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Deep Reinforcement Learning (DRL) algorithms have achieved great success in solving many challenging tasks while their black-box nature hinders interpretability and real-world applicability, making it difficult for human experts to…

机器学习 · 计算机科学 2024-10-23 Jingdi Chen , Hanhan Zhou , Yongsheng Mei , Carlee Joe-Wong , Gina Adam , Nathaniel D. Bastian , Tian Lan

Computations, where the number of results is much smaller than the input data and are produced through some sort of accumulation, are called Reductions. Reductions appear in many scientific applications. Usually, reductions admit an…

编程语言 · 计算机科学 2018-01-19 Nirmal Prajapati

Exact solution of hard combinatorial optimization problems often relies on strong convex relaxations, but solving these relaxations repeatedly inside a branch-and-bound algorithm can be prohibitively expensive. Hence, we consider this…

机器学习 · 计算机科学 2026-05-11 Hao Chen , Chendi Qian , Christopher Morris , Andrea Lodi , Can Li

The Maximum Cut (MaxCut) problem is NP-Complete, and obtaining its optimal solution is NP-hard in the worst case. As a result, heuristic-based algorithms are commonly used, though their design often requires significant domain expertise.…

机器学习 · 计算机科学 2025-06-17 Gabriel Maliakal , Ismail Alkhouri , Alvaro Velasquez , Adam M Alessio , Saiprasad Ravishankar

Scaling Bayesian optimisation (BO) to high-dimensional search spaces is a active and open research problems particularly when no assumptions are made on function structure. The main reason is that at each iteration, BO requires to find…

机器学习 · 统计学 2026-04-28 Hung Tran-The , Sunil Gupta , Santu Rana , Svetha Venkatesh

Computing the rotation distance between two binary trees with $n$ internal nodes efficiently (in $poly(n)$ time) is a long standing open question in the study of height balancing in tree data structures. In this paper, we initiate the study…

数据结构与算法 · 计算机科学 2026-04-08 Anoop S. K. M. , Jayalal Sarma

The problem of best subset selection in linear regression is considered with the aim to find a fixed size subset of features that best fits the response. This is particularly challenging when the total available number of features is very…

统计方法学 · 统计学 2023-11-28 Sarat Moka , Benoit Liquet , Houying Zhu , Samuel Muller

Given a metric space on n points, an {\alpha}-approximate universal algorithm for the Steiner tree problem outputs a distribution over rooted spanning trees such that for any subset X of vertices containing the root, the expected cost of…

数据结构与算法 · 计算机科学 2010-11-18 Anand Bhalgat , Deeparnab Chakrabarty , Sanjeev Khanna

We consider algorithms to schedule packets with values and deadlines in a size-bounded buffer. At any time, the buffer can store at most B packets. Packets arrive over time. Each packet has a non-negative value and an integer deadline. In…

数据结构与算法 · 计算机科学 2010-02-01 Fei Li

We study MaxCut on 3-regular graphs of minimum girth $g$ for various $g$'s. We obtain new lower bounds on the maximum cut achievable in such graphs by analyzing the Quantum Approximate Optimization Algorithm (QAOA). For $g \geq 16$, at…

量子物理 · 物理学 2026-01-27 Edward Farhi , Sam Gutmann , Daniel Ranard , Benjamin Villalonga

Query optimization remains one of the most challenging problems in data management systems. Recent efforts to apply machine learning techniques to query optimization challenges have been promising, but have shown few practical gains due to…

数据库 · 计算机科学 2023-03-28 Ryan Marcus , Parimarjan Negi , Hongzi Mao , Nesime Tatbul , Mohammad Alizadeh , Tim Kraska

Score-based algorithms that learn Bayesian Network (BN) structures provide solutions ranging from different levels of approximate learning to exact learning. Approximate solutions exist because exact learning is generally not applicable to…

人工智能 · 计算机科学 2020-12-02 Zhigao Guo , Anthony C. Constantinou

The Binary Space Partitioning-Tree~(BSP-Tree) process was recently proposed as an efficient strategy for space partitioning tasks. Because it uses more than one dimension to partition the space, the BSP-Tree Process is more efficient and…

机器学习 · 统计学 2020-03-03 Xuhui Fan , Bin Li , Scott A. Sisson

Best subset selection in linear regression is well known to be nonconvex and computationally challenging to solve, as the number of possible subsets grows rapidly with increasing dimensionality of the problem. As a result, finding the…

机器学习 · 统计学 2025-04-01 Vikram Singh , Min Sun

We give a 2-approximation algorithm for the Maximum Agreement Forest problem on two rooted binary trees. This NP-hard problem has been studied extensively in the past two decades, since it can be used to compute the rooted Subtree…

数据结构与算法 · 计算机科学 2018-11-15 Neil Olver , Frans Schalekamp , Suzanne van der Ster , Leen Stougie , Anke van Zuylen

Gradient Boosting Machines (GBM) are hugely popular for solving tabular data problems. However, practitioners are not only interested in point predictions, but also in probabilistic predictions in order to quantify the uncertainty of the…

机器学习 · 计算机科学 2021-06-08 Olivier Sprangers , Sebastian Schelter , Maarten de Rijke

Tree boosting is a highly effective and widely used machine learning method. In this paper, we describe a scalable end-to-end tree boosting system called XGBoost, which is used widely by data scientists to achieve state-of-the-art results…

机器学习 · 计算机科学 2016-06-14 Tianqi Chen , Carlos Guestrin

Let $G$ be an undirected graph. We say that $G$ contains a ladder of length $k$ if the $2 \times (k+1)$ grid graph is an induced subgraph of $G$ that is only connected to the rest of $G$ via its four cornerpoints. We prove that if all the…

组合数学 · 数学 2024-01-31 Steven Chaplick , Steven Kelk , Ruben Meuwese , Matus Mihalak , Georgios Stamoulis

This paper is aimed to investigate some computational aspects of different isoperimetric problems on weighted trees. In this regard, we consider different connectivity parameters called {\it minimum normalized cuts}/{\it isoperimteric…

计算复杂性 · 计算机科学 2010-09-06 Amir Daneshgar , Ramin Javadi

The recent rising popularity of ultra-fast delivery services on retail platforms fuels the increasing use of urban warehouses, whose proximity to customers makes fast deliveries viable. The space limit in urban warehouses poses a problem…

最优化与控制 · 数学 2019-05-06 Rong Jin , David Simchi-Levi , Li Wang , Xinshang Wang , Sen Yang