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The description complexity of a model is the length of the shortest formula that defines the model. We study the description complexity of unary structures in first-order logic FO, also drawing links to semantic complexity in the form of…

逻辑 · 数学 2024-09-27 Reijo Jaakkola , Antti Kuusisto , Miikka Vilander

Taxonomies are fundamental to many real-world applications in various domains, serving as structural representations of knowledge. To deal with the increasing volume of new concepts needed to be organized as taxonomies, researchers turn to…

计算与语言 · 计算机科学 2022-02-11 Minhao Jiang , Xiangchen Song , Jieyu Zhang , Jiawei Han

BERT based ranking models have achieved superior performance on various information retrieval tasks. However, the large number of parameters and complex self-attention operation come at a significant latency overhead. To remedy this, recent…

信息检索 · 计算机科学 2021-10-06 Nachshon Cohen , Amit Portnoy , Besnik Fetahu , Amir Ingber

Search engine results pages are usually abstracted as binary relevance vectors and hence are categorical data, meaning that only a limited set of operations is permitted, most notably tabulation of occurrence frequencies, with determination…

信息检索 · 计算机科学 2023-12-21 Alistair Moffat

The exponential growth of textual data presents substantial challenges in management and analysis, notably due to high storage and processing costs. Text classification, a vital aspect of text mining, provides robust solutions by enabling…

计算与语言 · 计算机科学 2025-01-22 Kamal Taha , Paul D. Yoo , Chan Yeun , Aya Taha

Compositionality in language refers to how much the meaning of some phrase can be decomposed into the meaning of its constituents and the way these constituents are combined. Based on the premise that substitution by synonyms is…

计算与语言 · 计算机科学 2017-03-13 Christina Lioma , Niels Dalum Hansen

We study the problem of supporting queries on a string $S$ of length $n$ within a space bounded by the size $\gamma$ of a string attractor for $S$. Recent works showed that random access on $S$ can be supported in optimal…

数据结构与算法 · 计算机科学 2018-12-24 Nicola Prezza

Nonparametric rank tests for homogeneity and component independence are proposed, which are based on data compressors. For homogeneity testing the idea is to compress the binary string obtained by ordering the two joint samples and writing…

数据结构与算法 · 计算机科学 2012-02-28 Daniil Ryabko , Juergen Schmidhuber

There is a class of entropy-coding methods which do not substitute symbols by code words (such as Huffman coding), but operate on intervals or ranges. This class includes three prominent members: conventional arithmetic coding, range…

信息论 · 计算机科学 2025-07-04 Tilo Strutz , Nico Schreiber

Suppose we are asked to preprocess a string \(s [1..n]\) such that later, given a substring's endpoints, we can quickly count how many distinct characters it contains. In this paper we give a data structure for this problem that takes \(n…

数据结构与算法 · 计算机科学 2010-11-16 Travis Gagie , Juha Kärkkäinen

We consider succinct data structures for representing a set of $n$ horizontal line segments in the plane given in rank space to support \emph{segment access}, \emph{segment selection}, and \emph{segment rank} queries. A segment access query…

数据结构与算法 · 计算机科学 2024-12-09 Philip Bille , Inge Li Gørtz , Simon R. Tarnow

Here we deconstruct, and then in a reasoned way reconstruct, the concept of "entropy of a system," paying particular attention to where the randomness may be coming from. We start with the core concept of entropy as a COUNT associated with…

综合物理 · 物理学 2017-05-10 Tommaso Toffoli

This paper studies the \emph{subset sampling} problem. The input is a set $\mathcal{S}$ of $n$ records together with a function $\textbf{p}$ that assigns each record $v\in\mathcal{S}$ a probability $\textbf{p}(v)$. A query returns a random…

数据结构与算法 · 计算机科学 2023-07-24 Jinchao Huang , Sibo Wang

Listwise learning-to-rank methods form a powerful class of ranking algorithms that are widely adopted in applications such as information retrieval. These algorithms learn to rank a set of items by optimizing a loss that is a function of…

机器学习 · 计算机科学 2021-02-08 Sebastian Bruch

Whereas for strings, higher-order empirical entropy is the standard entropy measure, several different notions of empirical entropy for trees have been proposed in the past, notably label entropy, degree entropy, conditional versions of the…

信息论 · 计算机科学 2020-06-03 Danny Hucke , Markus Lohrey , Louisa Seelbach Benkner

This paper addresses the challenge of identifying a minimal subset of discrete, independent variables that best predicts a binary class. We propose an efficient iterative method that sequentially selects variables based on which one…

统计计算 · 统计学 2025-11-03 María del Carmen Romero , Mariana del Fresno , Alejandro Clausse

There is both theoretical and numerical evidence that the set of irreducible representations of a reductive group over local or finite fields is naturally partitioned into families according to analytic properties of representations.…

表示论 · 数学 2021-05-25 Shamgar Gurevich , Roger Howe

Speech recognisers usually perform optimally only in a specific environment and need to be adapted to work well in another. For adaptation to a new speaker, there is often too little data for fine-tuning to be robust, and that data is…

音频与语音处理 · 电气工程与系统科学 2025-06-13 Rogier C. van Dalen , Shucong Zhang , Titouan Parcollet , Sourav Bhattacharya

Word Embeddings are used widely in multiple Natural Language Processing (NLP) applications. They are coordinates associated with each word in a dictionary, inferred from statistical properties of these words in a large corpus. In this paper…

计算与语言 · 计算机科学 2020-06-18 Adam Sutton , Nello Cristianini

We consider the problem of summarizing a multi set of elements in $\{1, 2, \ldots , n\}$ under the constraint that no element appears more than $\ell$ times. The goal is then to answer \emph{rank} queries --- given $i\in\{1, 2, \ldots ,…

数据结构与算法 · 计算机科学 2017-04-26 Ran Ben Basat