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Label Ranking (LR) corresponds to the problem of learning a hypothesis that maps features to rankings over a finite set of labels. We adopt a nonparametric regression approach to LR and obtain theoretical performance guarantees for this…

Machine Learning · Computer Science 2022-02-11 Dimitris Fotakis , Alkis Kalavasis , Eleni Psaroudaki

A complementary label (CL) simply indicates an incorrect class of an example, but learning with CLs results in multi-class classifiers that can predict the correct class. Unfortunately, the problem setting only allows a single CL for each…

Machine Learning · Computer Science 2022-08-09 Lei Feng , Takuo Kaneko , Bo Han , Gang Niu , Bo An , Masashi Sugiyama

Large language models are increasingly deployed in settings where reliability matters, yet output-level uncertainty signals such as token probabilities, entropy, and self-consistency can become brittle under calibration--deployment…

Computation and Language · Computer Science 2026-04-20 Yanli Wang , Peng Kuang , Xiaoyu Han , Kaidi Xu , Haohan Wang

Learning with Label Proportions (LLP) is the problem of recovering the underlying true labels given a dataset when the data is presented in the form of bags. This paradigm is particularly suitable in contexts where providing individual…

Machine Learning · Computer Science 2018-10-25 Rafael Poyiadzi , Raul Santos-Rodriguez , Niall Twomey

We study the growth of degrees in many autonomous and non-autonomous lattice equations defined by quad rules with corner boundary values, some of which are known to be integrable by other characterisations. Subject to an enabling…

Exactly Solvable and Integrable Systems · Physics 2017-03-06 John A. G. Roberts , Dinh T. Tran

We analyze the interplay between labeled trees and the ultrametric spaces they present. We provide characterizations of labeled trees that generate separable ultrametric spaces and those that generate locally finite ultrametric spaces. In…

General Topology · Mathematics 2025-06-10 Oleksiy Dovgoshey , Olga Rovenska

The limited penetrable horizontal visibility algorithm is a new time analysis tool and is a further development of the horizontal visibility algorithm. We present some exact results on the topological properties of the limited penetrable…

We study ELI queries (ELIQs) in the presence of ontologies formulated in the description logic DL-Lite. For the dialect DL-LiteH, we show that ELIQs have a frontier (set of least general generalizations) that is of polynomial size and can…

Artificial Intelligence · Computer Science 2022-05-02 Maurice Funk , Jean Christoph Jung , Carsten Lutz

We study the extreme local structure of plane binary trees through the distribution of leaves at maximum depth. We first address two basic questions: (i) the asymptotic probability that exactly two leaves occur at the deepest level, and…

Combinatorics · Mathematics 2026-05-14 Olivier Bodini , Antoine Genitrini , Khaydar Nurligareev

We revisit the use of probabilistic values, which include the well-known Shapley and Banzhaf values, to rank features for explaining the local predicted values of decision trees. The quality of feature rankings is typically assessed with…

Machine Learning · Computer Science 2026-04-22 Weida Li , Yaoliang Yu , Bryan Kian Hsiang Low

For a fixed set ${\cal H}$ of graphs, a graph $G$ is ${\cal H}$-subgraph-free if $G$ does not contain any $H \in {\cal H}$ as a (not necessarily induced) subgraph. A recently proposed framework gives a complete classification on ${\cal…

Discrete Mathematics · Computer Science 2024-05-07 Vadim Lozin , Barnaby Martin , Sukanya Pandey , Daniel Paulusma , Mark Siggers , Siani Smith , Erik Jan van Leeuwen

Promise CSPs are a relaxation of constraint satisfaction problems where the goal is to find an assignment satisfying a relaxed version of the constraints. Several well-known problems can be cast as promise CSPs including approximate graph…

Computational Complexity · Computer Science 2018-07-16 Joshua Brakensiek , Venkatesan Guruswami

A tight criterion under which the abstract version Lov\'asz Local Lemma (abstract-LLL) holds was given by Shearer decades ago. However, little is known about that of the variable version LLL (variable-LLL) where events are generated by…

Discrete Mathematics · Computer Science 2017-09-18 Kun He , Liang Li , Xingwu Liu , Yuyi Wang , Mingji Xia

There is a growing body of work on proving hardness results for average-case estimation problems by bounding the low-degree advantage (LDA) - a quantitative estimate of the closeness of low-degree moments - between a null distribution and a…

Computational Complexity · Computer Science 2025-05-26 Rares-Darius Buhai , Jun-Ting Hsieh , Aayush Jain , Pravesh K. Kothari

Limits of graphs were initiated recently in the two extreme contexts of dense and bounded degree graphs. This led to elegant limiting structures called graphons and graphings. These approach have been unified and generalized by authors in a…

Combinatorics · Mathematics 2013-12-03 Jaroslav Nesetril , Patrice Ossona De Mendez

Labelled Markov chains (LMCs) are widely used in probabilistic verification, speech recognition, computational biology, and many other fields. Checking two LMCs for equivalence is a classical problem subject to extensive studies, while the…

Logic in Computer Science · Computer Science 2014-05-16 Taolue Chen , Stefan Kiefer

Parameterized complexity seeks to use input structure to obtain faster algorithms for NP-hard problems. This has been most successful for graphs of low treewidth: Many problems admit fast algorithms relative to treewidth and many of them…

Computational Complexity · Computer Science 2022-12-20 Falko Hegerfeld , Stefan Kratsch

Label tree-based algorithms are widely used to tackle multi-class and multi-label problems with a large number of labels. We focus on a particular subclass of these algorithms that use probabilistic classifiers in the tree nodes. Examples…

Suffix trees are an important data structure at the core of optimal solutions to many fundamental string problems, such as exact pattern matching, longest common substring, matching statistics, and longest repeated substring. Recent lines…

Data Structures and Algorithms · Computer Science 2022-08-31 Nicola Rizzo , Alexandru I. Tomescu , Alberto Policriti

Complex textual information extraction tasks are often posed as sequence labeling or \emph{shallow parsing}, where fields are extracted using local labels made consistent through probabilistic inference in a graphical model with constrained…

Machine Learning · Computer Science 2018-10-01 Dung Thai , Sree Harsha Ramesh , Shikhar Murty , Luke Vilnis , Andrew McCallum
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