The space of connected graph partitions underlies statistical models used as evidence in court cases and reform efforts that analyze political districting plans. In response to the demands of redistricting application...
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Learning to navigate in a visual environment following natural language instructions is a challenging task because natural language instructions are highly variable, ambiguous, and underspecified. In this paper, we pr...
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In this article, we investigate the lump, soliton, periodic, kink, and rogue waves to the time-fractional phi-four and (2+1) dimensional Calogero-Bogoyavlanskil schilf (CBS) equations. The (G′/G,1/G)-expansion techni...
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Recently, deep learning methods have shown exciting effects in Sparse-view CT reconstruction. The Dual-Domain (DuDo) deep learning method is one of the representative methods, and it can process the information in bot...
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Motor imagery (MI)-based brain-computer interfaces (BCIs) using electroencephalography (EEG) have been widely adopted due to their portability and safety. However, the non-stationary nature of EEG signals introduces s...
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The increasing sophisticated robot and intelligent system applications require universal visualization platforms which can guarantee the security and efficiency of task process execution in the situation of user-progr...
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Exploiting label correlations is important to multi-label classification. Previous methods capture the high-order label correlations mainly by transforming the label matrix to a latent label space with low-rank matrix...
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Optimal parameter settings for application problems embedded into hardware graphs is key to practical quantum annealers (QAs). Embedding chains typically crop up as harmful Griffiths phases but can be used as a resour...
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Optimal parameter settings for application problems embedded into hardware graphs is key to practical quantum annealers (QAs). Embedding chains typically crop up as harmful Griffiths phases but can be used as a resource as we show here: to balance out singularities in the logical problem, changing its universality class. A smart choice of embedding parameters reduces annealing times for random Ising chain from O(exp[cN]) to O(N2). Dramatic reduction in time-to-solution for QAs is confirmed by numerics, for which we developed a custom integrator to overcome convergence issues.
Anchor-based bipartite graph clustering algorithms greatly enhance data analysis by accelerating computations without sacrificing performance. However, these methods face two limitations: reliance on fixed bipartite g...
Anchor-based bipartite graph clustering algorithms greatly enhance data analysis by accelerating computations without sacrificing performance. However, these methods face two limitations: reliance on fixed bipartite graphs and lack of interaction between the bipartite graph and anchor labels, which reduces adaptability to dynamic data and clustering performance. To overcome these, a novel method, called Clustering with Dynamic Bipartite Graph Learning (DBGL) is proposed. The DBGL objective function is composed of two parts: construct the bipartite graph and learn the anchor labels. The bipartite graph and anchor labels are updated iteratively, resulting in a dynamic bipartite graph that evolves throughout the clustering process. Our dynamic technique is more flexible and performs better on large, complicated datasets than fixed bipartite graph methods. Additionally, we introduce label transmission into DBGL, enabling autonomous interaction between bipartite graph and anchor labels, which mutually guide each other toward optimal clustering results. We design an alternating optimization algorithm where the bipartite graph is updated using an Iteratively Re-Weighted (IRW) algorithm, while the anchor labels are optimized through an improved Coordinate Descent (CD) algorithm. Comprehensive experiments on benchmark datasets demonstrate that DBGL outperforms leading methods in clustering accuracy, efficiency, and robustness, with theoretical analysis confirming its convergence and stability.
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