arXiv research

UBI model proves financial equilibrium exists.

Let $M$ and $N$ be Nash manifolds, and $f$ and $g$ Nash maps from $M$ to $N$. If $M$ and $N$ are compact and if $f$ and $g$ are analytically R-L equivalent, then they are Nash R-L equivalent. In the local case, $C^infty$ R-L equivalence of two Nash map germs implies Nash R-L equivalence. This shows a difference of Nash…

Existing model-based reinforcement learning methods often study perception modeling and decision making separately. We introduce joint Perception and Control as Inference (PCI), a general framework to combine perception and control for partially observable environments through Bayesian inference. Based on the fact that…

Nash's theorem proved with Günther's trick

Study the tradeoff between signal distortion and human perception over finite channels.

We propose local symplectic surgery, a two-timescale procedure for finding local Nash equilibria in two-player zero-sum games. We first show that previous gradient-based algorithms cannot guarantee convergence to local Nash equilibria due to the existence of non-Nash stationary points. By taking advantage of the differ…

Machine learning detects NASH patients from medical claims data.

Optimal geometric estimates for Kähler manifolds with bounded Nash entropy

A framework isolates VQA reasoning from perception for better model evaluation.

The paper examines Nash equilibrium in GANs for stationary Gaussian processes.

New method finds all Nash equilibria via vector optimization.

The h-cobordism theorem is a noted theorem in differential and PL topology. A generalization of the h-cobordism theorem for possibly non simply connected manifolds is the so called s-cobordism theorem. In this paper, we prove semialgebraic and Nash versions of these theorems. That is, starting with semialgebraic or Nas…

End-to-end autonomous driving perception learns latent features for better performance.

Algorithm learns Nash equilibria in stochastic games using entropy-regularized policies.

Geometric model explains music perception combining neuroscience and acoustics.

RETR improves indoor radar perception with a novel transformer model.

The study characterizes Nash maps between semialgebraic sets and their properties.

Researchers study how teachers' advising relationships influence their perceptions of satisfaction and students, not policy influence.

A method is provided to resolve Lie algebroids with singularities.

A Nash game theory approach allocates capital requirements among financial institutions.

Study how actions affect perception in embodied agents using group theory.

In this paper we review our earlier work on quantum computing and the Nash Equilibrium, in particular, tracing the history of the discovery of new Nash Equilibria and then reviewing the ways in which quantum computing may be expected to generate new classes of Nash equilibria. We then extend this work through a substan…

Reconstruction-based learning produces uninformative features for perception tasks.

This paper simplifies the Nash Bargaining Solution for use in intellectual property cases.

Proposes a new criterion for selecting Nash equilibria considering both utility and inequality.

Paper refines royalty determination using Bayesian methods.

A new method for RLHF using proximal point Nash learning.

An complete exposition of Matthias Gunther's elementary proof of Nash's isometric embedding theorem.

Ancient Ricci flows with bounded Nash entropy have uniform Sobolev inequalities.

We prove that the infinite family of homotopy 4-spheres constructed by Daniel Nash are all diffeomorphic to 4-sphere.

Tensor models decode human perception and memory using SPO triples.

We give geometrical conditions under which there exist extremal functions for the sharp $L^2$-Nash inequality.

The study examines Nash equilibria in utility maximization games with multiplicative performance criteria.

PeL separates sensory interface optimization from decision learning.

Kuranishi's proof of complex deformation theory revisited

Study Nash equilibrium between broker and trader in a lit exchange with price impact.

We obtain global extensions of the celebrated Nash-Kuiper theorem for $C^{1,θ}$ isometric immersions of compact manifolds with optimal Hölder exponent. In particular for the Weyl problem of isometrically embedding a convex compact surface in 3-space, we show that the Nash-Kuiper non-rigidity prevails upto exponent $θ<1…

PERCEPT detects changes in high-dimensional data streams using topological data analysis.

PAPAL algorithm finds mixed Nash equilibria in continuous games.

Sensorimotor contingency theory offers a promising account of the nature of perception, a topic rarely addressed in the robotics community. We propose a developmental framework to address the problem of the autonomous acquisition of sensorimotor contingencies by a naive robot. While exploring the world, the robot inter…

Improved SEG method converges to Nash equilibrium in bilinear games.

This research uses reinforcement learning to find optimal emission offsets in greenhouse gas markets.

Study shows how multiple traders can trade together without excessive price impact.

While perception tasks such as visual object recognition and text understanding play an important role in human intelligence, the subsequent tasks that involve inference, reasoning and planning require an even higher level of intelligence. The past few years have seen major advances in many perception tasks using deep …

Default-ERM shortcut learning persists even without additional information.

DGP learns speech recognition by modeling complex relationships between utterances.

Study Nash equilibrium in mean field portfolio games with random market parameters.

The study improves deep learning models for safer autonomous vehicles.