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Implicit Computational Complexity makes two aspects implicit, by manipulating programming languages rather than models of com-putation, and by internalizing the bounds rather than using external measure. We survey how automata theory…

Logic in Computer Science · Computer Science 2015-02-05 Clément Aubert

We present a new method for inferring complexity properties for a class of programs in the form of flowcharts annotated with loop information. Specifically, our method can (soundly and completely) decide if computed values are polynomially…

Programming Languages · Computer Science 2016-07-11 Amir M. Ben-Amram , Aviad Pineles

Integrative Complexity (IC) is a psychometric that measures the ability of a person to recognize multiple perspectives and connect them, thus identifying paths for conflict resolution. IC has been linked to a wide variety of political,…

Computers and Society · Computer Science 2019-06-06 Alexander Robertson , Luca Maria Aiello , Daniele Quercia

This article raises an important and challenging workload characterization issue: can we uncover each critical component across the stacks contributing what percentages to any specific bottleneck? The typical critical components include…

Performance · Computer Science 2023-02-28 Lei Wang , Kaiyong Yang , Chenxi Wang , Wanling Gao , Chunjie Luo , Fan Zhang , Zhongxin Ge , Li Zhang , Guoxin Kang , Jianfeng Zhan

Online model predictive control (MPC) for piecewise affine (PWA) systems requires the online solution to an optimization problem that implicitly optimizes over the switching sequence of PWA regions, for which the computational burden can be…

Systems and Control · Electrical Eng. & Systems 2025-03-27 Samuel Mallick , Azita Dabiri , Bart De Schutter

Mixed integer linear programming (MILP) has seen a sharp rise in use for engineering optimization applications in recent years. Even for initially non-linear problems, it is often the method of choice. Then, the non-linear functions have to…

Optimization and Control · Mathematics 2023-09-20 Felix Birkelbach , David Huber , René Hofmann

The wide adoption of machine learning approaches in the industry, government, medicine and science has renewed the interest in interpretable machine learning: many decisions are too important to be delegated to black-box techniques such as…

Artificial Intelligence · Computer Science 2018-12-06 Dmitry Malioutov , Kuldeep S. Meel

The emergence of in-context learning (ICL) enables large pre-trained language models (PLMs) to make predictions for unseen inputs without updating parameters. Despite its potential, ICL's effectiveness heavily relies on the quality,…

Machine Learning · Computer Science 2024-07-02 Xiaoling Zhou , Wei Ye , Yidong Wang , Chaoya Jiang , Zhemg Lee , Rui Xie , Shikun Zhang

In-context learning (ICL) has proven highly effective across diverse large language model (LLM) tasks. However, its potential for enhancing tasks that demand step-by-step logical deduction, such as mathematical reasoning, remains…

Artificial Intelligence · Computer Science 2026-01-21 Ang Gao , Changshuo Zhang , Xiao Zhang , Deyang Li , Minjun Zhao , Fangchao Liu , Xinyu Zhang

In the framework of Model Predictive Control (MPC), the control input is typically computed by solving optimization problems repeatedly online. For general nonlinear systems, the online optimization problems are non-convex and…

Optimization and Control · Mathematics 2021-03-31 Zheming Wang , Raphaël M. Jungers

This dissertation proves lower bounds on the inherent difficulty of deciding flow analysis problems in higher-order programming languages. We give exact characterizations of the computational complexity of 0CFA, the $k$CFA hierarchy, and…

Programming Languages · Computer Science 2013-11-20 David Van Horn

Weighted model integration (WMI) extends weighted model counting (WMC) in providing a computational abstraction for probabilistic inference in mixed discrete-continuous domains. WMC has emerged as an assembly language for state-of-the-art…

Artificial Intelligence · Computer Science 2020-01-14 Anton Fuxjaeger , Vaishak Belle

In the static analysis of functional programs, pushdown flow analysis and abstract garbage collection skirt just inside the boundaries of soundness and decidability. Alone, each method reduces analysis times and boosts precision by orders…

Programming Languages · Computer Science 2012-07-10 Christopher Earl , Ilya Sergey , Matthew Might , David Van Horn

We propose an approach to design a Model Predictive Controller (MPC) for constrained Linear Time Invariant systems performing an iterative task. The system is subject to an additive disturbance, and the goal is to learn to satisfy state and…

Systems and Control · Electrical Eng. & Systems 2023-06-13 Monimoy Bujarbaruah , Akhil Shetty , Kameshwar Poolla , Francesco Borrelli

Computational complexity is examined using the principle of increasing entropy. To consider computation as a physical process from an initial instance to the final acceptance is motivated because many natural processes have been recognized…

Computational Complexity · Computer Science 2012-03-20 Arto Annila

A good process model is expected not only to reflect the behavior of the process, but also to be as easy to read and understand as possible. Because preferences vary across different applications, numerous measures provide ways to reflect…

Formal Languages and Automata Theory · Computer Science 2024-08-23 Patrizia Schalk , Adam Burke , Robert Lorenz

In a recent paper, the author has shown how Interaction Graphs models for linear logic can be used to obtain implicit characterisations of non-deterministic complexity classes. In this paper, we show how this semantic approach to Implicit…

Computational Complexity · Computer Science 2020-02-04 Thomas Seiller

When attempting to understand the behavior of an executable, a binary analyst can make use of many different techniques. These include program slicing, dynamic instrumentation, binary-level rewriting, symbolic execution, and formal…

This paper addresses the problem of tightening the mixed-integer linear programming (MILP) formulation for continuous piecewise linear (CPWL) approximations of data sets in arbitrary dimensions. The MILP formulation leverages the…

Optimization and Control · Mathematics 2026-01-08 Quentin Ploussard , Xiang Li , Matija Pavičević

Hybrid interpretable models combine a transparent component with a black-box model by assigning some examples to the former and deferring the rest to the latter. While this design enables flexible tradeoffs between accuracy and…

Machine Learning · Computer Science 2026-05-28 Ziba Jabbar Zare , Ulrich Aïvodji , Julien Ferry , Thibaut Vidal