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We propose an extension of a special form of gradient descent -- in the literature known as linearised Bregman iteration -- to a larger class of non-convex functions. We replace the classical (squared) two norm metric in the gradient…

Optimization and Control · Mathematics 2021-05-26 Martin Benning , Marta M. Betcke , Matthias J. Ehrhardt , Carola-Bibiane Schönlieb

In this paper, we propose a new optimization framework, the layer separation (LySep) model, to improve the deep learning-based methods in solving partial differential equations. Due to the highly non-convex nature of the loss function in…

Machine Learning · Computer Science 2025-07-18 Yaru Liu , Yiqi Gu

Ultracold dipolar particles pinned in optical lattices or tweezers provide an excellent platform for studying out-of-equilibrium quantum magnetism with dipole-mediated couplings. Starting with an initial state with spins of opposite…

Because the distant retrograde orbits dynamics inherently depends on special functions, approximate analytical solutions in the literature are commonly constrained to providing rough approximations of the qualitative behavior. We rely on…

Dynamical Systems · Mathematics 2021-06-01 Martin Lara

We present a general technique for the analysis of first-order methods. The technique relies on the construction of a duality gap for an appropriate approximation of the objective function, where the function approximation improves as the…

Optimization and Control · Mathematics 2019-12-12 Jelena Diakonikolas , Lorenzo Orecchia

The subject of this introductory course is transverse dynamics of charged particle beams in linear approximation. Starting with a discussion of the most important types of magnets and defining their multipole strengths, the linearized…

Accelerator Physics · Physics 2021-12-09 Wolfgang Hillert

Speculative decoding accelerates LLM inference by having a small drafter propose tokens that a larger target model verifies in parallel. Recent diffusion-based parallel drafters such as DFlash predict the full B-token block in one forward…

Machine Learning · Computer Science 2026-05-20 Tianyu Wu , Yu Yao , Zhenting Qi , Han Zheng , Zhuohan Wang , Haoran Ma , Lawrence Liao , Himabindu Lakkaraju , Ju Li , Yilun Du

The length spectra of flat three-dimensional dielectric resonators of circular shape were determined from a microwave experiment. They were compared to a semiclassical trace formula obtained within a two-dimensional model based on the…

Optics · Physics 2012-02-03 S. Bittner , E. Bogomolny , B. Dietz , M. Miski-Oglu , A. Richter

Structured dilated attention has an appealing inference-time efficiency knob: it reduces the FLOPs of attention and the KV cache size by a factor of the dilation size D, while preserving long-range connectivity. While prior work studies it…

Machine Learning · Computer Science 2026-05-29 Xiuying Wei , Caglar Gulcehre

We consider a Hamiltonian chain of rotators (in general nonlinear) in which the first rotator is damped. Being motivated by problems of nonequilibrium statistical mechanics of crystals, we construct a strict Lyapunov function that allows us…

Dynamical Systems · Mathematics 2024-07-01 Andrey Dymov , Lev Lokutsievskiy , Andrey Sarychev

We obtain the next-to-next-to-leading order corrections to transverse-momentum spectra of W, Z and Higgs bosons near the partonic threshold. In the threshold limit, the electroweak boson recoils against a low-mass jet and all radiation is…

High Energy Physics - Phenomenology · Physics 2015-06-17 Thomas Becher , Guido Bell , Christian Lorentzen , Stefanie Marti

As large language models (LLMs) scale up, accuracy improves, but the autoregressive (AR) nature of decoding increases latency since each token requires a serial forward pass. Speculative decoding addresses this by employing a fast drafter…

Computation and Language · Computer Science 2025-10-06 Guanghao Li , Zhihui Fu , Min Fang , Qibin Zhao , Ming Tang , Chun Yuan , Jun Wang

Measurements of the $R_{D^*}\equiv\mathrm{Br}(B\rightarrow \tau\nu D^*)/\mathrm{Br}(B\rightarrow e\nu D^*)$ parameter remain in tension with the standard model prediction, despite recent results helping to close the gap. The standard model…

High Energy Physics - Phenomenology · Physics 2019-05-10 J. E. Chavez-Saab , Genaro Toledo

Up to now, jet kinematic studies of radio quasars have barely reached beyond the redshift range at $z>3.5$. This significantly limits our knowledge of high-redshift jets, which can provide key information for understanding the jet nature…

High Energy Astrophysical Phenomena · Physics 2023-03-20 Yingkang Zhang , Tao An , Sandor Frey , Krisztina Eva Gabanyi , Yulia Sotnikova

This article introduces the "chart & chirp" method of one-shot, in situ VCO tuning curve estimation, learning, and predistortion, which provides an alternative to prevailing LMS-based background calibration loops. The proposed approach…

Signal Processing · Electrical Eng. & Systems 2026-05-26 Averal N. Kandala , Ali M. Niknejad

Concerning bivariate least squares linear regression, the classical results obtained for extreme structural models in earlier attempts are reviewed using a new formalism in terms of deviation (matrix) traces which, for homoscedastic data,…

Instrumentation and Methods for Astrophysics · Physics 2017-11-17 R. Caimmi

We calculate full one-loop corrections to the genuine three-body decays of the light chargino \chi_1^\pm to \chi^0_1 l^\pm \nu in the Minimal Supersymmetric Standard Model. We find that the corrections to the decay width can be of the order…

High Energy Physics - Phenomenology · Physics 2007-10-17 Krzysztof Rolbiecki

We consider estimation of a step function $f$ from noisy observations of a deconvolution $\phi*f$, where $\phi$ is some bounded $L_1$-function. We use a penalized least squares estimator to reconstruct the signal $f$ from the observations,…

Statistics Theory · Mathematics 2008-12-18 Leif Boysen , Axel Munk

Many Beyond the Standard Model searches at ATLAS employ jets to simplify event reconstruction. These jets cluster particle shower products into calculable objects, which are then used to obtain information about parent particles. Large-R (R…

High Energy Physics - Experiment · Physics 2025-07-23 Sophie Kadan , Evelyn Thomson

We propose a linear-time algorithm to compute low-rank Chow decompositions. Our algorithm can decompose concise symmetric 3-tensors in n variables of Chow rank n/3. The algorithm is pencil based, hence it relies on generalized eigenvalue…

Data Structures and Algorithms · Computer Science 2025-09-15 Alexander Taveira Blomenhofer , Benjamin Lovitz