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We survey recent developments on the Restriction conjecture.

Classical Analysis and ODEs · Mathematics 2007-05-23 Terence Tao

We provide a detailed overview of the various approaches that were proposed to date to solve the task of Open Information Extraction. We present the major challenges that such systems face, show the evolution of the suggested approaches…

Computation and Language · Computer Science 2018-06-15 Christina Niklaus , Matthias Cetto , André Freitas , Siegfried Handschuh

Researchers often calculate ratios of measured quantities. Specifying confidence limits for ratios is difficult and the appropriate methods are often unknown. Appropriate methods are described (Fieller, Taylor, special bootstrap methods).…

Applications · Statistics 2007-10-11 Volker H. Franz

Although for the most part classical, the topic of electrostatics finds to this day new applications. In this review we highlight several theoretical results on electrostatics, chosen to both illustrate general principles, and for their…

Mathematical Physics · Physics 2026-03-04 Sung-Soo Byun , Peter J. Forrester

This paper develops a Bayesian approach for assessing equivalence and non-inferiority hypotheses in two-arm trials using relative belief ratios. A relative belief ratio is a measure of statistical evidence and can indicate evidence either…

Applications · Statistics 2014-01-20 Saman Muthukumarana , Michael Evans

Statistical uncertainty of different filtration techniques for market network analysis is studied. Two measures of statistical uncertainty are discussed. One is based on conditional risk for multiple decision statistical procedures and…

Statistical Finance · Quantitative Finance 2015-06-17 V. A. Kalyagin , A. P. Koldanov , P. A. Koldanov , P. M. Pardalos , V. A. Zamaraev

A comparison of impulse approximation calculations for the (e,e'p) reaction, based on the Dirac equation and the Schrodinger one is presented. Trivial (kinematics) differences are indicated, as well as how to remove them from the standard…

Nuclear Theory · Physics 2007-05-23 J. M. Udias , Javier R. Vignote , E. Moya de Guerra , A. Escuderos , J. A. Caballero

This write-up is the suggested lecture notes for a second level course on advanced topics in database systems for master's students of Computer Science with a theoretical focus. A prerequisite in algorithms and an exposure to database…

Databases · Computer Science 2016-03-02 K. Viswanathan Iyer

In this note we confront the research conducted in \cite{Hoang:2017suc} with results previously obtained by the author, and critically examine some of their claimed findings.

High Energy Physics - Phenomenology · Physics 2017-06-13 Antonio Pineda

We briefly review some constraints (Owing to the limited number of pages of present review, only a sub-sample of the topics discussed during the talk are briefly summarized. For the interested readers we are pleased to send them upon…

Astrophysics · Physics 2009-11-13 S. Cassisi

This revisit gives a survey on the analytical methods for the inverse exponential Radon transform which has been investigated in the past three decades from both mathematical interests and medical applications such as nuclear medicine…

Image and Video Processing · Electrical Eng. & Systems 2020-02-06 Jason You

Given only aggregate choice data and limited information about how menus are distributed across the population, we describe what can be inferred robustly about the distribution of preferences (or more general decision rules). We strengthen…

Theoretical Economics · Economics 2024-05-16 Larry G Epstein , Kaushil Patel

This study presents a theoretical analysis on the efficiency of interleaving, an efficient online evaluation method for rankings. Although interleaving has already been applied to production systems, the source of its high efficiency has…

Information Retrieval · Computer Science 2023-06-21 Kojiro Iizuka , Hajime Morita , Makoto P. Kato

Despite efforts to distinguish three different evaluation setups (Bekoulis et al., 2018), numerous end-to-end Relation Extraction (RE) articles present unreliable performance comparison to previous work. In this paper, we first identify…

Computation and Language · Computer Science 2021-08-10 Bruno Taillé , Vincent Guigue , Geoffrey Scoutheeten , Patrick Gallinari

Studies that collect multi-outcome data such as tobacco and alcohol use are becoming increasingly common. In principle, multi-outcomes studies investigate the correlations between outcomes, including, causal links and/or joint…

Methodology · Statistics 2022-11-03 George G. Vega Yon , Mary Jo Pugh , Thomas W. Valente

Fields like public health, public policy, and social science often want to quantify the degree of dependence between variables whose relationships take on unknown functional forms. Typically, in fact, researchers in these fields are…

Statistics Theory · Mathematics 2019-12-10 Octavio César Mesner , Cosma Rohilla Shalizi

Statistical parametric models are proposed to explain the values of the Planck constant obtained by comparing electrical and mechanical powers and by counting atoms in Si 28 enriched crystals. They assume that uncertainty contributions --…

Data Analysis, Statistics and Probability · Physics 2016-01-22 Giovanni Mana

When studying convergence of measures, an important issue is the choice of probability metric. In this review, we provide a summary and some new results concerning bounds among ten important probability metrics/distances that are used by…

Probability · Mathematics 2007-05-23 Alison L. Gibbs , Francis Edward Su

I review recent work in the statistics literature on instrumental variables methods from an econometrics perspective. I discuss some of the older, economic, applications including supply and demand models and relate them to the recent…

Methodology · Statistics 2014-10-02 Guido W. Imbens

The ICH E9(R1) Addendum (International Council for Harmonization 2019) suggests treatment-policy as one of several strategies for addressing intercurrent events such as treatment withdrawal when defining an estimand. This strategy requires…

Methodology · Statistics 2023-08-28 Suzie Cro , James H Roger , James R Carpenter