We show that the free Burnside groups B(n,m) are infinite for n≥557
and m≥2. This is the best currently known lower bound for the exponent.
The proof uses iterated small cancellation theory where the induction is based
on the ...
ChatGPT is a Knowledgeable but Inexperienced Solver: An Investigation of
Commonsense Problem in Large Language Models
March 28, 2023
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Computer Science
Computation and Language
Large language models (LLMs) have made significant progress in NLP. However,
their ability to memorize, represent, and leverage commonsense knowledge has
been a well-known pain point. In this paper, we specifically focus on ChatGPT,
a widel...
Topological error correcting processes from fixed-point path integrals
March 28, 2023
Physics
Quantum Physics
Strongly Correlated Electrons
We propose a unifying paradigm for analyzing and constructing topological
quantum error correcting codes as dynamical circuits of geometrically local
channels and measurements. To this end, we relate such circuits to discrete
fixed-point pa...
Structured Video-Language Modeling with Temporal Grouping and Spatial
Grounding
March 28, 2023
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Computer Science
Computer Vision and Pattern Recognition
Existing video-language pre-training methods primarily focus on
instance-level alignment between video clips and captions via global
contrastive learning but neglect rich fine-grained local information in both
videos and text, which is of i...
Fluctuation theorems for quasistatic work
March 28, 2023
Physics
Statistical Mechanics
When a thermally isolated system performs a driving process in the
quasistatic regime, its variation of average energy is equal to its quasistatic
work. Even though presenting this simple definition, few attempts have been
made to describe ...
Dice Semimetric Losses: Optimizing the Dice Score with Soft Labels
March 28, 2023
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Computer Science
Computer Vision and Pattern Recognition
Artificial Intelligence
Machine Learning
The soft Dice loss (SDL) has taken a pivotal role in numerous automated
segmentation pipelines in the medical imaging community. Over the last years,
some reasons behind its superior functioning have been uncovered and further
optimizations...
Accelerating Particle-in-Cell Kinetic Plasma Simulations via
Reduced-Order Modeling of Space-Charge Dynamics using Dynamic Mode
Decomposition
March 28, 2023
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Physics
Computational Physics
Plasma Physics
We present a data-driven reduced-order modeling of the space-charge dynamics
for electromagnetic particle-in-cell (EMPIC) plasma simulations based on
dynamic mode decomposition (DMD). The dynamics of the charged particles in
kinetic plasma ...
A "Perspectival" Mirror of the Elephant: Investigating Language Bias on
Google, ChatGPT, YouTube, and Wikipedia
March 28, 2023
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Computer Science
Computers and Society
Artificial Intelligence
Computation and Language
Machine Learning
Social and Information Networks
Contrary to Google Search's mission of delivering information from "many
angles so you can form your own understanding of the world," we find that
Google and its most prominent returned results - Wikipedia and YouTube - simply
reflect a nar...
Spin-induced offset stream self-crossing shocks in tidal disruption
events
March 28, 2023
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Physics
High Energy Astrophysical Phenomena
Tidal disruption events occur when a star is disrupted by a supermassive
black hole, resulting in an elongated stream of gas that partly falls back to
the pericenter. Due to apsidal precession, the returning stream may collide
with itself, ...
Multi-modal learning for geospatial vegetation forecasting
March 28, 2023
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Computer Science
Machine Learning
Computer Vision and Pattern Recognition
The innovative application of precise geospatial vegetation forecasting holds
immense potential across diverse sectors, including agriculture, forestry,
humanitarian aid, and carbon accounting. To leverage the vast availability of
satellite...