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To solve unmodeled optimization problems with hard constraints, this paper proposes a novel zeroth-order approach called Safe Zeroth-order Optimization using Linear Programs (SZO-LP). The SZO-LP method solves a linear program in each…

Optimization and Control · Mathematics 2023-04-05 Baiwei Guo , Yang Wang , Yuning Jiang , Maryam Kamgarpour , Giancarlo Ferrari-Trecate

We introduce Evolutionary Ensemble (EvE), a decentralized framework that organizes existing, highly capable coding agents into a live, co-evolving system for algorithmic discovery. Rather than reinventing the wheel within the "LLMs as…

Neural and Evolutionary Computing · Computer Science 2026-05-15 Zongmin Yu , Liu Yang

Existing open-source modeling frameworks dedicated to energy systems optimization typically utilize (mixed-integer) linear programming ((MI)LP) formulations, which lack modeling freedom for technical system design and operation. We present…

The evolution kernels that govern the scale dependence of the generalized parton distributions are invariant under transformations of the $\mathrm{SL}(2,\mathrm R)$ collinear subgroup of the conformal group. Beyond one loop the symmetry…

High Energy Physics - Phenomenology · Physics 2024-04-01 Yao Ji , Alexander Manashov , Sven-Olaf Moch

The polarized distribution functions of mesons, including pion, kaon and eta, using the proton structure function, are calculated. We are looking for a relationship between the polarized distribution of mesons and the polarized structure of…

High Energy Physics - Phenomenology · Physics 2015-06-19 A. Mirjalili , K. Keshavarzian

A new QCD analysis for nuclear parton distribution functions (nPDFs) at next-to-leading order (NLO) and next-to-next-to-leading order (NNLO) is presented. The framework of the analysis, including the form of the parameterization as well as…

High Energy Physics - Phenomenology · Physics 2019-08-15 Marina Walt , Ilkka Helenius , Werner Vogelsang

We review recent progress towards a determination of a set of polarized parton distributions from a global set of deep-inelastic scattering data based on the NNPDF methodology, in analogy with the unpolarized case. This method is designed…

High Energy Physics - Phenomenology · Physics 2010-11-19 J. Rojo , G. Ridolfi , R. D. Ball , V. Bertone , F. Cerutti , L. Del Debbio , S. Forte , A. Guffanti , J. I. Latorre , M. Ubiali

Recent LLM-guided evolutionary search methods have shown that iterative program mutation can discover strong algorithms, but they typically optimize each task independently, even when related tasks share reusable structure. We introduce…

Machine Learning · Computer Science 2026-05-22 Halil Alperen Gozeten , Xuechen Zhang , Emrullah Ildiz , Ege Onur Taga , Tara Javidi , Samet Oymak

This paper analises distributed evolutionary computation based on the Representational State Transfer (REST) protocol, which overlays a farming model on evolutionary computation. An approach to evolutionary distributed optimisation of…

Neural and Evolutionary Computing · Computer Science 2011-05-26 P. A. Castillo , M. G. Arenas , A. M. Mora , J. L. J. Laredo , G. Romero , V. M Rivas , J. J. Merelo

Dihadron fragmentation functions and their evolution are studied in the process of $e^+e^-$ annihilation. Under the collinear factorization approximation and facilitated by the cut-vertex technique, the two hadron inclusive cross section at…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. Majumder , Xin-Nian Wang

Measurements of Deep Inelastic Scattering (DIS) provide a powerful tool to probe the fundamental structure of protons and other nuclei. The DIS cross sections can be expressed in terms of structure functions which are conventionally…

High Energy Physics - Phenomenology · Physics 2023-07-06 Tuomas Lappi , Heikki Mäntysaari , Hannu Paukkunen , Mirja Tevio

By considering semi-inclusive deep-inelastic scattering and the (complementary) $q_T$-spectrum for Drell-Yan lepton pair production we derive the QCD evolution for all the leading-twist transverse momentum dependent distribution and…

High Energy Physics - Phenomenology · Physics 2014-07-10 Miguel G. Echevarria , Ahmad Idilbi , Ignazio Scimemi

In the Shannon lecture at the 2019 International Symposium on Information Theory (ISIT), Ar{\i}kan proposed to employ a one-to-one convolutional transform as a pre-coding step before the polar transform. The resulting codes of this…

Information Theory · Computer Science 2024-01-19 Mohammad Rowshan , Andreas Burg , Emanuele Viterbo

We introduce a novel kernel learning framework toward efficiently solving nonlinear partial differential equations (PDEs). In contrast to the state-of-the-art kernel solver that embeds differential operators within kernels, posing…

Machine Learning · Computer Science 2025-06-09 Zhitong Xu , Da Long , Yiming Xu , Guang Yang , Shandian Zhe , Houman Owhadi

Ensemble learning consistently improves the performance of multi-class classification through aggregating a series of base classifiers. To this end, data-independent ensemble methods like Error Correcting Output Codes (ECOC) attract…

Computer Vision and Pattern Recognition · Computer Science 2020-12-16 Hao Zhang , Joey Tianyi Zhou , Tianying Wang , Ivor W. Tsang , Rick Siow Mong Goh

An analytical solution of the QCD evolution equations for the singlet and gluon distribution is presented. We decouple DGLAP evolution equations into the initial conditions by using a Laplace transform method at $N^{n}LO$ analysis. The…

High Energy Physics - Phenomenology · Physics 2019-05-13 B. Rezaei , G. R. Boroun

As a typical model-based evolutionary algorithm (EA), estimation of distribution algorithm (EDA) possesses unique characteristics and has been widely applied to global optimization. However, the common-used Gaussian EDA (GEDA) usually…

Neural and Evolutionary Computing · Computer Science 2018-08-01 Yongsheng Liang , Zhigang Ren , Xianghua Yao , Zuren Feng , An Chen

Evolutionary Strategies (ES) are a popular family of black-box zeroth-order optimization algorithms which rely on search distributions to efficiently optimize a large variety of objective functions. This paper investigates the potential…

Neural and Evolutionary Computing · Computer Science 2019-02-01 Louis Faury , Clement Calauzenes , Olivier Fercoq , Syrine Krichen

Here we propose an evolutionary algorithm that self modifies its operators at the same time that candidate solutions are evolved. This tackles convergence and lack of diversity issues, leading to better solutions. Operators are represented…

Neural and Evolutionary Computing · Computer Science 2017-12-19 Andres Felipe Cruz Salinas , Jonatan Gomez Perdomo

By working in QED, we obtain the electron, positron, and photon Parton Distribution Functions (PDFs) of the unpolarised electron at the next-to-leading logarithmic accuracy. The PDFs account for all of the universal effects of initial-state…

High Energy Physics - Phenomenology · Physics 2022-07-26 V. Bertone , M. Cacciari , S. Frixione , G. Stagnitto