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We illustrate the utility of the recently developed loop calculus for improving the Belief Propagation (BP) algorithm. If the algorithm that minimizes the Bethe free energy fails we modify the free energy by accounting for a critical loop…

Information Theory · Computer Science 2007-07-13 Michael Chertkov , Vladimir Y. Chernyak

A key problem in structured output prediction is direct optimization of the task reward function that matters for test evaluation. This paper presents a simple and computationally efficient approach to incorporate task reward into a maximum…

Machine Learning · Computer Science 2017-01-05 Mohammad Norouzi , Samy Bengio , Zhifeng Chen , Navdeep Jaitly , Mike Schuster , Yonghui Wu , Dale Schuurmans

In this paper, we propose RAG-Boost (ST-ShinozakiLab Task I system), which enhances the baseline LLM-based ASR system of the MLC-SLM Challenge (task I) with a retrieval-augmented generation (RAG) module on the fly. Each partial ASR…

Audio and Speech Processing · Electrical Eng. & Systems 2025-08-21 Pengcheng Wang , Sheng Li , Takahiro Shinozaki

Reasoning ability has become a defining capability of Large Language Models (LLMs), with Reinforcement Learning with Verifiable Rewards (RLVR) emerging as a key paradigm to enhance it. However, RLVR training often suffers from policy…

Machine Learning · Computer Science 2026-04-20 Xiaoyun Zhang , Xiaojian Yuan , Di Huang , Wang You , Chen Hu , Jingqing Ruan , Ai Jian , Kejiang Chen , Xing Hu

We present some new three-loop results in lattice gauge theories, for the Free Energy and for the Topological Susceptibility. These results are an outcome of a scheme which we are developing (using a symbolic manipulation language), for the…

High Energy Physics - Lattice · Physics 2009-10-22 B. Alles , M. Campostrini , A. Feo , H. Panagopoulos

In this paper we propose a method to study the Functional Renormalization Group at finite chemical potential. The method consists of mapping the FRG equations within the Fermi surface into a differential equation defined on a rectangle with…

High Energy Physics - Theory · Physics 2017-01-11 G. G. Barnafoldi , A. Jakovac , P. Posfay

We discuss structural aspects of the functional renormalisation group. Flows for a general class of correlation functions are derived, and it is shown how symmetry relations of the underlying theory are lifted to the regularised theory. A…

High Energy Physics - Theory · Physics 2010-04-06 Jan M. Pawlowski

With the rapid evolution of large language models (LLM), reinforcement learning (RL) has emerged as a pivotal technique for code generation and optimization in various domains. This paper presents a systematic survey of the application of…

We calculate one loop contributions to $\Gamma(h \rightarrow \gamma \, \gamma)$ from higher dimensional operators, in the Standard Model Effective Field Theory (SMEFT). Some technical challenges related to determining Electroweak one loop…

High Energy Physics - Phenomenology · Physics 2017-07-12 Christine Hartmann , Michael Trott

Dimensional regularization is applied to the Lippmann-Schwinger equation for a separable potential which gives rise to logarithmic singularities in the Born series. For this potential a subtraction at a fixed energy can be used to…

Nuclear Theory · Physics 2009-04-17 D. R. Phillips , I. R. Afnan , A. G. Henry-Edwards

After reviewing how the renormalization group equation can be used to sum logarithmic corrections to the decay rate for the semi-leptonic process b->u when using minimal subtraction, we consider renormalization scheme dependence for this…

High Energy Physics - Phenomenology · Physics 2015-12-04 D. G. C. McKeon

This paper provides a new regularization method which is particularly suitable for linear exponentially ill-posed problems. Under logarithmic source conditions (which have a natural interpretation in terms of Sobolev spaces in the…

Numerical Analysis · Mathematics 2020-07-08 Walter Cedric Simo Tao Lee

We study the renormalization group evolution (RGE) of new physics contributions to (semi)leptonic charged-current meson decays, focusing on operators involving a chirality flip at the quark level. We calculate their evolution under…

High Energy Physics - Phenomenology · Physics 2017-10-02 Martín González-Alonso , Jorge Martin Camalich , Kin Mimouni

The RG equation for the effective potential in the leading log (LL) approximation is constructed which is valid for an arbitrary scalar field theory in 4 dimensions. The solution to this equation sums up the leading $\log\phi$ contributions…

High Energy Physics - Theory · Physics 2023-05-17 D. I. Kazakov , R. M. Iakhibbaev , D. M. Tolkachev

Recent advancements in large language models (LLMs) have enabled LLM-based agents to successfully tackle interactive planning tasks. However, despite their successes, existing approaches often suffer from planning hallucinations and require…

Computation and Language · Computer Science 2025-09-11 Weimin Xiong , Yifan Song , Qingxiu Dong , Bingchan Zhao , Feifan Song , Xun Wang , Sujian Li

The functionality of Large Language Model (LLM) agents is primarily determined by two capabilities: action planning and answer summarization. The former, action planning, is the core capability that dictates an agent's performance. However,…

Machine Learning · Computer Science 2025-08-28 Zhiwei Li , Yong Hu , Wenqing Wang

Temporal knowledge graph question answering (TKGQA) involves multi-hop reasoning over temporally constrained entity relationships in the knowledge graph to answer a given question. However, at each hop, large language models (LLMs) retrieve…

Artificial Intelligence · Computer Science 2026-01-06 Wuzhenghong Wen , Chao Xue , Su Pan , Yuwei Sun , Minlong Peng

The effective potential of scalar QED is computed analytically up to two loops in the Landau gauge. The result is given in 4-epsilon dimensions using minimal subtraction and epsilon-expansions. In three dimensions, our calculation is…

Condensed Matter · Physics 2011-08-17 H. Kleinert , B. Van den Bossche

The standard MS renormalization prescription is inadequate for dealing with multiscale problems. To illustrate this, we consider the computation of the effective potential in the Higgs-Yukawa model. It is argued that the most natural way to…

High Energy Physics - Theory · Physics 2007-05-23 Christopher Ford

We show the computational procedure of the renormalization of the electroweak chiral Lagrangian (the 4D Higgsless standard model), and provide one simplified version of its one-loop renormalization group equations, which we demonstrate its…

High Energy Physics - Phenomenology · Physics 2007-05-23 Qi-Shu Yan