Expectation Maximization (EM) is among the most popular algorithms for estimating parameters of statistical models. However, EM, which is an iterative algorithm based on the maximum likelihood principle, is generally only guaranteed to find stationary points of the likelihood objective, and these points may be far from any maximizer. This article addresses this disconnect between the statistical principles behind EM and its algorithmic properties. Specifically, it provides a global analysis of EM for specific models in which the observations comprise an i.i.d.

Neural Information Processing Systems http://nips.cc/

The escalating frequency and sophistication of cyber threats increased the need for their comprehensive understanding. This paper explores the intersection of geopolitical dynamics, cyber threat intelligence analysis, and advanced detection technologies, with a focus on the energy domain. We leverage generative artificial intelligence to extract and structure information from raw cyber threat descriptions, enabling enhanced analysis. By conducting a geopolitical comparison of threat actor origins and target regions across multiple databases, we provide insights into trends within the general threat landscape. Additionally, we evaluate the effectiveness of cybersecurity tools -- with particular emphasis on learning-based techniques -- in detecting indicators of compromise for energy-targeted attacks. This analysis yields new insights, providing actionable information to researchers, policy makers, and cybersecurity professionals.

Quality: The paper is technically sound with non trivial results. The conclusions of the paper are well supported by the theory. The condition on the initial parameter that leads to convergence to the the true parameter are particularly interesting. Clarity: This is a very well written paper and it reads well. The math, though not trivial, is very accessible because of the presentation. The authors have provided adequate commentary that aids intuition and understanding.

Expectation Maximization (EM) is among the most popular algorithms for estimating parameters of statistical models. However, EM, which is an iterative algorithm based on the maximum likelihood principle, is generally only guaranteed to find stationary points of the likelihood objective, and these points may be far from any maximizer. This article addresses this disconnect between the statistical principles behind EM and its algorithmic properties. Specifically, it provides a global analysis of EM for specific models in which the observations comprise an i.i.d.

In this paper, we consider the problem of partitioning a small data sample of size $n$ drawn from a mixture of $2$ sub-gaussian distributions. In particular, we analyze computational efficient algorithms proposed by the same author, to partition data into two groups approximately according to their population of origin given a small sample. This work is motivated by the application of clustering individuals according to their population of origin using $p$ markers, when the divergence between any two of the populations is small. We build upon the semidefinite relaxation of an integer quadratic program that is formulated essentially as finding the maximum cut on a graph, where edge weights in the cut represent dissimilarity scores between two nodes based on their $p$ features. Here we use $\Delta^2 :=p \gamma$ to denote the $\ell_2^2$ distance between two centers (mean vectors), namely, $\mu^{(1)}$, $\mu^{(2)}$ $\in$ $\mathbb{R}^p$. The goal is to allow a full range of tradeoffs between $n, p, \gamma$ in the sense that partial recovery (success rate $< 100\%$) is feasible once the signal to noise ratio $s^2 := \min\{np \gamma^2, \Delta^2\}$ is lower bounded by a constant. Importantly, we prove that the misclassification error decays exponentially with respect to the SNR $s^2$. This result was introduced earlier without a full proof. We therefore present the full proof in the present work. Finally, for balanced partitions, we consider a variant of the SDP1, and show that the new estimator has a superb debiasing property. This is novel to the best of our knowledge.

Your data will never be shared with third parties, however, we may send you information from time to time about our products that may be of interest to you. By submitting your details, you agree to be contacted by us. You may contact us at any time to opt-out. Artificial Intelligence in Retail Market to 2025 - Global Analysis and Forecasts by Retail Format (E-Commerce and, Brick & Mortar), Technology (Chat-B.. Artificial Lift System Market Forecast to 2028 - Covid-19 Impact and Global Analysis - by Type (Progressive Cavity Pumping (PCP), Rod Lift, Gas Lift,..

Your data will never be shared with third parties, however, we may send you information from time to time about our products that may be of interest to you. By submitting your details, you agree to be contacted by us. You may contact us at any time to opt-out. Artificial Intelligence in Retail Market to 2025 - Global Analysis and Forecasts by Retail Format (E-Commerce and, Brick & Mortar), Technology (Chat-B.. Artificial Lift System Market Forecast to 2028 - Covid-19 Impact and Global Analysis - by Type (Progressive Cavity Pumping (PCP), Rod Lift, Gas Lift,..

The report 2020 supply, a thorough study of past, present and future look of Artificial Intelligence (AI) in Food and Beverages industry. It illustrate Artificial …

The '19 Impact on Global Artificial Intelligence (AI) in Construction market' research added by Market Study Report, LLC, offers a comprehensive …