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Young's integral inequality is complemented with an upper bound to the remainder. The new inequality turns out to be equivalent to Young's inequality, and the cases in which the equality holds become particularly transparent in the new…

General Mathematics · Mathematics 2008-09-11 E. Minguzzi

We prove that there is an algorithm to decide whehter two virtual links are equivalent or not

Geometric Topology · Mathematics 2007-05-23 Vassily Olegovich Manturov

As a longstanding participating system in the annual Video Browser Showdown (VBS2017-VBS2020) as well as in two iterations of the more recently established Lifelog Search Challenge (LSC2018-LSC2019), diveXplore is developed as a…

Multimedia · Computer Science 2025-08-29 Andreas Leibetseder , Klaus Schoeffmann

External-memory dictionaries are a fundamental data structure in file systems and databases. Versioned (or fully-persistent) dictionaries have an associated version tree where queries can be performed at any version, updates can be…

Data Structures and Algorithms · Computer Science 2015-03-19 Andrew Byde , Andy Twigg

Online misinformation remains a critical challenge, and fact-checkers increasingly rely on claim matching systems that use sentence embedding models to retrieve relevant fact-checks. However, as users interact with claims online, they often…

Computation and Language · Computer Science 2025-06-06 Jabez Magomere , Emanuele La Malfa , Manuel Tonneau , Ashkan Kazemi , Scott Hale

Three versions of the Weak Law of Large Numbers are proposed for weakly dependent and generally speaking non-equally distributed random variables, with finite or possibly infinite expectations.

Probability · Mathematics 2025-10-07 Alina Akhmiarova , Alexander Veretennikov

We introduce a notion of quasi-weak equivalences associated with weak-equivalences in an exact category. It gives us a delooping for (idempotent complete) exact categories and a condition that the negative $K$-group of an exact category…

K-Theory and Homology · Mathematics 2010-09-24 Toshiro Hiranouchi , Satoshi Mochizuki

In a recent proof of the log-concavity of genus polynomials of some families of graphs, Gross et al. defined the weakly synchronicity relation between log-concave sequences, and conjectured that the convolution operation by any log-concave…

Combinatorics · Mathematics 2015-08-03 H. Hu , David G. L. Wang , F. Zhao , T. Y. Zhao

Evolve pairs a small local language model with a persistent, teacher-compiled knowledge store -- refined through sleep consolidation and usage-driven refresh -- to deliver substantial accuracy gains over the model's parametric baseline…

Machine Learning · Computer Science 2026-04-28 Dikran Hovagimian

The immutability of smart contracts on blockchain platforms like Ethereum promotes security and trustworthiness but presents challenges for updates, bug fixes, or adding new features post-deployment. These limitations can lead to…

Software Engineering · Computer Science 2025-04-04 Ilham Qasse , Isra M. Ali , Nafisa Ahmed , Mohammad Hamdaqa , Björn Þór Jónsson

BACKGROUND: An important question is whether evolution favors properties such as mutational robustness or evolvability that do not directly benefit any individual, but can influence the course of future evolution. Functionally similar…

Populations and Evolution · Quantitative Biology 2009-04-16 Jesse D. Bloom , Zhongyi Lu , David Chen , Alpan Raval , Ophelia S. Venturelli , Frances H. Arnold

We provide the theoretical foundation for the recent tests of equal forecast accuracy and encompassing by Pitarakis (2023) and Pitarakis (2025), when the competing forecast specification is that of a factor-augmented regression model. This…

Econometrics · Economics 2025-11-05 Luca Margaritella , Ovidijus Stauskas

We give a level-by-level analysis of the Weak Vop\v{e}nka Principle for definable classes of relational structures (WVP), in accordance with the complexity of their definition, and we determine the large-cardinal strength of each level.…

Logic · Mathematics 2020-12-22 Joan Bagaria , Trevor Wilson

This note compares two recently published machine learning methods for constructing flexible, but tractable families of variational hidden-variable posteriors. The first method, called "hierarchical variational models" enriches the…

Machine Learning · Statistics 2016-03-10 Niko Brümmer

Two extensive game structures with imperfect information are said to be behaviorally equivalent if they share the same map (up to relabelings) from profiles of structurally reduced strategies to induced terminal paths. We show that this is…

Theoretical Economics · Economics 2019-11-11 Pierpaolo Battigalli , Paolo Leonetti , Fabio Maccheroni

Recent work such as AlphaEvolve has shown that combining LLM-driven optimization with evolutionary search can effectively improve programs, prompts, and algorithms across domains. In this paradigm, previously evaluated solutions are reused…

Survival analysis concerns the task of predicting the time until an event occurs. Often used in the medical field, survival analysis deals with incomplete (i.e., censored) data, for instance, from patients who did not experience the event…

Machine Learning · Computer Science 2026-05-29 Thalea Schlender , Peter A. N. Bosman , Tanja Alderliesten

Weakly supervised data are widespread and have attracted much attention. However, since label quality is often difficult to guarantee, sometimes the use of weakly supervised data will lead to unsatisfactory performance, i.e., performance…

Machine Learning · Computer Science 2019-04-23 Lan-Zhe Guo , Yu-Feng Li , Ming Li , Jin-Feng Yi , Bo-Wen Zhou , Zhi-Hua Zhou

LLMs have become the go-to choice for code generation tasks, with an exponential increase in the training, development, and usage of LLMs specifically for code generation. To evaluate the ability of LLMs on code, both academic and industry…

Software Engineering · Computer Science 2024-03-29 Chunqiu Steven Xia , Yinlin Deng , Lingming Zhang

When one studies the structure (e.g. graded ideals, graded subspaces, radicals, ...) or graded polynomial identities of graded algebras, the grading group itself does not play an important role, but can be replaced by any other group that…

Rings and Algebras · Mathematics 2023-09-14 Alexey Gordienko , Ofir Schnabel