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Algorithms of inference in a computer system oriented to input and semantic processing of text information are presented. Such inference is necessary for logical questions when the direct comparison of objects from a question and database…

Computation and Language · Computer Science 2012-02-02 Yuriy Ostapov

Probabilities in the multiverse can be calculated by assuming that we are typical representatives in a given reference class. But is this class well defined? What should be included in the ensemble in which we are supposed to be typical?…

High Energy Physics - Theory · Physics 2008-11-26 Jaume Garriga , Alexander Vilenkin

We address the observability problem for ensembles that are described by probability distributions. The problem is to reconstruct a probability distribution of the initial state from the time-evolution of the probability distribution of the…

Optimization and Control · Mathematics 2015-07-09 Shen Zeng , Steffen Waldherr , Christian Ebenbauer , Frank Allgower

The actual existence of collections of universes -- multiverses -- is strongly suggested by leading approaches to quantum cosmology, and has been proposed earlier as an attractive way to explain the apparent fine-tuned character of our…

Astrophysics · Physics 2007-05-23 William R. Stoeger

Integrating heterogeneous data sources and expert knowledge is essential for overcoming data scarcity and enhancing estimation accuracy. Two main frameworks naturally arise to perform the integration of these multiple sources: sequential…

Methodology · Statistics 2025-11-26 Mario Figueira , David Conesa , Antonio López-Quílez , Håvard Rue

We are often interested in decomposing complex, structured data into simple components that explain the data. The linear version of this problem is well-studied as dictionary learning and factor analysis. In this work, we propose a…

Machine Learning · Computer Science 2024-07-29 Avrim Blum , Kavya Ravichandran

There is an increasing number of real-world problems in computer vision and machine learning requiring to take into consideration multiple interpretation layers (modalities or views) of the world and learn how they relate to each other. For…

Computer Vision and Pattern Recognition · Computer Science 2024-02-14 Alexandru-Raul Todoran , Marius Leordeanu

The goal of this paper is to retrieve an image based on instance, attribute and category similarity notions. Different from existing works, which usually address only one of these entities in isolation, we introduce a cooperative embedding…

Computer Vision and Pattern Recognition · Computer Science 2019-04-03 William Thong , Cees G. M. Snoek , Arnold W. M. Smeulders

We consider the inference problem for high-dimensional linear models, when covariates have an underlying spatial organization reflected in their correlation. A typical example of such a setting is high-resolution imaging, in which…

Methodology · Statistics 2021-06-07 Jérôme-Alexis Chevalier , Tuan-Binh Nguyen , Bertrand Thirion , Joseph Salmon

Numerical predictions of quantities of interest measured within physical systems rely on the use of mathematical models that should be validated, or at best, not invalidated. Model validation usually involves the comparison of experimental…

Computational Engineering, Finance, and Science · Computer Science 2023-07-19 Antonin Paquette-Rufiange , Serge Prudhomme , Marc Laforest

The assumption that we are typical observers plays a core role in attempts to make multiverse theories empirically testable. A widely shared worry about this assumption is that it suffers from systematic ambiguity concerning the reference…

History and Philosophy of Physics · Physics 2017-07-17 Simon Friederich

Scientific publications have evolved several features for mitigating vocabulary mismatch when indexing, retrieving, and computing similarity between articles. These mitigation strategies range from simply focusing on high-value article…

Machine Learning · Statistics 2017-12-20 Kriste Krstovski , Michael J. Kurtz , David A. Smith , Alberto Accomazzi

A common practice of ML systems development concerns the training of the same model under different data sets, and the use of the same (training and test) sets for different learning models. The first case is a desirable practice for…

Logic in Computer Science · Computer Science 2025-06-06 Leonardo Ceragioli , Giuseppe Primiero

Incomplete observability of data generates an identification problem. There is no panacea for missing data. What one can learn about a population parameter depends on the assumptions one finds credible to maintain. The credibility of…

Econometrics · Economics 2022-05-17 Charles F. Manski

In the modern quantum mechanics of cosmology observers are physical systems within the universe. They have no preferred role in the formulation of the theory nor in its predictions of third person probabilities of what occurs. However,…

General Relativity and Quantum Cosmology · Physics 2018-01-18 James Hartle , Thomas Hertog

We study the problem of modeling and inference for spatio-temporal count processes. Our approach uses parsimonious parameterisations of multivariate autoregressive count time series models, including possible regression on covariates. We…

Methodology · Statistics 2024-11-14 Steffen Maletz , Konstantinos Fokianos , Roland Fried

The need to blend observational data and mathematical models arises in many applications and leads naturally to inverse problems. Parameters appearing in the model, such as constitutive tensors, initial conditions, boundary conditions, and…

Statistics Theory · Mathematics 2010-09-16 J. Nolen , G. A. Pavliotis , A. M. Stuart

Observational cosmology provides us with a large number of high precision data which are used to derive models trying to reproduce ``on the mean'' our observable patch of the Universe. Most of these attempts are achieved in the framework of…

Astrophysics · Physics 2011-11-10 Marie-Noëlle Célérier

We provide a test for the specification of a structural model without identifying assumptions. We show the equivalence of several natural formulations of correct specification, which we take as our null hypothesis. From a natural empirical…

Econometrics · Economics 2021-02-25 Alfred Galichon , Marc Henry

We review the literature on algorithms for estimating the index space in a multi-index model. The primary focus is on computationally efficient (polynomial-time) algorithms in Gaussian space, the assumptions under which consistency is…

Machine Learning · Statistics 2025-06-17 Joan Bruna , Daniel Hsu
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