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Machine Learning 2. Lecture 12. Interpretability and Explainability

2026LectureКонстантин Вячеславович Воронцов

Interpretability and explainability of machine learning models: goals, tasks and basic notions, who needs explanations and why; interpretable models; feature importance in linear regression: the t-statistic, net effects, contributions and situational importance; partial dependence plots (PDP) and individual conditional expectation plots (ICE); permutation feature importance; the Shapley value from cooperative game theory, its axioms and Monte Carlo estimation, its use in linear regression; surrogate modelling in the neighbourhood of an object, the LIME, Anchors, SHAP, Shapley Kernel and SAGE methods; the Shapley value for training objects, Data Shapley and Gradient Shapley; counterfactual explanations.
0
230

Change of Basis

2026TheorySergey

The change-of-basis matrix, recomputing a vector's coordinates and an operator's matrix, and the orthonormal case.
0
220

IMO 1988

2026Problem sheet

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
180

IMO 1970

2026Problem sheet

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
190

IMO 1972

2026Problem sheet

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
250

Matrices

2026TheorySergey

A matrix, its notation, and the main types: row, column, echelon, square, diagonal, identity, symmetric - defined and shown with worked examples.
1
570

Basic Operations on Matrices

2026TheorySergey

Addition, scalar multiplication, transposition and multiplication of matrices, along with subtraction, powers, and trace.
0
150

Properties of Matrix Operations

2026TheorySergey

The basic properties of addition, scalar multiplication, transposition, and multiplication of matrices, with justifications.
0
180

Inverse Matrices

2026TheorySergey

Nonsingular matrices, the invertibility criterion, the adjugate-matrix formula, and the Gauss–Jordan method.
0
120

IMO 1959

2026Problem sheet

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
310

IMO 1962

2026Problem sheet

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
340

IMO 1964

2026Problem sheet

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
380

IMO 1973

2026Problem sheet

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
240

IMO 1977

2026Problem sheet

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
260

IMO 1979

2026Problem sheet

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
170

IMO 1985

2026Problem sheet

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
120

IMO 1989

2026Problem sheet

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
380

IMO 1992

2026Problem sheet

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
240

IMO 2000

2026Problem sheet

International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
0
280