Lecture

LLL Algorithm

Related lectures (30)

Explores the Closest Vector Problem and Voronoi cells in lattice reduction algorithms.

Covers the LLL algorithm for reducing lattice bases to shorter and more orthogonal forms through iterative transformations.

Explores orthogonal and orthonormal bases, Gram-Schmidt process, and orthogonal polynomials in physics.

Explores total order broadcast and its equivalence to consensus in reliable systems.

Explores practical aspects of solving parity games, including winning strategies, algorithms, complexity, determinism, and heuristic approaches.

Covers counting distinct elements using hash functions and the median trick.

Explains the winning strategy in Connect Four by checking for winning combinations.

Explores complex roots, polynomials, and factorizations, including roots of unity and the fundamental theorem of algebra.

Explores latent tree learning, covering node properties, sibling relationships, and algorithmic structure.

Explores the Stein algorithm for polynomial identity testing and the minimization of a cut problem.

Explores group membership and view synchrony in distributed systems, ensuring accurate knowledge and coordinated views.

Explores the hidden sub-group problem and Simon algorithm in quantum computing.

Introduces an improved algorithm for three-color parity games, focusing on progress measures, acceleration, and practical speed-up.

Covers the Subset Sum problem and the efficient LLL algorithm for finding solutions in lattice basis reduction.

Explores transference bounds, ellipsoids, and determining the shortest vector.

Covers the Hidden Subgroup Algorithm in quantum computing, emphasizing projectors and measurement postulates.

Continues the discussion on Simon's hidden subgroup problem, focusing on finding a basis.

Explores correlations of the Liouville function along deterministic and independent sequences, covering key concepts and theorems.

Explores Voronoi analysis for efficient Closest Vector Problem solutions.