A lot of research has been lately dedicated to develop machine learning and statistical signal processingmethods exploiting graph representations to solve inference and estimation problems. This is particularly relev...
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Spectral computed tomography (spectral CT) is an emerging imaging technology that is capable of distinguishing material properties. However, the difficulty of decomposition process is intensified by the nonlinearity o...
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Given the recent interest in the role of deep generative models (DGM) in medical imaging pipelines, it is imperative to evaluate the capacity of such models to generate medically accurate images. Popular methods of ev...
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ISBN:
(数字)9781510649408
ISBN:
(纸本)9781510649408;9781510649392
Given the recent interest in the role of deep generative models (DGM) in medical imaging pipelines, it is imperative to evaluate the capacity of such models to generate medically accurate images. Popular methods of evaluation of natural images generated using generative adversarial networks (GANs), a type of DGM, are often applied to medical data. Such methods are insufficient to evaluate anatomical realism, representations of which include high-order spatial information. To our knowledge, no test exists for the faithful replication of spatial statistics beyond the second-order. In this work, purposefully designed stochastic object models (SOMs) are proposed to encode predetermined rules governing the prevalence of features within single images, thus encoding known high-order spatial information within each realization. These SOMs are independent of the network architecture being tested and can also be applied to any new architecture that may be proposed. Two popular GANs are trained on these SOM datasets and the generated images are tested for the encoded statistics. It is observed that although ensemble statistics might be well replicated, this is not necessarily true for realization i.e., per-image statistics. Thus, GAN-generated images might not be ready for clinical use. With the proposed SOMs, the rate of image errors and the rate of feature malformation can be quantified for any architecture, while providing one measure of GAN utility in a diagnostic scenario.
Recently there is a large amount of work devoted to the study of Markov chain stochastic gradient methods (MC-SGMs) which mainly focus on their convergence analysis for solving minimization problems. In this paper, we...
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ISBN:
(纸本)9781713871088
Recently there is a large amount of work devoted to the study of Markov chain stochastic gradient methods (MC-SGMs) which mainly focus on their convergence analysis for solving minimization problems. In this paper, we provide a comprehensive generalization analysis of MC-SGMs for both minimization and minimax problems through the lens of algorithmic stability in the framework of statistical learning theory. For empirical risk minimization (ERM) problems, we establish the optimal excess population risk bounds for both smooth and non-smooth cases by introducing on-average argument stability. For minimax problems, we develop a quantitative connection between on-average argument stability and generalization error which extends the existing results for uniform stability [38]. We further develop the first nearly optimal convergence rates for convex-concave problems both in expectation and with high probability, which, combined with our stability results, show that the optimal generalization bounds can be attained for both smooth and non-smooth cases. To the best of our knowledge, this is the first generalization analysis of SGMs when the gradients are sampled from a Markov process.
Deaths due to various types of cancers have increased to a greater extent in decades. Computer-aided diagnosis is the fast and efficient way used in the medical field all around the globe for early diagnosis and treat...
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The sustainable development of urban building communities in China needs the support of new concepts and integrated technologies such as virtual geographic environment. Based on the related theories and technical meth...
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Vector quantization (VQ) methods have been used in a wide range of applications for speech, image, and video data. While classic VQ methods often use expectation maximization, in this paper, we investigate the use of ...
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Vector quantization (VQ) methods have been used in a wide range of applications for speech, image, and video data. While classic VQ methods often use expectation maximization, in this paper, we investigate the use of stochastic optimization employing our recently proposed noise substitution in vector quantization technique. We consider three variants of VQ including additive VQ, residual VQ, and product VQ, and evaluate their quality, complexity and bitrate in speech coding, image compression, approximate nearest neighbor search, and a selection of toy examples. Our experimental results demonstrate the trade-offs in accuracy, complexity, and bitrate such that using our open source implementations and complexity calculator, the best vector quantization method can be chosen for a particular problem.
stochastic computing (SC) performance is signifi-cantly impacted by the length of the bitstream, which directly affects both computation time and throughput. Researchers have proposed early termination methods to redu...
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ISBN:
(数字)9798350348798
ISBN:
(纸本)9798350348804
stochastic computing (SC) performance is signifi-cantly impacted by the length of the bitstream, which directly affects both computation time and throughput. Researchers have proposed early termination methods to reduce bitstream length, relying on stochastic bitstream patterns generated by stochastic number generators (SNGs). In this study, we investigate early termination specifically for median filter imageprocessing ap-plications. We analyze several SNGs, including those based on ‘randperm,’ linear feedback shift registers (LFSR), Streaming Accurate (SA), and counter-based approaches. These SNGs are evaluated using different image inputs. Our experimental results demonstrate that early termination can be safely employed. Notably, the use of counter-based SNGs naturally facilitates early termination in median filter applications. By leveraging this approach, we achieve bitstream length reduction without sacrificing accuracy. The extent of reduction varies based on the specific image inputs. In summary, our findings highlight the effectiveness of early termination strategies, particularly when utilizing counter-based SNGs for median filter computations.
The problem of synthesis of image encoding methods based on the data of the images themselves is considered. The proposed approach is based on the previously developed special representation of images by samples of co...
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As an important part of marine ecosystem, luminescent zooplankton is of great significance to the study of marine ecology and carbon cycle. The statistics of the number and size of luminous zooplankton is an important...
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