activity
20122026
most citedA short note on Jacobsthal's function

2 citations · 5 across the 12 of their papers we have counts for

collaborators

13 papers

cs.CR2026

Stickel-type key exchange with hidden subspaces

Fintan Costello, Paul Watts

We give a witness-finding cryptanalysis of Stickel-type key exchange schemes, which involve two-sided multiplication of matrices over , where these matri…

cs.LG2026

Towards Provably Fair Machine Learning: Bayesian Approaches For Consistent and Transparent Predictions

Owen O'Neill, Fintan Costello

ML classifiers deployed in high-stakes domains produce predictions whose quality varies systematically across subgroups. For granular subgroups defined by intersections of multiple…

cs.LG2023

Systematic Bias in Sample Inference and its Effect on Machine Learning

Owen O'Neill, Fintan Costello

A commonly observed pattern in machine learning models is an underprediction of the target feature, with the model's predicted target rate for members of a given category typically…

hep-ex2023

Underestimating the uncertainty of aggregated results: the case of W-Boson mass

Fintan Costello, Paul Watts

Estimates of uncertainty or variance in experimental means are central to physics. This is especially the case for `world averages' of fundamental physical parameters in particle p…

math.ST2022

Why bother with Bayesian t-tests?

Fintan Costello, Paul Watts

Given the well-known and fundamental problems with hypothesis testing via classical (point-form) significance tests, there has been a general move to alternative approaches, often…

stat.ME2022★ 1 cited

How to Tell When a Result Will Replicate: Significance and Replication in Distributional Null Hypothesis Tests

Fintan Costello, Paul Watts

There is a well-known problem in Null Hypothesis Significance Testing: many statistically significant results fail to replicate in subsequent experiments. We show that this problem…

q-bio.PE2022

Homeostatic behavioural response to COVID-19 infections returns R to a set-point of 1

Fintan Costello, Paul Watts, Rita Howe

One clear aspect of behaviour in the COVID-19 pandemic has been people's focus on, and response to, reported or observed infection numbers in their community. We describe a simple…

stat.ME2020

Significance and Replication in simple counting experiments: Distributional Null Hypothesis Testing

Fintan Costello, Paul Watts

Null Hypothesis Significance Testing (NHST) has long been of central importance to psychology as a science, guiding theory development and underlying the application of evidence-ba…

stat.ME2020

Distributional Null Hypothesis Testing with the T distribution

Fintan Costello, Paul Watts

Null Hypothesis Significance Testing (NHST) has long been central to the scientific project, guiding theory development and supporting evidence-based intervention and decision-maki…

math.NT2013★ 2 cited

A short note on Jacobsthal's function

Fintan Costello, Paul Watts

The function g(n) represents the smallest number Q such that every sequence of Q consecutive integers contains an integer coprime to n. We give a new and explicit upper bound on th…

physics.data-an2012

Surprisingly Rational: Probability theory plus noise explains biases in judgment

Fintan Costello, Paul Watts

The systematic biases seen in people's probability judgments are typically taken as evidence that people do not reason about probability using the rules of probability theory, but…

math.NT2012

Jacobsthal's function and a generalisation of Euler's totient

Fintan Costello, Paul Watts

Jacobsthal's function h(k) represents the smallest number m such that every sequence of m consecutive integers contains an integer coprime to P_k, the product of the first k primes…

math.NT2012★ 2 cited

A computational upper bound on Jacobsthal's function

Fintan Costello, Paul Watts

The function h(k) represents the smallest number m such that every sequence of m consecutive integers contains an integer coprime to the first k primes. We give a new computational…