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Selective prediction, where a model has the option to abstain from making a decision, is crucial for machine learning applications in which mistakes are costly. In this work, we focus on distributional regression and introduce a framework…

Statistics Theory · Mathematics 2025-04-01 Ahmed Zaoui , Clément Dombry

Compositional Zero-Shot Learning (CZSL) aims to predict unknown compositions made up of attribute and object pairs. Predicting compositions unseen during training is a challenging task. We are exploring Open World Compositional Zero-Shot…

Computer Vision and Pattern Recognition · Computer Science 2024-07-19 Ans Munir , Faisal Z. Qureshi , Muhammad Haris Khan , Mohsen Ali

This paper proposes a general class of regression models for continuous proportions when the data contain zeros or ones. The proposed class of models assumes that the response variable has a mixed continuous-discrete distribution with…

Methodology · Statistics 2011-11-04 Raydonal Ospina , Silvia L. P. Ferrari

A recent original line of research in time--frequency analysis has shifted the interest in energy maxima toward zeros. Initially motivated by the intriguing uniform spread of the zeros of the spectrogram of white noise, it has led to…

Signal Processing · Electrical Eng. & Systems 2025-04-16 Ali Moukadem , Barbara Pascal , Jean-Baptiste Courbot , Nicolas Juillet

Semantically non-compositional phrases constitute an intriguing research topic in Natural Language Processing. Semantic non-compositionality --the situation when the meaning of a phrase cannot be derived from the meaning of its components,…

Computation and Language · Computer Science 2019-08-16 Meghdad Farahmand

Compositional data analysis is carried out either by neglecting the compositional constraint and applying standard multivariate data analysis, or by transforming the data using the logs of the ratios of the components. In this work we…

Methodology · Statistics 2011-06-17 Michail T. Tsagris , Simon Preston , Andrew T. A. Wood

Resolvent compositions were recently introduced as monotonicity-preserving operations that combine a set-valued monotone operator and a bounded linear operator. They generalize in particular the notion of a resolvent average. We analyze the…

Functional Analysis · Mathematics 2026-01-30 Diego J. Cornejo

In this paper we consider a Bayesian analysis of contingency tables allowing for the possibility that cells may have probability zero. In this sense we depart from standard log-linear modeling that implicitly assumes a positivity…

Statistics Theory · Mathematics 2007-06-13 Guido Consonni , Giovanni Pistone

Zero-shot audio classification aims to recognize and classify a sound class that the model has never seen during training. This paper presents a novel approach for zero-shot audio classification using automatically generated sound attribute…

Sound · Computer Science 2024-07-22 Xuenan Xu , Pingyue Zhang , Ming Yan , Ji Zhang , Mengyue Wu

In this paper we propose a non-metric ranking-based representation of semantic similarity that allows natural aggregation of semantic information from multiple heterogeneous sources. We apply the ranking-based representation to zero-shot…

Machine Learning · Computer Science 2015-03-02 Jihun Hamm , Mikhail Belkin

We develop a general framework for distribution-free predictive inference in regression, using conformal inference. The proposed methodology allows for the construction of a prediction band for the response variable using any estimator of…

Methodology · Statistics 2017-03-09 Jing Lei , Max G'Sell , Alessandro Rinaldo , Ryan J. Tibshirani , Larry Wasserman

The compositionality and sparsity of high-throughput sequencing data poses a challenge for regression and classification. However, in microbiome research in particular, conditional modeling is an essential tool to investigate relationships…

Machine Learning · Statistics 2023-07-19 Shimeng Huang , Elisabeth Ailer , Niki Kilbertus , Niklas Pfister

A brief proof of the statement that the zero-set of a nontrivial real-analytic function in $d$-dimensional space has zero measure is provided.

Classical Analysis and ODEs · Mathematics 2015-12-24 Boris Mityagin

In this paper, we introduce a novel method to generate interpretable regression function estimators. The idea is based on called data-dependent coverings. The aim is to extract from the data a covering of the feature space instead of a…

Statistics Theory · Mathematics 2021-01-27 Vincent Margot , Jean-Patrick Baudry , Frédéric Guilloux , Olivier Wintenberger

We propose Stein-type estimators for zero-inflated Bell regression models by incorporating information on model parameters. These estimators combine the advantages of unrestricted and restricted estimators. We derive the asymptotic…

Computation · Statistics 2024-03-04 Solmaz Seifollahi , Hossein Bevrani , Zakariya Yahya Algamal

Multilevel compositional data are data that are repeatedly measured or clustered within groups and are non-negative and sum to a constant value. These data arise in various settings, such as intensive, longitudinal studies using ecological…

Methodology · Statistics 2025-02-21 Flora Le , Tyman E. Stanford , Dorothea Dumuid , Joshua F. Wiley

We derive a large deviation principle for the empirical measure of zeros of random polynomials with i.i.d. exponential coefficients.

Probability · Mathematics 2015-05-26 Subhro Ghosh , Ofer Zeitouni

Prior proposals for cumulative statistics suggest making tiny random perturbations to the scores (independent variables in a regression) in order to ensure the scores' uniqueness. Uniqueness means that no score for any member of the…

Methodology · Statistics 2022-08-23 Mark Tygert

The paper suggests a frequency criterion of error-free recoverability of a missing value for sequences, i.e. discrete time processes, in a pathwise setting without probabilistic assumptions. The paper establishes error-free recoverability…

Information Theory · Computer Science 2018-09-19 Nikolai Dokuchaev

High-dimensional compositional data are commonplace in the modern omics sciences amongst others. Analysis of compositional data requires a proper choice of orthonormal coordinate representation as their relative nature is not compatible…