Mediaspace scheduled maintenance: Aug 25, 2026 07:00 - 12:00 AM. During this time, videos will be temporarily unavailable. Check status updates.

Concept

Upper and lower bounds

Related lectures (31)

Bounds and Inequalities

Covers upper and lower bounds, Jensen's inequality, and amended bounds in mathematical analysis.

Lattices for Abstract Interpretation

Covers lattices, abstract interpretation, fixpoint analysis, Hoare logic, and partial orders with extreme elements.

Infimum MOOC: Analysis I (part 1): Prelude, basic concepts, real numbers MOOC: Analysis I

Explains the concept of infimum in real numbers and its properties.

Relations, Sequences and Summations

Covers topics on relations, sequences, and summations, including lattices, recurrence relations, and sigma notation.

Lower Bounds for Analytical TSP

Explores two lower bounds for the analytical Traveling Salesman Problem, focusing on H(K) and H'(r) functions.

Signal Representation

Discusses signal representation, focusing on mathematical expressions and inequalities in signal processing.

Partial Ordering: Relations, Sequences, Summation

Introduces partial orderings, lattices, and lexicographic orderings on Cartesian products.

Supremum MOOC: Analysis I (part 1): Prelude, basic concepts, real numbers MOOC: Analysis I

Covers the concept of supremum in real numbers and its properties as the least upper bound of a set.

Distribution Estimation

Explores distribution estimation methods, fitness functions, and the importance of selecting the right estimator for accurate results.

Advanced Analysis I: Monotone Bounded Sequences

Covers the concept of monotone and bounded sequences, discussing their convergence and majorants.

Exact Methods for Integer Optimization MOOC: Optimization: principles and algorithms - Network and discrete optimization

Covers exact methods for integer optimization, emphasizing Branch and Bound techniques.

Generics and Subtyping

Covers advanced concepts in generics and subtyping in Java, focusing on LinkedList implementation and List interface.

Formulation, Properties: Infimum vs Optimum MOOC: Optimization: principles and algorithms - Unconstrained nonlinear optimization MOOC: Optimization: principles and algorithms - Linear optimization

Explains the difference between infimum and optimum in optimization problems and how to find the optimal solution.

Untitled

Multi-arm Bandits: Exploration vs Exploitation

Explores the balance between exploration and exploitation in multi-arm bandit algorithms.

Analysis I: Lecture 4 Repeated Hour 1

Explains how to find supremum and infimum of a set with examples.

Fisher Information, Cramér-Rao Inequality, MLE

Explains Fisher information, Cramér-Rao inequality, and MLE properties, including invariance and asymptotics.

Relations and Sequences

Covers relations, sequences, and posets, emphasizing properties like anti-symmetry and transitivity, and introduces arithmetic and geometric progressions.

Hedging for LPs

Covers the Hedge algorithm for minimizing loss in linear programming problems.

Subtyping and Type Calculus Log in to Mediaspace to watch this video

Explores subtyping, type calculus, and type bounds calculation in a system with subtyping, guiding through exercises and proofs step by step.