OBJECT-CENTRIC LEARNINGGeoCo-SAVi / Research overview

Geometry-calibrated.
Explicitly editable.

aappearanceppositionsscale

GeoCo-SAVi gives object slots readable position and scale, with predictable controls for moving, resizing, and exchanging appearance.

Explore the results
Geometry-Consistent Slot Attention for Explicitly Editable Object RepresentationsDiscover the formulation
01 EDITING AT A GLANCE
Obj3D
Loading scenes…
02 THE REPRESENTATION

Inside an
object slot.

Each object is represented by appearance, position, and scale. GeoCo-SAVi calibrates these factors so their values align with decoded geometry and remain useful across appearances.

aAppearance

The visual content carried by an object slot.

pPosition

An explicit location, aligned with the decoded center.

sScale

A readable extent, with a predictable resizing response.

A geometry-control formulation

Spatially equivariant decoding, calibrated through factual and counterfactual supervision.

COMPOSING APPEARANCE AND GEOMETRY
Donor
adpdsd
Recipient
arprsr
adprsr
Transplanted slot
Recipient center & extentDonor appearance

Shared geometric meaning across appearances.

For video, a temporal initializer carries slot states into the next frame’s refinement.

03 EXPERIMENTAL RESULTS

Predictable edits,
across objects and video.

Position, scale, and appearance commands are evaluated alongside factual reconstruction and object grouping on Obj3D and MOVi-C.

Editing F1 · higher is better

Object editing on Obj3D

Single-frame edits
01Position
93.29GeoCo-SAVi / F1
ISA86.35
SlotAug90.78
GeoCo-SAVi93.29
02Scale
92.72GeoCo-SAVi / F1
ISA62.84
SlotAug82.19
GeoCo-SAVi92.72
03Appearance
91.09GeoCo-SAVi / F1
ISA75.73
SlotAug78.20
GeoCo-SAVi91.09

Editing F1 (%) against ideal transformations of each model’s factual masks, evaluated on valid edits without boundary filtering.

FACTUAL RECONSTRUCTION & CALIBRATION

Readable geometry.
Preserved reconstruction.

Obj3D · GeoCo-SAVi and ISA
89.8%

Lower position-to-decoded-center error

0.0107 GeoCo-SAVi / 0.1049 ISA
44.210dB

Reconstruction PSNR

44.210 GeoCo-SAVi / 44.145 ISA