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Tree ensembles, such as random forest and boosted trees, are renowned for their high prediction performance, whereas their interpretability is critically limited. In this paper, we propose a post processing method that improves the model…

Machine Learning · Statistics 2016-06-20 Satoshi Hara , Kohei Hayashi

We argue that protein native state structures reside in a novel "phase" of matter which confers on proteins their many amazing characteristics. This phase arises from the common features of all globular proteins and is characterized by a…

Biomolecules · Quantitative Biology 2012-04-13 Jayanth R. Banavar , Trinh X. Hoang , Flavio Seno , Antonio Trovato , Amos Maritan

Proteins are miniature machines whose function depends on their three-dimensional (3D) structure. Determining this structure computationally remains an unsolved grand challenge. A major bottleneck involves selecting the most accurate…

Quantitative Methods · Quantitative Biology 2020-11-30 Stephan Eismann , Patricia Suriana , Bowen Jing , Raphael J. L. Townshend , Ron O. Dror

The problem of inferring proteins from complex peptide cocktails (digestion products of biological samples) in shotgun proteomic workflow sets extreme demands on computational resources in respect of the required very high processing…

Computational Engineering, Finance, and Science · Computer Science 2014-12-30 S. M. Vidanagamachchi , S. D. Dewasurendra , R. G. Ragel , M. Niranjan

The assumption that similar structures have similar folding probabilities ($p_{fold}$) leads naturally to a procedure to evaluate $p_{fold}$ for every snapshot saved along an equilibrium folding-unfolding trajectory of a structured peptide…

Biomolecules · Quantitative Biology 2009-11-11 Francesco Rao , Giovanni Settanni , Enrico Guarnera , Amedeo Caflisch

Proteins are sequences of amino acids that serve as the basic building blocks of living organisms. Despite rapidly growing databases documenting structural and functional information for various protein sequences, our understanding of…

Biomolecules · Quantitative Biology 2025-01-06 Weihang Dai

Application of interpretable machine learning techniques on medical datasets facilitate early and fast diagnoses, along with getting deeper insight into the data. Furthermore, the transparency of these models increase trust among…

Machine Learning · Computer Science 2025-06-05 Sreejita Ghosh , Elizabeth S. Baranowski , Michael Biehl , Wiebke Arlt , Peter Tino , Kerstin Bunte

How we choose to represent our data has a fundamental impact on our ability to subsequently extract information from them. Machine learning promises to automatically determine efficient representations from large unstructured datasets, such…

Biomolecules · Quantitative Biology 2022-05-31 Nicki Skafte Detlefsen , Søren Hauberg , Wouter Boomsma

How to estimate heterogeneity, e.g. the effect of some variable differing across observations, is a key question in political science. Methods for doing so make simplifying assumptions about the underlying nature of the heterogeneity to…

Methodology · Statistics 2021-03-31 Max Goplerud

Complex systems are fascinating because their rich macroscopic properties emerge from the interaction of many simple parts. Understanding the building principles of these emergent phenomena in nature requires assessing natural complex…

Neurons and Cognition · Quantitative Biology 2022-11-17 Anna Levina , Viola Priesemann , Johannes Zierenberg

This review is a tutorial for scientists interested in the problem of protein structure prediction, particularly those interested in using coarse-grained molecular dynamics models that are optimized using lessons learned from the energy…

Biomolecules · Quantitative Biology 2014-01-06 N. P. Schafer , B. L. Kim , W. Zheng , P. G. Wolynes

Tokenization is a promising path to multi-modal models capable of jointly understanding protein sequences, structure, and function. Existing protein structure tokenizers create tokens by pooling information from local neighborhoods, an…

Machine Learning · Computer Science 2026-02-09 Rohit Dilip , Ayush Varshney , David Van Valen

We present a model, based on symmetry and geometry, for proteins. Using elementary ideas from mathematics and physics, we derive the geometries of discrete helices and sheets. We postulate a compatible solvent-mediated emergent pairwise…

Soft Condensed Matter · Physics 2023-06-21 Jayanth R. Banavar , Achille Giacometti , Trinh X. Hoang , Amos Maritan , Tatjana Škrbić

Novel numerical techniques, validated by an analysis of barnase and chymotrypsin inhibitor, are used to elucidate the paramount role played by the geometry of the protein backbone in steering the folding to the correct native state. It is…

Statistical Mechanics · Physics 2009-10-31 Cristian Micheletti , Jayanth R. Banavar , Amos Maritan , Flavio Seno

We present a statistical mechanics approach to the protein folding problem. We first review some of the basic properties of proteins, and introduce some physical models to describe their thermodynamics. These models rely on a random…

Disordered Systems and Neural Networks · Physics 2008-02-03 T. Garel , H. Orland , E. Pitard

Many complex systems in nature and society can be described in terms of networks capturing the intricate web of connections among the units they are made of. A key question is how to interpret the global organization of such networks as the…

Physics and Society · Physics 2007-05-23 Gergely Palla , Imre Derenyi , Illes Farkas , Tamas Vicsek

Folding and aggregation of proteins, the interaction between proteins and membranes, as well as the adsorption of organic soft matter to inorganic solid substrates belong to the most interesting challenges in understanding structure and…

Soft Condensed Matter · Physics 2007-12-06 Michael Bachmann , Wolfhard Janke

A novel approach for structure alignment is presented, where the key ingredients are: (1) An error function formulation of the problem simultaneously in terms of binary (Potts) assignment variables and real-valued atomic coordinates. (2)…

Biological Physics · Physics 2007-05-23 M. Ohlsson , C. Peterson , M. Ringner , R. Blankenbecler

Protein structure prediction and folding are fundamental to understanding biology, with recent deep learning advances reshaping the field. Diffusion-based generative models have revolutionized protein design, enabling the creation of novel…

Machine Learning · Computer Science 2025-10-01 Yogesh Verma , Markus Heinonen , Vikas Garg

Model error estimation remains one of the key challenges in uncertainty quantification and predictive science. For computational models of complex physical systems, model error, also known as structural error or model inadequacy, is often…

Computation · Statistics 2024-03-28 Khachik Sargsyan , Xun Huan , Habib N. Najm