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Computational methods for fractional differential equations exhibit essential instability. Even a minor modification of the coefficients or other entry data may switch good results to the divergent. The goal of this paper is to suggest the…

Numerical Analysis · Mathematics 2021-12-20 P. B. Dubovski , J. A. Slepoi

In this paper we consider distributed optimization problems in which the cost function is separable, i.e., a sum of possibly non-smooth functions all sharing a common variable, and can be split into a strongly convex term and a convex one.…

Systems and Control · Computer Science 2016-06-27 Ivano Notarnicola , Giuseppe Notarstefano

Performance analysis has always been an afterthought during the application development process, focusing on application correctness first. The learning curve of the existing static and dynamic analysis tools are steep, which requires…

Machine Learning · Computer Science 2021-04-23 Nathan Pinnow , Tarek Ramadan , Tanzima Z. Islam , Chase Phelps , Jayaraman J. Thiagarajan

In display advertising, advertisers want to achieve a marketing objective with constraints on budget and cost-per-outcome. This is usually formulated as an optimization problem that maximizes the total utility under constraints. The…

Computer Science and Game Theory · Computer Science 2024-09-09 Anoop R Katti , Rui C. Gonçalves , Rinchin Iakovlev

Differential machine learning combines automatic adjoint differentiation (AAD) with modern machine learning (ML) in the context of risk management of financial Derivatives. We introduce novel algorithms for training fast, accurate pricing…

Computational Finance · Quantitative Finance 2020-10-01 Brian Huge , Antoine Savine

This paper introduces a new technique for quantifying the approximation error of a broad class of probabilistic inference programs, including ones based on both variational and Monte Carlo approaches. The key idea is to derive a subjective…

Artificial Intelligence · Computer Science 2016-06-02 Marco F Cusumano-Towner , Vikash K Mansinghka

This article presents a resource analysis system for OCaml programs. This system automatically derives worst-case resource bounds for higher-order polymorphic programs with user-defined inductive types. The technique is parametric in the…

Programming Languages · Computer Science 2016-11-03 Jan Hoffmann , Ankush Das , Shu-Chun Weng

Assigning resources in business processes execution is a repetitive task that can be effectively automated. However, different automation methods may give varying results that may not be optimal. Proper resource allocation is crucial as it…

Machine Learning · Computer Science 2021-04-02 Kamil Żbikowski , Michał Ostapowicz , Piotr Gawrysiak

Properties such as provable security and correctness for randomized programs are naturally expressed relationally as approximate equivalences. As a result, a number of relational program logics have been developed to reason about such…

Logic in Computer Science · Computer Science 2024-12-04 Philipp G. Haselwarter , Kwing Hei Li , Alejandro Aguirre , Simon Oddershede Gregersen , Joseph Tassarotti , Lars Birkedal

An experimental comparison of two or more optimization algorithms requires the same computational resources to be assigned to each algorithm. When a maximum runtime is set as the stopping criterion, all algorithms need to be executed in the…

Performance · Computer Science 2024-02-09 Etor Arza , Josu Ceberio , Ekhiñe Irurozki , Aritz Pérez

When an evolving program is modified to address issues related to thread synchronization, there is a need to confirm the change is correct, i.e., it does not introduce unexpected behavior. However, manually comparing two programs to…

Software Engineering · Computer Science 2018-07-17 Chungha Sung , Shuvendu Lahiri , Constantin Enea , Chao Wang

Differentiable programming has recently received much interest as a paradigm that facilitates taking gradients of computer programs. While the corresponding flexible gradient-based optimization approaches so far have been used predominantly…

We propose a randomized a posteriori error estimator for reduced order approximations of parametrized (partial) differential equations. The error estimator has several important properties: the effectivity is close to unity with prescribed…

Numerical Analysis · Mathematics 2019-04-02 Kathrin Smetana , Olivier Zahm , Anthony T Patera

The excessively increased volume of data in modern data management systems demands an improved system performance, frequently provided by data distribution, system scalability and performance optimization techniques. Optimized horizontal…

Machine Learning · Computer Science 2019-11-27 Nino Arsov , Goran Velinov , Aleksandar S. Dimovski , Bojana Koteska , Dragan Sahpaski , Margina Kon-Popovska

We propose a framework for sensitivity analysis of linear programs (LPs) in minimization form, allowing for simultaneous perturbations in the objective coefficients and right-hand sides, where the perturbations are modeled in a compact,…

Optimization and Control · Mathematics 2015-11-10 Guanglin Xu , Samuel Burer

The principal component of conventional database query optimizers is a cost model that is used to estimate expected performance of query plans. The accuracy of the cost model has direct impact on the optimality of execution plans selected…

Databases · Computer Science 2024-09-26 Nikita Vasilenko , Alexander Demin , Denis Ponomaryov

We consider a risk-averse stochastic capacity planning problem under uncertain demand in each period. Using a scenario tree representation of the uncertainty, we formulate a multistage stochastic integer program to adjust the capacity…

Optimization and Control · Mathematics 2024-11-05 Xian Yu , Siqian Shen

A source code difference (diff) indicates changes made by comparing new and old source codes, and it can be utilized in code reviews to help developers understand the changes made to the code. Although many diff generation methods have been…

Software Engineering · Computer Science 2024-09-27 Tsukasa Yagi , Shinpei Hayashi

Standard deep reinforcement learning (DRL) aims to maximize expected reward, considering collected experiences equally in formulating a policy. This differs from human decision-making, where gains and losses are valued differently and…

Machine Learning · Computer Science 2023-11-17 Jared Markowitz , Ryan W. Gardner , Ashley Llorens , Raman Arora , I-Jeng Wang

Different from sequential programs, parallel programs possess their own characteristics which are difficult to analyze in the multi-process or multi-thread environment. This paper presents an innovative method to automatically analyze the…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-06-09 Xu Liu , Jianfeng Zhan , Bibo Tu , Ming Zou , Dan Meng
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