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The tree-cut width of a graph is a graph parameter defined by Wollan [J. Comb. Theory, Ser. B, 110:47-66, 2015] with the help of tree-cut decompositions. In certain cases, tree-cut width appears to be more adequate than treewidth as an…

数据结构与算法 · 计算机科学 2018-05-16 Eunjung Kim , Sang-il Oum , Christophe Paul , Ignasi Sau , Dimitrios M. Thilikos

Tree decompositions were developed by Robertson and Seymour. Since then algorithms have been developed to solve intractable problems efficiently for graphs of bounded treewidth. In this paper we extend tree decompositions to allow cycles to…

数据结构与算法 · 计算机科学 2007-05-23 Melanie J. Agnew , Christopher M. Homan

We consider a discrete-time Markov chain, called fragmentation process, that describes a specific way of successively removing objects from a linear arrangement. The process arises in population genetics and describes the ancestry of the…

概率论 · 数学 2020-03-17 Ellen Baake , Mareike Esser

Over the past decade, we witness an increasing amount of interest in the design of exact exponential-time and parameterized algorithms for problems in Graph Drawing. Unfortunately, we still lack knowledge of general methods to develop such…

数据结构与算法 · 计算机科学 2023-10-10 Siddharth Gupta , Guy Sa'ar , Meirav Zehavi

Decision trees are widely used for non-linear modeling, as they capture interactions between predictors while producing inherently interpretable models. Despite their popularity, performing inference on the non-linear fit remains largely…

统计方法学 · 统计学 2026-04-14 Soham Bakshi , Snigdha Panigrahi

Raising the order of the multipole expansion is a feasible approach for improving the accuracy of the treecode algorithm. However, a uniform order for the expansion would result in the inefficiency of the implementation, especially when the…

数值分析 · 数学 2024-12-31 Zixuan Cui , Lei Yang

We demonstrate that adaptively controlling the size of individual regression trees in a random forest can improve predictive performance, contrary to the conventional wisdom that trees should be fully grown. A fast pruning algorithm,…

机器学习 · 统计学 2024-08-15 Nikola Surjanovic , Andrew Henrey , Thomas M. Loughin

The connection between dependency trees and spanning trees is exploited by the NLP community to train and to decode graph-based dependency parsers. However, the NLP literature has missed an important difference between the two structures:…

计算与语言 · 计算机科学 2020-10-08 Ran Zmigrod , Tim Vieira , Ryan Cotterell

Probabilistic programming frameworks are powerful tools for statistical modelling and inference. They are not immediately generalisable to phylogenetic problems due to the particular computational properties of the phylogenetic tree object.…

While normalizing flows for continuous data have been extensively researched, flows for discrete data have only recently been explored. These prior models, however, suffer from limitations that are distinct from those of continuous flows.…

机器学习 · 计算机科学 2022-07-06 Mai Elkady , Jim Lim , David I. Inouye

Quantization is an essential technique for making neural networks more efficient, yet our theoretical understanding of it remains limited. Previous works demonstrated that extremely low-precision networks, such as binary networks, can be…

机器学习 · 计算机科学 2025-08-18 Aakash Kumar , Emanuele Natale

A novel deep learning method for improving the belief propagation algorithm is proposed. The method generalizes the standard belief propagation algorithm by assigning weights to the edges of the Tanner graph. These edges are then trained…

信息论 · 计算机科学 2016-10-03 Eliya Nachmani , Yair Beery , David Burshtein

Speculative decoding is a promising approach for accelerating large language models. The primary idea is to use a lightweight draft model to speculate the output of the target model for multiple subsequent timesteps, and then verify them in…

计算与语言 · 计算机科学 2025-11-06 Yepeng Weng , Qiao Hu , Xujie Chen , Li Liu , Dianwen Mei , Huishi Qiu , Jiang Tian , Zhongchao Shi

We introduce a pruning algorithm that provably sparsifies the parameters of a trained model in a way that approximately preserves the model's predictive accuracy. Our algorithm uses a small batch of input points to construct a data-informed…

机器学习 · 计算机科学 2021-03-16 Cenk Baykal , Lucas Liebenwein , Igor Gilitschenski , Dan Feldman , Daniela Rus

Speculative decoding (SD) accelerates large language model inference by leveraging a draft-then-verify paradigm. To maximize the acceptance rate, recent methods construct expansive draft trees, which unfortunately incur severe VRAM…

机器学习 · 计算机科学 2026-05-20 Yuhao Shen , Tianyu Liu , Xinyi Hu , Quan Kong , Baolin Zhang , Jun Dai , Jun Zhang , Shuang Ge , Lei Chen , Yue Li , Mingcheng Wan , Cong Wang

We present a comprehensive classical and parameterized complexity analysis of decision tree pruning operations, extending recent research on the complexity of learning small decision trees. Thereby, we offer new insights into the…

机器学习 · 计算机科学 2025-03-06 Juha Harviainen , Frank Sommer , Manuel Sorge , Stefan Szeider

We present a diversity multiplexing tradeoff (DMT) optimal tree pruning sphere decoding algorithm which visits merely a single branch of the search tree of the sphere decoding (SD) algorithm, while maintaining the DMT optimality at high…

信号处理 · 电气工程与系统科学 2019-10-22 Mohammad Neinavaie , Mostafa Derakhtian , Negar Daryanavardan , Sergiy Vorobyov

The performance of Deep Neural Networks (DNNs) keeps elevating in recent years with increasing network depth and width. To enable DNNs on edge devices like mobile phones, researchers proposed several network compression methods including…

计算机视觉与模式识别 · 计算机科学 2020-01-27 Yuhui Xu , Yuxi Li , Shuai Zhang , Wei Wen , Botao Wang , Yingyong Qi , Yiran Chen , Weiyao Lin , Hongkai Xiong

Phylogenetic trees are leaf-labelled trees used to model the evolution of species. Here we explore the practical impact of kernelization (i.e. data reduction) on the NP-hard problem of computing the TBR distance between two unrooted binary…

数据结构与算法 · 计算机科学 2023-08-21 Rim van Wersch , Steven Kelk , Simone Linz , Georgios Stamoulis

This paper is concerned with algorithms for prediction of discrete sequences over a finite alphabet, using variable order Markov models. The class of such algorithms is large and in principle includes any lossless compression algorithm. We…

人工智能 · 计算机科学 2011-07-04 R. Begleiter , R. El-Yaniv , G. Yona