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Identifying important components or factors in large amounts of noisy data is a key problem in machine learning and data mining. Motivated by a pattern decomposition problem in materials discovery, aimed at discovering new materials for…

Artificial Intelligence · Computer Science 2014-12-01 Stefano Ermon , Ronan Le Bras , Santosh K. Suram , John M. Gregoire , Carla Gomes , Bart Selman , Robert B. van Dover

This paper studies the problem of decomposing a low-rank matrix into a factor with binary entries, either from $\{\pm 1\}$ or from $\{0,1\}$, and an unconstrained factor. The research answers fundamental questions about the existence and…

Data Structures and Algorithms · Computer Science 2019-08-01 Richard Kueng , Joel A. Tropp

Recently, \cite{Cao:2025hio} demonstrated the $2$-split for form factor under specific kinematic constraints. This factorization is analogous to that observed in scattering amplitudes. A key consequence of this structure is the presence of…

High Energy Physics - Theory · Physics 2025-12-09 Liang Zhang

In the framework of the kt-factorization approach, the production of prompt photons in association with a heavy (charm or beauty) quarks at high energies is studied. The consideration is based on the O(\alpha \alpha_s^2) off-shell…

High Energy Physics - Phenomenology · Physics 2013-02-11 A. V. Lipatov , M. A. Malyshev , N. P. Zotov

Though there have been hundreds of methods on solving rational spectral factorization, most of them are based on a positive definite density matrix assumption. In this work, we propose a novel approach on the spectral factorization of a…

Algebraic Geometry · Mathematics 2023-08-15 Wenqi Cao , Anders Lindquist

We present a preliminary non-perturbative lattice calculation of the form factors entering the processes $K\to \ell\,\nu_\ell\,\ell'^+\,\ell'^-$ and of the corresponding branching ratios. These form factors describe the interaction between…

High Energy Physics - Lattice · Physics 2022-01-12 R. Frezzotti , G. Gagliardi , V. Lubicz , G. Martinelli , F. Mazzetti , C. Sachrajda , F. Sanfilippo , S. Simula , N. Tantalo

Structured distributions, i.e. distributions over combinatorial spaces, are commonly used to learn latent probabilistic representations from observed data. However, scaling these models is bottlenecked by the high computational and memory…

Computation and Language · Computer Science 2022-01-11 Justin T. Chiu , Yuntian Deng , Alexander M. Rush

Single top quark is mainly produced through the $t$-channel W boson exchange $q + b \rightarrow q' + t$ at LHC. This process probes Wtb vertex directly and can be used to measure the CKM matrix element $V_{tb}$ or to constrain the bottom…

High Energy Physics - Phenomenology · Physics 2022-07-22 Christian Brønnum-Hansen , Jérémie Quarroz , Chiara Signorile-Signorile , Chen-Yu Wang

We study the possibility to analyse the data on inclusive prompt photon production at first LHC runs in the framework of the kt-factorization QCD approach. Our consideration is based on the amplitude for the production of a single photon…

High Energy Physics - Phenomenology · Physics 2011-04-20 A. V. Lipatov , M. A. Malyshev , N. P. Zotov

The remarkable properties of the real scalar quartic quantum field theory on the Moyal plane in combination with its similarity to the Kontsevich model make the model's partition function an interesting object to study. However, direct…

Mathematical Physics · Physics 2019-09-04 Jins de Jong , Raimar Wulkenhaar

We present a discrete-time algorithm for nonuniform sampling rate conversion that presents low computational complexity and memory requirements. It generalizes arbitrary sampling rate conversion by accommodating time-varying conversion…

Signal Processing · Electrical Eng. & Systems 2021-05-17 Pablo Martínez-Nuevo

We present a systematic, quasi-automated methodology for generating electronic models in the framework of second-principles density functional theory (SPDFT). This approach enables the construction of accurate and computationally efficient…

We derive a factorization formula for inclusive jet production in heavy-ion collisions using the tools of Effective Field Theory (EFT). We show how physics at widely separated scales in this process can be systematically separated by…

High Energy Physics - Phenomenology · Physics 2025-04-02 Yacine Mehtar-Tani , Felix Ringer , Balbeer Singh , Varun Vaidya

We investigate structure functions in deep inelastic scattering processes (DIS) at Bj\"{o}rken limit and found that they are factorized into the longitudinal and transversal parts. We see that the longitudinal part can be linked to exact…

High Energy Physics - Phenomenology · Physics 2025-03-18 H. Babujian , M. Karowski , A. Sedrakyan

In the present paper, we consider processes involving the emission of soft photons in the presence of a strong laser field. We demonstrate that the matrix element $S$ for a process $\text{i} \rightarrow \text{f} + \gamma$, with a soft…

High Energy Physics - Phenomenology · Physics 2024-04-04 P. A. Krachkov

Using the formalism of soft-collinear effective theory, a complete separation of short- and long-distance contributions to heavy-to-light transition form factors at large recoil is performed. The universal functions $\zeta_M(E)$…

High Energy Physics - Phenomenology · Physics 2010-04-05 Bjorn O. Lange , Matthias Neubert

The integration of machine learning and robotics into thin film deposition is transforming material discovery and optimization. However, challenges remain in achieving a fully autonomous cycle of deposition, characterization, and…

Materials Science · Physics 2026-02-24 Yuanlong Zheng , Connor Blake , Layla Mravac , Fengxue Zhang , Yuxin Chen , Shuolong Yang

We consider the prompt photon production at high energy hadron colliders in the framework of k_T-factorization approach. The unintegrated quark and gluon distributions in a proton are determined using the Kimber-Martin-Ryskin prescription.…

High Energy Physics - Phenomenology · Physics 2011-03-23 A. V. Lipatov , N. P. Zotov

Number theory is considered, by proposing quantum mechanical models and string-like models at zero and finite temperatures, where the factorization of number into prime numbers is viewed as the decay of particle into elementary particles…

General Physics · Physics 2014-11-18 Akio Sugamoto

In this talk, we review a QCD factorization based approach to extract parton distribution and correlation functions from lattice QCD calculation of single hadron matrix elements of quark-gluon operators. We argue that although the lattice…

High Energy Physics - Phenomenology · Physics 2015-06-23 Yan-Qing Ma , Jian-Wei Qiu