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In this paper, we describe data mining techniques used to extract frequent learning pathways from a large educational dataset. These pathways were extracted as a directed graph that encoded student learning processes. Our dataset contains…

Computers and Society · Computer Science 2017-07-11 Nirmal Patel , Collin Sellman , Derek Lomas

Automated process discovery is a class of process mining methods that allow analysts to extract business process models from event logs. Traditional process discovery methods extract process models from a snapshot of an event log stored in…

Machine Learning · Computer Science 2018-04-10 Volodymyr Leno , Abel Armas-Cervantes , Marlon Dumas , Marcello La Rosa , Fabrizio M. Maggi

Automated and high-throughput quantum chemical investigations into chemical processes have become feasible in great detail and broad scope. This results in an increase in complexity of the tasks and in the amount of generated data. An…

Disentangling the mechanistic details of a chemical reaction pathway is a hard problem that often requires a considerable amount of chemical intuition and a component of luck. Experiments struggle in observing short-life metastable…

Chemical Physics · Physics 2019-08-01 Valerio Rizzi , Dan Mendels , Emilia Sicilia , Michele Parrinello

High-throughput data acquisition in synthetic biology leads to an abundance of data that need to be processed and aggregated into useful biological models. Building dynamical models based on this wealth of data is of paramount importance to…

Systems and Control · Computer Science 2018-09-25 Zoltan A. Tuza , Guy-Bart Stan

We set up a real-time path integral to study the evolution of quantum systems driven in real-time completely by the coupling of the system to the environment. For specifically chosen interactions, this can be interpreted as measurements…

Quantum Physics · Physics 2015-11-04 Debasish Banerjee , Florian Hebenstreit , Fu-Jiun Jiang , Mark Kon , Uwe-Jens Wiese

Transition path theory provides a statistical description of the dynamics of a reaction in terms of local spatial quantities. In its original formulation, it is limited to reactions that consist of trajectories flowing from a reactant set A…

Data Analysis, Statistics and Probability · Physics 2022-09-21 Chatipat Lorpaiboon , Jonathan Weare , Aaron R. Dinner

Random graph models have been instrumental in characterizing complex networks, but chemical reaction networks (CRNs) are better represented as hypergraphs. Traditional models of random CRNs often reduce CRNs to bipartite graphs,…

Statistical Mechanics · Physics 2025-07-15 Shesha Gopal Marehalli Srinivas , Massimiliano Esposito , Nahuel Freitas

An analysis of the network defined by the potential energy minima of multi-atomic systems and their connectivity via reaction pathways that go through transition states allows to understand important characteristics like thermodynamic,…

Materials Science · Physics 2016-08-03 Bastian Schaefer , Stefan Goedecker

Many biochemical and industrial applications involve complicated networks of simultaneously occurring chemical reactions. Under the assumption of mass action kinetics, the dynamics of these chemical reaction networks are governed by systems…

Dynamical Systems · Mathematics 2014-07-15 Matthew D. Johnston

We propose a robust optimization approach for constructing confidence bands for stochastic processes using a finite number of simulated sample paths. Our approach can be used to quantify uncertainty in realizations of stochastic processes…

Optimization and Control · Mathematics 2025-08-13 Timothy Chan , Jangwon Park , Vahid Sarhangian

Stochastic models for chemical reaction networks have become very popular in recent years. For such models, the estimation of parameter sensitivities is an important and challenging problem. Sensitivity values help in analyzing the network,…

Probability · Mathematics 2013-10-08 Ankit Gupta , Mustafa Khammash

In silico tools are important for generating novel hypotheses and exploring alternatives in de novo metabolic pathway design. However, while many computational frameworks have been proposed for retrobiosynthesis, few successful examples of…

Machine Learning · Computer Science 2026-04-16 Peter Zhiping Zhang , Jeffrey D. Varner

The formation of biomolecular materials via dynamical interfacial processes such as self-assembly and fusion, for diverse compositions and external conditions, can be efficiently probed using ensemble Molecular Dynamics. However, this…

We introduce a path sampling method for obtaining statistical properties of an arbitrary stochastic dynamics. The method works by decomposing a trajectory in time, estimating the probability of satisfying a progress constraint, modifying…

Statistical Mechanics · Physics 2015-06-04 Nicholas Guttenberg , Aaron R. Dinner , Jonathan Weare

Computer-assisted synthesis planning aims to help chemists find better reaction pathways faster. Finding viable and short pathways from sugar molecules to value-added chemicals can be modeled as a retrosynthesis planning problem with a…

Other Computer Science · Computer Science 2019-11-19 Peihong Jiang , Hieu Doan , Sandeep Madireddy , Rajeev Surendran Assary , Prasanna Balaprakash

Understanding the dynamical processes that govern the performance of functional materials is essential for the design of next generation materials to tackle global energy and environmental challenges. Many of these processes involve the…

Materials Science · Physics 2019-07-11 Tian Xie , Arthur France-Lanord , Yanming Wang , Yang Shao-Horn , Jeffrey C. Grossman

Internet traffic on a network link can be modeled as a stochastic process. After detecting and quantifying the properties of this process, using statistical tools, a series of mathematical models is developed, culminating in one that is…

Probability · Mathematics 2015-06-26 Konstantinos Drakakis , Dragan Radulovic

Molecular dynamics simulations are an important tool for describing the evolution of a chemical system with time. However, these simulations are inherently held back either by the prohibitive cost of accurate electronic structure theory…

Chemical Physics · Physics 2018-12-20 Michael Gastegger , Philipp Marquetand

We present a differentiable formulation of abstract chemical reaction networks (CRNs) that can be trained to solve a variety of computational tasks. Chemical reaction networks are one of the most fundamental computational substrates used by…

Molecular Networks · Quantitative Biology 2023-02-07 Alexander Mordvintsev , Ettore Randazzo , Eyvind Niklasson
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