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Self-replicating systems based on information-coding polymers are of crucial importance in biology. They also recently emerged as a paradigm in material design on nano- and micro-scales. We present a general theoretical and numerical…

Soft Condensed Matter · Physics 2015-07-15 Alexei V. Tkachenko , Sergei Maslov

Optimization of machine learning models is commonly performed through stochastic gradient updates on randomly ordered training examples. This practice means that sub-epochs comprise of independent random samples of the training data that…

Machine Learning · Computer Science 2019-06-20 Eliav Buchnik , Edith Cohen , Avinatan Hassidim , Yossi Matias

Learning rate schedules used in practice bear little resemblance to those recommended by theory. We close much of this theory/practice gap, and as a consequence are able to derive new problem-adaptive learning rate schedules. Our main…

Machine Learning · Computer Science 2024-10-31 Aaron Defazio , Ashok Cutkosky , Harsh Mehta , Konstantin Mishchenko

Parallel real-time embedded applications can be modelled as directed acyclic graphs (DAGs) whose nodes model subtasks and whose edges model precedence constraints among subtasks. Efficiently scheduling such parallel tasks can be challenging…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-24 Shardul Lendve , Konstantinos Bletsas , Pedro F. Souto

Many microbial systems are known to actively reshape their proteomes in response to changes in growth conditions induced e.g. by nutritional stress or antibiotics. Part of the re-allocation accounts for the fact that, as the growth rate is…

Molecular Networks · Quantitative Biology 2017-03-03 Matteo Mori , Enzo Marinari , Andrea De Martino

The expansion of biological species in natural environments is usually described as the combined effect of individual spatial dispersal and growth. In the case of aquatic ecosystems flow transport can also be extremely relevant as an extra,…

Biological Physics · Physics 2016-08-30 Francesca Tesser , Jos C. H. Zeegers , Herman J. H. Clercx , Luc Brunsveld , Federico Toschi

Optimal control synthesis in stochastic systems with respect to quantitative temporal logic constraints can be formulated as linear programming problems. However, centralized synthesis algorithms do not scale to many practical systems. To…

Systems and Control · Computer Science 2015-03-26 Jie Fu , Shuo Han , Ufuk Topcu

We present a number of novel algorithms, based on mathematical optimization formulations, in order to solve a homogeneous multiprocessor scheduling problem, while minimizing the total energy consumption. In particular, for a system with a…

Operating Systems · Computer Science 2015-11-13 Mason Thammawichai , Eric C. Kerrigan

Engineering genetic networks to be both predictable and robust is a key challenge in synthetic biology. Synthetic circuits must reliably function in dynamic, stochastic and heterogeneous environments, and simple circuits can be studied to…

Quantitative Methods · Quantitative Biology 2015-06-30 Zach Hensel , Tatiana T. Marquez-Lago

We study scheduling control of parallel processing networks in which some resources need to simultaneously collaborate to perform some activities and some resources multitask. Resource collaboration and multitasking give rise to…

Optimization and Control · Mathematics 2020-12-29 Erhun Özkan

Our understanding of cell division control in bacteria still relies largely on interpreting correlations between phenomenological variables, with limited connection to the underlying molecular mechanisms. Here, we analytically solve a…

The paper considers the optimal control problem of inventory of a discrete product in regeneration scheme with a Poisson flow of customer requirements. In the system deferred demand is allowed, the volume of which is limited by a given…

Optimization and Control · Mathematics 2020-01-31 P. V. Shnurkov , N. A. Vakhtanov

To manipulate the protein population at certain functional state through chemical stabilizers is crucial for protein-related studies. It not only plays a key role in protein structure analysis and protein folding kinetics, but also affects…

Biomolecules · Quantitative Biology 2024-08-13 Mengshou Wang , Liangrong Pengb , Baoguo Jia , Liu Hong

The optimal allocation of replicas to a homogeneous or heterogenous set of processors is derived for parallel tempering simulations on multi-processor machines. In the general case, it is possible without substantially increasing wall clock…

Computational Physics · Physics 2007-05-23 David J. Earl , Michael W. Deem

Experimentalists have observed phenotypic variability in isogenic bacteria populations. We explore the hypothesis that in fluctuating environments this variability is tuned to maximize a bacterium's expected log growth rate, potentially…

Populations and Evolution · Quantitative Biology 2018-07-25 Sarah E. Marzen , James P. Crutchfield

Exemplar-based class-incremental learning is to recognize new classes while not forgetting old ones, whose samples can only be saved in limited memory. The ratio fluctuation of new samples to old exemplars, which is caused by the variation…

Computer Vision and Pattern Recognition · Computer Science 2022-02-22 Zhiheng Liu , Kai Zhu , Yang Cao

In a standard optimization approach, the underlying process model is first identified at a given set of operating conditions and this updated model is, then, used to calculate the optimal conditions for the process. This two-step procedure…

Optimization and Control · Mathematics 2015-08-27 Jasdeep S. Mandur , Hector M. Budman

Applications in science and engineering often require huge computational resources for solving problems within a reasonable time frame. Parallel supercomputers provide the computational infrastructure for solving such problems. A…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Rajesh Sudarsan , Calvin J. Ribbens

Generative models trained on synthetic plan data are a promising approach to generalized planning. Recent work has focused on finding any valid plan, rather than a high-quality solution. We address the challenge of producing high-quality…

The distributed schedule optimization of energy storage constitutes a challenge. Such algorithms often expect an input set containing all feasible schedules or respectively require to efficiently search the schedule space. It is hardly…

Multiagent Systems · Computer Science 2022-11-07 Rico Schrage , Paul Hendrik Tiemann , Astrid Nieße