# On the role of the overall effect in exponential families

@article{Klimova2017OnTR, title={On the role of the overall effect in exponential families}, author={Anna Klimova and Tam{\'a}s Rudas}, journal={arXiv: Methodology}, year={2017} }

Exponential families of discrete probability distributions when the normalizing constant (or overall effect) is added or removed are compared in this paper. The latter setup, in which the exponential family is curved, is particularly relevant when the sample space is an incomplete Cartesian product or when it is very large, so that the computational burden is significant. The lack or presence of the overall effect has a fundamental impact on the properties of the exponential family. When the…

## 2 Citations

Hierarchical Aitchison-Silvey models for incomplete binary sample spaces

- MathematicsJ. Multivar. Anal.
- 2022

## References

SHOWING 1-10 OF 29 REFERENCES

Iterative Scaling in Curved Exponential Families

- Mathematics
- 2013

The paper describes a generalized iterative proportional fitting procedure that can be used for maximum likelihood estimation in a special class of the general log‐linear model. The models in this…

Two algorithms for fitting constrained marginal models

- Computer ScienceComput. Stat. Data Anal.
- 2013

Context-specific independence in graphical log-linear models

- MathematicsComput. Stat.
- 2016

It is illustrated that lifting the restriction of decomposability makes the models more expressive, such that additional context-specific independencies embedded in real data can be identified.

Estimation for multiplicative models under multinomial sampling

- Mathematics, Computer Science
- 2017

The models considered in this paper are a special subclass of Relational models which may be appropriate when a collection of independence statements must hold even after probabilities are re-scaled…

On the toric algebra of graphical models

- Mathematics
- 2006

We formulate necessary and sufficient conditions for an arbitrary discrete probability distribution to factor according to an undirected graphical model, or a log-linear model, or other more general…

Coordinate-free analysis of trends in British social mobility

- Economics
- 2012

This paper is intended to make a contribution to the ongoing debate about declining social mobility in Great Britain by analyzing mobility tables based on data from the 1991 British Household Panel…

Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra, 3/e (Undergraduate Texts in Mathematics)

- Mathematics
- 1992

Algebraic Geometry is the study of systems of polynomial equations in one or more variables, asking such questions as: Does the The denominator is taking on this, book interested. This book for…

Probabilistic Graphical Models - Principles and Techniques

- Computer Science
- 2009

The framework of probabilistic graphical models, presented in this book, provides a general approach for causal reasoning and decision making under uncertainty, allowing interpretable models to be constructed and then manipulated by reasoning algorithms.

When and why are log-linear models self-normalizing?

- Computer ScienceNAACL
- 2015

A novel variant of an established procedure for training self-normalized models is described, which avoids computing normalizers for most training examples, and decreases training time by as much as factor of ten while preserving model quality.