Edge-free but Structure-aware: Prototype-Guided Knowledge Distillation
from GNNs to MLPs
March 23, 2023
| | | | | | | | | | and others
Computer Science
Machine Learning
Artificial Intelligence
Machine Learning
Artificial Intelligence
Distilling high-accuracy Graph Neural Networks (GNNs) to low-latency
multilayer perceptions (MLPs) on graph tasks has become a hot research topic.
However, conventional MLP learning relies almost exclusively on graph nodes and
fails to effe...
Consistent Quantum Causes
March 23, 2023
|
Physics
Quantum Physics
Quantum Physics
Developing a quantum analog of the modern classical theory of causation, as
formulated by Pearl and others using directed acyclic graphs, requires a theory
of random or stochastic time development at the microscopic level, where the
noncomm...
ReVersion: Diffusion-Based Relation Inversion from Images
March 23, 2023
| | | | | | | | |
Computer Science
Computer Vision and Pattern Recognition
Computer Vision and Pattern Recognition
Diffusion models gain increasing popularity for their generative
capabilities. Recently, there have been surging needs to generate customized
images by inverting diffusion models from exemplar images, and existing
inversion methods mainly f...
Homological Quantum Rotor Codes: Logical Qubits from Torsion
March 23, 2023
| | | | |
Physics
Quantum Physics
Quantum Physics
We formally define homological quantum rotor codes which use multiple quantum
rotors to encode logical information. These codes generalize homological or CSS
quantum codes for qubits or qudits, as well as linear oscillator codes which
encod...
Operator Kantor Pairs
March 23, 2023
| |
Mathematics
Rings and Algebras
Group Theory
Kantor pairs, (quadratic) Jordan pairs, and similar structures have been
instrumental in the study of Z-graded Lie algebras and algebraic
groups. We introduce the notion of an operator Kantor pair, a generalization of
Kantor pair...
Typical Macroscopic Long-Time Behavior for Random Hamiltonians
March 23, 2023
| |
Physics
Mathematics
Mathematical Physics
Mathematical Physics
Quantum Physics
We consider a closed macroscopic quantum system in a pure state ψt
evolving unitarily and take for granted that different macro states correspond
to mutually orthogonal subspaces Hν (macro spaces) of Hilbert
space, each...
Discrete signature varieties
March 23, 2023
|
Mathematics
Combinatorics
Algebraic Geometry
Probability
Discrete signatures are invariants computed from time series corresponding to
the discretised version of the signature of paths. We study the algebraic
varieties arising from their images, the discrete signature varieties. We
introduce them...
On the stability of solutions to Schr\"{o}dinger's equation short of the
adiabatic limit
March 23, 2023
| |
Physics
Mathematics
Quantum Physics
Mathematical Physics
Mathematical Physics
We prove an adiabatic theorem that applies at timescales short of the typical
adiabatic limit. Our proof analyzes the stability of solutions to Schrodinger's
equation under perturbation. We directly characterize cross-subspace effects of
pe...
Sign structure of the t-t′-J model and its physical
consequences
March 23, 2023
| | | |
Physics
Strongly Correlated Electrons
Superconductivity
Understanding the doped Mott insulator is a central challenge in condensed
matter physics. In this work, we first explicitly identify a new sign structure
in the t-t′-J model on the square lattice that replaces the conventional
Fermi ...
Modeling Migration-Induced Unemployment
March 23, 2023
Economics
Quantitative Finance
General Economics
Economics
Immigration is often blamed for increasing unemployment among local workers.
However, standard models, such as the neoclassical model and the
Diamond-Mortensen-Pissarides matching model, inherently assume that immigrants
are absorbed into t...