December 2025

This study addresses the challenge of long-term dependency modeling in agent behavior planning for long-horizon tasks and proposes a memory-driven agent planning framework. The method introduces hierarchical memory encoding and dynamic memory retrieval structures, enabling the agent to selectively retain and effectively utilize historical information across multiple time scales, thereby maintaining policy stability and goal consistency in complex dynamic environments. The core idea is to construct an interaction mechanism between short-term and long-term memory, where attention-guided retrieval integrates […]

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Large Language Model (LLM)-based multi-agent systems have emerged as a promising paradigm for tackling complex tasks that exceed individual agent capabilities. However, existing approaches often suffer from coordination inefficiencies, a lack of trust mechanisms, and suboptimal role assignment strategies. This paper presents a novel trust-aware coordination framework that enhances multi-agent collaboration through dynamic role assignment and context sharing. Our framework introduces a multi-dimensional trust evaluation mechanism that continuously assesses agent reliability based on performance history, interaction quality, and […]

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This paper addresses the challenges in traditional enterprise performance analysis, including complex multi-source data structures, ambiguous indicator correlations, and poor decision interpretability. It proposes an enterprise performance optimization decision model that integrates knowledge graphs with causal inference. The model constructs a multi-entity and multi-relation knowledge graph to semantically integrate heterogeneous information from financial, market, and operational dimensions, enabling high-level representation of structured relationships among enterprise features. It further incorporates causal structure learning and inference mechanisms to identify key […]

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Credit fraud detection is a central problem in financial risk management. It is challenging due to complex relationships among transaction entities, strong coordination of fraudulent activities, and high levels of behavioral camouflage at the individual level. Traditional approaches mainly rely on features from independent samples. They often fail to represent multi-entity interaction structures effectively. From a relational modeling perspective, this study investigates a graph neural network-based method for credit fraud detection. The method represents transaction entities and their […]

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Calculating finite sums and products of trigonometric functions is an important and fascinating problem, a straightforward method is using infinite series or infinite product. In this paper, we calculate four finite sums and a finite product of trigonometric functions using this method, which contributes to a deeper understanding of this problem.

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In real-time delivery of AV1 over MPEG2-TS using HTTP/3 over QUIC, two fundamental approaches can be identified for improving video quality. The first is bitrate adaptation, represented by Adaptive Bitrate (ABR), which estimates available bandwidth and selects the optimal resolution and frame rate within that range. The second approach focuses on low-latency control, reducing RTT and ACK delay to increase effective throughput. This study emphasizes the latter perspective and, through terminal-side QUIC observation, suggests that user-space buffer saturation […]

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This work presents a series of interconnected mathematical emph{constructions} that take the zeros of the Riemann zeta function as primordial elements. Rather than seeking a conventional proof of the Riemann Hypothesis, we investigate: what kind of mathematical reality emerges when we emph{postulate} that these zeros form the spectrum of an operator within a specific geometric arena? Our constructions reveal a remarkable chain of coherence, linking geometry (minimal surfaces), topology (M”obius bands), statistics (GUE), and fundamental physical constants. Within […]

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Published on December 21, 2025 10:14 AM GMT Master version of this on https://parvmahajan.com/2025/12/21/turning-20.html  I turn 20 in January, and the world looks very strange. Probably, things will change very quickly. Maybe, one of those things is whether or not we’re still here. This moment seems very fragile, and perhaps more than most moments will never happen again. I want to capture a little bit of what it feels like to be alive right now. I.  Everywhere around […]

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[…] The puzzle is still there. What’s gone is the labor. I never enjoyed hitting keys, writing minimal repro cases with little insight, digging through debug logs, or trying to decipher some obscure AWS IAM permission error. That work wasn’t the puzzle for me. It was just friction, laborious and frustrating. The thinking remains; the hitting of the keys and the frustrating is what’s been removed. — Armin Ronacher Tags: ai-assisted-programming, generative-ai, armin-ronacher, ai, llms

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