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Recently we have presented the analytical relationship between choice probabilities, noise correlations and read-out weights in the classical feedforward decision-making framework (Haefner et al. 2013). The derivation assumed that…

Neurons and Cognition · Quantitative Biology 2015-01-15 Ralf M. Haefner

The problem of pattern selection arises when the evolution equations have many solutions, whereas observed patterns constitute a much more restricted set. An approach is advanced for treating the problem of pattern selection by defining the…

Condensed Matter · Physics 2009-11-07 V. I. Yukalov

We propose a model to tackle classification tasks in the presence of very little training data. To this aim, we approximate the notion of exact match with a theoretically sound mechanism that computes a probability of matching in the input…

We develop a novel mathematical programming approximation framework to tackle the stochastic knapsack problem. In this problem, the decision maker considers items for which either weights or values, or both, are random. The aim is to select…

Optimization and Control · Mathematics 2025-12-18 Roberto Rossi , Steven D. Prestwich , S. Armagan Tarim

Data collection in economically constrained countries often necessitates using approximate and biased measurements due to the low-cost of the sensors used. This leads to potentially invalid predictions and poor policies or decision making.…

Machine Learning · Computer Science 2019-12-02 Michael T. Smith , Joel Ssematimba , Mauricio A. Alvarez , Engineer Bainomugisha

In this work, we propose a theory for information matching. It is motivated by the observation that retrieval is about the relevance matching between two sets of properties (features), namely, the information need representation and…

Information Retrieval · Computer Science 2012-06-04 Jagadeesh Gorla , Stephen Robertson , Jun Wang , Tamas Jambor

This paper examines the classical matching distribution arising in the "problem of coincidences". We generalise the classical matching distribution with a preliminary round of allocation where items are correctly matched with some fixed…

Other Statistics · Statistics 2021-12-24 Ben O'Neill

Probability forecasting is common in the geosciences, the finance sector, and elsewhere. It is sometimes the case that one has multiple probability-forecasts for the same target. How is the information in these multiple forecast systems…

Methodology · Statistics 2016-03-02 Sarah Higgins , Hailiang Du , Leonard A. Smith

The aim of this work is to propose a meta-algorithm for automatic classification in the presence of discrete binary classes. Classifier learning in the presence of overlapping class distributions is a challenging problem in machine…

Machine Learning · Statistics 2020-01-22 Vidhi Lalchand

Conformal prediction is a statistical framework that generates prediction sets containing ground-truth labels with a desired coverage guarantee. The predicted probabilities produced by machine learning models are generally miscalibrated,…

Machine Learning · Computer Science 2024-06-07 Jianguo Huang , Huajun Xi , Linjun Zhang , Huaxiu Yao , Yue Qiu , Hongxin Wei

Several studies point out different causes of performance degradation in supervised machine learning. Problems such as class imbalance, overlapping, small-disjuncts, noisy labels, and sparseness limit accuracy in classification algorithms.…

Machine Learning · Computer Science 2020-04-17 Gustavo A. Valencia-Zapata , Carolina Gonzalez-Canas , Michael G. Zentner , Okan Ersoy , Gerhard Klimeck

Object cross-identification in multiple observations is often complicated by the uncertainties in their astrometric calibration. Due to the lack of standard reference objects, an image with a small field of view can have significantly…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 Tamas Budavari , Stephen H. Lubow

Probabilistic Answer Set Programming under the credal semantics (PASP) extends Answer Set Programming with probabilistic facts that represent uncertain information. The probabilistic facts are discrete with Bernoulli distributions. However,…

Artificial Intelligence · Computer Science 2025-02-19 Damiano Azzolini , Fabrizio Riguzzi

We here introduce a novel classification approach adopted from the nonlinear model identification framework, which jointly addresses the feature selection and classifier design tasks. The classifier is constructed as a polynomial expansion…

Machine Learning · Computer Science 2016-07-29 Aida Brankovic , Alessandro Falsone , Maria Prandini , Luigi Piroddi

Predicting the subcellular localization of proteins is an important and challenging problem. Traditional experimental approaches are often expensive and time-consuming. Consequently, a growing number of research efforts employ a series of…

Machine Learning · Computer Science 2017-04-19 Shixiang Wan , Quan Zou

In this paper, we present a local information theoretic approach to explicitly learn probabilistic clustering of a discrete random variable. Our formulation yields a convex maximization problem for which it is NP-hard to find the global…

Machine Learning · Computer Science 2018-10-12 David Qiu , Anuran Makur , Lizhong Zheng

Probabilistic programming is related to a compositional approach to stochastic modeling by switching from discrete to continuous time dynamics. In continuous time, an operator-algebra semantics is available in which processes proceeding in…

Artificial Intelligence · Computer Science 2012-12-05 Eric Mjolsness

In this paper we address the problem of using one probability space for estimating parameters and predicting future data when the observed data come from multiple contexts and thus from distinct spaces. We explain that a set-based…

Quantum Physics · Physics 2017-10-30 Massimo Melucci

We lay the foundations of a statistical framework for multi-catalogue cross-correlation and cross-identification based on explicit simplified catalogue models. A proper identification process should rely on both astrometric and photometric…

Instrumentation and Methods for Astrophysics · Physics 2017-01-11 F. -X. Pineau , S. Derriere , C. Motch , F. J. Carrera , F. Genova , L. Michel , B. Mingo , A. Mints , A. Nebot Gómez-Morán , S. R. Rosen , A. Ruiz Camuñas

Classification is a vital tool that is important for modelling many complex numerical models. A model or system may be such that, for certain areas of input space, the output either does not exist, or is not in a quantifiable form. Here, we…

Methodology · Statistics 2020-02-04 Louise Kimpton , Peter Challenor , Daniel Williamson