## What is/are Overlapping Group?

Overlapping Group - We consider using non-convex high-order total variation and overlapping group sparsity as a hybrid regularization to present a new denoising model.^{[1]}States were divided into four nonoverlapping groups based on expansion status on January 1, 2014 (expansion versus non-expansion) and leniency of Medicaid HCV coverage (lenient versus restrictive coverage).

^{[2]}Cartilage step-off was also found to be significantly increased in the oblong group compared with the overlapping group (P <.

^{[3]}This was done for the ‘all driver’ sample and five sometimes overlapping groups of drivers; the young, the elderly, and those with a motorcycle license, a heavy vehicle license endorsement and/or a history of license bans.

^{[4]}0%) at presentation, and within this CP class, although the ALBI grade revealed two clear and nonoverlapping groups, the MCP grade revealed three clearly different prognostic groups.

^{[5]}Here, we proposed an extended partial least squares (PLS) model with a new sparse scheme for overlapping metabolite set enrichment analysis, named overlapping group PLS (ogPLS) analysis.

^{[6]}In this work, certain aspects of the structure of the overlapping groups of neurons encoding specific signals are examined.

^{[7]}We report results from extensive numerical experiments in two statistical learning settings such as large-scale overlapping group Lasso and doubly regularized support vector machine.

^{[8]}Therefore, to study the process of information exchange and dissemination in complex and overlapping group networks, this paper first constructs the friend circles network (FCnet) and then proposes a dynamic information dissemination circle-susceptible–infected–removed (C-SIR) model.

^{[9]}Here we present ParProx, a state-of-the-art implementation to optimize overlapping group lasso regression models for time-to-event and classification analysis, guided by biological priors through coordinated variable selection.

^{[10]}For exploiting locality information, the last feature layer of the convolutional network is divided into several nonoverlapping groups and a separate metric learner is built on each group to get multiple metrics.

^{[11]}Factor analysis resulted in five overlapping groups of TC strategies, including those characterized by 1) medication reconciliation, 2) shared decision making, 3) identifying high risk patients, 4) care plan, and 5) cross-setting information exchange.

^{[12]}The proposed regularizer, which combines the overlapping group sparse (OGS) total variation with the high-order nonconvex total variation, can alleviate the staircase artifacts while preserving the original sharp edges.

^{[13]}Methods for inferring average causal effects have traditionally relied on two key assumptions: (i) the intervention received by one unit cannot causally influence the outcome of another; and (ii) units can be organized into nonoverlapping groups such that outcomes of units in separate groups are independent.

^{[14]}Introduction Central sensitization syndromes (CSS) comprise an overlapping group of clinical conditions with the core feature of “pain arising as a direct consequence of a lesion or disease affecting the somatosensory system.

^{[15]}Our analyses revealed the microbial community as a mosaic, with overlapping groups of taxa that varied on different timescales and correlated with unique abiotic and biotic factors.

^{[16]}Our results are applicable to concrete optimization models such as group-fused Lasso and overlapping group Lasso.

^{[17]}Our method has the computational efficiency needed to realistically solve the problem of rule-extraction from survival data if we consider both rule sparsity and variable sparsity, by adopting a quadratic loss function with an overlapping group regularization.

^{[18]}Within all genes identified, we distinguished two slightly overlapping groups obtained from using protein-coding and non-coding variants.

^{[19]}In a sub-analysis, the incidence of the event was significantly lower in non-Met NAFLD than in the overlapping group (HR 0.

^{[20]}We performed lesion-deficit correlations, including connectome-based lesion-symptom mapping, in four large, partially overlapping groups of English-speaking chronic left hemisphere stroke survivors.

^{[21]}Hence, we propose a variational model that uses the non-convex lp-norm, 0 < p < 1 for both the data fidelity and a second-order total variation regularization term combined with an overlapping group sparse regularizer.

^{[22]}To this end, we first propose group-sparse SVD models with group Lasso (GL1-SVD) and group L0-norm penalty (GL0-SVD) for non-overlapping group structure of variables.

^{[23]}However, due to the large scale of the network topology graph and the large number of terminal nodes, most of the existing overlapping group detection algorithms are relatively complex, and the data size that can be processed is limited, and cannot be directly applied to the network topology.

^{[24]}The total variation with overlapping group sparsity (OGS-TV) has been successfully applied for image denoising/deblurring.

^{[25]}Transcription factors influence specific but overlapping groups of genes, so that each gene is controlled by several transcription factors that act together like a dimmer switch to regulate gene activity.

^{[26]}Methods We aimed to develop a health trajectories (HT) management methodology based on electronic health records (EHR) and analysing overlapping groups of patients who share a similar risk of developing a particular disease or experiencing specific adverse health effects.

^{[27]}METHODS This study proposes a weighted total variation with overlapping group sparsity model.

^{[28]}In this paper, a new model combining four-directional total variation with overlapping group sparsity is proposed, which not only suppresses the staircase effects introduced by traditional total variation, but also fully utilizes the gradient neighborhood information on each pixel of the image.

^{[29]}In the light of a minimisation of convex cost work fusing the blended norm, this work introduces the technique "overlapping group shrinking.

^{[30]}Therefore, this paper first proposes the overlapping group sparse model.

^{[31]}divided their cohort of 177 patients with suspected chronic myeloid malignancies into two overlapping groups to exemplify the clinical impact of targeted sequencing to confirm or discard a suspected diagnosis (group A) and to assess the therapeutic consequences of somatic mutations (group B).

^{[32]}Ecologically, the nested structure minimizes competition and increases the number of coexisting species, creating high diversity, while the modular structure occurs when there are non-overlapping groups of highly interacting consumer-resource species.

^{[33]}a non-overlapping group design and overlapping group design.

^{[34]}Then, it uses a GNN to predict pairwise affinity values that represent the likelihood of two people interacting together, and computes non-overlapping group assignments based on these affinities.

^{[35]}Overlapping group sparsity along with LF-GGVF is used as priors in image denoising optimization framework.

^{[36]}66) and overlapping groups (median, 3.

^{[37]}Here we present ParProx, a state-of-the-art implementation to optimize overlapping and non-overlapping group lasso regression models for time-to-event and classification analysis, with selection of variables grouped by biological priors.

^{[38]}, citations and cowords, and most of these networks are made up of cohesive, highly overlapping groups of nodes.

^{[39]}One group (N = 11) rated the recordings for pleasantness and eventfulness using an adapted version of the Swedish Soundscape Quality Protocol, and a partly overlapping group (N = 12) annotated perceived sound events with free-form semantic labels.

^{[40]}In this national survey study (n = 2040), we assessed how the UK population; particularly these overlapping groups, reported their preparedness for digital health strategies.

^{[41]}During the group division, all the individuals in the original table are partitioned into non-overlapping groups so that the published data satisfies the pre-defined privacy requirements of our (

^{[42]}Retroperitoneal fibrosis and chronic periaortitis describe overlapping groups of rare diseases characterized by inflammation and fibrosis involving the aorta.

^{[43]}This paper introduces an image denoising framework using higher order fractional overlapping group sparsity prior to sparser image representation constraint.

^{[44]}In a contemporaneous report, an overlapping group found that the application of an S system could discriminate overall survival differences among patients with advanced pathologic nodal stages, while the N system failed to identify such differences within their cohort.

^{[45]}We introduce basic group-based mobility scenarios including periods of overlapping group clusters and present both emulation and simulation models of these scenarios.

^{[46]}These authors and co-authors formed 44 separate, nonoverlapping groups (components).

^{[47]}08) between the overlapping and non-overlapping groups.

^{[48]}Comparative analysis of patients who were missed by the criteria revealed significant differences in rates of individual clinical and serological features ( Table 1 ) suggesting that existing criteria may classify non-overlapping groups of patients.

^{[49]}The operating characteristics of the BPD criteria were examined in 3 nonoverlapping groups of patients: those with a principal diagnosis of MDD, those with a principal diagnosis of bipolar disorder, and all remaining patients.

^{[50]}

## Two Overlapping Group

divided their cohort of 177 patients with suspected chronic myeloid malignancies into two overlapping groups to exemplify the clinical impact of targeted sequencing to confirm or discard a suspected diagnosis (group A) and to assess the therapeutic consequences of somatic mutations (group B).^{[1]}We proposed two overlapping groups would differentially influence drinking (important others; drinking buddies; and members of both groups).

^{[2]}For this, the authors have separated two overlapping groups with data from 4 satellites each besides to consider data from 6 satellites group.

^{[3]}There are two overlapping groups in simulation: those who create new technologies and those who create the scenarios that foster and test skills.

^{[4]}

## overlapping group sparsity

We consider using non-convex high-order total variation and overlapping group sparsity as a hybrid regularization to present a new denoising model.^{[1]}The total variation with overlapping group sparsity (OGS-TV) has been successfully applied for image denoising/deblurring.

^{[2]}METHODS This study proposes a weighted total variation with overlapping group sparsity model.

^{[3]}In this paper, a new model combining four-directional total variation with overlapping group sparsity is proposed, which not only suppresses the staircase effects introduced by traditional total variation, but also fully utilizes the gradient neighborhood information on each pixel of the image.

^{[4]}Overlapping group sparsity along with LF-GGVF is used as priors in image denoising optimization framework.

^{[5]}This paper introduces an image denoising framework using higher order fractional overlapping group sparsity prior to sparser image representation constraint.

^{[6]}This paper presents a novel Nonconvex Low Rank Model with Phase congruency and overlapping Group sparsity regularization (NLRM-PG) for mixed noise removal.

^{[7]}In order to improve the computational efficiency and the correlation between the sparse coefficients, this paper employs the concept of overlapping group sparsity formulated for both convex and non-convex denoising frameworks.

^{[8]}We propose an image denoising method by combining overlapping group sparsity and second-order total variation regularization.

^{[9]}In order to alleviate the staircase effects, we propose a new convex model based on the total variation with overlapping group sparsity for recovering blurred images corrupted by Cauchy noise.

^{[10]}

## overlapping group sparse

The proposed regularizer, which combines the overlapping group sparse (OGS) total variation with the high-order nonconvex total variation, can alleviate the staircase artifacts while preserving the original sharp edges.^{[1]}Hence, we propose a variational model that uses the non-convex lp-norm, 0 < p < 1 for both the data fidelity and a second-order total variation regularization term combined with an overlapping group sparse regularizer.

^{[2]}Therefore, this paper first proposes the overlapping group sparse model.

^{[3]}To improve the sparse characteristics of the image while maintaining the image edges and weakening staircase artifacts, we propose a method that uses the Lp quasinorm instead of the L1 norm and for infrared image deblurring with an overlapping group sparse TV method.

^{[4]}To make full use of the information on adjacent points, preserve the image structure, and avoid staircase artifacts, this paper proposes a super-resolution reconstruction method for infrared images based on quaternion total variation and high-order overlapping group sparse.

^{[5]}The aim of this study was to test a method called 'Overlapping Group Sparse Denoising' performance to remove noises from electroencephalography signals of sequential masseter activity.

^{[6]}In this paper, we address this problem by proposing a combined non-convex higher order total variation with overlapping group sparse regularizer.

^{[7]}

## overlapping group lasso

We report results from extensive numerical experiments in two statistical learning settings such as large-scale overlapping group Lasso and doubly regularized support vector machine.^{[1]}Here we present ParProx, a state-of-the-art implementation to optimize overlapping group lasso regression models for time-to-event and classification analysis, guided by biological priors through coordinated variable selection.

^{[2]}Our results are applicable to concrete optimization models such as group-fused Lasso and overlapping group Lasso.

^{[3]}Here we present ParProx, a state-of-the-art implementation to optimize overlapping and non-overlapping group lasso regression models for time-to-event and classification analysis, with selection of variables grouped by biological priors.

^{[4]}In this paper, we propose a novel method called overlapping group Lasso to solve inverse synthetic aperture radar (ISAR) imaging problem.

^{[5]}

## overlapping group structure

To this end, we first propose group-sparse SVD models with group Lasso (GL1-SVD) and group L0-norm penalty (GL0-SVD) for non-overlapping group structure of variables.^{[1]}We study the stability of overlapping group structures where each group possesses a constitution that contains the rules governing both the composition of the group and the conditions needed to leave the group and/or to become a new member of the group.

^{[2]}In this paper, we mainly focus on the theoretical problems for the overlapping group structure of generalized linear models (GLMs).

^{[3]}Here, we consider prior knowledge of a hierarchical overlapping group structure to improve variable selection in regression setting.

^{[4]}