Unanswered Questions
62,783 questions with no upvoted or accepted answers
34
votes
1answer
2k views
Link Anomaly Detection in Temporal Network
I came across this paper that uses link anomaly detection to predict trending topics, and I found it incredibly intriguing: The paper is "Discovering Emerging Topics in Social Streams via Link Anomaly ...
28
votes
0answers
871 views
Bound for Arithmetic Harmonic mean inequality for matrices?
NOTE: This question has originally been posted in MSE, but it did not generate any interest. It was first posted there, because the question itself is a pure matrix-algebra question.
Nevertheless, ...
24
votes
0answers
1k views
How does a Relevance Vector Machine (RVM) work?
Relevance Vector Machines (RVMs) are really interesting models when contrasted with the highly geometrical (and popular) SVMs.
In the light of a question like How does a Support Vector Machine (SVM) ...
22
votes
1answer
781 views
Wavelet-domain Gaussian processes: what is the covariance?
I've been reading Maraun et al, "Nonstationary Gaussian processes in wavelet domain: Synthesis, estimation, and significant testing" (2007) which defines a class of non-stationary GPs that ...
21
votes
1answer
5k views
Backpropagation on a convolutional layer
Online tutorials describe in depth the convolution of an image with a filter, etc; However, I have not seen one that describes the backpropagation on the filter (at least visually).
First let me try ...
21
votes
0answers
999 views
Bootstrapping Generalized Least Squares
Scenario:
Consider the use of bootstrapping to estimate the distribution of model parameters fitted per a linear or nonlinear generalized least squares model. In particular, assume there is a ...
21
votes
1answer
518 views
Blind source separation of convex mixture?
Suppose I have $n$ independent sources, $X_1, X_2, ..., X_n$ and I observe $m$ convex mixtures:
\begin{align}
Y_1 &= a_{11}X_1 + a_{12}X_2 + \cdots + a_{1n}X_n\\
...&\\
Y_m &= a_{m1}X_1 + ...
19
votes
0answers
811 views
Fitting custom distributions by MLE
My question relates to fitting custom distributions in R but I feel it has enough of a probability element to remain on CV.
I have an interesting set of data which has the following characteristics:
...
18
votes
0answers
633 views
Distribution of inverse Wishart to a power?
In a related question, I had asked about the norm induced by an inverse Wishart matrix. I am interested in generalizing that result somewhat. Let $A\sim\mathcal{W}_p\left(I,n\right)$, a Wishart matrix ...
17
votes
0answers
688 views
Is there a general expression for ancillary statistics in exponential families?
An i.i.d sample $X_1,\dots,X_n$ from a scale family with c.d.f. $F(\frac{x}{\sigma})$ has $S(X)$ as an ancillary statistic if $S(X)$ depends on the sample only through $\frac{X_1}{X_n},\cdots,\frac{X_{...
17
votes
1answer
758 views
Physical/pictoral interpretation of higher-order moments
I'm preparing a presentation about parallel statistics. I plan to illustrate the formulas for distributed computation of the mean and variance with examples involving center of gravity and moment of ...
15
votes
0answers
6k views
Specify correlation structure for different groups in mixed-effects model (lme4/nlme)
I am trying to account for spatial autocorrelation in a linear mixed-effects model in R with measurements repeated in time. BodyMass has been collected once per <...
15
votes
0answers
1k views
Implementation of CoVaR (a systemic risk measure) in R
I'm trying to estimate CoVaR using bivariate DCC GARCH in R. The concept of CoVaR is the dependence adjusted of VaR, which was first introduced by Adrian and Brunnermeier (2011). However, this ...
14
votes
0answers
3k views
What is the logic behind “rule of thumb” for meaningful differences in AIC?
I've been struggling to find meaningful guidelines for comparing models based on differences in AIC. I keep coming back to the rule of thumb offered by Burnham & Anderson 2004, pp. 270-272:
...
14
votes
0answers
1k views
Bayesian Q-learning
Suppose that, for every state $s$, there is a set of actions $\mathcal{A}(s)$ that can be chosen in that state.
Let $Q(s, a)$ denote the expected utility of choosing action $a \in \mathcal{A}(s)$ in ...
