Integer (computer science) ≈ Integer (computer science)
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The On-Line Encyclopedia of Integer Sequences Open
The recent history of The On-Line Encyclopedia of Integer Sequences (or OEIS), describing developments since 2009, and discussing recent sequences involving interesting unsolved problems and in many cases spectacular illustrations.These in…
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Numerical Solution of Fractional Differential Equations: A Survey and a Software Tutorial Open
Solving differential equations of fractional (i.e., non-integer) order in an accurate, reliable and efficient way is much more difficult than in the standard integer-order case; moreover, the majority of the computational tools do not prov…
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Mixed-Integer-Linear-Programming-Based Energy Management System for Hybrid PV-Wind-Battery Microgrids: Modeling, Design, and Experimental Verification Open
Microgrids are energy systems that aggregate distributed energy resources, loads, and power electronics devices in a stable and balanced way. They rely on energy management systems to schedule optimally the distributed energy resources. Co…
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Theoretical Guarantees for Approximate Sampling from Smooth and Log-Concave Densities Open
Summary Sampling from various kinds of distribution is an issue of paramount importance in statistics since it is often the key ingredient for constructing estimators, test procedures or confidence intervals. In many situations, exact samp…
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Exact excited states of nonintegrable models Open
We discuss a method of numerically identifying exact energy eigenstates for a finite system, whose form can then be obtained analytically. We demonstrate our method by identifying and deriving exact analytic expressions for several excited…
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The On-Line Encyclopedia of Integer Sequences Open
The recent history of The On-Line Encyclopedia of Integer Sequences (or OEIS), describing developments since 2009, and discussing recent sequences involving interesting unsolved problems and in many cases spectacular illustrations.These in…
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Resilience Enhancement of Distribution Grids Against Extreme Weather Events Open
This paper proposes a resilience-oriented design (ROD) technique to protect distribution grids against high-impact but low-probability extreme weather events. The problem is formulated as a two-stage stochastic mixed-integer problem. The f…
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Coordinating Multiple Sources for Service Restoration to Enhance Resilience of Distribution Systems Open
When a major outage occurs on a distribution system due to extreme events, microgrids, distributed generators, and other local resources can be used to restore critical loads and enhance resiliency. This paper proposes a decision-making me…
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The on-line encyclopedia of integer sequences Open
The On-Line Encyclopedia of Integer Sequences (or OEIS) is a database of some 130000 number sequences. It is freely available on the Web (http://www.research.att.com/~njas/sequences/) and is widely used. There are several ways in which it …
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On Fractional Operators and Their Classifications Open
Fractional calculus dates its inception to a correspondence between Leibniz and L’Hopital in 1695, when Leibniz described “paradoxes” and predicted that “one day useful consequences will be drawn” from them. In today’s world, the study of …
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Training and Inference with Integers in Deep Neural Networks Open
Researches on deep neural networks with discrete parameters and their deployment in embedded systems have been active and promising topics. Although previous works have successfully reduced precision in inference, transferring both trainin…
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Light-ray operators in conformal field theory Open
We argue that every CFT contains light-ray operators labeled by a continuous spin J. When J is a positive integer, light-ray operators become integrals of local operators over a null line. However for non-integer J , light-ray operators ar…
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Quantization and Training of Neural Networks for Efficient Integer-Arithmetic-Only Inference Open
The rising popularity of intelligent mobile devices and the daunting computational cost of deep learning-based models call for efficient and accurate on-device inference schemes. We propose a quantization scheme that allows inference to be…
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Training and Inference with Integers in Deep Neural Networks Open
Researches on deep neural networks with discrete parameters and their deployment in embedded systems have been active and promising topics. Although previous works have successfully reduced precision in inference, transferring both trainin…
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A New Truncated M-Fractional Derivative Type Unifying Some Fractional Derivative Types with Classical Properties Open
We introduce a truncated $M$-fractional derivative type for $\alpha$-differentiable functions that generalizes four other fractional derivatives types recently introduced by Khalil et al., Katugampola and Sousa et al., the so-called confor…
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A generalization of truncated M-fractional derivative and applications to fractional differential equations Open
In this paper, our aim is to generalize the truncated M-fractional derivative which was recently introduced [Sousa and de Oliveira, A new truncated M-fractional derivative type unifying some fractional derivative types with classical prope…
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Online Energy Management Strategy of Fuel Cell Hybrid Electric Vehicles: A Fractional-Order Extremum Seeking Method Open
In this paper, an online energy management control strategy is proposed based on a novel fractional-order extremum seeking (ES) method. The proposed method is an online adaptive optimization algorithm, which can be effectively used in the …
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Iwasawa Theory for $p$-adic Representations Open
Greenbergfor certain constants av, av•• We write the functional equation in the above way to focus on the behavior of Lv(s) at s= 1, which seems convenient for formulating our conjectures and results.But replacing V by the Tate twist V(l-n…
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An independent set degree condition for fractional critical deleted graphs Open
Let $i≥2$, $Δ≥0$, $1≤ a≤ b-Δ$, $n>\frac{(a+b)(ib+2m-2)}{a}+n'$ and $δ(G)≥\frac{b^{2}}{a}+n'+2m$, and let $g,f$ be two integer-valued functions defined on $V(G)$ such that $a≤ g(x)≤ f(x)-Δ≤ b-Δ$ for each $x∈ V(G)$. In this article, it is de…
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High-Speed Finite Control Set Model Predictive Control for Power Electronics Open
Common approaches for direct model predictive control (MPC) for current\nreference tracking in power electronics suffer from the high computational\ncomplexity encountered when solving integer optimal control problems over long\nprediction…
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Extended Comparisons of Best Subset Selection, Forward Stepwise Selection, and the Lasso Open
In exciting new work, Bertsimas et al. (2016) showed that the classical best subset selection problem in regression modeling can be formulated as a mixed integer optimization (MIO) problem. Using recent advances in MIO algorithms, they dem…
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A New General-Purpose Algorithm for Mixed-Integer Bilevel Linear Programs Open
Bilevel optimization problems are very challenging optimization models arising in many important practical contexts, including pricing mechanisms in the energy sector, airline and telecommunication industry, transportation networks, critic…
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FOPID Controllers and Their Industrial Applications: A Survey of Recent Results 1 1This study is based upon works from COST Action CA15225, a network supported by COST (European Cooperation in Science and Technology). Open
The interest towards using Fractional-order (FO) PID controllers in the industry is mainly fueled by the fact that these controllers have two additional “tuning knobs” that can be used to adjust the control law in a way that would benefit …
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Joint Reasoning for Temporal and Causal Relations Open
Understanding temporal and causal relations between events is a fundamental natural language understanding task. Because a cause must occur earlier than its effect, temporal and causal relations are closely related and one relation often d…
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Integer multiplication in time $O(n\mathrm{log}\, n)$ Open
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On Mixed-Integer Programming Formulations for the Unit Commitment Problem Open
We provide a comprehensive overview of mixed-integer programming formulations for the unit commitment (UC) problem. UC formulations have been an especially active area of research over the past 12 years due to their practical importance in…
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Convex Relaxations for Gas Expansion Planning Open
Expansion of natural gas networks is a critical process involving substantial capital expenditures with complex decision-support requirements. Given the nonconvex nature of gas transmission constraints, global optimality and infeasibility …
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Almost-polynomial ratio ETH-hardness of approximating densest k-subgraph Open
In the Densest k-Subgraph (DkS) problem, given an undirected graph G and an integer k, the goal is to find a subgraph of G on k vertices that contains maximum number of edges. Even though Bhaskara et al.'s state-of-the-art algorithm for th…
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Course Match: A Large-Scale Implementation of Approximate Competitive Equilibrium from Equal Incomes for Combinatorial Allocation Open
Combinatorial allocation involves assigning bundles of items to agents when the use of money is not allowed. Course allocation is one common application of combinatorial allocation, in which the bundles are schedules of courses and the ass…
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Privacy-Preserving Distributed Averaging via Homomorphically Encrypted Ratio Consensus Open
In this article, we develop distributed iterative algorithms that enable the components of a multicomponent system, each with some integer initial value, to asymptotically compute the average of their initial values, without having to reve…