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HLXiON δ Ω Intent Σ Logic Ψ Synth Π Reason Γ Memory Processing: stat.AP
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The search results for "stat.AP" cover a range of topics: a study on distributions using lifetime as a thermodynamic parameter, a reply to a comment on a quantum communication protocol, a withdrawn paper on mixed two-qubit states, a framework for evaluating large language models at scale, and an article by Ettore Majorana on statistical laws in physics and social sciences. Each entry addresses different aspects of statistical applications, from theoretical distributions and quantum protocols to evaluating AI models and historical insights on statistics.
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arxiv.org
Statistical substantiation of introduction of the distributions containing lifetime as thermodynamic parameter

By means of an inequality of the information and parametrization of family of distributions of the probabilities, supposing an effective estimation, introduction of the distributions containing time of the first achievement of a level as internal thermodynamic parameter ground.…

physics.data-an
arxiv.org
Reply to Comment on "Deterministic six states protocol for quantum communication" [arXiv:1107.4435v1 [quant-ph] / Phys. Lett. A 374 (2010) 1097]

We reply to the Comment made in arXiv:1107.4435v1 [quant-ph] (Phys. Lett. A \textbf{374} (2010) 1097) by noting some erroneous considerations therein resulting in a misleading view of the quantum key distribution protocol in question. We then correct the rates provided for the Intercept-and-Resend a…

quant-ph
arxiv.org
The space of local equivalence classes of mixed two-qubit states

This paper is withdrawn by the author. It is superseded by Makhlin's paper quant-ph/0002045.…

quant-ph
arxiv.org
Spark-LLM-Eval: A Distributed Framework for Statistically Rigorous Large Language Model Evaluation

Evaluating large language models at scale remains a practical bottleneck for many organizations. While existing evaluation frameworks work well for thousands of examples, they struggle when datasets grow to hundreds of thousands or millions of samples. This scale is common when assessing model behav…

cs.DC cs.CL cs.LG
arxiv.org
L'articolo di Ettore Majorana su "Il valore delle Leggi Statistiche nella Fisica e nelle Scienze Sociali" (Ettore Majorana's article on "The value of Statistical Laws in Physics and in Social Sciences")

The mentioned article was written by Ettore Majorana, in a partially educational way, for a journal of Sociology; but he gave up publishing it (and threw it away). It appeared posthumous, thanks to Giovanni Gentile Jr. (the inventor of "parastatistics") in "Scientia" 36 (1942) 58-66. It has not been…

physics.hist-ph physics.soc-ph
arxiv.org
Multivariate dependence and genetic networks inference

A critical task in systems biology is the identification of genes that interact to control cellular processes by transcriptional activation of a set of target genes. Many methods have been developed to use statistical correlations in high-throughput datasets to infer such interactions. However, cell…

q-bio.QM q-bio.MN
arxiv.org
Mutation model for nucleotide sequences based on crystal basis

A nucleotides sequence is identified, in the two (four) letters alphabet, by the the labels of a vector state of an irreducible representation of U_q(sl(2)) (U_q(sl(2) + sl(2))), in the limit q -> 0. A master equation for the distribution function is written, where the intensity of the one-spin flip…

q-bio.BM q-bio.OT
arxiv.org
A Statistical Mechanical Approach to Protein Aggregation

We develop a theory of aggregation using statistical mechanical methods. An example of a complicated aggregation system with several levels of structures is peptide/protein self-assembly. The problem of protein aggregation is important for the understanding and treatment of neurodegenerative disease…

q-bio.BM
arxiv.org
Evolution of the user's content: An Overview of the state of the art

The evolution of the user's content still remains a problem for an accurate recommendation.This is why the current research aims to design Recommender Systems (RS) able to continually adapt information that matches the user's interests. This paper aims to explain this problematic point in outlining …

cs.IR
arxiv.org
Estimating the State of AC Power Systems using Semidefinite Programming

This paper has been withdrawn by the authors…

eess.SY math.OC