      Video in TIB AV-Portal: Trade-offs in Statistical Learning

 Title Trade-offs in Statistical Learning Title of Series Computational and statistical trade-offs in learning Part Number 8 Number of Parts 10 Author License CC Attribution 3.0 Unported:You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor. Identifiers 10.5446/20251 (DOI) Publisher Release Date 2016 Language English

 Subject Area Mathematics Abstract I will explore the notion of constraints on learning procedures, and discuss the impact that they can have on statistical precision. This is inspired by real-life concerns such as limits on time for computation, on reliability of observations, or communication between agents. I will show how these constraints can be shown to have a concrete cost on the statistical performance of these procedures, by describing several examples. Statistical hypothesis testing Point (geometry) Standard error Complex (psychology) Statistics Functional (mathematics) State of matter Multiplication sign Decision theory Algebraic structure 1 (number) Set (mathematics) Barrelled space Parameter (computer programming) Average Number Subset Hypothesis Estimator Mathematics Average Higgs mechanism Summierbarkeit Mathematical optimization Condition number Injektivität Sine Linear regression Gradient Interior (topology) Algebraic structure Line (geometry) Statistics Statistical hypothesis testing Hypothesis Sparse matrix Voting Event horizon Estimation Order (biology) Right angle Object (grammar) Figurate number Mathematical optimization Family Maß <Mathematik> Combinatorics
Randomization Euclidean vector Distribution (mathematics) Direction (geometry) Multiplication sign 1 (number) Bound state Dimensional analysis Independence (probability theory) Order (biology) Different (Kate Ryan album) Vector space Square number Position operator Area Constraint (mathematics) Infinity Perturbation theory Statistics Hypothesis Statistical hypothesis testing Distance Sparse matrix Arithmetic mean Vector space Principal component analysis Order (biology) Right angle Resultant Point (geometry) Slide rule Standard error Statistics Divisor Maxima and minima Random matrix Mathematical analysis Sparse matrix Distance Rule of inference Glattheit <Mathematik> Summierbarkeit Maß <Mathematik> Curve fitting Dependent and independent variables Distribution (mathematics) Standard deviation Principal ideal Vector graphics Mathematical analysis Bound state Independence (probability theory) Covariance matrix Power (physics) Quadratic form Mathematical optimization
Statistical hypothesis testing Statistics Polynomial Logarithm Multiplication sign Bound state Mathematical analysis Theory Infinity Bound state Mortality rate Statistical hypothesis testing Order (biology) Heuristic Energy level Diagonal Analytic continuation
Randomization Clique problem Distribution (mathematics) Graph (mathematics) Multiplication sign Parameter (computer programming) Special unitary group Variance Subset Expected value Matrix (mathematics) Square number Moving average Noise Arc (geometry) Position operator Logical constant Polynomial Link (knot theory) Hypothesis Random graph Angle Chain Right angle Energy level Resultant Reduction of order Thomas Bayes Point (geometry) Spectrum (functional analysis) Random number Statistics Vapor barrier Link (knot theory) Connectivity (graph theory) Maxima and minima Average Sparse matrix Lattice (order) Theory Number Graph (mathematics) Reduction of order Adjacency matrix Summierbarkeit Maß <Mathematik> Distribution (mathematics) Algebraic structure Expected value Maxwell's demon Vertex (graph theory) Mathematical optimization
Logical constant Statistical hypothesis testing Complex (psychology) Group action Clique problem Resonator Water vapor Open set Special unitary group Perspective (visual) Dimensional analysis Explosion Estimator Sign (mathematics) Insertion loss Different (Kate Ryan album) Negative number Amenable group Descriptive statistics Link (knot theory) Theory of relativity Constraint (mathematics) Block (periodic table) Sampling (statistics) Infinity Parameter (computer programming) Lattice (order) Sequence Category of being Arithmetic mean Sample (statistics) Angle Order (biology) Phase transition Queue (abstract data type) Point (geometry) Slide rule Standard error Letterpress printing Similarity (geometry) Valuation (algebra) Student's t-test Average Event horizon Number Element (mathematics) Frequency Goodness of fit Coefficient Spectral method Energy level Scale (map) Distribution (mathematics) Standard deviation Chemical equation Model theory Commutator Quadratic form Perspective (visual) Field extension Estimation Function (mathematics) Network topology Universe (mathematics) Social class Musical ensemble Mathematical optimization Matrix (mathematics) Gradient descent State of matter Multiplication sign Sheaf (mathematics) 1 (number) Set (mathematics) Insertion loss Parameter (computer programming) Mereology Food energy Grothendieck topology Order (biology) Mathematics Many-sorted logic Phase transition Matrix (mathematics) Arrow of time Series (mathematics) Area Linear regression Moment (mathematics) Knot Statistics Connected space Proof theory Sparse matrix Vector space Normal (geometry) Right angle Energy level Block (periodic table) Resultant Sinc function Combinatorics Metre Geometry Statistics Link (knot theory) Divisor Parity (mathematics) Sparse matrix Distance Power (physics) Natural number Average Reduction of order Summierbarkeit Noise (electronics) Addition Dependent and independent variables Graph (mathematics) Bound state Mathematical analysis Incidence algebra Axialer Vektor Database normalization Estimator Object (grammar) Coefficient Convex set Local ring Spectrum (functional analysis) Maß <Mathematik>
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