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Ill-posed inverse problems of the form y = X p where y is J-dimensional vector of a data, p is m-dimensional probability vector which cannot be measured directly and matrix X of observable variables is a known J,m matrix, J < m, are…

Mathematical Physics · Physics 2012-08-27 M. Grendar, , M. Grendar

We revisit the classical problem of inverting dimension-reducing linear mappings using the maximum entropy (MaxEnt) criterion. In the literature, solutions are problem-dependent, inconsistent, and use different entropy measures. We propose…

Machine Learning · Computer Science 2024-07-22 Paul M Baggenstoss

Entropy regularized algorithms such as Soft Q-learning and Soft Actor-Critic, recently showed state-of-the-art performance on a number of challenging reinforcement learning (RL) tasks. The regularized formulation modifies the standard RL…

Machine Learning · Statistics 2019-10-15 Elena Smirnova , Elvis Dohmatob

This paper discusses the application of L1-regularized maximum entropy modeling or SL1-Max [9] to multiclass categorization problems. A new modification to the SL1-Max fast sequential learning algorithm is proposed to handle conditional…

Machine Learning · Computer Science 2007-05-23 Patrick Haffner , Steven Phillips , Rob Schapire

The macro-to-micro transition in a heterogeneous material is envisaged as the selection of a probability distribution by the Principle of Maximum Entropy (MAXENT). The material is made of constituents, e.g. given crystal orientations. Each…

Classical Physics · Physics 2007-05-23 Mayeul Arminjon , Didier Imbault

In some situations, EM algorithm shows slow convergence problems. One possible reason is that standard procedures update the parameters simultaneously. In this paper we focus on finite mixture estimation. In this framework, we propose a…

Computation · Statistics 2012-01-31 Gilles Celeux , Stéphane Chrétien , Florence Forbes

Semi-continuous data comes from a distribution that is a mixture of the point mass at zero and a continuous distribution with support on the positive real line. A clear example is the daily rainfall data. In this paper, we present a novel…

Methodology · Statistics 2021-06-17 Sai K. Popuri , Nagaraj K. Neerchal , Amita Mehta , Ahmad Mousavi

The generalisation and robustness properties of policies learnt through Maximum-Entropy Reinforcement Learning are investigated on chaotic dynamical systems with Gaussian noise on the observable. First, the robustness under noise…

Machine Learning · Computer Science 2026-02-25 Rémy Hosseinkhan-Boucher , Onofrio Semeraro , Lionel Mathelin

We discuss how the method of maximum entropy, MaxEnt, can be extended beyond its original scope, as a rule to assign a probability distribution, to a full-fledged method for inductive inference. The main concept is the (relative) entropy…

Data Analysis, Statistics and Probability · Physics 2009-11-10 Ariel Caticha

We introduce Implicit Policy, a general class of expressive policies that can flexibly represent complex action distributions in reinforcement learning, with efficient algorithms to compute entropy regularized policy gradients. We…

Machine Learning · Computer Science 2019-02-05 Yunhao Tang , Shipra Agrawal

Inferring a quantum system from incomplete information is a common problem in many aspects of quantum information science and applications, where the principle of maximum entropy (MaxEnt) plays an important role. The quantum state…

Quantum Physics · Physics 2022-07-26 Shi-Yao Hou , Zipeng Wu , Jinfeng Zeng , Ningping Cao , Chenfeng Cao , Youning Li , Bei Zeng

Preserving biodiversity and ecosystem stability is a challenge that can be pursued through modern statistical mechanics modeling. Here we introduce a variational maximum entropy-based algorithm to evaluate the entropy in a minimal ecosystem…

Biological Physics · Physics 2018-10-17 Mattia Miotto , Lorenzo Monacelli

In this work, we consider policy-based methods for solving the reinforcement learning problem, and establish the sample complexity guarantees. A policy-based algorithm typically consists of an actor and a critic. We consider using various…

Machine Learning · Computer Science 2023-01-16 Zaiwei Chen , Siva Theja Maguluri

Recent successful deep reinforcement learning algorithms, such as Trust Region Policy Optimization (TRPO) or Proximal Policy Optimization (PPO), are fundamentally variations of conservative policy iteration (CPI). These algorithms iterate…

Machine Learning · Computer Science 2020-01-27 Erinc Merdivan , Sten Hanke , Matthieu Geist

High level declarative constraints provide a powerful (and popular) way to define and construct control policies; however, most synthesis algorithms do not support specifying the degree of randomness (unpredictability) of the resulting…

Robotics · Computer Science 2021-06-30 Marcell Vazquez-Chanlatte , Sebastian Junges , Daniel J. Fremont , Sanjit Seshia

The entropy is a measure of uncertainty that plays a central role in information theory. When the distribution of the data is unknown, an estimate of the entropy needs be obtained from the data sample itself. We propose a semi-parametric…

Methodology · Statistics 2022-01-06 Stéphane Robin , Luca Scrucca

For the purpose of causal inference we employ a stochastic model of the data generating process, utilizing individual propensity probabilities for the treatment, and also individual and counterfactual prognosis probabilities for the…

Methodology · Statistics 2024-07-15 Brian Knaeble , Mehdi Hakim-Hashemi , Mark A. Abramson

Estimators derived from an EM algorithm are not robust since they are based on the maximization of the likelihood function. We propose a proximal-point algorithm based on the EM algorithm which aim to minimize a divergence criterion.…

Computation · Statistics 2016-07-11 Diaa Al Mohamad , Michel Broniatowski

The Maximum Entropy Modeling Toolkit supports parameter estimation and prediction for statistical language models in the maximum entropy framework. The maximum entropy framework provides a constructive method for obtaining the unique…

cmp-lg · Computer Science 2008-02-03 Eric Sven Ristad

In this paper, we present a probability one convergence proof, under suitable conditions, of a certain class of actor-critic algorithms for finding approximate solutions to entropy-regularized MDPs using the machinery of stochastic…

Machine Learning · Computer Science 2019-10-23 Wesley Suttle , Zhuoran Yang , Kaiqing Zhang , Ji Liu