Aris Daniilidis

Computational Theory and Mathematics · 2004–2009

A researcher in the Science corpus: 7 papers; trusts 16 researchers and is trusted by 15 researchers here, as inferred from the citation graph.

Subfields

• Computational Theory and Mathematics — 26 citations into it; #5,553 of 12,182 by trust here, #2,489 by citations
• Geometry and Topology — 14 citations into it; #2,003 of 7,422 by trust here, #1,298 by citations
• Applied Mathematics — 12 citations into it; #3,102 of 7,620 by trust here, #1,771 by citations
• Mathematical Physics — 10 citations into it; #5,618 of 8,562 by trust here, #2,038 by citations
• Numerical Analysis — 9 citations into it; #3,151 of 3,586 by trust here, #1,221 by citations

Whom Aris Daniilidis trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Pierre-Antoine Absil
2. Jérôme Bolte
3. Jean-Philippe Vial
4. Dominique Azé
5. A. S. Lewis
6. Robert E. Mahony
7. Asen L. Dontchev
8. Alexander D. Ioffe
9. Boris S. Mordukhovich
10. Ben Andrews

Who trusts Aris Daniilidis overall

1. Jérôme Bolte
2. Hédy Attouch
3. Martin Benning
4. Yangyang Xu
5. Francesco Rinaldi
6. Jason D. Lee
7. Yi Zhou
8. Wotao Yin
9. Guoyin Li
10. Trong Phong Nguyen

Papers from Aris Daniilidis's perspective

Ordered by how strongly the researchers Aris Daniilidis trusts endorse each paper. Same corpus, a different order for every researcher.

1. Variational Analysis and Generalized Differentiation
2. The [barred L]ojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems (SIAM Journal on Optimization)
3. Metric regularity and subdifferential calculus
4. AN INTRODUCTION TO O-MINIMAL GEOMETRY
5. Convergence of the Iterates of Descent Methods for Analytic Cost Functions (SIAM Journal on Optimization)
6. Local differentiability of distance functions
7. A Morse-Sard theorem for the distance function on Riemannian manifolds
8. The radius of metric regularity
9. Variational analysis and generalized differentiation
10. SEMIALGEBRAIC SARD THEOREM FOR GENERALIZED CRITICAL VALUES

Their papers

• Clarke Subgradients of Stratifiable Functions (2006) — 494 citations
• Characterizations of Lojasiewicz inequalities: Subgradient flows, talweg, convexity (2009) — 321 citations
• A nonsmooth Morse–Sard theorem for subanalytic functions (2006) — 56 citations
• Characterizations of Lojasiewicz inequalities and applications (2008) — 37 citations
• Subsmooth sets: Functional characterizations and related concepts (2004) — 133 citations
• Approximate convexity and submonotonicity (2004) — 101 citations
• The [barred L]ojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems (2006) — 831 citations