## 4 Citations

### Reliability of decisions based on tests: Fourier analysis of Boolean decision functions

- Computer Science
- 2020

It is concluded that a weighted sum score has desirable properties that fit with test theory and is observable, has the property that a decision is stable (reliable), and satisfies Rousseau's criterion that the input should match the decision.

### A model and a numerical scheme for the description of distribution and abundance of individuals

- MathematicsJournal of Mathematical Biology
- 2022

We introduce a model in the context of ecology that can be used to describe the distribution and abundance of individuals when data from field work is extremely limited (for example, in the case of…

### Relations between Networks, Regression, Partial Correlation, and the Latent Variable Model

- Computer ScienceMultivariate behavioral research
- 2021

A connection between the ULVM and the GGM is introduced and it is proved that the authors find a fully-connected and not an empty network associated with a ULVM, and the relation between GGMs and linear regression is used to show that the partial correlation indeed does not remove the common variance.

### The fully visible Boltzmann machine and the Senate of the 45th Australian Parliament in 2016

- Political ScienceJournal of Computational Social Science
- 2019

Using publicly available Senate voting data in 2016, quantitatively analyzed two aspects of the Senate and utilized the fully-visible Boltzmann machine (FVBM) model to reveal the interaction structures within the Australian Senate.

## References

SHOWING 1-10 OF 35 REFERENCES

### Asymptotic Normality of the Maximum Pseudolikelihood Estimator for Fully Visible Boltzmann Machines

- MathematicsIEEE Transactions on Neural Networks and Learning Systems
- 2016

It is proved that MPLE also yields an asymptotically normal parameter estimator, which provides a closed-form alternative to the current methods that require Monte Carlo simulation or resampling.

### Nearly universal consistency of maximum likelihood in discrete models

- Computer Science
- 2013

### Convex models, MLE and misspecification

- Mathematics
- 2001

We analyze the asymptotic behavior of maximum likelihood estimators (MLE) in convex dominated models when the true distribution generating the independent data does not necessarily belong to the…

### PSEUDOLIKELIHOOD ESTIMATION : SOME EXAMPLES

- Mathematics
- 2016

SUMMARY. In some estimation problems the joint likelihood involves an awkward nor malizing function of the parameters. In such cases the method of maximum likelihood is liable to be inconvenient. An…

### A note on pseudolikelihood constructed from marginal densities

- Mathematics, Computer Science
- 2004

The asymptotic properties of formal maximum likelihood estimators in applications in which only a single qx1 vector of observations is observed are examined, and conditions under which consistent estimators of parameters result from the approximate likelihood using only pairwise joint distributions are studied.

### Composite likelihood estimation for restricted Boltzmann machines

- Computer Science, MathematicsProceedings of the 21st International Conference on Pattern Recognition (ICPR2012)
- 2012

This paper proposes a composite likelihood method and investigates its properties and applies this to restricted Boltzmann machines.

### A Block Successive Lower-Bound Maximization Algorithm for the Maximum Pseudo-Likelihood Estimation of Fully Visible Boltzmann Machines

- Computer ScienceNeural Computation
- 2016

An algorithm for the MPLE of FVBMs based on the block successive lower-bound maximization (BSLM) principle is presented and it is shown that the BSLM algorithm monotonically increases the pseudo-likelihood values and that the sequence of B SLM estimates converges to the unique global maximizer of the pseudo -likelihood function.

### CONSISTENCY OF THE MAXIMUM LIKELIHOOD ESTIMATOR IN THE PRESENCE OF INFINITELY MANY INCIDENTAL PARAMETERS

- Mathematics
- 1956

0 and ai. The parameter 0, upon which all the distributions depend, is called "structural"; the parameters {aiI} are called "incidental". Throughout this paper we shall assume that the Xi, are…

### Composite Likelihood Methods

- Computer Science
- 2012

This issue includes two long overview papers, one of which is devoted to applications in statistical genetics; several papers developing new theory for inference based on composite likelihood; new results in the application of composite likelihood to time series, spatial processes, longitudinal data and missing data.

### Consistency of Pseudolikelihood Estimation of Fully Visible Boltzmann Machines

- Computer Science, MathematicsNeural Computation
- 2006

It is shown that the old principle of pseudolikelihood estimation provides an estimator that is computationally very simple yet statistically consistent in the basic case of fully visible Boltzmann machines.