Tootfinder

What is the most optimal diffusion?
Vasili Baranau
https://arxiv.org/abs/2510.07571 https://arxiv.org/pdf/2510.07571

What is the most optimal diffusion?
What is the fastest possible "diffusion"? A trivial answer would be "a process that converts a Dirac delta-function into a uniform distribution infinitely fast". Below, we consider a more reasonable formulation: a process that maximizes differential entropy of a probability density function (pdf) $f(\vec{x}, t)$ at every time $t$, under certain restrictions. Specifically, we focus on a case when the rate of the Kullback-Leibler divergence $D_{\text{KL}}$ is fixed. If $Δ(\vec{x}, t, d{t}) = \fr…

Convergence Theorems for Entropy-Regularized and Distributional Reinforcement Learning
Yash Jhaveri, Harley Wiltzer, Patrick Shafto, Marc G. Bellemare, David Meger
https://arxiv.org/abs/2510.08526

Convergence Theorems for Entropy-Regularized and Distributional Reinforcement Learning
In the pursuit of finding an optimal policy, reinforcement learning (RL) methods generally ignore the properties of learned policies apart from their expected return. Thus, even when successful, it is difficult to characterize which policies will be learned and what they will do. In this work, we present a theoretical framework for policy optimization that guarantees convergence to a particular optimal policy, via vanishing entropy regularization and a temperature decoupling gambit. Our approac…

She's right. So very, very right.
https://www.instagram.com/reel/DOwANiADYoc/?igsh=dnFiN3M5cjJjZXF6

Irene's Entropy on Instagram: "In a world where the top is trying to tear us apart, know that we hold power in our every day decisions of how we treat our friends, strangers, and neighbors. There is always some commonality in our human experience. Find it. Sometimes it takes work, but it’s what will make this world a better place. #storyteller #musician #news #currentevents #quinceñera #empowerment #love #fyp"
229K likes, 15K comments - irenes.entropy on September 18, 2025: "In a world where the top is trying to tear us apart, know that we hold power in our every day decisions of how we treat our friends, strangers, and neighbors. There is always some commonality in our human experience. Find it. Sometimes it takes work, but it’s what will make this world a better place. #storyteller #musician #news #currentevents #quinceñera #empowerment #love #fyp".

Cycle is All You Need: More Is Different
Xin Li
https://arxiv.org/abs/2509.21340 https://arxiv.org/pdf/2509.21340…

Cycle is All You Need: More Is Different
We propose an information-topological framework in which cycle closure is the fundamental mechanism of memory and consciousness. Memory is not a static store but the ability to re-enter latent cycles in neural state space, with invariant cycles serving as carriers of meaning by filtering order-specific noise and preserving what persists across contexts. The dot-cycle dichotomy captures this: transient dots scaffold exploration, while nontrivial cycles encode low-entropy content invariants that …

What influenced the lack of diversity in CSR after the company's losses: evidence from topic modeling
Ruiying Liu, Yuchi Li, Zhanli Li
https://arxiv.org/abs/2509.23424 https…

What influenced the lack of diversity in CSR after the company's losses: evidence from topic modeling
The diversity of corporate social responsibility (CSR) disclosure is a crucial dimension of corporate transparency, reflecting the breadth and resilience of a firm's social responsibility. Using CSR reports of Chinese A-share firms from 2006 to 2023, this paper applies Latent Dirichlet Allocation (LDA) to extract topics and quantifies disclosure diversity using the Gini-Simpson index and Shannon entropy. Regression results show that corporate losses significantly compress CSR topic diversity, c…