贝叶斯推断

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我国科学家全球首次发现双黑洞并合事件与第三致密天体关联迹象
Huan Qiu Wang Zi Xun· 2025-08-02 03:08
Group 1 - The core achievement of the research team is the first identification of a third compact object near a binary black hole merger event, which provides new insights into the formation of binary black holes [1][3] - The research focuses on the gravitational wave event GW190814, where the mass difference between the two black holes is nearly tenfold, suggesting two potential formation mechanisms involving a supermassive black hole or an accretion disk in an active galactic nucleus [2] - The team developed a gravitational wave waveform template that includes line-of-sight acceleration, which significantly outperformed traditional models, indicating strong evidence for the presence of a third compact object [2] Group 2 - This discovery marks the first clear indication of a third compact object in a binary black hole merger, suggesting a more complex gravitational system than previously understood [3] - The advancement in gravitational wave detection technology, including next-generation ground-based and space-based detectors, is expected to enhance the ability to capture subtle changes in gravitational wave signals, leading to further discoveries [3]
贝叶斯推断与具身智能的联系探索:迈向开放物理世界的具身AI系统
具身智能之心· 2025-07-31 00:04
Core Insights and Background - The article explores the deep conceptual connection between Bayesian statistics and embodied intelligence, emphasizing that cognitive abilities fundamentally arise from real-time sensor interactions between agents and their environments [3] - Bayesian statistics provides a principled probabilistic framework for continuously reasoning under uncertainty by representing knowledge as probability distributions and updating beliefs based on new evidence [3] - Despite this connection, Bayesian principles are not widely applied in current embodied intelligence systems, which are analyzed through the lenses of search and learning, as highlighted by Rich Sutton in "The Bitter Lesson" [3][4] Search and Learning: Foundations of Modern AI - Search and learning are identified as universal methods driving significant breakthroughs in AI as computational power increases, with search involving systematic exploration of potential solutions and learning focusing on training models through data [4] - Sutton's insight indicates that while researcher-designed systems may succeed initially, they often hit performance bottlenecks, whereas systems built on scalable general methods like search and learning continue to improve with increased computational resources [4] Current Practices in Embodied Intelligence - Mainstream embodied intelligence methods are based on advancements in AI foundational models, such as pre-trained large language models and vision-language models, which provide rich prior knowledge about the world for embodied agents like robots [5] - However, these foundational models are insufficient for all requirements of embodied intelligence systems, as the encoded prior knowledge is static and coarse, lacking the precision needed for dynamic environments [6] Approaches to Addressing Limitations - Two primary approaches are identified to address the limitations of foundational models: embedding search operations within model training or fine-tuning processes in data-driven learning paradigms, and incorporating explicit search mechanisms for planning, similar to those used in AlphaGo and AlphaZero [7] Deep Connection Between Bayesian and Embodied Intelligence - From a philosophical perspective, Bayesianism and embodied intelligence are closely linked, with Bayesianism quantifying subjective beliefs and emphasizing dynamic knowledge updates through evidence [8] - Both frameworks share a common learning mechanism that views cognition/intelligence as a process dependent on dynamic interactions rather than static data, aligning with the paradigm of emergent intelligence [8] Gaps Between Bayesian Methods and Current Practices - There is a significant gap between Bayesian methods and current practices in embodied intelligence, particularly in learning and search, as Bayesian learning methods often rely on structured priors or explicit model assumptions that may hinder scalability [9] - A comparison highlights fundamental differences in model dependency, human knowledge injection frequency, learning scalability, and search methods between Bayesian intelligence and Sutton's preferred approaches [9] Future of Embodied Intelligence Shaped by Bayesian Methods - Modern embodied intelligence systems, especially those based on deep learning and large pre-trained models, have adopted data-driven, hypothesis-light methods that align with Sutton's preferences [10] - These systems can be constructed using pre-trained foundational models as building blocks, supplemented with additional modules for memory, atomic skill models, perception, sensor control, and navigation [11] Strategies for Data Scarcity - In scenarios of data scarcity, two mitigation strategies are proposed: collecting human demonstration data and resorting to simulations to create digital counterparts of the physical world [12] - Current large pre-trained models are seen as rough approximations of world models, insufficient for supporting embodied intelligence in rich, dynamic, and three-dimensional physical environments [12] Goals for Open Physical Environments - The ultimate goal for embodied intelligence is to operate in open physical environments, where knowledge and skills acquired in closed settings serve as prior knowledge [12] - In open worlds, embodied agents must continuously adapt their behavior through real-time sensor interactions, necessitating ongoing reasoning under uncertainty [12] Bayesian Methods for Complex Systems - Various existing Bayesian methods have been developed for global optimization in complex systems, particularly where traditional gradient-based methods are unsuitable [13] - The flexibility and generalization capabilities in real-world scenarios can be enhanced by relaxing the dependency on structured model assumptions, allowing for operations on model collections rather than committing to a single fixed model [13]
建模市场与人机共振:李天成超越价格预测的认知框架
Sou Hu Wang· 2025-06-30 10:40
Group 1 - The market cannot be precisely predicted, and the goal is to build a cognitive framework to understand its current state and infer short-term evolution [1] - Traditional technical analysis attempts to reduce the complexity of market processes but often overlooks the high-dimensional latent space that drives price movements [1] Group 2 - Early deep learning models like CNNs capture local spatial patterns but fail to understand the path dependency of time series data [2] - LSTM and its variants address the limitations of CNNs by capturing sequential dependencies, but they assume a linear flow of information, which does not reflect the complex interactions in real markets [3] Group 3 - A paradigm shift is needed from sequential dependency modeling to spatio-temporal structural dependency modeling to better capture market dynamics [5] - The core of the proposed approach is a dynamic temporal knowledge graph that models relationships among entities, which is essential for understanding market interactions [6] Group 4 - The use of heterogeneous Hawkes processes allows for modeling event flows within the knowledge graph, capturing the ripple effects of market events [6] - By maximizing the log-likelihood function, the system can derive embedding vectors for entities and relationships, projecting the knowledge graph into a lower-dimensional latent space [7] Group 5 - The model's output is a posterior probability that combines likelihood from data and prior probability based on human insights, emphasizing the importance of human judgment in the decision-making process [9][10] - The company aims to create a decision framework that optimizes long-term expected value rather than focusing on short-term gains, leveraging the cognitive spread between its insights and market averages [11]