๋ฒ„์‹œ ๋ณด์กด ๊ธฐ๊ณ„ํ•™์Šต ๊ธฐ์ˆ  ๊ฐœ๋ฐœ

    Get PDF
    ํ•™์œ„๋…ผ๋ฌธ(๋ฐ•์‚ฌ) -- ์„œ์šธ๋Œ€ํ•™๊ต๋Œ€ํ•™์› : ๊ณต๊ณผ๋Œ€ํ•™ ์‚ฐ์—…๊ณตํ•™๊ณผ, 2022. 8. ์ด์žฌ์šฑ.์ตœ๊ทผ ์ธ๊ณต์ง€๋Šฅ์˜ ์„ฑ๊ณต์—๋Š” ์—ฌ๋Ÿฌ ๊ฐ€์ง€ ์š”์ธ์ด ์žˆ์œผ๋‚˜, ์ƒˆ๋กœ์šด ์•Œ๊ณ ๋ฆฌ์ฆ˜์˜ ๊ฐœ๋ฐœ๊ณผ ์ •์ œ๋œ ๋ฐ์ดํ„ฐ ์–‘์˜ ๊ธฐํ•˜๊ธ‰์ˆ˜์ ์ธ ์ฆ๊ฐ€๋กœ ์ธํ•œ ์˜ํ–ฅ์ด ํฌ๋‹ค. ๋”ฐ๋ผ์„œ ๊ธฐ๊ณ„ํ•™์Šต ๋ชจ๋ธ๊ณผ ๋ฐ์ดํ„ฐ๋Š” ์‹ค์žฌ์  ๊ฐ€์น˜๋ฅผ ๊ฐ€์ง€๊ฒŒ ๋˜๋ฉฐ, ํ˜„์‹ค ์„ธ๊ณ„์—์„œ ๊ฐœ์ธ ๋˜๋Š” ๊ธฐ์—…์€ ํ•™์Šต๋œ ๋ชจ๋ธ ๋˜๋Š” ํ•™์Šต์— ์‚ฌ์šฉํ•  ๋ฐ์ดํ„ฐ๋ฅผ ์ œ๊ณตํ•จ์œผ๋กœ์จ ์ด์ต์„ ์–ป์„ ์ˆ˜ ์žˆ๋‹ค. ๊ทธ๋Ÿฌ๋‚˜, ๋ฐ์ดํ„ฐ ๋˜๋Š” ๋ชจ๋ธ์˜ ๊ณต์œ ๋Š” ๊ฐœ์ธ์˜ ๋ฏผ๊ฐ ์ •๋ณด๋ฅผ ์œ ์ถœํ•จ์œผ๋กœ์จ ํ”„๋ผ์ด๋ฒ„์‹œ์˜ ์นจํ•ด๋กœ ์ด์–ด์งˆ ์ˆ˜ ์žˆ๋‹ค๋Š” ์‚ฌ์‹ค์ด ๋ฐํ˜€์ง€๊ณ  ์žˆ๋‹ค. ๋ณธ ๋…ผ๋ฌธ์˜ ๋ชฉํ‘œ๋Š” ๋ฏผ๊ฐ ์ •๋ณด๋ฅผ ๋ณดํ˜ธํ•  ์ˆ˜ ์žˆ๋Š” ํ”„๋ผ์ด๋ฒ„์‹œ ๋ณด์กด ๊ธฐ๊ณ„ํ•™์Šต ๋ฐฉ๋ฒ•๋ก ์„ ๊ฐœ๋ฐœํ•˜๋Š” ๊ฒƒ์ด๋‹ค. ์ด๋ฅผ ์œ„ํ•ด ์ตœ๊ทผ ํ™œ๋ฐœํžˆ ์—ฐ๊ตฌ๋˜๊ณ  ์žˆ๋Š” ๋‘ ๊ฐ€์ง€ ํ”„๋ผ์ด๋ฒ„์‹œ ๋ณด์กด ๊ธฐ์ˆ , ์ฆ‰ ๋™ํ˜• ์•”ํ˜ธ์™€ ์ฐจ๋ถ„ ํ”„๋ผ์ด๋ฒ„์‹œ๋ฅผ ์‚ฌ์šฉํ•œ๋‹ค. ๋จผ์ €, ๋™ํ˜• ์•”ํ˜ธ๋Š” ์•”ํ˜ธํ™”๋œ ๋ฐ์ดํ„ฐ์— ๋Œ€ํ•ด ๊ธฐ๊ณ„ํ•™์Šต ์•Œ๊ณ ๋ฆฌ์ฆ˜์„ ์ ์šฉ ๊ฐ€๋Šฅํ•˜๊ฒŒ ํ•จ์œผ๋กœ์จ ๋ฐ์ดํ„ฐ์˜ ํ”„๋ผ์ด๋ฒ„์‹œ๋ฅผ ๋ณดํ˜ธํ•  ์ˆ˜ ์žˆ๋‹ค. ๊ทธ๋Ÿฌ๋‚˜ ๋™ํ˜• ์•”ํ˜ธ๋ฅผ ํ™œ์šฉํ•œ ์—ฐ์‚ฐ์€ ๊ธฐ์กด์˜ ์—ฐ์‚ฐ์— ๋น„ํ•ด ๋งค์šฐ ํฐ ์—ฐ์‚ฐ ์‹œ๊ฐ„์„ ์š”๊ตฌํ•˜๋ฏ€๋กœ ํšจ์œจ์ ์ธ ์•Œ๊ณ ๋ฆฌ์ฆ˜์„ ๊ตฌ์„ฑํ•˜๋Š” ๊ฒƒ์ด ์ค‘์š”ํ•˜๋‹ค. ํšจ์œจ์ ์ธ ์—ฐ์‚ฐ์„ ์œ„ํ•ด ์šฐ๋ฆฌ๋Š” ๋‘ ๊ฐ€์ง€ ์ ‘๊ทผ๋ฒ•์„ ์‚ฌ์šฉํ•œ๋‹ค. ์ฒซ ๋ฒˆ์งธ๋Š” ํ•™์Šต ๋‹จ๊ณ„์—์„œ์˜ ์—ฐ์‚ฐ๋Ÿ‰์„ ์ค„์ด๋Š” ๊ฒƒ์ด๋‹ค. ํ•™์Šต ๋‹จ๊ณ„์—์„œ๋ถ€ํ„ฐ ๋™ํ˜• ์•”ํ˜ธ๋ฅผ ์ ์šฉํ•˜๋ฉด ํ•™์Šต ๋ฐ์ดํ„ฐ์˜ ํ”„๋ผ์ด๋ฒ„์‹œ๋ฅผ ํ•จ๊ป˜ ๋ณดํ˜ธํ•  ์ˆ˜ ์žˆ์œผ๋ฏ€๋กœ ์ถ”๋ก  ๋‹จ๊ณ„์—์„œ๋งŒ ๋™ํ˜• ์•”ํ˜ธ๋ฅผ ์ ์šฉํ•˜๋Š” ๊ฒƒ์— ๋น„ํ•ด ํ”„๋ผ์ด๋ฒ„์‹œ์˜ ๋ฒ”์œ„๊ฐ€ ๋„“์–ด์ง€์ง€๋งŒ, ๊ทธ๋งŒํผ ์—ฐ์‚ฐ๋Ÿ‰์ด ๋Š˜์–ด๋‚œ๋‹ค. ๋ณธ ๋…ผ๋ฌธ์—์„œ๋Š” ์ผ๋ถ€ ๊ฐ€์žฅ ์ค‘์š”ํ•œ ์ •๋ณด๋งŒ์„ ์•”ํ˜ธํ™”ํ•จ์œผ๋กœ์จ ํ•™์Šต ๋‹จ๊ณ„๋ฅผ ํšจ์œจ์ ์œผ๋กœ ํ•˜๋Š” ๋ฐฉ๋ฒ•๋ก ์„ ์ œ์•ˆํ•œ๋‹ค. ๊ตฌ์ฒด์ ์œผ๋กœ, ์ผ๋ถ€ ๋ฏผ๊ฐ ๋ณ€์ˆ˜๊ฐ€ ์•”ํ˜ธํ™”๋˜์–ด ์žˆ์„ ๋•Œ ์—ฐ์‚ฐ๋Ÿ‰์„ ๋งค์šฐ ์ค„์ผ ์ˆ˜ ์žˆ๋Š” ๋ฆฟ์ง€ ํšŒ๊ท€ ์•Œ๊ณ ๋ฆฌ์ฆ˜์„ ๊ฐœ๋ฐœํ•œ๋‹ค. ๋˜ํ•œ ๊ฐœ๋ฐœ๋œ ์•Œ๊ณ ๋ฆฌ์ฆ˜์„ ํ™•์žฅ์‹œ์ผœ ๋™ํ˜• ์•”ํ˜ธ ์นœํ™”์ ์ด์ง€ ์•Š์€ ํŒŒ๋ผ๋ฏธํ„ฐ ํƒ์ƒ‰ ๊ณผ์ •์„ ์ตœ๋Œ€ํ•œ ์ œ๊ฑฐํ•  ์ˆ˜ ์žˆ๋Š” ์ƒˆ๋กœ์šด ๋กœ์ง€์Šคํ‹ฑ ํšŒ๊ท€ ์•Œ๊ณ ๋ฆฌ์ฆ˜์„ ํ•จ๊ป˜ ์ œ์•ˆํ•œ๋‹ค. ํšจ์œจ์ ์ธ ์—ฐ์‚ฐ์„ ์œ„ํ•œ ๋‘ ๋ฒˆ์งธ ์ ‘๊ทผ๋ฒ•์€ ๋™ํ˜• ์•”ํ˜ธ๋ฅผ ๊ธฐ๊ณ„ํ•™์Šต์˜ ์ถ”๋ก  ๋‹จ๊ณ„์—์„œ๋งŒ ์‚ฌ์šฉํ•˜๋Š” ๊ฒƒ์ด๋‹ค. ์ด๋ฅผ ํ†ตํ•ด ์‹œํ—˜ ๋ฐ์ดํ„ฐ์˜ ์ง์ ‘์ ์ธ ๋…ธ์ถœ์„ ๋ง‰์„ ์ˆ˜ ์žˆ๋‹ค. ๋ณธ ๋…ผ๋ฌธ์—์„œ๋Š” ์„œํฌํŠธ ๋ฒกํ„ฐ ๊ตฐ์ง‘ํ™” ๋ชจ๋ธ์— ๋Œ€ํ•œ ๋™ํ˜• ์•”ํ˜ธ ์นœํ™”์  ์ถ”๋ก  ๋ฐฉ๋ฒ•์„ ์ œ์•ˆํ•œ๋‹ค. ๋™ํ˜• ์•”ํ˜ธ๋Š” ์—ฌ๋Ÿฌ ๊ฐ€์ง€ ์œ„ํ˜‘์— ๋Œ€ํ•ด์„œ ๋ฐ์ดํ„ฐ์™€ ๋ชจ๋ธ ์ •๋ณด๋ฅผ ๋ณดํ˜ธํ•  ์ˆ˜ ์žˆ์œผ๋‚˜, ํ•™์Šต๋œ ๋ชจ๋ธ์„ ํ†ตํ•ด ์ƒˆ๋กœ์šด ๋ฐ์ดํ„ฐ์— ๋Œ€ํ•œ ์ถ”๋ก  ์„œ๋น„์Šค๋ฅผ ์ œ๊ณตํ•  ๋•Œ ์ถ”๋ก  ๊ฒฐ๊ณผ๋กœ๋ถ€ํ„ฐ ๋ชจ๋ธ๊ณผ ํ•™์Šต ๋ฐ์ดํ„ฐ๋ฅผ ๋ณดํ˜ธํ•˜์ง€ ๋ชปํ•œ๋‹ค. ์—ฐ๊ตฌ๋ฅผ ํ†ตํ•ด ๊ณต๊ฒฉ์ž๊ฐ€ ์ž์‹ ์ด ๊ฐ€์ง„ ๋ฐ์ดํ„ฐ์™€ ๊ทธ ๋ฐ์ดํ„ฐ์— ๋Œ€ํ•œ ์ถ”๋ก  ๊ฒฐ๊ณผ๋งŒ์„ ์ด์šฉํ•˜์—ฌ ์ด์šฉํ•˜์—ฌ ๋ชจ๋ธ๊ณผ ํ•™์Šต ๋ฐ์ดํ„ฐ์— ๋Œ€ํ•œ ์ •๋ณด๋ฅผ ์ถ”์ถœํ•  ์ˆ˜ ์žˆ์Œ์ด ๋ฐํ˜€์ง€๊ณ  ์žˆ๋‹ค. ์˜ˆ๋ฅผ ๋“ค์–ด, ๊ณต๊ฒฉ์ž๋Š” ํŠน์ • ๋ฐ์ดํ„ฐ๊ฐ€ ํ•™์Šต ๋ฐ์ดํ„ฐ์— ํฌํ•จ๋˜์–ด ์žˆ๋Š”์ง€ ์•„๋‹Œ์ง€๋ฅผ ์ถ”๋ก ํ•  ์ˆ˜ ์žˆ๋‹ค. ์ฐจ๋ถ„ ํ”„๋ผ์ด๋ฒ„์‹œ๋Š” ํ•™์Šต๋œ ๋ชจ๋ธ์— ๋Œ€ํ•œ ํŠน์ • ๋ฐ์ดํ„ฐ ์ƒ˜ํ”Œ์˜ ์˜ํ–ฅ์„ ์ค„์ž„์œผ๋กœ์จ ์ด๋Ÿฌํ•œ ๊ณต๊ฒฉ์— ๋Œ€ํ•œ ๋ฐฉ์–ด๋ฅผ ๋ณด์žฅํ•˜๋Š” ํ”„๋ผ์ด๋ฒ„์‹œ ๊ธฐ์ˆ ์ด๋‹ค. ์ฐจ๋ถ„ ํ”„๋ผ์ด๋ฒ„์‹œ๋Š” ํ”„๋ผ์ด๋ฒ„์‹œ์˜ ์ˆ˜์ค€์„ ์ •๋Ÿ‰์ ์œผ๋กœ ํ‘œํ˜„ํ•จ์œผ๋กœ์จ ์›ํ•˜๋Š” ๋งŒํผ์˜ ํ”„๋ผ์ด๋ฒ„์‹œ๋ฅผ ์ถฉ์กฑ์‹œํ‚ฌ ์ˆ˜ ์žˆ์ง€๋งŒ, ํ”„๋ผ์ด๋ฒ„์‹œ๋ฅผ ์ถฉ์กฑ์‹œํ‚ค๊ธฐ ์œ„ํ•ด์„œ๋Š” ์•Œ๊ณ ๋ฆฌ์ฆ˜์— ๊ทธ๋งŒํผ์˜ ๋ฌด์ž‘์œ„์„ฑ์„ ๋”ํ•ด์•ผ ํ•˜๋ฏ€๋กœ ๋ชจ๋ธ์˜ ์„ฑ๋Šฅ์„ ๋–จ์–ด๋œจ๋ฆฐ๋‹ค. ๋”ฐ๋ผ์„œ, ๋ณธ๋ฌธ์—์„œ๋Š” ๋ชจ์Šค ์ด๋ก ์„ ์ด์šฉํ•˜์—ฌ ์ฐจ๋ถ„ ํ”„๋ผ์ด๋ฒ„์‹œ ๊ตฐ์ง‘ํ™” ๋ฐฉ๋ฒ•๋ก ์˜ ํ”„๋ผ์ด๋ฒ„์‹œ๋ฅผ ์œ ์ง€ํ•˜๋ฉด์„œ๋„ ๊ทธ ์„ฑ๋Šฅ์„ ๋Œ์–ด์˜ฌ๋ฆฌ๋Š” ์ƒˆ๋กœ์šด ๋ฐฉ๋ฒ•๋ก ์„ ์ œ์•ˆํ•œ๋‹ค. ๋ณธ ๋…ผ๋ฌธ์—์„œ ๊ฐœ๋ฐœํ•˜๋Š” ํ”„๋ผ์ด๋ฒ„์‹œ ๋ณด์กด ๊ธฐ๊ณ„ํ•™์Šต ๋ฐฉ๋ฒ•๋ก ์€ ๊ฐ๊ธฐ ๋‹ค๋ฅธ ์ˆ˜์ค€์—์„œ ํ”„๋ผ์ด๋ฒ„์‹œ๋ฅผ ๋ณดํ˜ธํ•˜๋ฉฐ, ๋”ฐ๋ผ์„œ ์ƒํ˜ธ ๋ณด์™„์ ์ด๋‹ค. ์ œ์•ˆ๋œ ๋ฐฉ๋ฒ•๋ก ๋“ค์€ ํ•˜๋‚˜์˜ ํ†ตํ•ฉ ์‹œ์Šคํ…œ์„ ๊ตฌ์ถ•ํ•˜์—ฌ ๊ธฐ๊ณ„ํ•™์Šต์ด ๊ฐœ์ธ์˜ ๋ฏผ๊ฐ ์ •๋ณด๋กค ๋ณดํ˜ธํ•ด์•ผ ํ•˜๋Š” ์—ฌ๋Ÿฌ ๋ถ„์•ผ์—์„œ ๋”์šฑ ๋„๋ฆฌ ์‚ฌ์šฉ๋  ์ˆ˜ ์žˆ๋„๋ก ํ•˜๋Š” ๊ธฐ๋Œ€ ํšจ๊ณผ๋ฅผ ๊ฐ€์ง„๋‹ค.Recent development of artificial intelligence systems has been driven by various factors such as the development of new algorithms and the the explosive increase in the amount of available data. In the real-world scenarios, individuals or corporations benefit by providing data for training a machine learning model or the trained model. However, it has been revealed that sharing of data or the model can lead to invasion of personal privacy by leaking personal sensitive information. In this dissertation, we focus on developing privacy-preserving machine learning methods which can protect sensitive information. Homomorphic encryption can protect the privacy of data and the models because machine learning algorithms can be applied to encrypted data, but requires much larger computation time than conventional operations. For efficient computation, we take two approaches. The first is to reduce the amount of computation in the training phase. We present an efficient training algorithm by encrypting only few important information. In specific, we develop a ridge regression algorithm that greatly reduces the amount of computation when one or two sensitive variables are encrypted. Furthermore, we extend the method to apply it to classification problems by developing a new logistic regression algorithm that can maximally exclude searching of hyper-parameters that are not suitable for machine learning with homomorphic encryption. Another approach is to apply homomorphic encryption only when the trained model is used for inference, which prevents direct exposure of the test data and the model information. We propose a homomorphic-encryption-friendly algorithm for inference of support based clustering. Though homomorphic encryption can prevent various threats to data and the model information, it cannot defend against secondary attacks through inference APIs. It has been reported that an adversary can extract information about the training data only with his or her input and the corresponding output of the model. For instance, the adversary can determine whether specific data is included in the training data or not. Differential privacy is a mathematical concept which guarantees defense against those attacks by reducing the impact of specific data samples on the trained model. Differential privacy has the advantage of being able to quantitatively express the degree of privacy, but it reduces the utility of the model by adding randomness to the algorithm. Therefore, we propose a novel method which can improve the utility while maintaining the privacy of differentially private clustering algorithms by utilizing Morse theory. The privacy-preserving machine learning methods proposed in this paper can complement each other to prevent different levels of attacks. We expect that our methods can construct an integrated system and be applied to various domains where machine learning involves sensitive personal information.Chapter 1 Introduction 1 1.1 Motivation of the Dissertation 1 1.2 Aims of the Dissertation 7 1.3 Organization of the Dissertation 10 Chapter 2 Preliminaries 11 2.1 Homomorphic Encryption 11 2.2 Differential Privacy 14 Chapter 3 Efficient Homomorphic Encryption Framework for Ridge Regression 18 3.1 Problem Statement 18 3.2 Framework 22 3.3 Proposed Method 25 3.3.1 Regression with one Encrypted Sensitive Variable 25 3.3.2 Regression with two Encrypted Sensitive Variables 30 3.3.3 Adversarial Perturbation Against Attribute Inference Attack 35 3.3.4 Algorithm for Ridge Regression 36 3.3.5 Algorithm for Adversarial Perturbation 37 3.4 Experiments 40 3.4.1 Experimental Setting 40 3.4.2 Experimental Results 42 3.5 Chapter Summary 47 Chapter 4 Parameter-free Homomorphic-encryption-friendly Logistic Regression 53 4.1 Problem Statement 53 4.2 Proposed Method 56 4.2.1 Motivation 56 4.2.2 Framework 58 4.3 Theoretical Results 63 4.4 Experiments 68 4.4.1 Experimental Setting 68 4.4.2 Experimental Results 70 4.5 Chapter Summary 75 Chapter 5 Homomorphic-encryption-friendly Evaluation for Support Vector Clustering 76 5.1 Problem Statement 76 5.2 Background 78 5.2.1 CKKS scheme 78 5.2.2 SVC 80 5.3 Proposed Method 82 5.4 Experiments 86 5.4.1 Experimental Setting 86 5.4.2 Experimental Results 87 5.5 Chapter Summary 89 Chapter 6 Differentially Private Mixture of Gaussians Clustering with Morse Theory 95 6.1 Problem Statement 95 6.2 Background 98 6.2.1 Mixture of Gaussians 98 6.2.2 Morse Theory 99 6.2.3 Dynamical System Perspective 101 6.3 Proposed Method 104 6.3.1 Differentially private clustering 105 6.3.2 Transition equilibrium vectors and the weighted graph 108 6.3.3 Hierarchical merging of sub-clusters 111 6.4 Theoretical Results 112 6.5 Experiments 117 6.5.1 Experimental Setting 117 6.5.2 Experimental Results 119 6.6 Chapter Summary 122 Chapter 7 Conclusion 124 7.1 Conclusion 124 7.2 Future Direction 126 Bibliography 128 ๊ตญ๋ฌธ์ดˆ๋ก 154๋ฐ•

    Multilayer probability extreme learning machine for device-free localization

    Get PDF
    Device-free localization (DFL) is becoming one of the new techniques in wireless localization field, due to its advantage that the target to be localized does not need to attach any electronic device. One of the key issues of DFL is how to characterize the influence of the target on the wireless links, such that the targetโ€™s location can be accurately estimated by analyzing the changes of the signals of the links. Most of the existing related research works usually extract the useful information from the links through manual approaches, which are labor-intensive and time-consuming. Deep learning approaches have attempted to automatically extract the useful information from the links, but the training of the conventional deep learning approaches are time-consuming, because a large number of parameters need to be fine-tuned multiple times. Motivated by the fast learning speed and excellent generalization performance of extreme learning machine (ELM), which is an emerging training approach for generalized single hidden layer feedforward neural networks (SLFNs), this paper proposes a novel hierarchical ELM based on deep learning theory, named multilayer probability ELM (MP-ELM), for automatically extracting the useful information from the links, and implementing fast and accurate DFL. The proposed MP-ELM is stacked by ELM autoencoders, so it also keeps the very fast learning speed of ELM. In addition, considering the uncertainty and redundant links existing in DFL, MP-ELM outputs the probabilistic estimation of the targetโ€™s location instead of the deterministic output. The validity of the proposed MP-ELM-based DFL is evaluated both in the indoor and the outdoor environments, respectively. Experimental results demonstrate that the proposed MP-ELM can obtain better performance compared with classic ELM, multilayer ELM (ML-ELM), hierarchical ELM (H-ELM), deep belief network (DBN), and deep Boltzmann machine (DBM)
    • โ€ฆ
    corecore