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We discuss views about whether the universe can be rationally comprehended, starting with Plato, then Leibniz, and then the views of some distinguished scientists of the previous century. Based on this, we defend the thesis that…

历史与综述 · 数学 2007-05-23 G. J. Chaitin

Data Science and Machine learning have been growing strong for the past decade. We argue that to make the most of this exciting field we should resist the temptation of assuming that forecasting can be reduced to brute-force data analytics.…

人工智能 · 计算机科学 2020-05-12 Hykel Hosni , Angelo Vulpiani

I postulate that human or other intelligent agents function or should function as follows. They store all sensory observations as they come - the data is holy. At any time, given some agent's current coding capabilities, part of the data is…

人工智能 · 计算机科学 2007-09-06 Juergen Schmidhuber

I will propose the notion that the universe is digital, not as a claim about what the universe is made of but rather about the way it unfolds. Central to the argument will be the concepts of symmetry breaking and algorithmic probability,…

信息论 · 计算机科学 2011-09-13 Hector Zenil

Complexity science offers a wide range of measures for quantifying unpredictability, structure, and information. Yet, a systematic conceptual organization of these measures is still missing. We present a unified framework that locates…

机器学习 · 计算机科学 2025-05-13 Nima Dehghani

I argue that data becomes temporarily interesting by itself to some self-improving, but computationally limited, subjective observer once he learns to predict or compress the data in a better way, thus making it subjectively simpler and…

人工智能 · 计算机科学 2009-04-15 Juergen Schmidhuber

This paper provides a definitive, unifying framework for the Symbol Grounding Problem (SGP) by reformulating it within Algorithmic Information Theory (AIT). We demonstrate that the grounding of meaning is a process fundamentally constrained…

人工智能 · 计算机科学 2025-10-08 Zhangchi Liu

Due to common misconceptions about the Church-Turing thesis, it has been widely assumed that the Turing machine provides an upper bound on what is computable. This is not so. The new field of hypercomputation studies models of computation…

逻辑 · 数学 2007-05-23 Toby Ord

Data analysis and machine learning have become an integrative part of the modern scientific methodology, offering automated procedures for the prediction of a phenomenon based on past observations, unraveling underlying patterns in data and…

机器学习 · 统计学 2015-06-04 Gilles Louppe

The concept of information has emerged as a language in its own right, bridging several disciplines that analyze natural phenomena and man-made systems. Integrated information has been introduced as a metric to quantify the amount of…

神经元与认知 · 定量生物学 2019-06-10 Alberto Hernández-Espinosa , Héctor Zenil , Narsis A. Kiani , Jesper Tegnér

We propose a test based on the theory of algorithmic complexity and an experimental evaluation of Levin's universal distribution to identify evidence in support of or in contravention of the claim that the world is algorithmic in nature. To…

计算复杂性 · 计算机科学 2015-03-13 Hector Zenil , Jean-Paul Delahaye

In 1975 Chaitin introduced his \Omega number as a concrete example of random real. The real \Omega is defined based on the set of all halting inputs for an optimal prefix-free machine U, which is a universal decoding algorithm used to…

信息论 · 计算机科学 2019-09-04 Kohtaro Tadaki

The emergence of "big data" offers unprecedented opportunities for not only accelerating scientific advances but also enabling new modes of discovery. Scientific progress in many disciplines is increasingly enabled by our ability to examine…

计算机与社会 · 计算机科学 2017-07-03 Vasant G. Honavar , Mark D. Hill , Katherine Yelick

The human brain is the substrate for human intelligence. By simulating the human brain, artificial intelligence builds computational models that have learning capabilities and perform intelligent tasks approaching the human level. Deep…

神经元与认知 · 定量生物学 2024-02-20 Barco Jie You

Compressing neural nets is an active research problem, given the large size of state-of-the-art nets for tasks such as object recognition, and the computational limits imposed by mobile devices. We give a general formulation of model…

机器学习 · 计算机科学 2017-07-06 Miguel Á. Carreira-Perpiñán

A fruitful way of obtaining meaningful, possibly concrete, algorithmically random numbers is to consider a potential behaviour of a Turing machine and its probability with respect to a measure (or semi-measure) on the input space of binary…

计算复杂性 · 计算机科学 2017-06-13 George Barmpalias , Douglas Cenzer , Christopher P. Porter

In this introductory article we present the basics of an approach to implementing computational interpreting of natural language aiming to model the meanings of words and phrases. Unlike other approaches, we attempt to define the meanings…

计算与语言 · 计算机科学 2019-08-12 Michael Kapustin , Pavlo Kapustin

A fundamental question in the conjunction of information theory, biophysics, bioinformatics and thermodynamics relates to the principles and processes that guide the development of natural intelligence in natural environments where…

神经与进化计算 · 计算机科学 2024-12-31 Serge Dolgikh

This book presents a methodology and philosophy of empirical science based on large scale lossless data compression. In this view a theory is scientific if it can be used to build a data compression program, and it is valuable if it can…

机器学习 · 计算机科学 2011-04-29 Daniel Burfoot

A vast array of transformative technologies developed over the past decade has enabled measurement and perturbation at ever increasing scale, yet our understanding of many systems remains limited by experimental capacity. Overcoming this…

定量方法 · 定量生物学 2020-12-25 Brian Cleary , Aviv Regev
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