TTK base class that embeds points into 2D, under topological constraints. More...

#include <TopologicalDimensionReduction.h>

Inheritance diagram for ttk::TopologicalDimensionReduction:

Public Types
enum class	OPTIMIZER : std::uint8_t { ADAM = 0 , SGD = 1 , LBFGS = 2 }

enum class	MODEL : std::uint8_t { AUTOENCODER = 0 , AUTODECODER = 1 , DIRECT = 2 }

using	REGUL = TopologicalLoss::REGUL

Additional Inherited Members
Public Member Functions inherited from ttk::Debug
	Debug ()

	~Debug () override

virtual int	setDebugLevel (const int &debugLevel)

int	setWrapper (const Wrapper *wrapper) override

int	printMsg (const std::string &msg, const debug::Priority &priority=debug::Priority::INFO, const debug::LineMode &lineMode=debug::LineMode::NEW, std::ostream &stream=std::cout) const

int	printMsg (const std::vector< std::string > &msgs, const debug::Priority &priority=debug::Priority::INFO, const debug::LineMode &lineMode=debug::LineMode::NEW, std::ostream &stream=std::cout) const

int	printErr (const std::string &msg, const debug::LineMode &lineMode=debug::LineMode::NEW, std::ostream &stream=std::cerr) const

int	printWrn (const std::string &msg, const debug::LineMode &lineMode=debug::LineMode::NEW, std::ostream &stream=std::cerr) const

int	printMsg (const std::string &msg, const double &progress, const double &time, const int &threads, const double &memory, const debug::LineMode &lineMode=debug::LineMode::NEW, const debug::Priority &priority=debug::Priority::PERFORMANCE, std::ostream &stream=std::cout) const

int	printMsg (const std::string &msg, const double &progress, const double &time, const debug::LineMode &lineMode=debug::LineMode::NEW, const debug::Priority &priority=debug::Priority::PERFORMANCE, std::ostream &stream=std::cout) const

int	printMsg (const std::string &msg, const double &progress, const double &time, const int &threads, const debug::LineMode &lineMode=debug::LineMode::NEW, const debug::Priority &priority=debug::Priority::PERFORMANCE, std::ostream &stream=std::cout) const

int	printMsg (const std::string &msg, const double &progress, const debug::LineMode &lineMode=debug::LineMode::NEW, const debug::Priority &priority=debug::Priority::PERFORMANCE, std::ostream &stream=std::cout) const

int	printMsg (const std::string &msg, const double &progress, const debug::Priority &priority, const debug::LineMode &lineMode=debug::LineMode::NEW, std::ostream &stream=std::cout) const

int	printMsg (const std::vector< std::vector< std::string > > &rows, const debug::Priority &priority=debug::Priority::INFO, const bool hasHeader=true, const debug::LineMode &lineMode=debug::LineMode::NEW, std::ostream &stream=std::cout) const

int	printMsg (const debug::Separator &separator, const debug::LineMode &lineMode=debug::LineMode::NEW, const debug::Priority &priority=debug::Priority::INFO, std::ostream &stream=std::cout) const

int	printMsg (const debug::Separator &separator, const debug::Priority &priority, const debug::LineMode &lineMode=debug::LineMode::NEW, std::ostream &stream=std::cout) const

int	printMsg (const std::string &msg, const debug::Separator &separator, const debug::LineMode &lineMode=debug::LineMode::NEW, const debug::Priority &priority=debug::Priority::INFO, std::ostream &stream=std::cout) const

void	setDebugMsgPrefix (const std::string &prefix)

Public Member Functions inherited from ttk::BaseClass
	BaseClass ()

virtual	~BaseClass ()=default

int	getThreadNumber () const

virtual int	setThreadNumber (const int threadNumber)

Protected Member Functions inherited from ttk::Debug
int	printMsgInternal (const std::string &msg, const std::string &right, const std::string &filler, const debug::Priority &priority=debug::Priority::INFO, const debug::LineMode &lineMode=debug::LineMode::NEW, std::ostream &stream=std::cout) const

int	printMsgInternal (const std::string &msg, const debug::Priority &priority, const debug::LineMode &lineMode, std::ostream &stream=std::cout) const

int	welcomeMsg (std::ostream &stream)

Protected Attributes inherited from ttk::Debug
int	debugLevel_

std::string	debugMsgPrefix_

std::string	debugMsgNamePrefix_

Protected Attributes inherited from ttk::BaseClass
bool	lastObject_

int	threadNumber_

Wrapper *	wrapper_

Static Protected Attributes inherited from ttk::Debug
static COMMON_EXPORTS debug::LineMode	lastLineMode = ttk::debug::LineMode::NEW

Detailed Description

TTK base class that embeds points into 2D, under topological constraints.

The TopologicalDimensionReduction class provides a backend for dimension reduction using autoencoders, with possible constraints on the preservation of the topology of the input high dimensional point cloud when projecting in low dimension

Author: Mattéo Clémot matte.nosp@m.o.cl.nosp@m.emot@.nosp@m.univ.nosp@m.-lyon.nosp@m.1.fr

Date: 2024.

This module defines the TopologicalDimensionReduction class that serves as a backend for the DimensionReduction module. It embeds high-dimensional point clouds into 2D, under topological constraints, with an autoencoder-based approach.

Online examples:

Topological Autoencoders++ Teaser example
Related publications
"Topological Autoencoders"
Michael Moor, Max Horn, Bastian Rieck, Karsten Borgwardt,
Proceedings of the 37th International Conference on Machine Learning,

"Optimizing persistent homology-based functions"
Mathieu Carriere, Frederic Chazal, Marc Glisse, Yuichi Ike, Hariprasad Kannan, Yuhei Umeda,
Proceedings of the 38th International Conference on Machine Learning,

"Topological Autoencoders++: Fast and Accurate Cycle-Aware Dimensionality Reduction"
Mattéo Clémot, Julie Digne, Julien Tierny,
IEEE Transactions on Visualization and Computer Graphics. Accepted, to be presented at IEEE VIS 2026.