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Everything about Free object
Left adjoint to a forgetful functor to sets
In mathematics, the idea of a free object is one of the basic concepts of abstract algebra. Informally, a free object over a set A can be thought of as being a "generic" algebraic structure over A: the only equations that hold between elements of the free object are those that follow from the defining axioms of the algebraic structure. Examples include free monoids, free groups, tensor algebras, or free lattices. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Free objectA 5-minute orientation
- Skim a recent paper: Point RCNN: An Angle-Free Framework for Rotated Object DetectionInfluential work since 2022
- Pick up a classic book: Free PascalThe most-reprinted book on the subject
- Read the landmark paper: Anchor-Free Oriented Proposal Generator for Object DetectionCited 394 times
- Go sideways: Monad (category theory)A closely related topic
- Go sideways: Category of ringsA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Anchor-Free Oriented Proposal Generator for Object Detection
3D free-form surface registration and object recognition
Free Nano-Object Ramsey Interferometry for Large Quantum Superpositions
Proposal-Free Network for Instance-Level Object Segmentation
Twins: Device-Free Object Tracking Using Passive Tags
Adversarial Alignment for Source Free Object Detection
An algorithm for optimal free-form object matching
Image-free single-pixel object detection
🆕 Influential since 2022
Point RCNN: An Angle-Free Framework for Rotated Object Detection
CenterNet3D: An Anchor Free Object Detector for Point Cloud
MonoEF: Extrinsic Parameter Free Monocular 3D Object Detection
Open-Set Object Detection Using Classification-Free Object Proposal and Instance-Level Contrastive Learning
CertainNet: Sampling-Free Uncertainty Estimation for Object Detection
📚 Books worth reading
Free PascalMichaël van Canneyt, Florian Klämpfl · 2000
The evocative object worldChristopher Bollas · 2008
Free School TeachingKristan Accles Morrison · 2007
Stealing InnocenceHenry A. Giroux · 2000
Radical educationRobin Barrow · 1978
Challenging the GiantMary M. Leue · 1992
LazarusMichaël van Canneyt, Mattias Gärtner · 2010
Lazarus Free PascalMatthieu Giroux · 2011
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Monad (category theory) In category theory, a branch of mathematics, a monad is a triple (T,η,μ) consisting of a functor T from a category to itself and two natural transformations…
- Category of rings In mathematics, the category of rings, denoted by Ring, is the category whose objects are rings (with identity) and whose morphisms are ring homomorphisms…
- Adjoint functors In mathematics, specifically category theory, adjunction is a relationship that two functors may exhibit, intuitively corresponding to a weak form of equivalenc…
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- Representable functor In mathematics, particularly category theory, a representable functor is a certain functor from an arbitrary category into the category of sets. Such functors…