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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,657 papers · 148 categories

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128256384512 · Jun 202019922001200920172026
48 results for cluster information

Active learning optimizes correlation clustering by querying the most informative pairwise comparisons.

problem Efficiently clustering data with limited pairwise similarity information.
method Developed principled active learning approach using information-theoretic acquisition functions.
result Significantly outperforms existing baselines in clustering accuracy and query efficiency.

We propose a novel method for clustering data which is grounded in information-theoretic principles and requires no parametric assumptions. Previous attempts to use information theory to define clusters in an assumption-free way are based on maximizing mutual information between data and cluster labels. We demonstrate …

2013-10-15abs ↗pdf ↗

The information bottleneck (IB) approach to clustering takes a joint distribution P ⁣(X,Y)P\!\left(X,Y\right) and maps the data XX to cluster labels TT which retain maximal information about YY (Tishby et al., 1999). This objective results in an algorithm that clusters data points based upon the similarity of their condit…

2017-12-27abs ↗pdf ↗

Model selection in clustering requires (i) to specify a suitable clustering principle and (ii) to control the model order complexity by choosing an appropriate number of clusters depending on the noise level in the data. We advocate an information theoretic perspective where the uncertainty in the measurements quantize…

2010-06-02abs ↗pdf ↗

Proposes a method for multi-view clustering that integrates consistent and complementary graph regularizers.

problem Multi-view clustering where views have both consistent and complementary information.
method Consistent and complementary graph-regularized multi-view subspace clustering (GRMSC).
result The proposed method outperforms state-of-the-art methods on benchmark datasets.

Paper introduces NICc for fast cluster-based validation of prediction models.

problem Validation of prediction models on clustered data.
method Derived NICc to approximate leave-one-cluster-out deviance for standard regression models.
result NICc provides more accurate model size and variable selection, especially with strong clustering.

Semi-supervised clustering aims to introduce prior knowledge in the decision process of a clustering algorithm. In this paper, we propose a novel semi-supervised clustering algorithm based on the information-maximization principle. The proposed method is an extension of a previous unsupervised information-maximization …

2013-04-30abs ↗pdf ↗

This paper introduces GEMINI, a new metric for unsupervised neural network training that avoids the need for regularizations.

problem The mutual information (MI) as a clustering objective does not lead to satisfactory clusters.
method The authors generalised the mutual information by changing its core distance, introducing the Generalised Mutual Information (GEMINI).
result Some GEMINIs do not require regularizations when training and can automatically select the number of clusters.

This paper focuses on obtaining clustering information about a distribution from its i.i.d. samples. We develop theoretical results to understand and use clustering information contained in the eigenvectors of data adjacency matrices based on a radial kernel function with a sufficiently fast tail decay. In particular, …

2008-07-23abs ↗pdf ↗

Graph InfoClust learns node representations by capturing cluster-level information, improving graph mining tasks.

problem Leveraging cluster-level node information for unsupervised graph representation learning.
method Graph InfoClust (GIC) uses a differentiable K-means method to compute clusters and jointly optimizes mutual information between nodes of the same cluster.
result GIC outperforms state-of-the-art methods in various downstream tasks with a 0.9% to 6.1% gain.

This paper introduces GEMINI, a new mutual information metric for unsupervised neural network training.

problem The mutual information (MI) as a clustering objective does not lead to satisfactory clusters.
method The authors generalised MI by changing its core distance, introducing GEMINIs that do not require regularizations and can automatically select the number of clusters.
result GEMINIs can automatically select the number of clusters without requiring a priori knowledge of the number of clusters.

Multi-view clustering is an important yet challenging task due to the difficulty of integrating the information from multiple representations. Most existing multi-view clustering methods explore the heterogeneous information in the space where the data points lie. Such common practice may cause significant information …

2019-09-13abs ↗pdf ↗

DGC clusters data with side-information for better prediction.

problem Improving clustering strategies through better prediction performance.
method Deep Goal-Oriented Clustering (DGC) framework that clusters data using supervision and unsupervised modeling.
result Achieves prediction accuracies comparable to state-of-the-art, while learning congruent clustering strategies.

Unified framework for comparing clusterings from information-theoretic and pair-counting perspectives.

problem Divergent evaluations of unsupervised models due to different clustering similarity measures.
method Developed an analytical framework that unifies pair-counting and information-theoretic clustering similarity measures.
result Unified framework clarifies when and why the two regimes diverge and provides a principled basis for selecting and interpreting clustering similarity measures.

GOLFS selects features for clustering by combining global and local information.

problem Feature selection for high-dimensional clustering without labels.
method Combines global and local information via manifold learning and regularized self-representation.
result Improves feature selection and clustering accuracy.

Study finds price-based clustering outperforms AI and human methods in stock market analysis.

problem Investigates if AI can improve stock clustering compared to traditional methods.
method Compares price-based, human-informed, and AI-driven clustering methods using synthetic factor models.
result Price-based clustering reduces RMSE by 15.9% relative to GICS and 14.7% relative to LLM embeddings.

DIVI clusters noisy high-dimensional data with stable feature gating.

problem Challenging clustering in high-dimensional noisy data.
method Data-informed variational clustering framework combining global feature gating and adaptive structure growth.
result DIVI performs competitively under severe feature noise and remains computationally feasible.

Multi-view clustering has received much attention recently. Most of the existing multi-view clustering methods only focus on one-sided clustering. As the co-occurring data elements involve the counts of sample-feature co-occurrences, it is more efficient to conduct two-sided clustering along the samples and features si…

2019-05-25abs ↗pdf ↗

Sparse GEMINI selects relevant features for clustering without assumptions.

problem Feature selection in clustering with relevant clusters and variables.
method Discriminative clustering model maximizing GEMINI with l1 penalty.
result Sparse GEMINI selects relevant subsets of variables without prior hypotheses.

Proposes a method for multi-view clustering that considers local structures and feature weights.

problem Challenges in effectively exploiting complementary information across multiple views.
method Simultaneously assigns weights to different features and captures local information in view-specific feature spaces.
result Achieves state-of-the-art performance on benchmark datasets.

Proposes a new model for clustering passenger trips considering hierarchical and multi-dimensional data.

problem Clustering passenger trips with hierarchical and multi-dimensional data, especially in large-scale transportation systems.
method Tensor Dirichlet Process Multinomial Mixture (Tensor-DPMM) model, incorporating Dirichlet Process for automatic cluster number determination and tensor representation for multi-mode data.
result Automatic determination of the number of clusters and improved clustering quality.

Proposes a new model for clustering passenger trajectories with graphs.

problem Hierarchical trip structure, inaccurate clustering number, and lack of spatial semantic graphs.
method Tensor Dirichlet Process Multinomial Mixture model with graphs and a tensor version of Collapsed Gibbs Sampling.
result Automatic determination of the number of clusters and better cluster quality.

The clustering methods have recently absorbed even-increasing attention in learning and vision. Deep clustering combines embedding and clustering together to obtain optimal embedding subspace for clustering, which can be more effective compared with conventional clustering methods. In this paper, we propose a joint lea…

2019-04-30abs ↗pdf ↗

Study examines how cluster number affects short-text clustering, introducing a stability metric.

problem Challenges in finding meaningful clusters in short-text data.
method Introduces a stability metric to determine cluster robustness and visualizes cluster subdivisions.
result Choosing a cluster number involves balancing informativeness and complexity, not seeking a single 'optimal' solution.

The learning of mixture models can be viewed as a clustering problem. Indeed, given data samples independently generated from a mixture of distributions, we often would like to find the {\it correct target clustering} of the samples according to which component distribution they were generated from. For a clustering pr…

2017-03-30abs ↗pdf ↗

Adjusted for chance measures are widely used to compare partitions/clusterings of the same data set. In particular, the Adjusted Rand Index (ARI) based on pair-counting, and the Adjusted Mutual Information (AMI) based on Shannon information theory are very popular in the clustering community. Nonetheless it is an open …

2015-12-03abs ↗pdf ↗

Clustering, like covariate selection for classification, is an important step to compress and interpret the data. However, clustering of covariates is often performed independently of the classification step, which can lead to undesirable clustering results that harm interpretability and compression rate. Therefore, we…

2019-03-05abs ↗pdf ↗

Multi-view data are becoming common in real-world modeling tasks and many multi-view data clustering algorithms have thus been proposed. The existing algorithms usually focus on the cooperation of different views in the original space but neglect the influence of the hidden information among these different visible vie…

2019-08-12abs ↗pdf ↗

scICML integrates multi-omics data from single cells using co-clustering.

problem High noise and sparsity in multi-omics data from single cells.
method Information-theoretic co-clustering-based multi-view learning.
result Improves clustering performance and provides biological insights.

The area of constrained clustering has been extensively explored by researchers and used by practitioners. Constrained clustering formulations exist for popular algorithms such as k-means, mixture models, and spectral clustering but have several limitations. A fundamental strength of deep learning is its flexibility, a…

2019-01-29abs ↗pdf ↗