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Fine-tuning aligned language models on benign tasks unpredictably degrades safety guardrails, even when training data contains no harmful content and developers have no adversarial intent. We show that the prevailing explanation, that…

Linear measures such as cross-correlation have been used successfully to determine time delays from the given processes. Such an analysis often precedes identifying possible causal relationships between the observed processes. The present…

Quantitative Methods · Quantitative Biology 2015-05-13 Radhakrishnan Nagarajan

One of the hallmarks of active galactic nuclei are that they are highly variable with time. In watching the spectra vary it has been observed that the emission-lines often appear to "reverberate" -- that is they vary in response to…

Astrophysics of Galaxies · Physics 2026-05-28 Kirk Long , Keith Horne , Jason Dexter , Benoit Tremblay

Making accurate forecasts for a complex system is a challenge in various practical applications. The major difficulty in solving such a problem concerns nonlinear spatiotemporal dynamics with time-varying characteristics. Takens' delay…

Signal Processing · Electrical Eng. & Systems 2024-04-09 Hao Peng , Wei Wang , Pei Chen , Rui Liu

We address in this paper the approximation problem of distributed delays. Such elements are convolution operators with kernel having bounded support, and appear in the control of time-delay systems. From the rich literature on this topic,…

Optimization and Control · Mathematics 2010-09-10 Hao Lu , Michael Di Loreto , Damien Eberard , Jean-Pierre Simon

Time-delay embeddings and dimensionality reduction are powerful techniques for discovering effective coordinate systems to represent the dynamics of physical systems. Recently, it has been shown that models identified by dynamic mode…

Dynamical Systems · Mathematics 2021-11-17 Seth M. Hirsh , Sara M. Ichinaga , Steven L. Brunton , J. Nathan Kutz , Bingni W. Brunton

We suggest a spatially local feedback mechanism for stabilizing periodic orbits in spatially extended systems. Our method, which is based on a comparison between present and past states of the system, does not require the external…

chao-dyn · Physics 2009-10-28 Michael E. Bleich , Joshua E. S. Socolar

Model complexity plays an essential role in its selection, namely, by choosing a model that fits the data and is also succinct. Two-part codes and the minimum description length have been successful in delivering procedures to single out…

Statistics Theory · Mathematics 2020-07-07 Bruno Mera , Paulo Mateus , Alexandra M. Carvalho

Scale selection methods based on local extrema over scale of scale-normalized derivatives have been primarily developed to be applied sparsely --- at image points where the magnitude of a scale-normalized differential expression…

Computer Vision and Pattern Recognition · Computer Science 2018-08-06 Tony Lindeberg

We present a new continuous Lyapunov Redesign (LR) methodology for the robust stabilization of a class of uncertain time-delay systems that is based on the so-called Super Twisting Algorithm. The main feature of the proposed approach is…

Systems and Control · Electrical Eng. & Systems 2021-07-02 Marco A. Gomez , Christopher D. Cruz-Ancona , Leonid Fridman

Recently it has been shown that the intensity time-bandwidth product of optical signals can be engineered to match that of the data acquisition instrument. In particular, it is possible to slow down an ultrafast signal, resulting in…

Optics · Physics 2015-06-22 Jacky Chan , Ata Mahjoubfar , Mohammad H. Asghari , Bahram Jalali

This research investigates flight delay trends by examining factors such as departure time, airline, and airport. It employs regression machine learning methods to predict the contributions of various sources to delays. Time-series models,…

Machine Learning · Computer Science 2024-08-07 Aravinda Jatavallabha , Jacob Gerlach , Aadithya Naresh

We subject the methodology used to derive the effective dynamics of topological defects to a critical reappraisal, using the two-dimensional kink as an illustrative example. Special care is taken on how the zero modes should be handled in…

High Energy Physics - Theory · Physics 2009-10-30 Jordi Paris , Jaume Roca

Nonlinear dynamical systems with time delay are abundant in applications, but are notoriously difficult to analyse and predict because delay-induced effects strongly depend on the form of the nonlinearities involved, and on the exact way…

Chaotic Dynamics · Physics 2021-11-03 Natalia B. Janson , Christopher J. Marsden

Time delay estimation arises in many applications in which a multipath medium has to be identified from pulses transmitted through the channel. Various approaches have been proposed in the literature to identify time delays introduced by…

Information Theory · Computer Science 2011-01-05 Kfir Gedalyahu , Yonina C. Eldar

We develop a semiclassical approach for the statistics of the time delay in quantum chaotic systems in the presence of a tunnel barrier, for broken time-reversal symmetry. Results are obtained as asymptotic series in powers of the…

Chaotic Dynamics · Physics 2023-02-20 Marcel Novaes , Jack Kuipers

Rather than directly considering the queuing delay of data, this memo focuses on reducing the delay that congestion signals experience within a queue management algorithm, which can be greater than the delay that the data itself experiences…

Networking and Internet Architecture · Computer Science 2019-04-16 Bob Briscoe

Stochastic control problems with delay are challenging due to the path-dependent feature of the system and thus its intrinsic high dimensions. In this paper, we propose and systematically study deep neural networks-based algorithms to solve…

Optimization and Control · Mathematics 2021-06-18 Jiequn Han , Ruimeng Hu

Temporal alignment is an inherent task in most applications dealing with videos: action recognition, motion transfer, virtual trainers, rehabilitation, etc. In this paper we dive into the understanding of this task from a geometric point of…

Differential Geometry · Mathematics 2023-03-28 Alice Barbara Tumpach , Peter Kán

Residual error propagation remains a fundamental problem in recurrent models, where small prediction inaccuracies compound over time and degrade long-horizon performance. Accurately modeling the correlation structure of such residuals is…

Machine Learning · Computer Science 2026-05-19 Seyed Mohamad Moghadas , Esther Rodrigo Bonet , Bruno Cornelis , Adrian Munteanu