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Concepts5

Groups

๐Ÿ“Linear Algebra15๐Ÿ“ˆCalculus & Differentiation10๐ŸŽฏOptimization14๐ŸŽฒProbability Theory12๐Ÿ“ŠStatistics for ML9๐Ÿ“กInformation Theory10๐Ÿ”บConvex Optimization7๐Ÿ”ขNumerical Methods6๐Ÿ•ธGraph Theory for Deep Learning6๐Ÿ”ตTopology for ML5๐ŸŒDifferential Geometry6โˆžMeasure Theory & Functional Analysis6๐ŸŽฐRandom Matrix Theory5๐ŸŒŠFourier Analysis & Signal Processing9๐ŸŽฐSampling & Monte Carlo Methods10๐Ÿง Deep Learning Theory12๐Ÿ›ก๏ธRegularization Theory11๐Ÿ‘๏ธAttention & Transformer Theory10๐ŸŽจGenerative Model Theory11๐Ÿ”ฎRepresentation Learning10๐ŸŽฎReinforcement Learning Mathematics9๐Ÿ”„Variational Methods8๐Ÿ“‰Loss Functions & Objectives10โฑ๏ธSequence & Temporal Models8๐Ÿ’ŽGeometric Deep Learning8

Category

๐Ÿ”ทAllโˆ‘Mathโš™๏ธAlgo๐Ÿ—‚๏ธDS๐Ÿ“šTheory

Level

AllBeginner
๐Ÿ“šTheoryAdvanced

Reproducing Kernel Hilbert Spaces (RKHS)

An RKHS is a space of functions where evaluating a function at a point equals taking an inner product with a kernel section, which enables the โ€œkernel trick.โ€

#rkhs#kernel trick#gram matrix+12
โˆ‘MathAdvanced

Banach Spaces

A Banach space is a vector space with a norm where every Cauchy sequence actually converges within the space.

#banach space#normed vector space
Intermediate
Advanced
Group:
Measure Theory & Functional Analysis
#completeness
+11
โˆ‘MathAdvanced

Hilbert Spaces

A Hilbert space is an inner product space that is complete, meaning Cauchy sequences converge to points inside the space.

#hilbert space#inner product#l2 space+12
โˆ‘MathAdvanced

Lebesgue Integration

Lebesgue integration measures how much time a function spends near each value and adds up value ร— size of the set where it occurs.

#lebesgue integral#riemann integral#measure theory+12
โˆ‘MathAdvanced

Sigma-Algebras & Measure Spaces

A ฯƒ-algebra is a collection of subsets that is closed under complements and countable unions, giving us a stable universe of sets where measure makes sense.

#sigma-algebra#measure space#measurable sets+12