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Despite rapid progress in LLM agents, performance on long-horizon, tool-using tasks remains fragile. To better understand this fragility, we ask a simple question: \emph{do all actions contribute equally to failure?} Analyzing execution…

Machine Learning · Computer Science 2025-12-10 Alejandro Cuadron , Pengfei Yu , Yang Liu , Arpit Gupta

We analyze the Euclidean version of supersymmetric quantum mechanics on the lattice by means of a numerical path integral. We consider two different lattice derivatives and improve the actions containing them with respect to supersymmetry…

High Energy Physics - Lattice · Physics 2014-02-05 Sebastian Schierenberg , Falk Bruckmann

We investigate the fitness advantage associated with the robustness of a phenotype against deleterious mutations using deterministic mutation-selection models of quasispecies type equipped with a mesa shaped fitness landscape. We obtain…

Populations and Evolution · Quantitative Biology 2015-05-13 Andrea Wolff , Joachim Krug

We determine two improvement coefficients which are relevant to cancel mass-dependent cutoff effects in correlation functions with operator insertions of the non-singlet local QCD vector current. This determination is based on degenerate…

High Energy Physics - Lattice · Physics 2018-06-07 Patrick Fritzsch

Measuring performance & quantifying a performance change are core evaluation techniques in programming language and systems research. Of 122 recent scientific papers, as many as 65 included experimental evaluation that quantified a…

Methodology · Statistics 2020-07-22 Tomas Kalibera , Richard Jones

This paper studies close-loop task planning, which refers to the process of generating a sequence of skills (a plan) to accomplish a specific goal while adapting the plan based on real-time observations. Recently, prompting Large Language…

Computation and Language · Computer Science 2024-07-25 Mengkang Hu , Yao Mu , Xinmiao Yu , Mingyu Ding , Shiguang Wu , Wenqi Shao , Qiguang Chen , Bin Wang , Yu Qiao , Ping Luo

We study empirical scaling laws for language model performance on the cross-entropy loss. The loss scales as a power-law with model size, dataset size, and the amount of compute used for training, with some trends spanning more than seven…

We study model theory of fields with actions of a fixed finite group scheme. We prove the existence and simplicity of a model companion of the theory of such actions, which generalizes our previous results about truncated iterative…

Logic · Mathematics 2020-06-08 Daniel Max Hoffmann , Piotr Kowalski

We define a fixed point action in two-dimensional lattice ${\rm CP}^{N-1}$ models. The fixed point action is a classical perfect lattice action, which is expected to show strongly reduced cutoff effects in numerical simulations.…

High Energy Physics - Lattice · Physics 2009-10-28 Rudolf Burkhalter

Algorithm evaluation and comparison are fundamental questions in machine learning and statistics -- how well does an algorithm perform at a given modeling task, and which algorithm performs best? Many methods have been developed to assess…

Statistics Theory · Mathematics 2025-11-25 Yuetian Luo , Rina Foygel Barber

The scaling of the number of Rydberg excitations in a laser-driven cloud of atoms with the interaction strength is found to be affected by the finite size of the system. The scaling predicted by a theoretical model is compared with results…

Atomic Physics · Physics 2013-10-16 M. Gärttner , K. P. Heeg , T. Gasenzer , J. Evers

We study scaling properties and topological aspects of the 2--d O(3) non--linear $\sigma$--model on the lattice with the parametrized fixed point action recently proposed by P.~Hasenfratz and F.~Niedermayer. The behavior of the mass gap…

High Energy Physics - Lattice · Physics 2009-10-28 M. D'Elia , F. Farchioni , A. Papa

We discuss the performance characteristics of using the modification of the tree code suggested by Barnes \citep{1990JCoPh..87..161B} in the context of the TreePM code. The optimisation involves identifying groups of particles and using…

Astrophysics · Physics 2015-05-13 Nishikanta Khandai , J. S. Bagla

The General Video Game AI competitions have been the testing ground for several techniques for game playing, such as evolutionary computation techniques, tree search algorithms, hyper heuristic based or knowledge based algorithms. So far…

Artificial Intelligence · Computer Science 2018-06-05 Ivan Bravi , Jialin Liu , Diego Perez-Liebana , Simon Lucas

This paper considers the change-point problem for finite sequences of networks. To avoid the difficulty of computing the normalization coefficient, such as in Exponential random graphical models (ERGMs) and Markov networks, we construct a…

Statistics Theory · Mathematics 2021-01-19 Lei Qiao , Dong Han

Automatically assessing classroom discussion quality is becoming increasingly feasible with the help of new NLP advancements such as large language models (LLMs). In this work, we examine how the assessment performance of 2 LLMs interacts…

Computation and Language · Computer Science 2024-06-14 Nhat Tran , Benjamin Pierce , Diane Litman , Richard Correnti , Lindsay Clare Matsumura

Let $\xi$ be a random integer vector, having uniform distribution \[\mathbf{P} \{\xi = (i_1,i_2,...,i_n) = 1/n^n \} \ \hbox{for} \ 1 \leq i_1,i_2,...,i_n\leq n.\] A realization $(i_1,i_2,...,i_n)$ of $\xi$ is called \textit{good}, if its…

Data Structures and Algorithms · Computer Science 2015-03-17 Antal Iványi , Balázs Novák

In this paper, we investigate adaptive nonlinear regression and introduce tree based piecewise linear regression algorithms that are highly efficient and provide significantly improved performance with guaranteed upper bounds in an…

Machine Learning · Computer Science 2013-12-30 N. Denizcan Vanli , Suleyman S. Kozat

In this paper several examples of gaps (lacunes) between dimensions of maximal and submaximal symmetric models are considered, which include investigation of number of independent linear and quadratic integrals of metrics and counting the…

Differential Geometry · Mathematics 2012-03-06 Boris Kruglikov

To study the kinetics of phase separation in active matter systems, we consider models that impose a Vicsek-type self-propulsion rule on otherwise passive particles interacting via the Lennard-Jones potential. Two types of kinetics are of…

Statistical Mechanics · Physics 2023-10-31 Tanay Paul , Nalina Vadakkayil , Subir K. Das