Bounds and Algorithms for Alphabetic Codes and Binary Search Trees

R Bruno, R De Prisco, A De Santis… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Alphabetic codes and binary search trees are combinatorial structures that abstract search
procedures in ordered sets endowed with probability distributions. In this paper, we design …

An efficient noisy binary search in graphs via median approximation

D Dereniowski, A Łukasiewicz, P Uznański - … , ON, Canada, July 5–7, 2021 …, 2021 - Springer
Consider a generalization of the classical binary search problem in linearly sorted data to
the graph-theoretic setting. The goal is to design an adaptive query algorithm, called a …

Designing optimal binary rating systems

N Garg, R Johari - The 22nd International Conference on …, 2019 - proceedings.mlr.press
Modern online platforms rely on effective rating systems to learn about items. We consider
the optimal design of rating systems that collect binary feedback after transactions. We make …

User-driven toponym disambiguation using dialogue

M Muroň, F Dařena, D Procházka… - Journal of Map & …, 2023 - Taylor & Francis
The paper presents a novel method for processing information with a spatial component or
querying geospatial databases. It proposes an interactive toponym disambiguation method …

Edge and Pair Queries--Random Graphs and Complexity

D Dereniowski, P Gordinowicz, P Prałat - arxiv preprint arxiv:2203.06006, 2022 - arxiv.org
We investigate two types of query games played on a graph, pair queries and edge queries.
We concentrate on investigating the two associated graph parameters for binomial random …

The entropy of lies: playing twenty questions with a liar

Y Dagan, Y Filmus, D Kane, S Moran - arxiv preprint arxiv:1811.02177, 2018 - arxiv.org
Twenty questions' is a guessing game played by two players: Bob thinks of an integer
between $1 $ and $ n $, and Alice's goal is to recover it using a minimal number of Yes/No …

On the cost of unsuccessful searches in search trees with two-way comparisons

M Chrobak, M Golin, JI Munro, NE Young - Information and Computation, 2021 - Elsevier
Search trees are commonly used to implement access operations to a set of stored keys. If
this set is static and the probabilities of membership queries are known in advance, then one …

Nearly tight bounds for discrete search under outlier noise

A De, S Khanna, H Li, H Nikpey - Symposium on Simplicity in Algorithms …, 2022 - SIAM
Binary search is one of the most fundamental search routines, exploiting the hidden
structure of the search space. In particular, it cuts down exponentially on the complexity of …

Classification via Two-Way Comparisons (Extended Abstract)

M Chrobak, NE Young - Algorithms and Data Structures Symposium, 2023 - Springer
Given a weighted, ordered query set Q and a partition of Q into classes, we study the
problem of computing a minimum-cost decision tree that, given any query q∈ Q, uses …

On D-ary Fano Codes

F Cicalese, E Rossi - 2020 IEEE International Symposium on …, 2020 - ieeexplore.ieee.org
We define a D-ary Fano code based on a natural generalization of the splitting criterion of
the binary Fano code to the case of D-ary code. We show that this choice allows for an …