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Inference problems in graphical models can be represented as a constrained optimization of a free energy function. It is known that when the Bethe free energy is used, the fixedpoints of the belief propagation (BP) algorithm correspond to…

Machine Learning · Computer Science 2012-06-18 Tamir Hazan , Amnon Shashua

Access to the potential energy Hessian enables determination of the Gibbs free energy, and certain approaches to transition state search and optimization. Here, we demonstrate that off-the-shelf pretrained Open Catalyst Project (OCP)…

Materials Science · Physics 2024-10-08 Brook Wander , Joseph Musielewicz , Raffaele Cheula , John R. Kitchin

Electroencephalography (EEG) provides a non-invasive insight into the brain's cognitive and emotional dynamics. However, modeling how these states evolve in real time and quantifying the energy required for such transitions remains a major…

Machine Learning · Computer Science 2026-04-03 Sriram Sattiraju , Vaibhav Gollapalli , Aryan Shah , Timothy McMahan

Pretrained embeddings based on the Transformer architecture have taken the NLP community by storm. We show that they can mathematically be reframed as a sum of vector factors and showcase how to use this reframing to study the impact of…

Computation and Language · Computer Science 2022-06-09 Timothee Mickus , Denis Paperno , Mathieu Constant

Determining the different conformational states of a protein and the transition paths between them is key to fully understanding the relationship between biomolecular structure and function. This can be accomplished by sampling protein…

Biological Physics · Physics 2021-03-24 Venkata K. Ramaswamy , Chris G. Willcocks , Matteo T. Degiacomi

In this paper, we study a transfer reinforcement learning problem where the state transitions and rewards are affected by the environmental context. Specifically, we consider a demonstrator agent that has access to a context-aware policy…

Machine Learning · Computer Science 2020-03-11 Yan Zhang , Michael M. Zavlanos

We consider the problem of testing positively dependent multiple hypotheses assuming that a prior information about the dependence structure is available. We propose two-step multiple comparisons procedures that exploit the prior…

The overlap of the excited states in quasiparticle random-phase approximation (QRPA) is calculated in order to simulate the overlap of the intermediate nuclear states of the double-beta decay. Our basic idea is to use the like-particle QRPA…

Nuclear Theory · Physics 2015-06-11 J. Terasaki

Atoms or pairs of ions picked up by probe tips used in dynamic force microscopy (DFM) can be strongly displaced and even hop discontinuously upon approach to the sample surface. The energy barriers for some of those hops are of the right…

Mesoscale and Nanoscale Physics · Physics 2014-11-05 B. Ittermann , R. Hoffmann-Vogel , A. Baratoff

When deploying artificial agents in real-world environments where they interact with humans, it is crucial that their behavior is aligned with the values, social norms or other requirements of that environment. However, many environments…

Machine Learning · Computer Science 2023-05-05 Mattijs Baert , Pietro Mazzaglia , Sam Leroux , Pieter Simoens

We introduce a hierarchy of semidefinite relaxations of the set of quantum correlations in generalised contextuality scenarios. This constitutes a simple and versatile tool for bounding the magnitude of quantum contextuality. To illustrate…

Quantum Physics · Physics 2021-06-07 Armin Tavakoli , Emmanuel Zambrini Cruzeiro , Roope Uola , Alastair A. Abbott

Protein folding processes are generally described statistically with the help of multidimensional free energy landscape, typically reduced to a 1-D free energy profile along good reaction co-ordinate. There are many physical parameters…

Biological Physics · Physics 2017-05-04 Debajyoti De , Anurag Singh , Amar Nath Gupta

During a crossover via a switching mechanism from one 2-body potential to another as might be applied in modeling (chemical) reactions in the vicinity of bond formation, energy violations would occur due to finite step size which determines…

Computational Physics · Physics 2007-05-23 Christopher G Jesudason

We propose a hybrid approach aimed at improving the sample efficiency in goal-directed reinforcement learning. We do this via a two-step mechanism where firstly, we approximate a model from Model-Free reinforcement learning. Then, we…

Machine Learning · Computer Science 2019-01-09 Shoubhik Debnath , Gaurav Sukhatme , Lantao Liu

Reliably predicting nuclear properties across the entire chart of isotopes is important for applications ranging from nuclear astrophysics to superheavy science to nuclear technology. To this day, however, all the theoretical models that…

Nuclear Theory · Physics 2025-10-29 Aman Sharma , Nicolas Schunck , Kyle Wendt

The conformational free energy landscape of a system is a fundamental thermodynamic quantity of importance particularly in the study of soft matter and biological systems, in which the entropic contributions play a dominant role. While…

Biological Physics · Physics 2015-10-13 N. Ramakrishnan , Richard W. Tourdot , Ravi Radhakrishnan

Under certain conditions, the dynamics of coarse-grained models of solvated proteins can be described using a Markov state model, which tracks the evolution of populations of configurations. The transition rates among states that appear in…

Soft Condensed Matter · Physics 2022-09-26 Margarita Colberg , Jeremy Schofield

The Free Energy Principle (FEP) states that under suitable conditions of weak coupling, random dynamical systems with sufficient degrees of freedom will behave so as to minimize an upper bound, formalized as a variational free energy, on…

Quantum Physics · Physics 2022-07-21 Chris Fields , Karl Friston , James F. Glazebrook , Michael Levin

Canonical analysis has long been the primary analysis method for studies of phase transitions. However, this approach is not sensitive enough if transition signals are too close in temperature space. The recently introduced generalized…

Soft Condensed Matter · Physics 2023-11-21 Dilimulati Aierken , Michael Bachmann

Counterfactual explanations indicate the smallest change in input that can translate to a different outcome for a machine learning model. Counterfactuals have generated immense interest in high-stakes applications such as finance,…

Machine Learning · Computer Science 2025-03-12 Erfaun Noorani , Pasan Dissanayake , Faisal Hamman , Sanghamitra Dutta