Stochastic factorizations, sandwiched simplices and the topology of the space of explanations
By D. Mond, Jim Smith, D. van Straten. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2003
48 citations recorded by the source corpus.
Subfields: Artificial Intelligence, Computational Theory and Mathematics, Signal Processing
View Paper: https://www.semanticscholar.org/paper/a0c49a6b67a7f02b684cd8e7a2917b8973cceca2
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Artificial Intelligence
- Lior S. Pachter
- Bernd Sturmfels
- Mathias Drton
- June Huh
- Kaie Kubjas
- Seth Sullivant
- Elina Robeva
- Kayvan Sadeghi
In Computational Theory and Mathematics
- Bernd Sturmfels
- Mathias Drton
- Seth Sullivant
- Elina Robeva
- Kaie Kubjas
- June Huh
- Lior S. Pachter
- Federico Ardila
In Signal Processing
- Kaie Kubjas
- Bernd Sturmfels
- Mathias Drton
- Lior S. Pachter
- Seth Sullivant
- Elina Robeva
- Kayvan Sadeghi
Citations in the corpus
- Likelihood Geometry (2013, background): “Section 2 begins leisurely, with the question Does watching soccer on TV cause hair loss?”
- Algebraic statistical models (2007, background): “More about this example can be found in Mond et al. (2003).”
- FIXED POINTS OF THE EM ALGORITHM AND NONNEGATIVE RANK BOUNDARIES (2013, methodology): “The proof of Theorem 4.1 is based on the familiar characterization of nonnegative rank in terms of nested polytopes [ 1, 10, 33], and, in particular, on work of Mond et al. [29] on the structure of critical configurations in the plane (shown in Figure 5).”
- Combinatorial secant varieties (2005, background): “o the secant variety X{r}. In the statistics literature, the (nonnegative real) preimage of a point x on (the nonnegative real part of) X{r} is known as the space of explanations for the point x. See [21]. In the situation where X = V(I(G)) is the simplicial complex of independent sets in a graph G,”
- Algebraic Statistics for Computational Biology: Preface (2005, background): “The topology of such “spaces of explanations” were studied in [Mond et al., 2003].”