A Linear Tempering Paradigm for Hidden Markov Models – Nonstationary inference has found the most successful practice in many tasks such as data mining and classification. However, sparse inference is not a very flexible problem. In this work, we consider the problem from the sparsity perspective. We argue that sparse inference is an important problem in data science, because its solution is more flexible. Specifically, we formulate the problem as a linear domain in nonlinear terms, and propose a formulation of the problem that avoids the need of regularization. We prove the lower bound of the solution, and give an algorithm that does not need any regularization, thus proving the existence of a sparse problem. We further present an algorithm for sparse inference that works without any regularization, and we show that it can solve the nonlinearity problem. Finally, we give an algorithm for sparse inference that is efficient as well as suitable for many general models.

Power is a necessary necessity in modern computerized decision-making. In this context, it is necessary to define some common terms for decision making and give appropriate rules for constructing and evaluating rules. This work investigates the formalism of decision-making in the context of polynomial reasoning. The theory of decision-making is given in Part 2.

A Discriminative Model for Relation Discovery

Improving the Interpretability of Markov Chain models

# A Linear Tempering Paradigm for Hidden Markov Models

The Power of PolynomialsPower is a necessary necessity in modern computerized decision-making. In this context, it is necessary to define some common terms for decision making and give appropriate rules for constructing and evaluating rules. This work investigates the formalism of decision-making in the context of polynomial reasoning. The theory of decision-making is given in Part 2.