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We propose and study a multi-scale approach to vector quantization. We develop an algorithm, dubbed reconstruction trees, inspired by decision trees. Here the objective is parsimonious reconstruction of unsupervised data, rather than…

Machine Learning · Computer Science 2019-09-05 Enrico Cecini , Ernesto De Vito , Lorenzo Rosasco

Given a vertex-weighted tree T, the split of an edge xy in T is min{s_x(xy), s_y(xy)} where s_u(uv) is the sum of all weights of vertices that are closer to u than to v in T. Given a set of weighted vertices V and a multiset of splits S, we…

Data Structures and Algorithms · Computer Science 2011-12-09 Serge Gaspers , Mathieu Liedloff , Maya Stein , Karol Suchan

Because the presence of views enhances query performance, materialized views are increasingly being supported by commercial database/data warehouse systems. Whenever the data warehouse is updated, the materialized views must also be…

Databases · Computer Science 2007-05-23 Hoshi Mistry , Prasan Roy , Krithi Ramamritham , S. Sudarshan

The tree-depth problem can be seen as finding an elimination tree of minimum height for a given input graph $G$. We introduce a bicriteria generalization in which additionally the width of the elimination tree needs to be bounded by some…

Data Structures and Algorithms · Computer Science 2021-05-31 Piotr Borowiecki , Dariusz Dereniowski , Dorota Osula

Reconstructing weighted networks from partial information is necessary in many important circumstances, e.g. for a correct estimation of systemic risk. It has been shown that, in order to achieve an accurate reconstruction, it is crucial to…

Physics and Society · Physics 2017-03-07 Tiziano Squartini , Giulio Cimini , Andrea Gabrielli , Diego Garlaschelli

Tree-structured LSTM is promising way to consider long-distance interaction over hierarchies. However, there have been few research efforts on the hyperparameter tuning of the construction and traversal of tree-structured LSTM. To name a…

Machine Learning · Computer Science 2020-08-24 Ruo Ando , Yoshiyasu Takefuji

While most methods for solving mixed-integer optimization problems compute a single optimal solution, a diverse set of near-optimal solutions can often lead to improved outcomes. We present a new method for finding a set of diverse…

Discrete Mathematics · Computer Science 2023-02-09 Izuwa Ahanor , Hugh Medal , Andrew C. Trapp

Many applications log a large amount of events continuously. Extracting interesting knowledge from logged events is an emerging active research area in data mining. In this context, we propose an approach for mining frequent events and…

Databases · Computer Science 2011-10-17 Rashed Salem , Jérôme Darmont , Omar Boussaïd

We show that reconstructing a tree from order information on triples is NP-hard. This is in contrast to the case for ultra-metrics and for subtree information on quadruples which are both known to allow polynomial time reconstruction.

Combinatorics · Mathematics 2007-05-23 Eric Babson

This paper reports on the INRIA group's approach to XML mining while participating in the INEX XML Mining track 2005. We use a flexible representation of XML documents that allows taking into account the structure only or both the structure…

Information Retrieval · Computer Science 2007-05-23 Anne-Marie Vercoustre , Mounir Fegas , Saba Gul , Yves Lechevallier

Polytrees are a subclass of Bayesian networks that seek to capture the conditional dependencies between a set of $n$ variables as a directed forest and are motivated by their more efficient inference and improved interpretability. Since the…

Data Structures and Algorithms · Computer Science 2026-05-06 Juha Harviainen , Frank Sommer , Manuel Sorge

A tree decomposition of a graph facilitates computations by grouping vertices into bags that are interconnected in an acyclic structure, hence their importance in a plethora of problems such as query evaluation over databases and inference…

Data Structures and Algorithms · Computer Science 2018-10-09 Noam Ravid , Dori Medini , Benny Kimelfeld

Planning under resource constraints is central to real-world decision making, yet most large language model (LLM) planners assume uniform action costs. We systematically analyze whether tree-search LLM planners are cost-aware and whether…

Artificial Intelligence · Computer Science 2026-01-13 Zihao Zhang , Hui Wei , Kenan Jiang , Shijia Pan , Shu Kai , Fei Liu

In the standard trace reconstruction problem, the goal is to \emph{exactly} reconstruct an unknown source string $\mathsf{x} \in \{0,1\}^n$ from independent "traces", which are copies of $\mathsf{x}$ that have been corrupted by a…

Data Structures and Algorithms · Computer Science 2021-08-26 Xi Chen , Anindya De , Chin Ho Lee , Rocco A. Servedio , Sandip Sinha

We introduce a model for the retrieval of information hidden in legal texts. These are typically organised in a hierarchical (tree) structure, which a reader interested in a given provision needs to explore down to the "deepest" level…

Physics and Society · Physics 2024-09-17 Yanik-Pascal Förster , Alessia Annibale , Luca Gamberi , Evan Tzanis , Pierpaolo Vivo

Information retrieval is a core component of many intelligent systems as it enables conditioning of outputs on new and large-scale datasets. While effective, the standard practice of encoding data into high-dimensional representations for…

Information Retrieval · Computer Science 2026-02-16 Shubham Gupta , Zichao Li , Tianyi Chen , Cem Subakan , Siva Reddy , Perouz Taslakian , Valentina Zantedeschi

In real practice, questions are typically complex and knowledge-intensive, requiring Large Language Models (LLMs) to recognize the multifaceted nature of the question and reason across multiple information sources. Iterative and adaptive…

Computation and Language · Computer Science 2025-12-05 Boyi Zhang , Zhuo Liu , Hangfeng He

The eXtensible Markup Language (XML) provides a powerful and flexible means of encoding and exchanging data. As it turns out, its main advantage as an encoding format (namely, its requirement that all open and close markup tags are present…

Databases · Computer Science 2015-05-13 Gregory Leighton , Denilson Barbosa

This paper revisits cluster-based retrieval that partitions the inverted index into multiple groups and skips the index partially at cluster and document levels during online inference using a learned sparse representation. It proposes an…

Information Retrieval · Computer Science 2024-04-16 Yifan Qiao , Shanxiu He , Yingrui Yang , Parker Carlson , Tao Yang

In this paper, we address the problem of sampling from a set and reconstructing a set stored as a Bloom filter. To the best of our knowledge our work is the first to address this question. We introduce a novel hierarchical data structure…

Data Structures and Algorithms · Computer Science 2019-05-15 Neha Sengupta , Amitabha Bagchi , Srikanta Bedathur , Maya Ramanath