IEEE Trans Pattern Anal Mach Intell
August 2024
Zeroth-order (a.k.a, derivative-free) methods are a class of effective optimization methods for solving complex machine learning problems, where gradients of the objective functions are not available or computationally prohibitive.
View Article and Find Full Text PDFIEEE Trans Pattern Anal Mach Intell
July 2023
In the paper, we study a class of useful minimax problems on Riemanian manifolds and propose a class of effective Riemanian gradient-based methods to solve these minimax problems. Specifically, we propose an effective Riemannian gradient descent ascent (RGDA) algorithm for the deterministic minimax optimization. Moreover, we prove that our RGDA has a sample complexity of O(κϵ) for finding an ϵ-stationary solution of the Geodesically-Nonconvex Strongly-Concave (GNSC) minimax problems, where κ denotes the condition number.
View Article and Find Full Text PDFSensors (Basel)
January 2023
Time series forecasting is a very vital research topic. The scale of time series in numerous industries has risen considerably in recent years as a result of the advancement of information technology. However, the existing algorithms pay little attention to generating large-scale time series.
View Article and Find Full Text PDFComput Math Methods Med
July 2022
Objectives: This study is aimed at obtaining information about the prevalence of nosocomial infections (NIs) and the use of antibiotics in hospitalized patients and providing relevant references for further understanding, preventing, and controlling NIs.
Methods: The medical records of adult patients admitted to a hospital in Shanghai from November to December 2021 were analyzed. The patients were divided into the NI group, community-acquired infection (CAI) group, and uninfected or healed group according to their infection status.
In the paper, we study a class of novel stochastic composition optimization problems over Riemannian manifold, which have been raised by multiple emerging machine learning applications such as distributionally robust learning in Riemannian manifold setting. To solve these composition problems, we propose an effective Riemannian compositional gradient (RCG) algorithm, which has a sample complexity of O(ϵ) for finding an ϵ-stationary point. To further reduce sample complexity, we propose an accelerated momentum-based Riemannian compositional gradient (M-RCG) algorithm.
View Article and Find Full Text PDFStochastic optimization methods have become a class of popular optimization tools in machine learning. Especially, stochastic gradient descent (SGD) has been widely used for machine learning problems, such as training neural networks, due to low per-iteration computational complexity. In fact, the Newton or quasi-newton (QN) methods leveraging the second-order information are able to achieve a better solution than the first-order methods.
View Article and Find Full Text PDFNon-islet cell tumor hypoglycemia (NICTH) is an extremely uncommon and serious complication of hepatocellular carcinoma (HCC). Here, we reported a case of a 47-year-old male patient with moderate to poorly differentiated HCC complicated by hypoglycemia that worsened after transarterial chemoembolization (TACE). The patient was admitted into The First Affiliated Hospital of Naval Medical University due to fatigue, nausea, dizziness and passage of tea colored urine.
View Article and Find Full Text PDFIEEE Trans Neural Netw Learn Syst
July 2018
In this paper, we propose a joint conditional graphical Lasso to learn multiple conditional Gaussian graphical models, also known as Gaussian conditional random fields, with some similar structures. Our model builds on the maximum likelihood method with the convex sparse group Lasso penalty. Moreover, our model is able to model multiple multivariate linear regressions with unknown noise covariances via a convex formulation.
View Article and Find Full Text PDFAn anthracene-bridged dinuclear zinc(ii)-dipicolylamine complex was found to show high selectivity for ADP with a significant fluorescence enhancement over ATP, PPi and other common analytes in 100% aqueous solution. This complex can be used for fluorescence detection of ADP in living cells and for monitoring the activity of kinases.
View Article and Find Full Text PDFIEEE Trans Neural Netw Learn Syst
November 2015
We consider joint learning of multiple sparse matrix Gaussian graphical models and propose the joint matrix graphical Lasso to discover the conditional independence structures among rows (columns) in the matrix variable under distinct conditions. The proposed approach borrows strength across the different graphical models and is based on the maximum likelihood with penalized row and column precision matrices, respectively. In particular, our model is more parsimonious and flexible than the joint vector graphical models.
View Article and Find Full Text PDFThe development of probes for rapid, selective, and sensitive detection of the highly toxic thiophenols is of great importance in both environmental and biological science. Despite the appealing advantages of near-infrared (NIR) fluorescent detection, no NIR fluorescent probes have been reported for thiophenols to date. Using the chemical properties of thiophenols that are able to cleave sulfonamide selectively and efficiently under mild conditions, we herein report a dicyanomethylene-benzopyran (DCMB)-based NIR fluorescent probe for thiophenols.
View Article and Find Full Text PDFWe report herein a new approach, which combines fast nucleophilic addition of H2S to an aldehyde group and the subsequent intramolecular thiolysis of dinitrophenyl ether, and can be used to develop efficient and effective H2S probes.
View Article and Find Full Text PDFIntroducing hydrogen bond donors to a receptor was found to be an effective approach to improve both its selectivity and binding affinity for pyrophosphate in water. The crystal structure of Zn3-ADP complex showed the improvements come from the combination of H-bonding and metal coordination in a manner similar to many metalloenzymes.
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