1 Table of Contents: “... functions -- Lipschitz functions and embeddings -- Path integrals and modulus -- Upper gradients -- Sobolev...”

2 “... are described and analyzed, including: gradient and accelerated gradient methods for unconstrained optimization...”

3 “... and gradient descent for convex function minimization are discussed in detail. The book's emphasis...”

4 Table of Contents: “...; inequality and the first eigenvalue; 6. Gradient estimate and Harnack inequality; 7. Mean value inequality; 8...”

5 “... applications and perspectives that are unique to this book. The very topical subjects of gradient analysis...”

6 Table of Contents: “...: on aggregate morphosyntactic distances and similarities -- 5. Is morphosyntactic variability gradient...”

7 Table of Contents: “... inequalities -- 3. Nonlinear eigenvalue problems -- 4. Elliptic systems of gradient type -- 5. Systems...”

8 “... for the invariant gradient of Green potentials. Applications of some of the results to Hp spaces, and weighted...”

9 “..., (stochastic) gradient descent, variational Bayes, Monte Carlo, importance sampling and Markov chain Monte...”

10 Table of Contents: “... -- Free entropy and equilibrium -- Convergence to equilibrium -- Gradient flows and functional...”

11 Table of Contents: “... -- Buckling delamination -- Thin strips (patterned lines) -- Steady-state temperature gradients -- Cracking...”

12 Table of Contents: “... -- The Wasserstein distance W2 on P2(Rn) -- Gradient flows and the minimizing movements scheme -- The Fokker-Planck...”

13 Table of Contents: “... : spin echo -- Acronyms anonymous II : gradient echo -- The parallel universe : parallel imaging...”

14 Table of Contents: “... for sparse linear equations; 13. Multigrid techniques; 14. Conjugate gradients; 15. Fast Poisson solvers...”

15 Table of Contents: “... transportation / Peter Topping -- Lecture notes on gradient flows and optimal transport / Sara Daneri...”

16 Table of Contents: “... : basics -- Grassmann analysis : applications -- Volume elements, divergences, gradients -- Non-gaussian...”

17 Table of Contents: “... Le Moigne, Ilya Zavorin and Harold S. Stone; 12. Gradient descent approaches to image registration...”

18 Table of Contents: “... Transformations and Governing Equations in Orthogonal System -- 9.19.1.Gradient operator -- 9.19.2.Divergence...”

19 Table of Contents: “... function -- 10.3. Methods adding the cost function gradient -- 10.4. Stochastic algorithms -- 10.5...”