Daily research notes24 min read

Which Compute, Which Data?

Polar Switch · Loop depth · Tabular data scaling · Score-SDE

Three main readings: polar-decomposition circuits, forward/backward compute budgets, and distribution shift under data scaling. Another 31 new-preprint/technical-blog briefs and 25 unverified revision notices retain their original dates. The Score-SDE classic derives the one-half factor in probability flow.

MuonScaling lawsPost-trainingDiffusion models
Daily classic · 2021Score-SDE
Main reading · New preprintRead Sections 3–4 and experimental tables; not independently reproduced

Polar Switch: optimize the circuit before approximating polar

Polar Switch: Fast Muon Orthogonalization with Polynomial Circuits
Zhehang Du · Weijie Su
First posted 2026-10-19 13:06 EDT · v1

Muon's cost depends on reusing matrix products, not only polynomial degree. For normalized X, Polar Switch searches polynomial circuits with limited buffers; the corresponding singular-value map is an odd polynomial. [1]

Spectral map in exact arithmetic; not an elementwise rule for arbitrary noncommuting buffers
X=UΣV⊤,X←h(XX⊤)X=U[Σh(Σ2)]V⊤,p(σ)=σh(σ2)X=U\Sigma V^\top,\qquad X\leftarrow h(XX^\top)X=U[\Sigma h(\Sigma^2)]V^\top,\qquad p(\sigma)=\sigma h(\sigma^2)
Restricted circuit: k matrix products; both coefficients and buffer connections are searched
Bw←aBiBj+bBr+cI,deg⁡p≤2k+1+1B_w\leftarrow aB_iB_j+bB_r+cI,\qquad \deg p\le 2^{k+1}+1
MethodFLOPs / n³Final singular-value interval
Polar Express15α + 5[0.858872, 1.141128]
PS2-556α + 10[0.872263, 1.106236]
PS3-556α + 10[0.898309, 1.080954]
n×m, n≤m, α=m/n; input singular values [0.001,1], exact arithmetic. PS2/3 use 2/3 buffers. [1]
Main reading · New preprintRead setup, fitted law, budget analysis and validation experiments

Loop depth versus backward depth: truncation need not save compute

Truncate or Not? A Scaling Study of Looped Transformers with Truncated Backpropagation
Xuyuan Xiong · Siyu Chen · Zihan Shao · Yue Su · Weiyang Jin · Ping Luo · Zhuoran Yang · Xihui Liu
First posted 2026-10-19 04:52 EDT · v1

Let T be forward loops and B≤T backward loops. Across 592 runs with 58–919M non-embedding parameters, repeated computation is mapped to effective parameters; N_once / N_rec count non-recurrent / recurrent parameters. [2]

Empirical fit; D counts training tokens, not a universal scaling theorem
L=E+[A(Neff/N0)−α+H(D/D0)−β]κ,Neff=Nonce+g(T,B)NrecL=E+\left[A(N_{\rm eff}/N_0)^{-\alpha}+H(D/D_0)^{-\beta}\right]^\kappa,\quad N_{\rm eff}=N_{\rm once}+g(T,B)N_{\rm rec}
Fitted p=0.23677, q=1.02181; C approximates leading FLOPs
g(T,B)=exp⁡{c(1−T−pB−q)},C≈6D[Nonce+T+2B3Nrec]g(T,B)=\exp\{c(1-T^{-p}B^{-q})\},\qquad C\approx6D\left[N_{\rm once}+\frac{T+2B}{3}N_{\rm rec}\right]
Within the feasible continuous relaxation: when T and B are both free, the fitted model favors full backpropagation
q>2p⟹arg⁡max⁡1≤B≤T, T+2B=Sg(T,B)=(S/3,S/3)q>2p\quad\Longrightarrow\quad \arg\max_{1\le B\le T,\ T+2B=S}g(T,B)=(S/3,S/3)
Parameters / tokens(T,B)=(8,2) loss(4,4) loss
60M / 17.2B2.52112.4933
240M / 17.2B2.27782.2642
FineWeb-Edu, matched theoretical FLOPs; matrix parameters use MuonH. [2]
Main reading · New preprintRead Sections 3–5 and fitting details in the appendix

More data makes the validation distribution matter

On Data Scaling in Tabular ML: More Data, Better Generalization?
Ivan Rubachev · Nikita Lazarev · Artem Babenko
First posted 2026-10-19 13:40 EDT · v1

Eight real tabular tasks scale to ten million samples, evaluated under random splits and temporal/group shifts. Error separates into a decreasing term and a floor for dataset d and method m: [3]

E is RMSE or 1−AP; shared exponents are shared within a dataset only
Ed,m(N)=ad,m(N/104)−b+cd,m,b=bd or bd,m\mathcal E_{d,m}(N)=a_{d,m}(N/10^4)^{-b}+c_{d,m},\qquad b=b_d\ \text{or}\ b_{d,m}
TaskMethod-specific exponent R²Shared exponent R²
Cooking0.99380.9931
Jane Street0.93120.9024
71 curves, 9 methods; mean R² drops by less than 0.01 on 7/8 tasks when sharing exponents. These are in-sample fits. [3]

Tuning on in-distribution validation can worsen out-of-distribution performance as data grows. Deployment-representative validation mitigates this in MLP experiments; adding OOD examples to PFN context does not always fix it. [3]

Brief · New preprintBased on the abstract; full theorems and experimental tables not checked

T-MUON: tensorized spectral updates

T-MUON: Tensorizing Muon via t-SVD for Large Language Model Pre-training
Dongyang Li · Mingsong Yan · Zheng Zhang · Sui Tang
First posted 2026-10-17 21:20 EDT · v1

Extends Muon using t-SVD and transform-domain operators. Preferred tensorizations vary across 51M–1.3B pretraining models; one transform's advantage is not universal. [4]

Brief · New preprintBased on the abstract; full theorems and experimental tables not checked

A statistical model of Muon

A Statistical Viewpoint on Adam, Shampoo and Muon
Tetiana Parshakova · Robert M. Gower · Paulo Orenstein
First posted 2026-10-17 15:41 EDT · v1

Connects Adam, Shampoo and Muon through structured gradient covariance, proposing MN-Muon. It beats Muon in small GPT comparisons, but is comparable to or slightly below NorMuon in the best medium-scale configurations. [5]

Brief · New preprintBased on the abstract; full theorems and experimental tables not checked

DP-Muon: clipping matters alongside privacy noise

How Does Muon Work in Private Deep Learning? Scalable Differentially Private Training via Orthogonalization
Alexander Gaponov · Grigory Malinovsky · Egor Shulgin · Peter Richtarik
First posted 2026-10-17 11:00 EDT · v1

Analyzes clipping alongside orthogonalization; the best optimizer in language-model experiments still depends on batch size. The abstract does not support an unconditional rate or uniform superiority to DP-Adam. [6]

Brief · New preprintBased on the abstract; full theorems and experimental tables not checked

Halcyon: does text-to-image need language pretraining?

Text-to-Image Generative Modeling Without Language Pretraining
Keshigeyan Chandrasegaran · Yue Zhao · Armin W. Thomas · Ehsan Adeli · Jiajun Wu · Juan Carlos Niebles · Li Fei-Fei · Michael Poli
First posted 2026-10-19 13:59 EDT · v1

Trains from scratch on 100M image–text pairs. Controlled experiments find no T2I gain from text-only pretraining. Cross-model compute ratios compare different training recipes, not strictly matched single-model ablations. [7]

Brief · New preprintBased on the abstract; full theorems and experimental tables not checked

Ropedia W0: human experience and robot data

Ropedia W0: Scaling Loco-Manipulation World Models across Embodiments with Human Experience
Tianqi Liu · Hanfei Zhao · Qifeng Liang · Hui En Pang · Jiarui Xu · Sayang Mu · Penghao Qiu · YingSheng Zhang · Jun Wang · Ziang Cao · Mingze Sun · Yukang Cao · Fangzhou Hong · Zhaoxi Chen · Ziwei Liu
First posted 2026-10-19 13:59 EDT · v1

Uses about 10k hours of human video and 3k hours of robot experience for a cross-embodiment world model, reporting benefits from both data axes; no power-law exponent is verified here. [8]

Brief · New preprintBased on the abstract; full theorems and experimental tables not checked

Physical RSI: observational capability forecasting

Where is Physical RSI capability from? An Observational Scaling Law of LLM-as-policy
Zekai Li · Jiayi Yu · Jinlu Zhang · Luyang Niu · Zekun Qi · Jun Zheng · Xuchuan Chen · Dairu Liu · Yintianrun Zhang · He Wang · Li Yi
First posted 2026-10-19 13:59 EDT · v1

Across 18 manipulation tasks with fixed interaction budgets, capability proxies and early feedback forecast self-improvement. Observational relationships do not identify causal effects of individual scaling axes. [9]

Brief · New preprintBased on the abstract; full theorems and experimental tables not checked

Answer delivery also costs tokens

Answer Delivery Under a Shared Token Budget: An Audited Study of Stopping and Finalization
Yupeng Chang · Linyuan Gao · Zhiyuan Li · Yuan Wu · Yi Chang
First posted 2026-10-19 09:35 EDT · v1

Charges finalization prompts to the shared budget. On 100 fresh GSM8K problems per checkpoint, accuracy rises 8/7 percentage points, while physical token-slot savings remain below 1%. [10]

Brief · New preprintBased on the abstract; full theorems and experimental tables not checked

BOSS: generate, judge and stop under one budget

BOSS: Token-Budgeted Online Sampling and Selection for LLM Reasoning
Yupeng Chang · Yahan Li · Chenlu Guo · Diana Inkpen · Yuan Wu · Yi Chang
First posted 2026-10-19 09:34 EDT · v1

Charges both prompt and completion tokens while allocating generation, judging and stopping online. Best in 22 of 24 configurations, within the compared policies and budget grid. [11]

Brief · New preprintBased on the abstract; full theorems and experimental tables not checked

RAG: corpus growth also grows distractors

Large-Scale Biomedical RAG: Corpus Scaling, Document Representation, and Efficiency Trade-offs
Adrián Sánchez-Freire · Gonzalo Pérez-Gómez · Aitziber Atutxa · Ander Barrena
First posted 2026-10-19 09:08 EDT · v1

Holds relevant documents fixed while adding distractors to study retrieval rankings and storage/retrieval granularity. This is corpus scaling, not parameter scaling. [12]

Brief · New preprintBased on the abstract; full theorems and experimental tables not checked

Indic: mixing synthetic pretraining data

Scaling Synthetic Pre-training Data and Evaluation for Indic LLMs
Abhinav Khattar · Aishwarya Chhabra · Ameya Velingker · Anusha Kamath · Brandon Norick · Kanishk Singla · Kiran Praveen · Markus Kliegl · Mohammad Qazim Bhat · Mostofa Patwary · Niket Agarwal · Rajpreet Thethy · Ramani Akkati · Raviraj Joshi · Sai Nishanth Padala · Shuoyang Ding · Sriharsha Niverty · Utkarsh Vaidya · Vitaly Lavrukhin · Yev Meyer · Anoop Kunchukuttan · Mitesh Khapra · Mohammed Safi Ur Rahman Khan · Rudra Murthy · Sumanth Doddapaneni · Thanmay Jayakumar · Ujjwal Sharma
First posted 2026-10-19 04:30 EDT · v1

Builds a 2.83T-token resource across 22 languages and studies synthetic/natural text and English mixtures in continued pretraining. Mixture gains remain language- and evaluation-dependent. [13]

Brief · New preprintBased on the abstract; full theorems and experimental tables not checked

LP-SMC: particle count is not lineage diversity

Keep the Lineages Alive: Diversity-Preserving SMC for Diffusion LLM Decoding
Minoo Ahmadi · Seyedarmin Azizi · Mehdi Kamal · Massoud Pedram
First posted 2026-10-19 03:30 EDT · v1

Uses Chopthin and retention to reduce lineage collapse in diffusion-language decoding. Oracle coverage improves, with final accuracy improving in 11/12 cases. Reset ESS alone does not establish restored diversity. [14]

Brief · New preprintBased on the abstract; full theorems and experimental tables not checked

RLVR: limits of adaptive decoding support

Adaptive Decoding Methods for Token-Efficient Reinforcement Learning
Zhaonan Li · Zelei Cheng · Amritansh Mishra · Chia-Hsuan Lee · Mann Patel · Sambit Sahu · Ben Zhou · William M. Campbell
First posted 2026-10-19 02:13 EDT · v1

Expands top-k for a 4B code model under 150M tokens. It beats fixed k=10 but is close to the best fixed k=20; the single test run ties. This does not establish universal superiority to fixed policies. [15]

Brief · New preprintBased on the abstract; full theorems and experimental tables not checked

Decision models after truncated reasoning

Truncated Reasoning Under a Budget: Evaluating System-1 Models as Decision-makers
Zhongyin Wang · Zhaoqian Xue · Junting Mu · Haozheng Liu · Ye Yuan · Haolun Wu · Lingyao Li
First posted 2026-10-19 00:29 EDT · v1

Evaluates 35 model pairings with a small decision model reading truncated traces. Cost benefits are offline held-out estimates, not direct measurements of online deployment savings. [16]

Brief · New preprintBased on the abstract; full theorems and experimental tables not checked

Spherical fixed-point reasoning and adaptive halting

Spherical Fixed-Point Reasoners: Adaptive Loop Halting on the Hypersphere
Arber Zela · Artavazd Maranjyan · Pol Puigdemont · David Berghaus · Valentyn Boreiko · Volkan Cevher
First posted 2026-10-18 21:45 EDT · v1

Constrains recurrent states to a sphere and chooses depth through fixed-point residuals. The abstract describes conditional stability; without full assumptions, it is not reported as unconditional convergence. [17]

Brief · New preprintBased on the abstract; full theorems and experimental tables not checked

A horizon ceiling for curriculum learning

Curriculum Learning Teaches LLMs Long-Horizon Implicit Reasoning, Up To A Limit
Jimson Huang · Maxwell Nickell · Ruowang Zhang · Abulhair Saparov
First posted 2026-10-18 20:32 EDT · v1

At matched compute, curriculum learning improves implicit long-horizon reasoning, but look-ahead saturates; scaling training does not remove the observed task-specific ceiling. [18]

Brief · New preprintBased on the abstract; full theorems and experimental tables not checked

ATEST: budgets respond to system load

ATEST: Adaptive Resource-Aware Test-Time Scaling for LLM Inference
Mobina Kashaniyan · Ali Jannesari
First posted 2026-10-18 16:23 EDT · v1

Includes GPU load and energy in inference-budget control, trading accuracy against latency and throughput. Equal token budgets need not mean equal system cost. [19]

Brief · New preprintBased on the abstract; full theorems and experimental tables not checked

Noise-rejuvenated SMC for flow matching

Test-Time Scaling of Text-to-Image Flow Matching Models with Noise-Rejuvenated Sequential Monte Carlo
Wenyi Lian · Zheng Zhao · Thomas B. Sch{ö}n
First posted 2026-10-18 15:05 EDT · v1

Refreshes latent noise to preserve search diversity for test-time scaling of deterministic flow matching. This is not simply replacing the original ODE with a reverse diffusion SDE. [20]

Brief · New preprintBased on the abstract; full theorems and experimental tables not checked

P(Yes): what is the baseline behind 15×?

P(Yes): 15$\times$ Improvements via Test-Time Scaling of Decision Models
Lev Stambler
First posted 2026-10-18 15:01 EDT · v1

Search uses a frozen decision model's yes score; fully solved puzzles rise from 2 to 30 out of 128. The 15× ratio starts from a small baseline and should not replace absolute success rates. [21]

Brief · New preprintBased on the abstract; full theorems and experimental tables not checked

ATLAS: concentrate search in selected latents

ATLAS: Attention-Guided Test-Time Latent Selection for Compositional Visual Autoregressive Generation
Hossein Shahabadi · Raya Namazi · Mahdieh Soleymani Baghshah
First posted 2026-10-18 12:42 EDT · v1

Uses attention to target local candidates in visual autoregressive generation under a search budget. Relative gains on targeted categories are not overall image-quality gains. [22]

Brief · New preprintBased on the abstract; full theorems and experimental tables not checked

GeoART: geometric selection for camera-conditioned video

Scales test-time compute with geometry-aware candidate refinement and confidence gating, without extra training. The abstract is insufficient to verify strictly matched-budget superiority. [23]

Brief · New preprintBased on the abstract; full theorems and experimental tables not checked

BatchParScale: sparse communication across streams

BatchParScale: Sparse Batch-Mixing for Sequence Models
Hans Peter Lyngsøe Raaschou-jensen · M. Onurcan Kaya · Desmond Elliott
First posted 2026-10-18 09:14 EDT · v1

Mixes states between parallel streams at selected positions, improving language modeling. Loss gains and factual-retrieval gains do not coincide and should not be conflated. [24]

Brief · New preprintBased on the abstract; full theorems and experimental tables not checked

E-process stopping: which error is controlled?

Calibration-Free Early Stopping for Chain-of-Thought Reasoning via E-processes
Dong-Jae Lee · Gyojin Han · Junmo Kim
First posted 2026-10-18 08:10 EDT · v1

Uses online signal tests to shorten reasoning. The Ville-type bound controls signal false alarms under the relevant null, not the final-answer error rate. [25]

Brief · New preprintBased on the abstract; full theorems and experimental tables not checked

DeGMatch: data matching under a budget

DeGMatch: Target-Aware Reasoning Data Selection via Deconfounded Gradient Matching
Changho Lee · Janghoon Han · Rajdeep Mukherjee · Yeda Song · Lening Nick Cui · Xinya Du · Honglak Lee
First posted 2026-10-17 22:28 EDT · v1

Centers gradients, removes leading directions and gates matches to select target-relevant reasoning data. Evidence is experimental across budgets and model sizes, not a universally optimal mixture theorem. [26]

Brief · New preprintBased on the abstract; full theorems and experimental tables not checked

Scaling models also changes reliability profiles

Revealing what benchmark scores hide: Jointly measuring the breadth and reliability of LLM capabilities using accessibility profiles
Kazem Faghih · Yize Cheng · Shoumik Saha · Mobina Pournemat · Armin Gerami · Soheil Feizi
First posted 2026-10-17 22:15 EDT · v1

Across 20 models and six benchmarks, paraphrase sampling separates accessibility from reliability. Higher mean scores do not imply reliability improves on every problem. [27]

Brief · New preprintBased on the abstract; full theorems and experimental tables not checked

ECHO: reuse the final block for depth scaling

ECHO: Efficient Causal Self-Recursion Beyond Auxiliary Multi-Token Prediction
Yuxuan Zhou · Junyuan Shang · Tianyu Wang · Chunrui Zheng · Zichang Liu · Wenbin Chang · Shuohuan Wang · Dianhai Yu
First posted 2026-10-17 12:18 EDT · v1

Uses a shared final block and multi-step objectives to increase effective depth, comparing gains within budgets. Parameter sharing alone does not establish end-to-end cost savings. [28]

Brief · New preprintBased on the abstract; full theorems and experimental tables not checked

The gains and durability of pretraining filtering

The Effectiveness and Durability of Pretraining Data Filtering in Protein Language Models
Aaron Maiwald · Roderick McNeill · Jaeyoung Lee · Matthew A. Clarke · Lennart Justen · Alejandro Acelas · Ivo Andrews · Giles Harper-Donnelly · Adam Moore · Sophie Rose · Oliver M. Crook · Felix Jackson
First posted 2026-10-19 12:08 EDT · v1

Data-filtering effects in protein language models vary with model scale, while later fine-tuning can weaken their durability. This brief records only scaling and distributional findings. [29]

Brief · New preprintBased on the abstract; full theorems and experimental tables not checked

C-OPSD: not every trajectory needs distillation

Not Every Rollout Needs Distillation: Correctness-Filtered On-Policy Self-Distillation
Harrison Zhao · Lei Huang · Fei Liu · Wen Shi · Zijian Jin
First posted 2026-10-19 01:55 EDT · v1

A signal–noise model fitted at small group size tracks gradient alignment at larger groups. Filtering and packing reduce measured training time by about 40%, while rollout generation is unchanged. [30]

Brief · New preprintBased on the abstract; full theorems and experimental tables not checked

recAMPLIFY: recurrent depth in protein models

recAMPLIFY: Large-Scale Pretraining of Recursive Protein Language Models
Saurav Jha · Qianli Liao · Robert Vernon · Sarath Chandar · Quentin Fournier
First posted 2026-10-19 13:12 EDT · v1

Compares 155M unique parameters trained on 2T tokens with a 350M baseline. Adaptive gating further reduces expected depth, with task-dependent accuracy trade-offs; included for test-time compute scaling. [31]

Brief · New preprintBased on the abstract; full theorems and experimental tables not checked

More student data can still inherit teacher bias

Gaussian surrogates yield finite-sample risks: more student samples need not remove teacher bias, and fixed representations help below a sample-size threshold. The surrogate assumptions are essential. [32]

Brief · New preprintBased on the abstract; full theorems and experimental tables not checked

Visual token count is not actual compute

Are We Evaluating VLM Token Pruning Right? Looking Beyond Accuracy and Token Count
Geng Li · Guohao Chen · Shilin Shan · Jianfei Yang
First posted 2026-10-17 11:15 EDT · v1

Across eight pruning methods, three VLMs and nine benchmarks, equal token counts entail different end-to-end costs; speedup rankings change under a common capability-preservation target. [33]

Brief · Technical blogRead training setup, tool-use tables and negative results; not reproduced

Nesso 3: failed data mixtures are informative

Nesso 3: A 0.4B model that calls tools in Italian and English
Alessandro Ercolani · Edoardo Federici
Published 2026-10-19; time of day not stated

The SFT-trained 0.4B model scores 74 on a 100-item tool test. Adding long-chain ToolMind data scores 49; stronger on-policy distillation reaches 75 but hurts Italian instruction-following and academic metrics, so it is excluded from the release. Over-refusal and mixture adjustments are also documented. Small tests, unreleased synthetic data and limited replication constrain generalization. [34]

Version watch · Not counted as new researchBased on current abstracts and version records; full-text revisions not compared

Version watch: 25 papers, changes unverified

Version watch
Authors listed per row
All updated within the search window; first-posted and version dates listed individually

Topic descriptions identify the papers; they do not claim that these findings first appear in the revisions. Previously covered SLDBench, ICS and self-orchestration are not counted again as news.

Paper / sourceAuthorsFirst / current versionTopic
Vision-language models see more about agriculture than they report, and test-time scaling remains bounded by parametric knowledge [35]Earl Ranario · Jared Smith · Lars Lundqvist · Urmil Jatin Chandarana · Bharath Sridhar · J Mason EarlesFirst 2026-09-08 16:15 / v3 2026-10-19 13:56 EDTBounded test-time budgets for agricultural VLMs
ISO: An RLVR-Native Optimization Stack [36]Hanqing Zhu · Wenyan Cong · Zhizhou Sha · Sagnik Mukherjee · Xinyuan Song · David González-Martínez · Xiaoxia Wu · Yuandong Tian · Shiwei Liu · David Z. Pan · Zhangyang "Atlas" WangFirst 2026-07-21 13:51 / v2 2026-10-19 13:46 EDTISO: RLVR optimization linked to Muon geometry
Test-Time Augmentation for LLMs: Where to Inject Diversity at Inference Time [37]Nikita Kozodoi · Zainab Afolabi · Jack ButlerFirst 2026-08-10 05:31 / v2 2026-10-19 09:05 EDTTest-time augmentation versus reasoning diversity
Open-sci-ref-0.02: open reference baselines for reproducible language model and dataset comparison [38]Marianna Nezhurina · Harsh Raj · Victor May · Jörg Franke · Taishi Nakamura · Timur Carstensen · Niccolò Ajroldi · Ville Komulainen · David Salinas · Jenia JitsevFirst 2025-09-10 17:13 / v4 2026-10-19 07:25 EDTOpen scaling baselines across models and datasets
Bayesian Preference Learning for Test-Time Steerable Reward Models [39]Jiwoo Hong · Shao Tang · Zhipeng WangFirst 2026-02-09 10:55 / v3 2026-10-19 03:59 EDTDemonstration-count scaling in preference reward models
Power Distribution Bridges Sampling, Self-Reward RL, and Self-Distillation [40]Akiyoshi Tomihari · Issei SatoFirst 2026-05-06 02:42 / v2 2026-10-19 01:50 EDTInference cost of power sampling versus distillation
VISTA: Test-Time Compositional Alignment for Visual Autoregressive Generation [41]Hossein Shahabadi · Niki Sepasian · Mahdieh Soleymani BaghshahFirst 2026-08-23 13:46 / v2 2026-10-19 01:47 EDTTest-time search in visual autoregressive models
DiMOS: Doob-Guided Inference-Time Multi-Objective Search for Scientific Design [42]Ziqing Wang · Qijie Zhu · Weimin Wu · Zeqi Ye · Minshuo Chen · Han Liu · Kaize DingFirst 2026-10-05 01:01 / v2 2026-10-19 00:58 EDTSearch budgets in scientific design
Selection, Recombination, or a Fresh Solve? A Candidate-Free Control for Single-Pass Test-Time Aggregation [43]Guiv FarmanfarmaianFirst 2026-08-18 19:17 / v2 2026-10-18 23:10 EDTCandidate aggregation versus fresh independent solving
Recursive Environment Scaling for General Long-Horizon Agents [44]Lingxiao Jing · Zhengbo Jiao · Yichen Xiang · Bofan Zhu · Lingbei Meng · Yan Ni · Haorui Chen · Ran Ran · Zhirong Shen · Yuheng Yang · Chenhang Cui · Yaosong Du · Rui HuangFirst 2026-10-12 04:39 / v2 2026-10-18 21:14 EDTRecursive environment synthesis at matched trajectory budgets
Compute Allocation in Bilinear Contrastive Representation Learning via Scaling Laws [45]Ziyan Chen · Zhongzhu Zhou · Ding-Xuan ZhouFirst 2026-06-25 01:20 / v3 2026-10-18 19:35 EDTModel/data scaling in bilinear contrastive learning
Linear RNN Scaling Laws: When Longer Sequences Beat More Sequences [46]Ziyan Chen · Zhongzhu Zhou · Linhe Zheng · Peilin Liu · Ding-Xuan ZhouFirst 2026-08-23 09:37 / v2 2026-10-18 19:32 EDTSequence-length and parameter scaling in linear RNNs
Escaping Reasoning Basin Collapse with History-Biased Search [47]Lu ChengFirst 2026-09-01 01:15 / v3 2026-10-18 16:34 EDTBASIN: search budget and diversity
On the Role of Batch Size in Stochastic Conditional Gradient Methods [48]Rustem Islamov · Roman Machacek · Aurelien Lucchi · Antonio Silveti-Falls · Eduard Gorbunov · Volkan CevherFirst 2026-03-22 08:23 / v2 2026-10-18 12:38 EDTBatch-size regimes at fixed token budgets
Loop-$μ$P: Residual Scaling and Hyperparameter Transfer in Looped Transformers [49]Shaowen Wang · Bingrui Li · Tansheng Zhu · Ge Zhang · Wenhao Huang · Shen Yan · Jian LiFirst 2026-06-16 18:39 / v3 2026-10-18 10:14 EDTLoop-muP: scale parameterization for looped models
Test-Time Compute Games [50]Ander Artola Velasco · Dimitrios Rontogiannis · Stratis Tsirtsis · Manuel Gomez-RodriguezFirst 2026-01-29 10:18 / v3 2026-10-18 00:59 EDTTest-time computation in games
Chopthin-Consensus Power Sampling: A Diversity-Preserving Approach to LLM Decoding [51]Minoo Ahmadi · Seyedarmin Azizi · Erfan Baghaei Potraghloo · Mehdi Kamal · Massoud PedramFirst 2026-09-10 18:02 / v2 2026-10-17 23:19 EDTChopthin, consensus and power sampling
OccSim: Multi-kilometer Simulation with Long-horizon Occupancy World Models [52]Tianran Liu · Shengwen Zhao · Mozhgan Pourkeshavarz · Weican Li · Nicholas RhinehartFirst 2026-03-30 14:13 / v2 2026-10-17 16:45 EDTOccSim: synthetic-data volume scaling
The Dichotomy Between Pattern Recognition and Step-by-Step Reasoning [53]Amrut Nadgir · Vijay Balasubramanian · Pratik ChaudhariFirst 2026-10-06 18:36 / v2 2026-10-17 16:14 EDTSample scaling for pattern recognition versus stepwise reasoning
Stochastic Optimization Under Power-Law Spectra: Tight Bounds and Shuffling Analysis [54]Christopher De Sa · Thomas Dybdahl Ahle · Yaroslav Bulatov · Christopher RéFirst 2026-09-28 17:01 / v2 2026-10-17 11:43 EDTStochastic optimization and power-law spectra
SignMuon: Communication-Efficient Distributed Muon Optimization [55]Neel Mishra · Jichao Jiang · Kushagara Trivedi · HanQin Cai · Aritra Dutta · Pawan KumarFirst 2026-05-04 09:29 / v2 2026-10-17 09:29 EDTSignMuon
Benchmarking the Limits of In-Context Reinforcement Learning for Ad-Hoc Teamwork [56]Yuheng Jing · Kai Li · Ziwen Zhang · Jiajun Zhang · Zeyao Ma · Jiaxi Yang · Lei Zhang · Zhe Wu · Jinmin He · Junliang Xing · Jian ChengFirst 2026-05-23 02:39 / v3 2026-10-19 02:05 EDTLonger histories need not improve in-context RL
Learning Self-Orchestration in Decentralized Agent Swarms [57]Guowei Xu · Zhenting Qi · Amani Kiruga · Himabindu Lakkaraju · Yilun DuFirst 2026-10-15 13:51 / v2 2026-10-19 11:18 EDTCovered on Oct 17; v2 notice only
Input-Conditioned Search for Efficient Test-Time Scaling of Recursive Reasoners [58]Haochen Shi · Tianwen Fu · Qianggang Ding · Yinhan Lu · Yizhan Li · Huan Zhang · Yajie Zhao · Xingdi Yuan · Hengyang Lu · Bang LiuFirst 2026-10-13 11:25 / v2 2026-10-18 01:13 EDTCovered on Oct 15; v2 notice only
SLDBench v2: Active Scaling Law Discovery [59]Lingbei Meng · Rui Huang · Zhirong Shen · Jinxin Liu · Lingxiao Jing · Haorui Chen · Yaosong Du · Haowei LinFirst 2026-10-12 03:23 / v2 2026-10-17 08:40 EDTCovered on Oct 14; arXiv v2 notice only
Version times use America/New_York; substantive changes have not been established.
Daily classic · Historical paperRead Sections 3.1–3.4 and 4.3 and checked the equation page; experiments not rerun

Score-SDE: same marginals, different paths

Score-Based Generative Modeling through Stochastic Differential Equations
Yang Song · Jascha Sohl-Dickstein · Diederik P. Kingma · Abhishek Kumar · Stefano Ermon · Ben Poole
First posted 2020-11-26; reading v2 (2021-02-10), ICLR 2021
ICLR 2021 Outstanding Paper Award ↗

NCSN (2019) learned scores at multiple noise levels; DDPM (2020) learned discrete denoising chains. Score-SDE unifies them in continuous time: can one score define both stochastic sampling and a deterministic flow? This is historical reading, not news. [60][61]

p_t is the forward marginal density, W Brownian motion; here g is scalar and time-dependent only
dXt=f(Xt,t) dt+g(t) dWt,s∗(x,t)=∇xlog⁡pt(x)dX_t=f(X_t,t)\,dt+g(t)\,dW_t,\qquad s^*(x,t)=\nabla_x\log p_t(x)
Denoising score matching: tractable perturbation kernels supervise the marginal score via conditional scores
L(θ)=Et,X0,Xt ⁣[λ(t)∥sθ(Xt,t)−∇xtlog⁡p0t(Xt∣X0)∥2]\mathcal L(\theta)=\mathbb E_{t,X_0,X_t}\!\left[\lambda(t)\left\|s_\theta(X_t,t)-\nabla_{x_t}\log p_{0t}(X_t\mid X_0)\right\|^2\right]
Reverse-time SDE; integration runs backward with dt<0, so a forward-time Euler sign convention cannot be copied blindly
dXt=[f(Xt,t)−g(t)2s∗(Xt,t)]dt+g(t) dWˉt,t:T→0dX_t=\left[f(X_t,t)-g(t)^2s^*(X_t,t)\right]dt+g(t)\,d\bar W_t,\qquad t:T\to0

The factor of one half comes from conservation of probability, not from simply deleting noise: rewrite Fokker–Planck as a continuity equation. [60]

Short derivation of the paper's probability-flow relation; requires suitable smoothness of densities and coefficients
∂tpt=−∇ ⁣⋅(fpt)+g22Δpt=−∇ ⁣⋅[(f−g22∇log⁡pt)pt]\partial_t p_t=-\nabla\!\cdot(fp_t)+\frac{g^2}{2}\Delta p_t=-\nabla\!\cdot\left[\left(f-\frac{g^2}{2}\nabla\log p_t\right)p_t\right]
Probability-flow ODE: exact scores give the same time marginals as the forward SDE, not the same path distribution
dxtdt=f(xt,t)−12g(t)2s∗(xt,t)\frac{dx_t}{dt}=f(x_t,t)-\frac12g(t)^2s^*(x_t,t)

READ THE ORIGINALS

Original sources

  1. Polar Switch: Fast Muon Orthogonalization with Polynomial Circuits · Primary source; Read Sections 3–4 and experimental tables; not independently reproduced
  2. Truncate or Not? A Scaling Study of Looped Transformers with Truncated Backpropagation · Primary source; Read setup, fitted law, budget analysis and validation experiments
  3. On Data Scaling in Tabular ML: More Data, Better Generalization? · Primary source; Read Sections 3–5 and fitting details in the appendix
  4. T-MUON: Tensorizing Muon via t-SVD for Large Language Model Pre-training · Original abstract and version record
  5. A Statistical Viewpoint on Adam, Shampoo and Muon · Original abstract and version record
  6. How Does Muon Work in Private Deep Learning? Scalable Differentially Private Training via Orthogonalization · Original abstract and version record
  7. Text-to-Image Generative Modeling Without Language Pretraining · Original abstract and version record
  8. Ropedia W0: Scaling Loco-Manipulation World Models across Embodiments with Human Experience · Original abstract and version record
  9. Where is Physical RSI capability from? An Observational Scaling Law of LLM-as-policy · Original abstract and version record
  10. Answer Delivery Under a Shared Token Budget: An Audited Study of Stopping and Finalization · Original abstract and version record
  11. BOSS: Token-Budgeted Online Sampling and Selection for LLM Reasoning · Original abstract and version record
  12. Large-Scale Biomedical RAG: Corpus Scaling, Document Representation, and Efficiency Trade-offs · Original abstract and version record
  13. Scaling Synthetic Pre-training Data and Evaluation for Indic LLMs · Original abstract and version record
  14. Keep the Lineages Alive: Diversity-Preserving SMC for Diffusion LLM Decoding · Original abstract and version record
  15. Adaptive Decoding Methods for Token-Efficient Reinforcement Learning · Original abstract and version record
  16. Truncated Reasoning Under a Budget: Evaluating System-1 Models as Decision-makers · Original abstract and version record
  17. Spherical Fixed-Point Reasoners: Adaptive Loop Halting on the Hypersphere · Original abstract and version record
  18. Curriculum Learning Teaches LLMs Long-Horizon Implicit Reasoning, Up To A Limit · Original abstract and version record
  19. ATEST: Adaptive Resource-Aware Test-Time Scaling for LLM Inference · Original abstract and version record
  20. Test-Time Scaling of Text-to-Image Flow Matching Models with Noise-Rejuvenated Sequential Monte Carlo · Original abstract and version record
  21. P(Yes): 15$\times$ Improvements via Test-Time Scaling of Decision Models · Original abstract and version record
  22. ATLAS: Attention-Guided Test-Time Latent Selection for Compositional Visual Autoregressive Generation · Original abstract and version record
  23. GeoART: Geometry-Aware Refinement via Test-Time Scaling for Camera-Conditioned Video Diffusion · Original abstract and version record
  24. BatchParScale: Sparse Batch-Mixing for Sequence Models · Original abstract and version record
  25. Calibration-Free Early Stopping for Chain-of-Thought Reasoning via E-processes · Original abstract and version record
  26. DeGMatch: Target-Aware Reasoning Data Selection via Deconfounded Gradient Matching · Original abstract and version record
  27. Revealing what benchmark scores hide: Jointly measuring the breadth and reliability of LLM capabilities using accessibility profiles · Original abstract and version record
  28. ECHO: Efficient Causal Self-Recursion Beyond Auxiliary Multi-Token Prediction · Original abstract and version record
  29. The Effectiveness and Durability of Pretraining Data Filtering in Protein Language Models · Original abstract and version record
  30. Not Every Rollout Needs Distillation: Correctness-Filtered On-Policy Self-Distillation · Original abstract and version record
  31. recAMPLIFY: Large-Scale Pretraining of Recursive Protein Language Models · Original abstract and version record
  32. Teacher Supervision, Fixed Representations and Calibration: Exact Risk Calculations for Candidate-Scoring Decision Models · Original abstract and version record
  33. Are We Evaluating VLM Token Pruning Right? Looking Beyond Accuracy and Token Count · Original abstract and version record
  34. Nesso 3: A 0.4B model that calls tools in Italian and English · 2026-10-19; recipe, ablations and failure reports
  35. Vision-language models see more about agriculture than they report, and test-time scaling remains bounded by parametric knowledge · Version date verified; changes not verified
  36. ISO: An RLVR-Native Optimization Stack · Version date verified; changes not verified
  37. Test-Time Augmentation for LLMs: Where to Inject Diversity at Inference Time · Version date verified; changes not verified
  38. Open-sci-ref-0.02: open reference baselines for reproducible language model and dataset comparison · Version date verified; changes not verified
  39. Bayesian Preference Learning for Test-Time Steerable Reward Models · Version date verified; changes not verified
  40. Power Distribution Bridges Sampling, Self-Reward RL, and Self-Distillation · Version date verified; changes not verified
  41. VISTA: Test-Time Compositional Alignment for Visual Autoregressive Generation · Version date verified; changes not verified
  42. DiMOS: Doob-Guided Inference-Time Multi-Objective Search for Scientific Design · Version date verified; changes not verified
  43. Selection, Recombination, or a Fresh Solve? A Candidate-Free Control for Single-Pass Test-Time Aggregation · Version date verified; changes not verified
  44. Recursive Environment Scaling for General Long-Horizon Agents · Version date verified; changes not verified
  45. Compute Allocation in Bilinear Contrastive Representation Learning via Scaling Laws · Version date verified; changes not verified
  46. Linear RNN Scaling Laws: When Longer Sequences Beat More Sequences · Version date verified; changes not verified
  47. Escaping Reasoning Basin Collapse with History-Biased Search · Version date verified; changes not verified
  48. On the Role of Batch Size in Stochastic Conditional Gradient Methods · Version date verified; changes not verified
  49. Loop-$μ$P: Residual Scaling and Hyperparameter Transfer in Looped Transformers · Version date verified; changes not verified
  50. Test-Time Compute Games · Version date verified; changes not verified
  51. Chopthin-Consensus Power Sampling: A Diversity-Preserving Approach to LLM Decoding · Version date verified; changes not verified
  52. OccSim: Multi-kilometer Simulation with Long-horizon Occupancy World Models · Version date verified; changes not verified
  53. The Dichotomy Between Pattern Recognition and Step-by-Step Reasoning · Version date verified; changes not verified
  54. Stochastic Optimization Under Power-Law Spectra: Tight Bounds and Shuffling Analysis · Version date verified; changes not verified
  55. SignMuon: Communication-Efficient Distributed Muon Optimization · Version date verified; changes not verified
  56. Benchmarking the Limits of In-Context Reinforcement Learning for Ad-Hoc Teamwork · Version date verified; changes not verified
  57. Learning Self-Orchestration in Decentralized Agent Swarms · Version date verified; changes not verified
  58. Input-Conditioned Search for Efficient Test-Time Scaling of Recursive Reasoners · Version date verified; changes not verified
  59. SLDBench v2: Active Scaling Law Discovery · Version date verified; changes not verified
  60. Historical reading: Score-SDE v2, Sections 3 and 4.3 · 2021-02-10 version; text and equation page
  61. Official ICLR 2021 Outstanding Paper Awards · Award evidence; checked 2026-10-20
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2026-10-17 08:11 — 2026-10-20 08:11 · America/New_York

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