Invariant theory | Estimator

Invariant estimator

In statistics, the concept of being an invariant estimator is a criterion that can be used to compare the properties of different estimators for the same quantity. It is a way of formalising the idea that an estimator should have certain intuitively appealing qualities. Strictly speaking, "invariant" would mean that the estimates themselves are unchanged when both the measurements and the parameters are transformed in a compatible way, but the meaning has been extended to allow the estimates to change in appropriate ways with such transformations. The term equivariant estimator is used in formal mathematical contexts that include a precise description of the relation of the way the estimator changes in response to changes to the dataset and parameterisation: this corresponds to the use of "equivariance" in more general mathematics. (Wikipedia).

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An introduction to Invariant Theory - Harm Derksen

Optimization, Complexity and Invariant Theory Topic: An introduction to Invariant Theory Speaker: Harm Derksen Affiliation: University of Michigan Date: June 4, 2018 For more videos, please visit http://video.ias.edu

From playlist Mathematics

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Invariant measure of quantum trajectories: product (...) - C. Pellegrini - Workshop 1 - CEB T2 2018

Clément Pellegrini (Univ. Paul Sabatier, Toulouse) / 16.05.2018 Invariant measure of quantum trajectories: product of random matrices. Quantum trajectories are Markov processes with singular transition which prevent to use usual Markov Theorems in order to study their large time behaviou

From playlist 2018 - T2 - Measurement and Control of Quantum Systems: Theory and Experiments

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Bertrand Eynard - An overview of the topological recursion

The "topological recursion" defines a double family of "invariants" $W_{g,n}$ associated to a "spectral curve" (which we shall define). The invariants $W_{g,n}$ are meromorphic $n$-forms defined by a universal recursion relation on $|\chi|=2g-2+n$, the initial terms $W_{0,1}$

From playlist ­­­­Physique mathématique des nombres de Hurwitz pour débutants

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Eva Gallardo Gutiérrez: The invariant subspace problem: a concrete operator theory approach

Abstract: The Invariant Subspace Problem for (separable) Hilbert spaces is a long-standing open question that traces back to Jonhn Von Neumann's works in the fifties asking, in particular, if every bounded linear operator acting on an infinite dimensional separable Hilbert space has a non-

From playlist Analysis and its Applications

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Invariant measure for quantum trajectories - Y.Pautrat - Workshop 2 - CEB T3 2017

Yan Pautrat / 23.10.17 Invariant measure for quantum trajectories Quantum trajectories represent the state of a quantum system undergoing repeated indirect measurements. A quantum trajectory is therefore a sequence of density matrices, and a natural question is to describe its asymptotic

From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester

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Commutative algebra 4 (Invariant theory)

This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. This lecture is an informal historical summary of a few results of classical invariant theory, mainly to show just how complic

From playlist Commutative algebra

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Introduction to geometric invariant theory 1: Noncommutative duality - Ankit Garg

Optimization, Complexity and Invariant Theory Topic: Introduction to geometric invariant theory 1: Noncommutative duality Speaker: Ankit Garg Affiliation: Microsoft Research New England Date: June 5. 2018 For more videos, please visit http://video.ias.edu

From playlist Mathematics

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Benjamin SCHLEIN - Derivation of invariant Gibbs measures...

Derivation of invariant Gibbs measures for nonlinear Schroedinger equations from many body quantum states We prove that Gibbs measures of nonlinear Schroedinger equations of Hartree-type arise as high-temperature limits of appropriately modified thermal states in many-body quantum mechani

From playlist Trimestre "Ondes Non linéaires" - June Conference

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Joe Neeman: Gaussian isoperimetry and related topics II

The Gaussian isoperimetric inequality gives a sharp lower bound on the Gaussian surface area of any set in terms of its Gaussian measure. Its dimension-independent nature makes it a powerful tool for proving concentration inequalities in high dimensions. We will explore several consequence

From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability

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Complex Stochastic Models and their Applications by Subhroshekhar Ghosh

PROGRAM: TOPICS IN HIGH DIMENSIONAL PROBABILITY ORGANIZERS: Anirban Basak (ICTS-TIFR, India) and Riddhipratim Basu (ICTS-TIFR, India) DATE & TIME: 02 January 2023 to 13 January 2023 VENUE: Ramanujan Lecture Hall This program will focus on several interconnected themes in modern probab

From playlist TOPICS IN HIGH DIMENSIONAL PROBABILITY

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12/6/18 Joe Kileel

Orbit retrieval, with applications to cryo-electron microscopy

From playlist Fall 2018 Symbolic-Numeric Computing

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Anna Little - Unbiasing Procedures for Scale-invariant Multi-reference Alignment - IPAM at UCLA

Recorded 28 November 2022. Anna Little of the University of Utah presents "Unbiasing Procedures for Scale-invariant Multi-reference Alignment" at IPAM's Multi-Modal Imaging with Deep Learning and Modeling Workshop. Abstract: Recent advances in applications such as cryo-electron microscopy

From playlist 2022 Multi-Modal Imaging with Deep Learning and Modeling

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Gap and index estimates for Yang-Mills connections in 4-d - Matthew Gursky

Variational Methods in Geometry Seminar Topic: Gap and index estimates for Yang-Mills connections in 4-d Speaker: Matthew Gursky Affiliation: University of Notre Dame Date: March 19, 2019 For more video please visit http://video.ias.edu

From playlist Variational Methods in Geometry

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Model Invariants and Functional Regularization

SIAM Activity Group on FME Virtual Talk Series Join us for a series of online talks on topics related to mathematical finance and engineering and running every two weeks until further notice. The series is organized by the SIAM Activity Group on Financial Mathematics and Engineering. Spea

From playlist SIAM Activity Group on FME Virtual Talk Series

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C^0 Limits of Hamiltonian Paths and Spectral Invariants - Sobhan Seyfaddini

Sobhan Seyfaddini University of California at Berkeley October 28, 2011 After reviewing spectral invariants, I will write down an estimate, which under certain assumptions, relates the spectral invariants of a Hamiltonian to the C0-distance of its flow from the identity. I will also show t

From playlist Mathematics

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Amos Nevo: Representation theory, effective ergodic theorems, and applications - Lecture 1

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Dynamical Systems and Ordinary Differential Equations

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Progress in the theory of CMC surfaces in locally homgeneous 3-manifolds X - William Meeks

Workshop on Mean Curvature and Regularity Topic: Progress in the theory of CMC surfaces in locally homgeneous 3-manifolds X Speaker: William Meeks Affiliation: University of Massachusetts; Member, School of Mathematics Date: November 9, 2018 For more video please visit http://video.ias.e

From playlist Workshop on Mean Curvature and Regularity

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Complex Stochastic Models and their Applications by Subhroshekhar Ghosh

PROGRAM: TOPICS IN HIGH DIMENSIONAL PROBABILITY ORGANIZERS: Anirban Basak (ICTS-TIFR, India) and Riddhipratim Basu (ICTS-TIFR, India) DATE & TIME: 02 January 2023 to 13 January 2023 VENUE: Ramanujan Lecture Hall This program will focus on several interconnected themes in modern probab

From playlist TOPICS IN HIGH DIMENSIONAL PROBABILITY

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Frédéric BOURGEOIS - A symplectic invariant for contact manifolds

The construction of S^1-equivariant symplectic homology with Alexandru Oancea can be used to define an invariant for a wide class of contact manifolds. This is a substitute for cylindrical contact homology, which often has transversality issues. This symplectic invariant can then be applie

From playlist 2015 Summer School on Moduli Problems in Symplectic Geometry

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19/11/2015 - Gustav Holzegel - The Linear Stability of the Schwarzschild Solution

The Linear Stability of the Schwarzschild Solution Under Gravitational Perturbations https://philippelefloch.files.wordpress.com/2015/11/2015-ihp-g-holzegel.pdf

From playlist 2015-T3 - Mathematical general relativity - CEB Trimester

Related pages

Loss function | Monotonic function | Statistics | Probability density function | Scale invariance | Location parameter | Prior knowledge for pattern recognition | Estimator | Estimation theory | Multivariate normal distribution | Statistical classification | Median | Statistical model | Bias of an estimator | Statistical inference | Equivalence class | Robust statistics | Equivariant map | Cauchy distribution | Bayesian inference