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Binary classification is widely used in ML production systems. Monitoring classifiers in a constrained event space is well known. However, real world production systems often lack the ground truth these methods require. Privacy concerns may…

In various situations one is given only the predictions of multiple classifiers over a large unlabeled test data. This scenario raises the following questions: Without any labeled data and without any a-priori knowledge about the…

Machine Learning · Statistics 2014-10-31 Ariel Jaffe , Boaz Nadler , Yuval Kluger

The effectiveness of binary analysis tools and techniques is often measured with respect to how well they map to a ground truth. We have found that not all ground truths are created equal. This paper challenges the binary analysis community…

Cryptography and Security · Computer Science 2022-10-28 Jim Alves-Foss , Varsah Venugopal

The evaluation of noisy binary classifiers on unlabeled data is treated as a streaming task: given a data sketch of the decisions by an ensemble, estimate the true prevalence of the labels as well as each classifier's accuracy on them. Two…

Machine Learning · Statistics 2023-09-11 Andrés Corrada-Emmanuel

We consider the following problem: given the weights of two models, can we test whether they were trained independently -- i.e., from independent random initializations? We consider two settings: constrained and unconstrained. In the…

Machine Learning · Computer Science 2025-03-13 Sally Zhu , Ahmed Ahmed , Rohith Kuditipudi , Percy Liang

We consider the problem of whether a given decision model, working with structured data, has individual fairness. Following the work of Dwork, a model is individually biased (or unfair) if there is a pair of valid inputs which are close to…

Machine Learning · Computer Science 2020-06-23 Philips George John , Deepak Vijaykeerthy , Diptikalyan Saha

Algebraic independence is an advanced notion in commutative algebra that generalizes independence of linear polynomials to higher degree. Polynomials {f_1, ..., f_m} \subset \F[x_1, ..., x_n] are called algebraically independent if there is…

Computational Complexity · Computer Science 2011-02-15 Malte Beecken , Johannes Mittmann , Nitin Saxena

We wish to test whether a real-valued variable $Z$ has explanatory power, in addition to a multivariate variable $X$, for a binary variable $Y$. Thus, we are interested in testing the hypothesis $\mathbb{P}(Y=1\, | \, X,Z)=\mathbb{P}(Y=1\,…

Methodology · Statistics 2025-12-23 John H. J. Einmahl , Denis Kojevnikov , Bas J. M. Werker

In hypothesis testing problems the property of strict unbiasedness describes whether a test is able to discriminate, in the sense of a difference in power, between any distribution in the null hypothesis space and any distribution in the…

Statistics Theory · Mathematics 2025-06-11 Andrew McCormack

Rule based classifiers that use the presence and absence of key sub-strings to make classification decisions have a natural mechanism for quantifying the uncertainty of their precision. For a binary classifier, the key insight is to treat…

Machine Learning · Computer Science 2020-05-20 James Nutaro , Ozgur Ozmen

A distributed binary hypothesis testing problem is studied with one observer and two decision centers. Achievable type-II error exponents are derived for testing against conditional independence when the observer communicates with the two…

Information Theory · Computer Science 2020-01-24 Sadaf Salehkalaibar , Michele Wigger , Roy Timo

In order to better understand the structure of classical rings of invariants for binary forms, Dixmier proposed, as a conjectural homogeneous system of parameters, an explicit collection of invariants previously studied by Hilbert. We…

Representation Theory · Mathematics 2019-11-18 Abdelmalek Abdesselam

Many binary classification problems minimize misclassification above (or below) a threshold. We show that instances of ranking problems, accuracy at the top or hypothesis testing may be written in this form. We propose a general framework…

Machine Learning · Computer Science 2020-02-26 Lukáš Adam , Václav Mácha , Václav Šmídl , Tomáš Pevný

Using ideas from automata theory we design a new efficient (deterministic) identity test for the \emph{noncommutative} polynomial identity testing problem (first introduced and studied in \cite{RS05,BW05}). We also apply this idea to the…

Computational Complexity · Computer Science 2008-01-04 V. Arvind , Partha Mukhopadhyay , Srikanth Srinivasan

We study the problem of fair binary classification using the notion of Equal Opportunity. It requires the true positive rate to distribute equally across the sensitive groups. Within this setting we show that the fair optimal classifier is…

Statistics Theory · Mathematics 2020-02-05 Evgenii Chzhen , Christophe Denis , Mohamed Hebiri , Luca Oneto , Massimiliano Pontil

Binary classification is a task that involves the classification of data into one of two distinct classes. It is widely utilized in various fields. However, conventional classifiers tend to make overconfident predictions for data that…

Machine Learning · Computer Science 2025-03-13 Shoma Yokura , Akihisa Ichiki

An open problem in the theory of inverse semigroups was whether the variety of such semigroups, when viewed as algebras with a binary operation and a unary operation, is 2-based, that is, has a base for its identities consisting of 2…

Group Theory · Mathematics 2012-10-12 Joao Araujo , Michael Kinyon , R. Padmanabhan

In a broad range of classification and decision making problems, one is given the advice or predictions of several classifiers, of unknown reliability, over multiple questions or queries. This scenario is different from the standard…

Machine Learning · Statistics 2014-02-07 Fabio Parisi , Francesco Strino , Boaz Nadler , Yuval Kluger

Medical researchers have solved the problem of estimating the sensitivity and specificity of binary medical diagnostic tests without gold standard tests for comparison. That problem is the same as estimating confusion matrices for…

Machine Learning · Statistics 2022-12-29 Richard Evans

This paper analyzes the eigenvalue distribution of neutral differential systems and the corresponding difference systems, and establishes the relationship between the eigenvalue distribution and delay-independent stability of neutral…

Dynamical Systems · Mathematics 2007-05-23 Ping Wei , Qiang Guan , Wensheng Yu , Long Wang
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