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A partially observable system is one in which the entire state of the system is not fully visible to an external sensor. In a partially observable system
Partially_observable_system
Generalization of a Markov decision process
A partially observable Markov decision process (POMDP) is a generalization of a Markov decision process (MDP). A POMDP models an agent decision process
Partially observable Markov decision process
Partially_observable_Markov_decision_process
Statistical tool to model changing systems
the state is only partially observable or noisily observable. In other words, observations are related to the state of the system, but they are typically
Markov_model
Random process independent of past history
changing systems. There are 4 main types of models, that generalize Markov chains depending on whether every sequential state is observable or not, and
Markov_chain
Model for coordination and decision-making among multiple agents
The decentralized partially observable Markov decision process (Dec-POMDP) is a model for coordination and decision-making among multiple agents. It is
Decentralized partially observable Markov decision process
Decentralized_partially_observable_Markov_decision_process
Planetary system consisting of the Sun and objects orbiting it
because the regolith partially covers the impact craters. Asteroids, except for the largest, Ceres, are classified as small Solar System bodies and are composed
Solar_System
Void between celestial bodies
but even galaxies and star systems consist almost entirely of empty space. Most of the remaining mass-energy in the observable universe is made up of an
Outer_space
Transfer of information within a process
all flows may be desirable; for example, a system should not leak any confidential information (partially or not) to public observers—as it is a violation
Information flow (information theory)
Information_flow_(information_theory)
System where only the inputs and outputs can be viewed, and not its implementation
outside the system boundary Observable inputs that the experimenter can control or measure Observable outputs that result from the system's internal processes
Black_box
Set of values that describe the polarization state of electromagnetic radiation
obtain the Stokes vector of the light leaving the system. They can be determined from directly observable phenomena. The original Stokes paper was discovered
Stokes_parameters
American roboticist
Massachusetts Institute of Technology. She is widely recognized for adapting partially observable Markov decision processes from operations research for application
Leslie_P._Kaelbling
Mathematical entity to describe the probability of each possible measurement on a system
spatial coordinates of an electron. Preparing a system by measuring the complete set of compatible observables produces a pure quantum state. More common,
Quantum_state
Light from the stars
radiation from stars other than the Sun, observable from Earth at night, although a component of starlight is observable from Earth during daytime. Sunlight
Starlight
other models of dynamical systems, such as partially observable Markov decision processes (POMDPs) where the state of the system is represented as a probability
Predictive state representation
Predictive_state_representation
Property of a thermodynamic system
or mixedupness in the phrase of Gibbs, which remains about a system after its observable macroscopic properties, such as temperature, pressure and volume
Entropy
Set of non-stellar objects in orbit around a star
asteroid belt, Kuiper belt, scattered disc, and Oort cloud) and clearly-observable disks have been detected around nearby solar analogs including Epsilon
Planetary_system
Stochastic Systems". SIAM Journal on Control. 11 (2): 323–343. doi:10.1137/0311025. A. Bensoussan (1992). Stochastic Control of Partially Observable Systems. Cambridge
Separation_principle
Branch of artificial intelligence
is replaced by partial observability, planning corresponds to a partially observable Markov decision process (POMDP). If there are more than one agent
Automated planning and scheduling
Automated_planning_and_scheduling
Russian-Israeli mathematician (1936–2019)
Issue 2, Pages 75–94 Bensoussan, Alain. Stochastic control of partially observable systems. Cambridge University Press, 2004. Liptser, Robert, and Shiryayev
Robert_Liptser
Totality of psychological phenomena
conduct, understanding mental phenomena as dispositions to engage in observable behavior. The mind–body problem is the challenge of explaining the relation
Mind
Swedish control theorist (born 1934)
with incomplete information, what ultimately led to the notion of a Partially observable Markov decision process. In 1995, Åström was elected as a member
Karl_Johan_Åström
Task of generating recommendations to a user
theory problem. Another approach for formulating this problem is a partially observable Markov decision process. The formulation of this problem is also
Preference_elicitation
Natural satellite orbiting Earth
phases, and when the Moon passes through Earth's shadow a lunar eclipse is observable. The Moon's apparent size in Earth's sky is about the same as that of
Moon
Iranian-American operations researcher and professor
healthcare sector. Saghafian developed the concepts of "Ambiguous Partially Observable Markov Decision Processes (APOMDP)" and "Ambiguous Dynamic Treatment
Soroush_Saghafian
Czech-American mathematician (born 1930)
Benes and Ioannis Karatzas, Estimation and control for linear, partially observable systems with non-gaussian initial distribution, In Stochastic Processes
Václav_E._Beneš
Discrepancy of the lack of evidence for alien life despite its apparent likelihood
given the vast number of stars and potentially habitable planets in our observable universe, there is no clear evidence of extraterrestrial civilizations
Fermi_paradox
Israeli-American computer scientist
multi-agent systems, and automated planning and scheduling algorithms, notably within the context of Markov decision processes (MDPs), Partially Observable MDPs
Shlomo_Zilberstein
Basin of attraction home to the Milky Way
Supercluster Complex. Both are among the largest known cosmic structures in the observable universe. Latest observations of basins of attraction suggested a basin
Laniakea_Supercluster
American Internet measurement company
Kentik is an American network observability, network monitoring and anomaly detection company headquartered in San Francisco, California. Kentik was founded
Kentik
Temporary diversion of an aircraft engine's thrust
and turned partially forwards. Alternatively its path inside the engine is blocked and it comes out of the sides, being turned partially forwards at
Thrust_reversal
Field of machine learning
the agent is said to have partial observability, and formally the problem must be formulated as a partially observable Markov decision process. In both
Reinforcement_learning
Natural number
contains about 1012 stars. There are around 2 × 1012 galaxies in the observable universe. There were around 3 × 1012 trees on Earth in 2015. There are
1,000,000,000,000
Situations involving imperfect or unknown information
particularly relevant for decision-making. Uncertainty arises in partially observable or stochastic or complex or dynamic environments, as well as due
Uncertainty
occurs when the Moon passes between Earth and the Sun, thereby totally or partially obscuring Earth's view of the Sun. Below is a complete list of total and
List of solar eclipses visible from the British Isles
List_of_solar_eclipses_visible_from_the_British_Isles
Binding of quarks in subatomic particles
particle that mediates this was called the gluon. The strong interaction is observable at two ranges, and mediated by different force carriers in each one. On
Strong_interaction
Genus of megaraptorid theropod dinosaurs
the youngest (most recent) definitive megaraptoran. It is known from a partially articulated, incomplete skeleton including vertebrae and bones of the
Joaquinraptor
Interstellar comet in 2025
continued observing 3I/ATLAS until 20 July 2025, when the comet was no longer observable from Chile while the Sun was below the horizon; the observatory's 3200-megapixel
3I/ATLAS
ISBN 978-0-486-44531-1.. A. Bensoussan (1992). Stochastic Control of Partially Observable Systems. Cambridge University Press.. Ramon van Handel (2007). Stochastic
Separation principle in stochastic control
Separation_principle_in_stochastic_control
automate post-silicon system validation. Simulation-based design environments enjoy the tremendous advantage of nearly perfect observability, meaning the designer
Post-silicon_validation
Planet much larger than the Earth
hydrogen, helium, and traces of other gases above their critical points. The observable atmospheres of all these planets (at less than a unit optical depth) are
Giant_planet
American computer scientist
Bayesian nonparametric approaches for reinforcement learning in partially observable domains (Thesis). Massachusetts Institute of Technology. "Finale
Finale_Doshi-Velez
Complexity class
strategy exists. A generalization of this class of fully observable problems to partially observable problems lifts the complexity from EXPTIME-complete to
2-EXPTIME
a protocol to transmit data over the network in a manner which is not observable to those using the applications that are using the protocol. In this way
Network_transparency
British mathematician (1945–2020)
Varaiya, P. (1973). "Dynamic Programming Conditions for Partially Observable Stochastic Systems". SIAM Journal on Control. 11 (2): 226. doi:10.1137/0311020
Mark_H._A._Davis
Idealization of a large number of atomic-sized systems
of macroscopically observable variables. These systems can be described by statistical ensembles that depend on a few observable parameters, and which
Ensemble (mathematical physics)
Ensemble_(mathematical_physics)
Set of mathematical concepts in quantum gravity
solutions, preserving supersymmetry gives a first-order system of equations which can partially give the second-order equations of motion. This supersymmetry
Quantum_geometry
Type of neuron associated with empathy
another using the mirror system More recent evidence suggests that language comprehension and speech production rely on partially shared neural representations
Mirror_neuron
American stealth multirole fighter aircraft
and high speed early in its development. The low-observable axisymmetric nozzle consists of 15 partially overlapping flaps that create a sawtooth pattern
Lockheed Martin F-35 Lightning II
Lockheed_Martin_F-35_Lightning_II
Sub-field of reinforcement learning
information about the current state. In the partially observable setting, the core model is the partially observable stochastic game in the general case, and
Multi-agent reinforcement learning
Multi-agent_reinforcement_learning
Software agent which acts autonomously
loops are often unavoidable for simple reflex agents operating in partially observable environments. If the agent can randomize its actions, it may be possible
Intelligent_agent
Chinese stealth multirole fighter aircraft
would be low-observable against many multi-spectrum sensors. The Shenyang J-35 inherits the FC-31 design with a smooth surface and low-observable characteristics
Shenyang_J-35
Star in the Sunburst galaxy
Godzilla. As of October 2022, Godzilla was considered the most luminous star observable. This interpretation was supported by the hypothesis that the star was
Godzilla_(star)
Decision-making process used by consumers
This means that although a decision cannot be "seen", we can infer from observable behavior that a decision has been made. Therefore, we conclude that a
Buyer_decision_process
Phenomenon in particle physics
Bardeen, Eichten and Hill predicted, using the chiral Lagrangian, numerous observable decay modes which have been confirmed by experiments. Similar phenomena
Chiral_symmetry_breaking
Candidate unified theory of physics
wave functions in Minkowski space M ^ {\displaystyle {\hat {M}}} . The observable information on the distribution of the wave functions in spacetime is
Causal_fermion_systems
nonzero orbital inclinations. This hypothesis naturally explains almost all observable properties of the rings: rectangular cross-section, decrease of thickness
Rings_of_Jupiter
Rotation of Earth around its axis
Riccioli disputed the model of a rotating Earth due to the lack of then-observable eastward deflections in falling bodies; such deflections would later be
Earth's_rotation
NOAA weather satellite
2025, GOES-19's CCOR-1 has found 70 comets. The faint comet 3I/ATLAS was observable from 18–24 October 2025 with GOES-19 as the satellite can see objects
GOES-19
Innermost Galilean moon of Jupiter
than Earth's Moon, Io is the fourth-largest natural satellite in the Solar System, has the highest density and strongest surface gravity of any natural satellite
Io_(moon)
give substantially longer prison sentences to Black offenders versus observably similar non-Black offenders compared to Democratic-appointed judges within
Race in the United States criminal justice system
Race_in_the_United_States_criminal_justice_system
Function over linear operators
following justification. Let M be an observable on the subsystem A, then the corresponding observable on the composite system is M ⊗ I {\displaystyle M\otimes
Partial_trace
Constant used in orbital mechanics
it from its immediate representation of the (observable) mean angular velocity of the Sun–Earth system. Instead, the astronomical unit now became a measurable
Gaussian gravitational constant
Gaussian_gravitational_constant
Study of the form or morphology of fishes
increase respiration efficiency. The jaws were used in the buccal pump (observable in modern fish and amphibians) that pumps water across the gills of fish
Fish_anatomy
Sub-discipline of systems engineering that emphasizes dependability
Practices associated with application-level reliability include end-to-end observability, synthetic transaction testing, and validation of business-critical
Reliability_engineering
Model for generating observable data in probability and statistics
probability distribution P ( X , Y ) {\displaystyle P(X,Y)} on a given observable variable X and target variable Y; A generative model can be used to "generate"
Generative_model
Mathematical model for sequential decision making under uncertainty
calculated. When this assumption is not true, the problem is called a partially observable Markov decision process or POMDP. Constrained Markov decision processes
Markov_decision_process
Type of streaming algorithm
size of the input. An example of a one-pass algorithm is the Sondik partially observable Markov decision process. Given any list as an input: Count the number
One-pass_algorithm
Red dwarf star in the constellation Aquarius
belt, although it is uncertain whether a Solar System-like belt around TRAPPIST-1 would be observable from Earth. Observations with the Atacama Large
TRAPPIST-1
Statistical property which a model must satisfy to allow precise inference
the parameters must generate different probability distributions of the observable variables. Usually the model is identifiable only under certain technical
Identifiability
Life that does not originate on Earth
trillion galaxies in the observable universe. It is estimated that at least ten percent of all Sun-like stars have a system of planets. In other words
Extraterrestrial_life
System of voting in government elections via the Internet in Estonia
to ensure that voting is observable and noting that the verification features implemented for the 2015 elections only partially address their previous recommendations
Electronic_voting_in_Estonia
Computational approaches to health care
Handwashing Assistance For Persons With Dementia Using Video and a Partially Observable Markov Decision Process". Computer Vision and Image Understanding
Health_informatics
Hypothesis in neuroscience
Kolmogorov equations. Optimal decision problems (usually formulated as partially observable Markov decision processes) are treated within active inference by
Free_energy_principle
Topological complex vector space
primarily for their use in quantum mechanics to model algebras of physical observables. This line of research began with Werner Heisenberg's matrix mechanics
C*-algebra
Historical technique in philosophy
empirical observability for us of an ensemble to its historical acceptability, to the very period of time in which it is actually observable, the analysis
Genealogy_(philosophy)
Planning programming language
allows efficient description of Markov Decision Processes (MDPs) and Partially Observable Markov Decision Processes (POMDPs) by representing everything (state-fluents
Planning Domain Definition Language
Planning_Domain_Definition_Language
Physical quantity
der Waals force, and some other observable phenomena. Energy transfer can be considered for the special case of systems which are closed to transfers of
Energy
Largest moon of Saturn
assumes the presence of liquid water for longer periods than is currently observable; several hypotheses postulate that liquid water from an impact could be
Titan_(moon)
Hypothesis that the total amount of energy in the universe is exactly zero
universe. The zero energy solution for Minkowski space representing an observable universe was provided in 2009. In his book Brief Answers to the Big Questions
Zero-energy_universe
1949 book by John Dewey and Arthur Bentley
the extension in space, so that “thing” is in action, and “action” is observable in things. Transaction assumes no pre-knowledge of either organism or
Knowing_and_the_Known
Statistical method
treated, it makes sense to examine if these groups are similarly based on observable variables. For the earlier example, one could test if those who just barely
Regression discontinuity design
Regression_discontinuity_design
Genetic disorder
been previously reported only in professional musicians. The earliest observable symptoms of Williams syndrome include low birth weight, failure to thrive
Williams_syndrome
Comparison of a wide range of lengths
radiation; radius of the observable universe measured as a LTD 260 Ym – 27.4 billion light-years – diameter of the observable universe (double LTD) 440
Orders_of_magnitude_(length)
Mountain range on the Moon
Running down the center of this valley is a narrow cleft which is not observable through smaller telescopes. Sunrise and sunset in this area occur before
Montes_Alpes
Species of salamander
survives almost to hatching with no heart function, the defect is very observable. Further research has been conducted to examine the axolotl's heart as
Axolotl
Transmission of information
their definition of communicative behavior by including the criteria that observable responses are present and that the participants benefit from the exchange
Communication
Field theory in physics that aims to unify the fundamental forces and particles
Georgi–Glashow model, the first Grand Unified Theory, which would have observable effects for energies much above 100 GeV. Since then there have been numerous
Unified_field_theory
Knowledge representation Amir, Eyal; Chang, Allen (2008). "Learning Partially Observable Deterministic Action Models". Journal of Artificial Intelligence
Action_model_learning
Hypothetical planets further than Neptune
idea that a large unseen planet could create observable gravitational effects in the outer Solar System. These hypothetical objects are often referred
Planets_beyond_Neptune
Terrestrial planet orbiting the star Proxima Centauri
disentangling the planet from its star would be difficult. Possible traits observable from Earth are the reflection of starlight from an ocean, the radiative
Proxima_Centauri_b
Conformance of AI to intended objectives
Some work in AI and alignment occurs within formalisms such as partially observable Markov decision process. Existing formalisms assume that an AI agent's
AI_alignment
1979 nuclear accident in Pennsylvania
variety of epidemiology studies have concluded that the accident had no observable long-term health effects. A peer-reviewed research article by Dr. Steven
Three_Mile_Island_accident
Constellation in the northern celestial hemisphere
sky, a giant galaxy filament that is the largest known structure in the observable universe, covering most of the northern sky. In Polynesia, Cygnus was
Cygnus_(constellation)
Moon beyond the Solar System
the host planet is directly imaged, then transits of an exomoon may be observable. When an exomoon passes in front of the host planet, a small dip in the
Exomoon
Large igneous province in India
current size by erosion and plate tectonics; the present area of directly observable lava flows is around 500,000 km2 (200,000 sq mi). The Deccan Traps are
Deccan_Traps
American software company
HCLSoftware. Actian develops technologies for data intelligence, data observability, databases, conversational AI, and data management, enabling organizations
Actian
Collapsed core of a massive star
of observable quantities. While the equation of state relates directly only to density and pressure, these in turn lead to calculating observables like
Neutron_star
Species of lizard
semi-tubular channels located beneath the partially overlapping scales, in an asymmetric and interconnected system that extends over the lizard's entire body
Thorny_devil
Species of spider
this time, there is very little observable secretory activity in the testes. In a similar manner to the adult genital system, the vas deferens in young males
Pholcus_phalangioides
When the ratio of reactants to products of a chemical reaction is constant with time
tendency to change with time, so that there is no observable change in the properties of the system. This state results when the forward reaction proceeds
Chemical_equilibrium
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