Article
Mathematics
Feng Tan
Summary: This paper investigates the complexity of random dynamical systems, focusing on the existence of chaotic phenomena in a system when certain conditions are met. The study proves that there is a strong second type of distributional chaos in the random dynamical system if a specific criterion is fulfilled.
JOURNAL OF DIFFERENTIAL EQUATIONS
(2022)
Article
Mathematics
Kausthub Keshava, Alain Jean-Marie, Sara Alouf
Summary: This study proposes a model for optimizing document prefetching, where a random surfer moves along a random tree with the controller only knowing the tree up to a certain depth. The model was analyzed using Markov decision process theory to determine the optimal policy for minimizing the probability of the surfer moving to a node not prefetched.
Article
Mathematics, Applied
Juan Baz, Pedro Alonso, Juan Manuel Pena, Raul Perez-Fernandez
Summary: This paper focuses on the conditions for the covariance matrix of a multivariate Gaussian distribution to be totally positive, with a particular emphasis on Gaussian Markov Random Fields. It is proven that if the graph representing the Gaussian Markov Random Field consists of path graphs and the covariances between adjacent variables are non-negative, then a reordering of the variables can be found to make the resulting covariance matrix totally positive. The paper also identifies this reordering and provides some necessary and sufficient conditions for the covariance matrix of a multivariate Gaussian distribution to be totally positive.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2023)
Article
Mathematics
Ron Rosenthal, Lior Tenenbaum
Summary: This paper proves a high-dimensional generalization of McKay's result for random d-dimensional, k-regular simplicial complexes on n vertices, showing that the weighted number of simplicial spanning trees is of order (?(d,k) + o(1))(n/d) as n? 8, where ?(d,k) is an explicit constant, provided k > 4d(2) + d + 2.
Article
Statistics & Probability
Daniel Lacker, Jiacheng Zhang
Summary: We study the invariant measures of infinite systems of stochastic differential equations (SDEs) indexed by the vertices of a regular tree. These measures correspond to Gibbs measures associated with certain continuous specifications, and focus on the ones that are homogeneous Markov random fields. By characterizing the joint law at adjacent vertices in terms of a new two-dimensional SDE system, we derive existence and uniqueness results for the invariant measures. This framework is then applied to analyze linear coefficients and construct solutions with nearest-neighbor repulsion effects.
ELECTRONIC JOURNAL OF PROBABILITY
(2023)
Article
Mathematics, Applied
Luigi Accardi, Amenallah Andolsi, Farrukh Mukhamedov, Mohamed Rhaima, Abdessatar Souissi
Summary: The MCL algorithm is a highly efficient approach in detecting clustered structures in networks. It utilizes a stochastic matrix derived from the adjacency matrix of the graph network. Quantum clustering algorithms are proven to be more efficient than classical ones, and in this study, a clustering property for quantum Markov chains on Cayley trees associated with open quantum random walks is demonstrated.
Review
Physics, Multidisciplinary
Enrique Hernandez-Lemus
Summary: A random field represents the joint probability distribution of a set of random variables, with Markov fields serving as the theoretical foundation for many applications in statistical physics and probability. While Markov random fields have been used in statistical physics for a long time, their measure theoretical foundations were developed later on. Besides theoretical relevance, Markov random fields have been widely used in various fields like computational molecular biology, ecology and computer vision.
FRONTIERS IN PHYSICS
(2021)
Article
Biochemical Research Methods
Visweswaran Ravikumar, Tong Xu, Wajd N. Al-Holou, Salar Fattahi, Arvind Rao
Summary: This paper studies the problem of inferring spatially-varying Gaussian Markov random fields (SV-GMRF) and its application in gene regulatory network inference. To address the high computational cost, a simple and efficient optimization problem is proposed as an alternative to regularized maximum likelihood estimation (MLE). The developed framework is applied to study gene regulatory networks in Glioblastoma and identify important transcription factors and protein activities characterizing the tumor peri-vascular niche.
IEEE-ACM TRANSACTIONS ON COMPUTATIONAL BIOLOGY AND BIOINFORMATICS
(2023)
Article
Mathematics
Julia Garcia Cabello, Pedro A. Castillo, Maria-del-Carmen Aguilar-Luzon, Francisco Chiclana, Enrique Herrera-Viedma
Summary: This research introduces a new method using a decision model for redesigning networks without geographical constraints, applicable globally. The approach can be used in various fields, such as physical and non-physical networks, and its effectiveness is demonstrated through case studies.
Article
Computer Science, Information Systems
Hongjun Li, Miguel Barao, Luis Rato, Shengjun Wen
Summary: This paper focuses on the mapping problem for mobile robots in dynamic environments, using a Markov chain and Gaussian random fields to model the dynamic behavior of points and capture spatial correlation. The proposed method allows for learning unobserved space and provides a map that describes occupancy probabilities and dynamics.
Article
Computer Science, Artificial Intelligence
Addisson Salazar, Luis Vergara, Gonzalo Safont
Summary: The study introduces a new method called Generative Adversarial Network Synthesis for Oversampling (GANSO), which utilizes Generative Adversarial Networks (GAN) and vector Markov Random Field (vMRF) to oversample the training set of a classifier in scenarios of extreme scarcity, leading to improved classifier performance.
EXPERT SYSTEMS WITH APPLICATIONS
(2021)
Article
Computer Science, Interdisciplinary Applications
Victor Freguglia, Nancy Lopes Garcia
Summary: This paper presents the mrf2d package, which provides tools for statistical inference on Markov random field models on two-dimensional lattices, including popular models such as the Potts model and texture image models. The package introduces representations of dependence structures and parameters, visualization functions and efficient implementations of sampling algorithms, common estimation methods, and other key features of the model, providing a useful framework for algorithm implementation and working with the model in general.
JOURNAL OF STATISTICAL SOFTWARE
(2022)
Article
Computer Science, Artificial Intelligence
Shiliang Sun, Ziang Dong, Jing Zhao
Summary: Multiview learning has gained increasing attention in machine learning, but most methods cannot handle multiview sequential data directly. This study proposes a new multiview discriminant model, called multiview CRF, based on conditional random fields. By building relationships between items and introducing features, the model considers the relationships among different views and captures the correlations between features from the same view.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
(2022)
Article
Quantum Science & Technology
Farrukh Mukhamedov, Abdessatar Souissi, Tarek Hamdi, Amenallah Andolsi
Summary: The paper is a continuation of previous work on Quantum Markov Chains (QMC) associated with Open Quantum Random Walks and investigates the recurrence property of QMC. In this study, the recurrence and accessibility of QMC over trees are defined and the recurrence property of QMC associated with Open Quantum Random Walks is discussed.
QUANTUM INFORMATION PROCESSING
(2023)
Article
Computer Science, Information Systems
Kuntai Cai, Xiaoyu Lei, Jianxin Wei, Xiaokui Xiao
Summary: This paper introduces PrivMRF, a method for synthesizing high-dimensional datasets with differential privacy, which offers greater flexibility in choosing marginals compared to existing methods. Experimental results on four benchmark datasets demonstrate that PrivMRF consistently outperforms the state of the art in terms of accuracy in counting queries and classification tasks conducted on the synthetic data generated.
PROCEEDINGS OF THE VLDB ENDOWMENT
(2021)
Letter
Anesthesiology
Tang Xiu-mei, Wang Duan, Mou Ping, Ning Ning
REGIONAL ANESTHESIA AND PAIN MEDICINE
(2022)
Article
Chemistry, Multidisciplinary
Jiali Chen, Haolong Huang, Ruilin Lu, Xiaohui Wan, Yongchao Yao, Tian Yang, Pengfei Li, Ning Ning, Shiyong Zhang
Summary: Drug delivery systems (DDSs) have great potential in tumor therapy. Two common strategies for constructing DDSs are physical encapsulation and covalent grafting. However, these methods suffer from limitations such as low drug loading capacity and reduced drug activity. In this study, a new DDS based on self-assembly induced by hydrogen bonds was designed, which showed high drug loading capacity, stability, and pH-triggered drug release. The DDS was efficiently ingested by tumor cells and exhibited similar anticancer ability to the free drug. This hydrogen bond-based DDS represents a promising drug delivery system for tumor therapy.
Letter
Emergency Medicine
Zhongmin Fu, Lijun Liu, Jiali Chen, Ning Ning
AMERICAN JOURNAL OF EMERGENCY MEDICINE
(2022)
Article
Mathematics
Ning Ning, Wenjian Liu
Summary: In this paper, we analyze the tree reconstruction problem and establish rigorous reconstruction thresholds for a DNA evolution model with 4 bases. We determine the sufficient condition for reconstruction.
DISCRETE MATHEMATICS
(2022)
Letter
Dermatology
Rong Hu, Zhongmin Fu, Ning Ning, Fang He, Yeping Li
INTERNATIONAL WOUND JOURNAL
(2023)
Article
Nursing
Zhongmin Fu, Xiumei Tang, Duan Wang, Lijun Liu, Jiafei Li, Jiali Chen, Ning Ning, Zongke Zhou
Summary: The meta-analysis suggests that mepivacaine can lead to faster recovery of motor function and shorter length of stay compared to bupivacaine, but it may require more postoperative analgesics.
JOURNAL OF PERIANESTHESIA NURSING
(2022)
Review
Orthopedics
Xiumei Tang, Yahao Lai, Siwei Du, Ning Ning
Summary: This study analyzed the effect of adding the interspace between the popliteal artery and capsule of the knee (IPACK) in postoperative pain management for total knee arthroplasty (TKA). The results showed that IPACK can reduce postoperative pain scores, decrease morphine usage, and promote functional recovery without increasing the risk of complications.
JOURNAL OF ORTHOPAEDIC SURGERY AND RESEARCH
(2022)
Article
Orthopedics
Yue He, Xiumei Tang, Ning Ning, Jiali Chen, Peifang Li, Pengde Kang
Summary: The study aims to evaluate the efficacy of preoperative oral electrolyte-carbohydrate nutrition supplement in patients aged over 65 years undergoing total knee arthroplasty. The results showed that the administration of oral electrolyte-carbohydrate nutrition supplement significantly improved subjective comfort, electrolytes, and blood glucose without increasing the rates of complications in older patients undergoing total knee arthroplasty.
ORTHOPAEDIC SURGERY
(2022)
Review
Orthopedics
Xiumei Tang, Xile Jiang, Lei Lei, Weitao Zhu, Zhongmin Fu, Duan Wang, Jiali Chen, Ning Ning, Zongke Zhou
Summary: This study evaluated the analgesic effects of the combination of iPACK block and SACB compared to SACB alone after total knee arthroplasty. The results showed that the iPACK + SACB group had lower pain scores, reduced morphine consumption, and improved functional ability compared to the SACB group.
ORTHOPAEDIC SURGERY
(2022)
Article
Orthopedics
Primary Knee, Xiumei Tang, Duan Wang, Ping Mou, Lei Lei, Ning Ning, Jiali Chen, Zongke Zhou
Summary: This study aimed to evaluate the analgesic and functional outcomes of local infiltration analgesia (LIA), infiltration between the popliteal artery and the capsule of the posterior knee (IPACK), and LIA + IPACK in total knee arthroplasty (TKA). The results showed that LIA + IPACK and LIA groups had lower pain scores, less opioid consumption, and better functional results compared to the IPACK group.
JOURNAL OF ARTHROPLASTY
(2023)
Correction
Orthopedics
Tang Xiumei, Lai Yahao, Du Siwei, Ning Ning
JOURNAL OF ORTHOPAEDIC SURGERY AND RESEARCH
(2022)
Review
Orthopedics
Xiumei Tang, Yue He, Shi Pu, Lei Lei, Ning Ning, Yu Shi, Jiali Chen, Zongke Zhou
Summary: Patellar resurfacing in total knee arthroplasty reduces revision rate, anterior knee pain, and patellar clunk. However, it may prolong the surgical time.
ORTHOPAEDIC SURGERY
(2023)
Review
Nursing
Liu Ying, Jiali Chen, Peifang Li, Haiying Fu, Ning Ning, Chen Hong
Summary: This study evaluated the quality of literature on the prevention of skin damage caused by personal protective equipment among healthcare workers and summarized the best-evidence practice strategies. A total of 10 qualified studies, including guidelines, practice recommendations, and expert consensus, were included. Thirty best-evidence practice strategies were identified, covering cleaning, moisturizing, prophylactic dressings, and other aspects. However, the literature on this topic is limited and of slightly low quality, indicating the need for more high-quality research to focus on healthcare workers' health beyond just skin issues.
JOURNAL OF CLINICAL NURSING
(2023)
Article
Orthopedics
Peifang Li, Jingying Xie, Ning Ning, Jiali Chen
Summary: This study aimed to identify the predictors for forgotten joints in patients with total knee arthroplasty (TKA). The findings showed that sex, combined musculoskeletal disorders (MSD), operation time, previous forgotten joint score (T3), range of motion (ROM) (T6), pain score (T6), Groningen orthopaedic social support scale (GO-SSS) score (T6), and anxiety (T6) were the main predictors associated with the forgotten joint score at 6 months after surgery.
ORTHOPAEDIC SURGERY
(2023)
Letter
Geriatrics & Gerontology
Zhongmin Fu, Jiaxin Li, Menghui Gao, Jiali Chen, Ning Ning
AGING CLINICAL AND EXPERIMENTAL RESEARCH
(2023)