“LLM is 'AI that generates and explores text,' and the diffusion model is 'AI that generates images and data.'”

“This article highlights the upcoming exhibition of Quanmatic at JID 2026.”

“The funding is being used to accelerate Harmonic’s momentum in developing Aristotle, which the company claims is the world’s […]”

“The American Mathematical Society president said it was 'rigorous, correct, and elegant.'”

“The split came out to 52% augmentation and 45% automation on Claude.ai, a slight shift from January 2025 when augmentation led 55% to 41%.”

“The article explores how combining separately trained models can create a 'super model' that leverages the best of each individual model.”

“Since the release of GPT 5.2, AI tools have become inescapable in high-level mathematics.”

“N/A - Lacking a specific quote from the content (Tweet and Paper).”

“I wanted to review the definitions of specific operations, so I summarized them.”

“はじめに ディープラーニングの実装をしているとベクトル微分とかを頻繁に目にしますが、具体的な演算の定義を改めて確認したいなと思い、まとめてみました。”

“Terrence Tao: "Erdos problem #728 was solved more or less autonomously by AI"”

“Unfortunately I cannot directly pull the quote from the linked content due to access limitations.”

“”

“Softmax takes the raw, unbounded scores produced by a neural network and transforms them into a well-defined probability distribution...”

“「本当に正確に論理的な推論ができているのか？」”

“投資ポートフォリオ最適化は、金融工学の中でも非常にチャレンジングかつ実務的なテーマです。”

“今回、私は最新論文「Geometry of Reason: Spectral Signatures of Valid Mathematical Reasoning」に出会い、Spectral Attention解析という新しい手法を試してみました。”

“Geometry of Reason: Spectral Signatures of Valid Mathematical Reasoning”

“本記事では、私がこの手法を実際に試した経験をもとに、理論背景から具体的な解析手順、苦労した点や得られた教訓までを詳しく解説します。”

“なるほど、これは パターソン復号法における「エラー値の計算」で微分が現れる理由 を、関数論・有限体上の留数 の観点から説明するという話ですね。”

“The new method mHC, Manifold Constrained Hyper Connections, keeps the richer topology of hyper connections but locks the mixing behavior on […]”

“The user's question: "I wanna learn machine learning, how should approach about this ? Suggest if you have any other resources that are better, I'm a complete beginner, I don't have experience with python or its libraries, I have worked a lot in c++ and javascript but not in python, math is fortunately my strong suit although the one topic i suck at is probability(unfortunately)."”

“I'm looking for resources to study the following: -statistics and probability -calculus (for applications like optimization, gradients, and understanding models) ... I don't want to study the entire math courses, just what is necessary for AI/ML.”

“DeepSeek solved the instability by constraining the learnable matrices to be "Double Stochastic" (all elements ≧ 0, rows/cols sum to 1). Mathematically, this forces the operation to act as a weighted average (convex combination). It guarantees that signals are never amplified beyond control, regardless of network depth.”

“"RAG (Retrieval-Augmented Generation) is a representative mechanism for solving these problems."”

“Hey all, I recently launched a set of interactive math modules on tensortonic.com focusing on probability and statistics fundamentals. I’ve included a couple of short clips below so you can see how the interactives behave. I’d love feedback on the clarity of the visuals and suggestions for new topics.”

“Joel David Hamkins is a mathematician and philosopher specializing in set theory, the foundations of mathematics, and the nature of infinity...”

“The paper proposes local approximations to the global Minkowski Hamiltonian in quantum field theory (QFT) motivated by the operator-algebraic property of nuclearity.”

“Both uniform attention and trainable attention architectures implement the same algorithm via topologically and geometrically equivalent representations.”

“The paper classifies the irreducible components of V(d,n), gives criteria for the ideal I(d,n) to be prime or a complete intersection, and for the variety V(d,n) to be normal. It also gives near-equivalent conditions for V(d,n) to be factorial.”

“The paper derives bilinear tau forms of the canonically quantized Painlevé equations, relating them to those previously obtained from the $\mathbb{C}^2/\mathbb{Z}_2$ blowup relations.”

“The paper demonstrates that the most general inertial transformation which further preserves the speed of light in all directions is, however, still affine linear.”

“The paper shows that the generalization error of DGFMs tends to zero as the number of neurons and the training time tend to infinity.”

“The paper shows that non-planar diagrams, specifically MHV diagrams, can be represented by pseudo-positive geometries in the Grassmannian G(2,n).”

“The paper argues for a shift in emphasis from asymptotic behavior to transient and input-driven dynamics as a primary lens for understanding, testing, and reverse-engineering biological networks.”

“The paper develops a monotone iterative technique of lower and upper solutions to investigate the existence, uniqueness and approximability of the solution for the original classical Melan equation.”

“The article focuses on the mathematical analysis of a chemotaxis-Navier-Stokes system.”

“The paper shows that commutative Frobenius pseudomonoids in the bicategory of spans are in correspondence with 2-Segal cosymmetric sets.”

“The tracking of multiple, unknown targets is formulated as a harmonic extension problem on a cellular sheaf, accommodating nonlinear dynamics and external disturbances for all agents.”

“We show that such structures are in general non-proper.”

“N/A - This is a title and source, not a news article with quotes.”

“The eigenfunctions admit an expansion with universal coefficients so that the dependence on the twist $a$ is hidden only in these ground state eigenfunctions, and we suggest a general formula that allows one to construct these eigenfunctions from non-symmetric Macdonald polynomials.”

“The best model solves 8.25% of tasks at pass@1 (32.50%/4.17%/0.00% by Easy/Medium/High) and 12.00% at pass@4 (50.00%/4.76%/0.00%).”

“The introduction of the 'Darboux family' as a tool for studying r-matrices in four-dimensional indecomposable coboundary Lie bialgebras.”

“For any objective with log-sum-exp structure over distances or energies, the gradient with respect to each distance is exactly the negative posterior responsibility of the corresponding component: $\partial L / \partial d_j = -r_j$.”

“The paper proves that the rescaled process of click times of the tournament ratchet converges as N→∞ to a Poisson process.”

“On $\mathscr{M}$-arrangements of conics and lines with ordinary singularities.”

“The paper establishes continuity of the operators and the unique strong solvability of the corresponding nonlocal parabolic equations in $L_p$ spaces.”

“The paper identifies the obstruction to the existence of the Prequantum Groupoid as the non-additivity of the integration of the prequantum form on the space of loops.”

“Convolution defines a matrix transform that preserves positivity.”