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UMAP: Uniform Manifold Approximation and Projection for Dimension Reduction

111 Pith papers cite this work. Polarity classification is still indexing.

111 Pith papers citing it
abstract

UMAP (Uniform Manifold Approximation and Projection) is a novel manifold learning technique for dimension reduction. UMAP is constructed from a theoretical framework based in Riemannian geometry and algebraic topology. The result is a practical scalable algorithm that applies to real world data. The UMAP algorithm is competitive with t-SNE for visualization quality, and arguably preserves more of the global structure with superior run time performance. Furthermore, UMAP has no computational restrictions on embedding dimension, making it viable as a general purpose dimension reduction technique for machine learning.

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  • abstract UMAP (Uniform Manifold Approximation and Projection) is a novel manifold learning technique for dimension reduction. UMAP is constructed from a theoretical framework based in Riemannian geometry and algebraic topology. The result is a practical scalable algorithm that applies to real world data. The UMAP algorithm is competitive with t-SNE for visualization quality, and arguably preserves more of the global structure with superior run time performance. Furthermore, UMAP has no computational restrictions on embedding dimension, making it viable as a general purpose dimension reduction technique

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On the continuum limit of t-SNE for data visualization

stat.ML · 2026-04-13 · unverdicted · novelty 8.0

t-SNE converges in the large-data limit to a non-convex variational energy with attraction and repulsion terms that admits a unique smooth minimizer but infinitely many discontinuous ones in one dimension.

Much of Geospatial Web Search Is Beyond Traditional GIS

cs.IR · 2026-05-11 · unverdicted · novelty 7.0

Analysis of 1.01 million unfiltered Bing queries identifies 18% as geospatial, dominated by transactional categories like costs (15.3%) that exceed traditional GIS scope.

Knowing when to trust machine-learned interatomic potentials

cs.LG · 2026-05-01 · unverdicted · novelty 7.0

PROBE recasts MLIP uncertainty quantification as selective classification by training a compact discriminative classifier on frozen per-atom backbone embeddings, yielding a reliability probability that tracks actual error better than ensemble disagreement.

Neighbor Embedding for High-Dimensional Sparse Poisson Data

stat.ML · 2026-04-18 · unverdicted · novelty 7.0

p-SNE embeds sparse Poisson count data into low dimensions by using KL divergence between Poisson distributions to measure pairwise dissimilarity and Hellinger distance to optimize the layout.

L-fuzzy simplicial homology

math.AT · 2026-04-09 · unverdicted · novelty 7.0

L-fuzzy simplicial homology generalizes simplicial homology to L-fuzzy subcomplexes by assigning values from a completely distributive lattice L to simplices and deriving associated homology modules.

Emotion Concepts and their Function in a Large Language Model

cs.AI · 2026-04-09 · unverdicted · novelty 7.0

Claude Sonnet 4.5 exhibits functional emotions via abstract internal representations of emotion concepts that causally influence its preferences and misaligned behaviors without implying subjective experience.

Dynamic Context Evolution for Scalable Synthetic Data Generation

cs.CL · 2026-04-08 · conditional · novelty 7.0

Dynamic Context Evolution prevents cross-batch mode collapse in LLMs by combining model self-assessment for idea filtering, embedding-based deduplication, and evolving prompts, yielding zero collapse and consistently richer idea clusters than naive prompting.

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