Bounds and Algorithms for Alphabetic Codes and Binary Search Trees
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 …
procedures in ordered sets endowed with probability distributions. In this paper, we design …
An efficient noisy binary search in graphs via median approximation
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 …
the graph-theoretic setting. The goal is to design an adaptive query algorithm, called a …
Designing optimal binary rating systems
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 …
the optimal design of rating systems that collect binary feedback after transactions. We make …
User-driven toponym disambiguation using dialogue
The paper presents a novel method for processing information with a spatial component or
querying geospatial databases. It proposes an interactive toponym disambiguation method …
querying geospatial databases. It proposes an interactive toponym disambiguation method …
Edge and Pair Queries--Random Graphs and Complexity
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 …
We concentrate on investigating the two associated graph parameters for binomial random …
The entropy of lies: playing twenty questions with a liar
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 …
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
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 …
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
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 …
structure of the search space. In particular, it cuts down exponentially on the complexity of …
Classification via Two-Way Comparisons (Extended Abstract)
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 …
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 …
the binary Fano code to the case of D-ary code. We show that this choice allows for an …