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Apple Machine Learning Research

Multilingual Knowledge Transfer under Data Constraints via Lexical Interventions Scaling Laws for Mixture Pretraining Under Data Constraints Examining Human-Like Behaviors in LLMs: A Multi-Dimensional Analysis of Model Behaviors, User Factors, and System Prompts The P-Completeness of Inverted Index Traversal: On the Complexity of Evaluating Boolean Query DAGs GRPO Beyond English: A Large-Scale Study of GRPO in Non-English and Multilingual Settings MVICAD2: Multi-View Independent Component Analysis with Delays and Dilations A Specialized Semismooth Newton Method for Kernel-Based Optimal Transport When Unlearning Is Free: Leveraging Low Influence Points to Reduce Computational Costs Scaling Categorical Flow Maps Beyond Next-Token Prediction: A Performance Characterization of Diffusion versus Autoregressive Language Models Arbitrage: Efficient Reasoning via Advantage-Aware Speculation Locking Pretrained Weights via Deep Low-Rank Residual Distillation DeepAmbigQA: Ambiguous Multi-hop Questions for Benchmarking LLM Answer Completeness Taming Outlier Tokens in Diffusion Transformers Understanding Alignment in Multimodal LLMs: A Comprehensive Study MoMo: Dial Motion Mode in Robot Manipulation with Spatiotemporal Action Tokenization Memory Efficient Audio Synthesis with Decoupled Temporal Depth Diffusion Transformers GH-ESD: Grounded Hypothesis-Driven Error Slice Discovery for Instance-Level Vision Tasks LEAD: Breaking the No-Recovery Bottleneck in Long-Horizon Reasoning Environment-free Synthetic Data Generation for API-Calling Agents Accelerating Text-to-Video Generation with Calibrated Sparse Attention RayRoPE: Projective Ray Positional Encoding for Multi-View Attention LVSum: A Benchmark for Timestamp-Aware Long Video Summarization Length Value Model: Scalable Value Pretraining for Token-Level Length Modeling When Unlearning Is Free: Leveraging Low Influence Points to Reduce Computational Costs Show Me Examples: Inferring Visual Concepts from Image Sets Location-Invariant Properties of Functions Versus Properties of Distributions: United in Testing but Separated in Verification Interactive Proofs for General Distribution Properties Doubly Sub-linear Interactive Proofs of Proximity Personalizing Incremental Video Search with Hybrid Text and ID Embeddings
Dimensionality Reduction Meets Network Science: Sensemaki...
2026-07-30 · via Apple Machine Learning Research

AuthorsDuen Horng (Polo) Chau, Donghao Ren, Fred Hohman, Dominik Moritz

While UMAP is widely used for exploring high-dimensional data, typical workflows focus on its lower-dimensional embedding, largely overlooking the rich k-nearest-neighbor (kNN) graph that UMAP constructs internally. This graph encodes the data manifold in its original high-dimensional space, before the distortion that UMAP’s 2D projection introduces. We demonstrate the untapped potential of this internal representation, showing how standard graph algorithms applied to this graph enhance data sensemaking: (1) PageRank identifies representative data points, (2) k-core decomposition reveals dense core regions versus sparse periphery, and (3) clustering coefficient detects tight-knit neighborhoods with highly-similar data points. Through quantitative and qualitative evaluation on MNIST and Fashion MNIST, we show that these graph-based analyses are not only practical but also competitive with or complementary to purpose-built methods (e.g., k-medoids for exemplar selection, HDBSCAN for density-based clustering).

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