惯性聚合 高效追踪和阅读你感兴趣的博客、新闻、科技资讯
阅读原文 在惯性聚合中打开

推荐订阅源

V
Visual Studio Blog
Microsoft Azure Blog
Microsoft Azure Blog
WordPress大学
WordPress大学
小众软件
小众软件
Last Week in AI
Last Week in AI
月光博客
月光博客
博客园 - 聂微东
Recent Announcements
Recent Announcements
A
About on SuperTechFans
博客园 - 三生石上(FineUI控件)
V
V2EX
阮一峰的网络日志
阮一峰的网络日志
博客园 - Franky
云风的 BLOG
云风的 BLOG
量子位
N
Netflix TechBlog - Medium
Hugging Face - Blog
Hugging Face - Blog
H
Hackread – Cybersecurity News, Data Breaches, AI and More
J
Java Code Geeks
博客园 - 司徒正美
S
SegmentFault 最新的问题
有赞技术团队
有赞技术团队
Google DeepMind News
Google DeepMind News
宝玉的分享
宝玉的分享

cs.DS updates on arXiv.org

PAC Learning with Bandit Feedback: Sharp Sample Complexity in the Realizable Setting Algorithms with Polynomially-Improved Approximation Factors for the $2 \rightarrow q$ Norm, and Applications Approximation algorithms for the prize-collecting rural postman problem A computational phase transition for learning-to-sample from Ising models Covering vertices by sequential stars Fermi-Dirac machines as quantizations of neurons A Comprehensive Evaluation of Vertex Elimination Algorithms for Algorithmic Differentiation A Tight Bound on Localization of Electrical Flows Optimal Dimension-Free Sampling for Regularized Classification Reducing the Randomness in Partition Oracles for Bounded Degree Minor-Free Graphs Beyond the Half-Approximation: Fair and Efficient Online Class Matching Efficient Uniform Sampling of Surjections via their Profiles Tractable Maximization of Budgeted Phylogenetic Diversity on Networks Utilizing Node Scanwidth Fairness in Aggregation: Optimal Top-$k$ and Improved Full Ranking Learning-Augmented Online Scheduling with Parsimonious Preemption Entropy Equivalence Testing Lumberjack: Better Differentially Private Random Forests through Heavy Hitter Detection in Trees The Secretary Problem with a Stochastic Precursor Polynomial-Time Robust Multiclass Linear Classification under Gaussian Marginals Efficient Banzhaf-Based Data Valuation for $k$-Nearest Neighbors Classification Block-Sphere Vector Quantization An Approximation Algorithm for Graph Label Selection Iterative Chow Filtering for Learning with Distribution Shift Complexity of Non-Log-Concave Sampling in Fisher Information Stochastic Matching via Local Sparsification Finite Sample Bounds for Learning with Score Matching What is Learnable in Valiant's Theory of the Learnable? Provable Quantization with Randomized Hadamard Transform Min-Max Optimization Requires Exponentially Many Queries Fast and Compact Graph Cuts for the Boykov-Kolmogorov Algorithm
Optimal hypersurface decision trees
Xi He · 2025-09-15 · via cs.DS updates on arXiv.org

The study of optimal decision trees has gained increasing attention in recent years; however, despite substantial progress, it still suffers from two major challenges: First, trees constructed by existing optimal decision tree (ODT) algorithms have limited expressivity, as they are typically restricted to axis-parallel splits or binary features. Second, these algorithms generally do not scale well to large datasets. These two challenges are intertwined: decision trees with more expressive splitting rules incur significantly higher combinatorial complexity, making the ODT problem even more difficult to solve when using complex splits. Building on He and Little's proper decision tree framework, we propose the first algorithm for solving the optimal hypersurface decision tree problem with time complexity $O\left(K!\times N^{DG+G}\right)$, where $G$ is a variable depends on both $K$ (tree size), $M$ (polynomial degree of hypersurface) and $D$ (data dimension). To the best of our knowledge, no known algorithm is capable of producing decision trees with hypersurface splits. Moreover, the proposed algorithm is inherently amenable to vectorization, enabling efficient parallelization. Its generic design pattern also allows it to be used to accelerate other ODT variants, such as axis-parallel decision trees. Furthermore, we identify an effective pruning strategy for the optimal hypersurface decision tree problem, which enables our algorithm to run significantly faster than the worst-case upper bound, together with an incremental procedure that reduces the cost of checking the feasibility of a single configuration from quadratic to linear time.