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Coarse Geometry of Extended Admissible Groups Explored

Published:Dec 31, 2025 11:07
1 min read
ArXiv

Analysis

This paper investigates the coarse geometric properties of extended admissible groups, a class of groups generalizing those found in 3-manifold groups. The research focuses on quasi-isometry invariance, large-scale nonpositive curvature, quasi-redirecting boundaries, divergence, and subgroup structure. The results extend existing knowledge and answer a previously posed question, contributing to the understanding of these groups' geometric behavior.
Reference

The paper shows that changing the gluing edge isomorphisms does not affect the quasi-isometry type of these groups.

Analysis

This paper addresses a challenging class of multiobjective optimization problems involving non-smooth and non-convex objective functions. The authors propose a proximal subgradient algorithm and prove its convergence to stationary solutions under mild assumptions. This is significant because it provides a practical method for solving a complex class of optimization problems that arise in various applications.
Reference

Under mild assumptions, the sequence generated by the proposed algorithm is bounded and each of its cluster points is a stationary solution.

Analysis

This paper investigates the challenges of identifying divisive proposals in public policy discussions based on ranked preferences. It's relevant for designing online platforms for digital democracy, aiming to highlight issues needing further debate. The paper uses an axiomatic approach to demonstrate fundamental difficulties in defining and selecting divisive proposals that meet certain normative requirements.
Reference

The paper shows that selecting the most divisive proposals in a manner that satisfies certain seemingly mild normative requirements faces a number of fundamental difficulties.

Analysis

This paper introduces Cogniscope, a simulation framework designed to generate social media interaction data for studying digital biomarkers of cognitive decline, specifically Alzheimer's and Mild Cognitive Impairment. The significance lies in its potential to provide a non-invasive, cost-effective, and scalable method for early detection, addressing limitations of traditional diagnostic tools. The framework's ability to model heterogeneous user trajectories and incorporate micro-tasks allows for the generation of realistic data, enabling systematic investigation of multimodal cognitive markers. The release of code and datasets promotes reproducibility and provides a valuable benchmark for the research community.
Reference

Cogniscope enables systematic investigation of multimodal cognitive markers and offers the community a benchmark resource that complements real-world validation studies.

User Frustration with AI Censorship on Offensive Language

Published:Dec 28, 2025 18:04
1 min read
r/ChatGPT

Analysis

The Reddit post expresses user frustration with the level of censorship implemented by an AI, specifically ChatGPT. The user feels the AI's responses are overly cautious and parental, even when using relatively mild offensive language. The user's primary complaint is the AI's tendency to preface or refuse to engage with prompts containing curse words, which the user finds annoying and counterproductive. This suggests a desire for more flexibility and less rigid content moderation from the AI, highlighting a common tension between safety and user experience in AI interactions.
Reference

I don't remember it being censored to this snowflake god awful level. Even when using phrases such as "fucking shorten your answers" the next message has to contain some subtle heads up or straight up "i won't condone/engage to this language"

Research#llm📝 BlogAnalyzed: Dec 28, 2025 12:02

Using AI as a "Language Buffer" to Communicate More Mildly

Published:Dec 28, 2025 11:41
1 min read
Qiita AI

Analysis

This article discusses using AI to soften potentially harsh or critical feedback in professional settings. It addresses the common scenario where engineers need to point out discrepancies or issues but are hesitant due to fear of causing offense or damaging relationships. The core idea is to leverage AI, presumably large language models, to rephrase statements in a more diplomatic and less confrontational manner. This approach aims to improve communication effectiveness and maintain positive working relationships by mitigating the negative emotional impact of direct criticism. The article likely explores specific techniques or tools for achieving this, offering practical solutions for engineers and other professionals.
Reference

"When working as an engineer, you often face questions that are correct but might be harsh, such as, 'Isn't that different from the specification?' or 'Why isn't this managed?'"

Analysis

This paper investigates the impact of higher curvature gravity on black hole ringdown signals. It focuses on how deviations from General Relativity (GR) become more noticeable in overtone modes of the quasinormal modes (QNMs). The study suggests that these deviations, caused by modifications to the near-horizon potential, can be identified in ringdown waveforms, even when the fundamental mode and early overtones are only mildly affected. This is significant because it offers a potential way to test higher curvature gravity theories using gravitational wave observations.
Reference

The deviations of the quasinormal mode (QNM) frequencies from their general relativity (GR) values become more pronounced for overtone modes.

Analysis

This paper addresses the problem of achieving consensus in a dynamic network where agents update their states asynchronously. The key contribution is the introduction of selective neighborhood contraction, where an agent's neighborhood can shrink after an update, alongside independent changes in other agents' neighborhoods. This is a novel approach to consensus problems and extends existing theory by considering time-varying communication structures with endogenous contraction. The paper's significance lies in its potential applications to evolving social systems and its theoretical contribution to understanding agreement dynamics under complex network conditions.
Reference

The system reaches consensus almost surely under the condition that the evolving graph is connected infinitely often.

Research#llm🏛️ OfficialAnalyzed: Jan 3, 2026 15:24

OpenAI Develops Blueprint to Assess LLM-Aided Biological Threat Creation

Published:Jan 31, 2024 08:00
1 min read
OpenAI News

Analysis

This article from OpenAI highlights their efforts to assess the potential risks associated with large language models (LLMs) assisting in the creation of biological threats. The core of their work involves developing a framework for evaluating this risk. Initial findings, based on evaluations with biology experts and students using GPT-4, suggest a limited impact on accuracy in threat creation. The article emphasizes that this is a preliminary finding and a starting point for further research and discussion within the community. This proactive approach by OpenAI is commendable, as it addresses potential misuse of AI technology.
Reference

We found that GPT-4 provides at most a mild uplift in biological threat creation accuracy.