Thus,γ(ω) (0,1] for ω (0,1], which meets the algorithm design requirement. Algorithm 2 actually performs the gradient descent scheme on the function ˆfti(x) = Eu B[fti(x+ϵu)] restricted to the convex set(1 ζ)K.

Thetemperature in Eq. (1) is empiricallysetas 0.05.

In @ (x) @ t =r (x)r( log (x) log (x)) = r (x)rlog (x) +r2 (x), thatadmits (x). The ODE [2] related dx dt = r log (x) log (x) .

Abstract--Root cause analysis in microservice systems typically involves two core tasks: root cause localization (RCL) and failure type identification (FTI). Despite substantial research efforts, conventional diagnostic approaches still face two key challenges. First, these methods predominantly adopt a joint learning paradigm for RCL and FTI to exploit shared information and reduce training time. Second, these existing methods primarily focus on point-to-point relationships between instances, overlooking the group nature of inter-instance influences induced by deployment configurations and load balancing. T o overcome these limitations, we propose CCLH, a novel root cause analysis framework that orchestrates diagnostic tasks based on cascaded conditional learning. CCLH provides a three-level taxonomy for group influences between instances and incorporates a heterogeneous hypergraph to model these relationships, facilitating the simulation of failure propagation. Extensive experiments conducted on datasets from three mi-croservice benchmarks demonstrate that CCLH outperforms state-of-the-art methods in both RCL and FTI. Microservice architecture has been widely adopted by cloud-native enterprises due to its flexibility, scalability, and loose coupling. In microservice systems (MSS), each microser-vice typically reproduces multiple instances, which collaborate with instances affiliated with other microservices to handle user requests [1], [2]. As these systems scale up, they may suffer from reliability issues, aka failures, attributable to the increasing complexity and dynamicity. Worse still, diagnosing failures in microservice systems is labor-intensive and time-consuming, due to the intricate failure propagation and the overwhelming volume of telemetry data. For example, GitHub once took approximately one and a half hours to resolve a failure that disrupted the codespace service, affecting millions of developers and repositories [3]. Traditional root cause analysis (RCA) in MSS encompasses two tasks: root cause localization (RCL) and failure type identification (FTI).

Large Language Models (LLMs) have shown strong potential for tabular data generation by modeling textualized feature-value pairs. However, tabular data inherently exhibits sparse feature-level dependencies, where many feature interactions are structurally insignificant. This creates a fundamental mismatch as LLMs' self-attention mechanism inevitably distributes focus across all pairs, diluting attention on critical relationships, particularly in datasets with complex dependencies or semantically ambiguous features. To address this limitation, we propose GraDe (Graph-Guided Dependency Learning), a novel method that explicitly integrates sparse dependency graphs into LLMs' attention mechanism. GraDe employs a lightweight dynamic graph learning module guided by externally extracted functional dependencies, prioritizing key feature interactions while suppressing irrelevant ones. Our experiments across diverse real-world datasets demonstrate that GraDe outperforms existing LLM-based approaches by up to 12% on complex datasets while achieving competitive results with state-of-the-art approaches in synthetic data quality. Our method is minimally intrusive yet effective, offering a practical solution for structure-aware tabular data modeling with LLMs.

On December 6 and 7, academics, medical professionals, even professional humorists, among others shared their expertise and vision for how technology is changing the world, and how we live in that world, at the Future Today Summit. Founder and CEO of the Future Today Institute Amy Webb, who is an adjunct professor on futures forecasting at the New York University Stern School of Business, spoke to IBM (a sponsor of the Future Today Summit) about what it means to be a futurist, how futurists predicted fake news, and skills we all need in the future. When and why did you decide to call yourself a futurist? Amy Webb: Fifteen years ago, I was a journalist based in Tokyo, reporting and writing about the future of technology, the economy and digital culture. I'd had grown restless, though – my reporting was inherently a reflection on the past.