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In this paper we consider a scenario where there are several algorithms for solving a given problem. Each algorithm is associated with a probability of success and a cost, and there is also a penalty for failing to solve the problem. The…

Data Structures and Algorithms · Computer Science 2020-08-11 Shlomo Moran , Irad Yavneh

One of the biggest problems with the Internet technology is the unwanted spam emails. The well disguised phishing email comes in as part of the spam and makes its entry into the inbox quite frequently nowadays. While phishing is normally…

Cryptography and Security · Computer Science 2014-10-20 B. Issac , R. Chiong , S. M. Jacob

This is a survey paper on Poisson approximation using Stein's method of exchangeable pairs. We illustrate using Poisson-binomial trials and many variations on three classical problems of combinatorial probability: the matching problem, the…

Probability · Mathematics 2007-05-23 Sourav Chatterjee , Persi Diaconis , Elizabeth Meckes

I present a fairly detailed discussion of various contributions to the anomalous magnetic moment of the muon a_mu. I try to give an unbiased evaluation of the validity of the SM prediction for this quantity and to point out some delicate…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kirill Melnikov

In coin tossing two remote participants want to share a uniformly distributed random bit. At the least in the quantum version, each participant test whether or not the other has attempted to create a bias on this bit. It is requested that,…

Quantum Physics · Physics 2018-02-28 Dominic Mayers , Louis Salvail , Yoshie Chiba-Kohno

A variant of the well-known Set Covering Problem is studied in this paper, where subsets of a collection have to be selected, and pairwise conflicts among subsets of items exist. The selection of each subset has a cost, and the inclusion of…

Optimization and Control · Mathematics 2025-04-22 Roberto Montemanni , Derek H. Smith

Preventing data exfiltration from computer systems typically depends on perimeter defences, but these are becoming increasingly fragile. Instead we suggest an approach in which each at-risk document is supplemented by many fake versions of…

Cryptography and Security · Computer Science 2018-09-14 David Skillicorn , Xiao Li , Karen Chen

We present three very simple variants of the classic Heads or Tails game using chips, each of which contributes to our understanding of the Bitcoin protocol. The first variant addresses the issue of temporary Bitcoin forks, which occur when…

Cryptography and Security · Computer Science 2024-05-08 Cyril Grunspan , Ricardo Perez-Marco

BitCoin transactions are malleable in a sense that given a transaction an adversary can easily construct an equivalent transaction which has a different hash. This can pose a serious problem in some BitCoin distributed contracts in which…

Cryptography and Security · Computer Science 2013-12-12 Marcin Andrychowicz , Stefan Dziembowski , Daniel Malinowski , Łukasz Mazurek

Given two sets of data which lead to a similar statistical conclusion, the Simpson Paradox describes the tactic of combining these two sets and achieving the opposite conclusion. Depending upon the given data, this may or may not succeed.…

Applications · Statistics 2008-01-30 Ora E. Percus , Jerome K. Percus

This paper introduces a strategy in the two envelopes problem that utilizes the prior beliefs of two players about the amount of money that their envelopes can contain. This strategy gives them more information about the decision of…

History and Overview · Mathematics 2015-02-24 Panagiotis Tsikogiannopoulos

Parsons problems are a type of programming activity that present learners with blocks of existing code and requiring them to arrange those blocks to form a program rather than write the code from scratch. Micro Parsons problems extend this…

Human-Computer Interaction · Computer Science 2024-05-31 Zihan Wu , David H. Smith

Consider the coupon collector problem where each box of a brand of cereal contains a coupon and there are n different types of coupons. Suppose that the probability of a box containing a coupon of a specific type is $1/n$ and that we keep…

Probability · Mathematics 2022-06-13 J. C. Saunders

We consider a generalisation of the classical coupon collector's problem, in which at each time step a collector either receives a new copy of a randomly chosen coupon, or loses all their previously collected copies of that coupon. We…

Probability · Mathematics 2026-05-15 Luke J. Attrill , Timothy M. Garoni

We show that a simple eavesdropper listening in on classical communication between potentially entangled quantum parties will eventually be able to impersonate any of the parties. Furthermore, the attack is efficient if one-way puzzles do…

Quantum Physics · Physics 2026-01-06 Luowen Qian , Mark Zhandry

Quantum money is a cryptographic protocol in which a mint can produce a quantum state, no one else can copy the state, and anyone (with a quantum computer) can verify that the state came from the mint. We present a concrete quantum money…

Quantum Physics · Physics 2010-04-30 Edward Farhi , David Gosset , Avinatan Hassidim , Andrew Lutomirski , Peter Shor

Itemset mining is one of the most studied tasks in knowledge discovery. In this paper we analyze the computational complexity of three central itemset mining problems. We prove that mining confident rules with a given item in the head is…

Databases · Computer Science 2020-12-09 Christian Bessiere , Mohamed-Bachir Belaid , Nadjib Lazaar

A simple computer-based algorithm has been developed to identify pre-modern coins minted from the same dies, intending mainly coins minted by hand-made dies designed to be applicable to images taken from auction websites or catalogs. Though…

Data Analysis, Statistics and Probability · Physics 2019-07-05 Luca Lista

Faced with a sequence of N binary events, such as coin flips (or Ising spins), it is natural to ask whether these events reflect some underlying dynamic signals or are just random. Plausible models for the dynamics of hidden biases lead to…

Neurons and Cognition · Quantitative Biology 2007-05-23 William Bialek

This paper collects polynomial Diophantine equations that are simple to state but apparently difficult to solve.

General Mathematics · Mathematics 2026-05-26 Bogdan Grechuk