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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.

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8 results for axis-parallel

The paper introduces explainable kk-means with axis-parallel hyperplanes for dd-dimensional data.

problem Creating explainable clustering with axis-parallel hyperplanes for complex data.
method An efficient algorithm that finds an explainable clustering with a near-optimal cost function.
result The algorithm achieves a near-optimal kk-means cost of k12/dpolylog(k)k^{1 - 2/d}\,\mathrm{polylog}(k) for dd-dimensional data.

Decision trees are a popular technique in statistical data classification. They recursively partition the feature space into disjoint sub-regions until each sub-region becomes homogeneous with respect to a particular class. The basic Classification and Regression Tree (CART) algorithm partitions the feature space using…

2015-04-14abs ↗pdf ↗

Enhanced ODT with Feature Concatenation boosts learning efficiency.

problem Insufficient learning efficiency of ODT due to linear projections not being transmitted to child nodes.
method Feature Concatenation ( exttt{FC-ODT}) to transmit linear projections along decision paths.
result Experiments show exttt{FC-ODT} outperforms state-of-the-art decision trees with a limited tree depth.

A new ensemble model uses simple hyper-rectangles to improve gradient boosting machine performance.

problem Improving gradient boosting machine performance and avoiding overfitting.
method Proposes a new ensemble model with axis-parallel hyper-rectangles as base models, integrates into GBM, and uses SHAP for interpretation.
result GBM with HRBMs can be an effective and interpretable model for regression and classification problems.

New model for STSs with restricted horizontal gluings, focusing on maximal horizontal cylinders.

problem Modeling STSs with specific horizontal restrictions.
method Modified model with conjugacy classes of permutations to restrict horizontal gluings.
result Asymptotic analysis of components, genus distribution, and saddle connections.

Chimera state refers to coexistence of coherent and non-coherent phases in identically coupled dynamical units found in various complex dynamical systems. Identification of Chimera, on one hand is essential due to its applicability in various areas including neuroscience, and on other hand is challenging due to its wid…

2020-01-16abs ↗pdf ↗