Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-08T14:30:26.749910Z
Paper Citation Record · LEDGER
As of 9 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 35 inbound Pith citation observations for arXiv:2502.06768.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-08T14:30:26.749910Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-07T20:56:22.970265Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z
47 of 47 outbound references displayed
External citation measurements
0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z
Observation a99380a0-57d6-40b8-93f1-32d8822d3733 · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Hardness of sampling solutions from the Symmetric Binary Perceptron
Reference 1
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Observation 0537716a-70b0-4789-bd12-d079e69bda9e · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions The masking problem in this case amounts to an instance of SLPN with input dimension N and sample size in [Ω(N log N ), O(N 0.49k)]
Reference 2
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Observation 09a4ea35-a5b6-47a6-8c97-537d9f784b97 · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Convergence Analysis of Discrete Diffusion Model: Exact Implementation through Uniformization
Reference 3
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Observation 29a53bc6-7939-492a-ba15-b29b99d27b5f · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Scaling Diffusion Language Models via Adaptation from Autoregressive Models
Reference 7
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Observation 3576d7e9-9c8b-4982-a9e4-3edd56ab00fc · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions The Curious Case of Neural Text Degeneration
Reference 9
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Observation 8a399de3-29b5-43b9-9e8e-5aca717eba9b · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Task Diversity Shortens the ICL Plateau
Reference 11
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Observation 8c43c252-643c-4c56-9e67-9cc13f14db8b · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Discrete Copula Diffusion
Reference 12
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Observation fd094fe7-6892-41cb-8ce8-8b61edc15d6d · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Think While You Generate: Discrete Diffusion with Planned Denoising
Reference 13
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Observation 20e8a1e7-8bfa-46be-9fdb-ee765c32c0f1 · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Large Language Diffusion Models
Reference 15
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Observation 3913cad7-113c-4ba6-9046-e4215344753f · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Arrows of Time for Large Language Models
Reference 17
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Observation d7d0c6ac-993e-48b9-8995-6d8c8c04bd5e · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Z., Bezemek, Z., Patel, S., Yao, S., Rector- Brooks, J., Tong, A., and Chatterjee, P
Reference 18
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Observation c0d9fbef-9157-4304-882e-22ccd31abed2 · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Rector-Brooks, J., Hasan, M., Peng, Z., Quinn, Z., Liu, C., Mittal, S., Dziri, N., Bronstein, M., Bengio, Y ., Chatterjee, P., et al
Reference 19
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Observation 8974803b-2a83-44a4-b891-b5bcd1173543 · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions An Overview of Multi-Task Learning in Deep Neural Networks
Reference 20
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Observation eb7ba4f9-f5bb-4b64-892e-2fc9f3e31ed4 · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Simple Guidance Mechanisms for Discrete Diffusion Models
Reference 21
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Observation 080dafbd-fd5b-47ee-af33-e71bfdf5d486 · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Causal Language Modeling Can Elicit Search and Reasoning Capabilities on Logic Puzzles
Reference 22
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Observation d7718d30-0132-4a37-9a28-b545048721a7 · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Llama 2: Open Foundation and Fine-Tuned Chat Models
Reference 23
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Observation 747b8ab0-a13e-4921-b6cb-fb2d19336a54 · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Glauber Generative Model: Discrete Diffusion Models via Binary Classification
Reference 24
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Observation 81cc45e6-46db-49a7-8546-d7f7c832866c · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Energy-Based Diffusion Language Models for Text Generation
Reference 25
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Observation db06a411-7239-4560-acec-193bc9737f02 · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Beyond Autoregression: Discrete Diffusion for Complex Reasoning and Planning
Reference 26
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Observation e3692237-7bc8-44bc-9571-a8bb078fada1 · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions TinyLlama: An Open-Source Small Language Model
Reference 27
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Observation f472a23a-6263-4708-a269-052cc1f7914d · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Masked Diffusion Models are Secretly Time-Agnostic Masked Models and Exploit Inaccurate Categorical Sampling
Reference 28
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Observation 49205f45-5c7d-4a25-8f2b-013ccd93bc00 · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions A Reparameterized Discrete Diffusion Model for Text Generation
Reference 29
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Observation 29a22153-4f1e-4320-9340-2ba4dbb5dc01 · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions left-to-right
Reference 31
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Observation fb0c09e8-1f73-4296-b6c0-6c26eac71244 · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions left-to-right
Reference 32
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Observation 71d17a1d-f2ed-44dd-90b6-33477054b7ec · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Recently, discrete diffusion models have emerged as a promising approach for discrete data apart from autoregressive models
Reference 33
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Observation ba5d92fa-a074-4e4b-b9c3-e2b1ab5b581f · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Building on these intuitions, (Shih et al., 2022; Hoogeboom et al., 2021a) proposed any-order modeling, which allows a model to generate in any desired order
Reference 34
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Observation 649038e1-f737-4c0e-ac4e-e9624d1a12a0 · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Unresolved cited work
Reference 35
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Observation 638059af-1f93-41f3-aeaf-7ef5f4a40e76 · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Theorem B.8 (Theorem 2.1 in (Alaoui & Gamarnik, 2024)4)
Reference 37
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Observation 083c517b-5ba7-4eb5-ac7c-eeee4712e83a · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Unresolved cited work
Reference 40
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Observation 160d0c7b-964c-4ba8-9fef-eec79366d879 · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions The prediction is that in this regime, no efficient algorithm can achieve optimal recovery (Krzakala & Zdeborov´a, 2009)
Reference 41
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Observation 160aa1b7-dfed-446a-8a18-6aa31d5e2d4f · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Unresolved cited work
Reference 42
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Observation 51fc588f-019f-432d-a00e-bb8147138038 · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions In particular, we use AdamW optimizer (Loshchilov & Hutter, 2017), setting β1 = 0.9, β2 = 0.95, and a weight decay of 0.1 and L =
Reference 43
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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e3bdcbc2-c265-4c1f-a4f6-fd06569fd117 · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions For the Sudoku dataset, we use 6M GPT-2 model, and for the Zebra dataset, we use 19M model
Reference 46
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Observation adc66e30-97da-4ea4-bdb6-e41e5ae78fb3 · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Let x(n) be a sequence with n tokens being masked from x0, and xi(n) denotes the ith token value of the sequence x(n)
Reference 47
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Observation f4311bb5-79db-4f82-9ed8-049ef7b77a57 · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions 3.3 this implies a range of masking fractions at which Ω(1) fraction of masking problems are computationally hard
Reference 50
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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 4ae739bd-465e-49fd-91db-70bf36db96aa · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions To attain a proxy MDM for the Bayes optimal predictor, we further train it for 5 × 104 iterations
Reference 512
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Observation b73e98bd-08c8-49b5-921f-4760f318d6fe · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Scaling up Masked Diffusion Models on Text
Reference 2008
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Observation 5fe1ab87-98ac-40b2-a22d-729a381255dd · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Unresolved cited work
Reference 2009
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Observation ab7b43b3-8d12-47ab-806d-25df3894b371 · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions BERT: Pre-training of deep bidirectional transformers for lan- guage understanding
Reference 2011
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Observation d98187dd-a582-42f6-8540-bbb602a7fdbd · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Autoregressive Diffusion Models
Reference 2019
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Observation 7e72164c-a837-4f8b-b1ec-18f6749ab3c5 · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Training Compute-Optimal Large Language Models
Reference 2020
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Observation 216d8b06-891c-496d-8dda-f2f0d45217ea · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Reverse Training to Nurse the Reversal Curse
Reference 2021
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Observation c4f92b62-e5ad-434d-91f3-0d056214a6e3 · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Efficient Training of Language Models to Fill in the Middle
Reference 2022
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Observation 0ba1a31a-e36c-44b9-a518-7cb3b123c37c · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Related works Discrete diffusion models
Reference 2023
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Observation 0a407f53-3870-479f-a04c-a46cc2441bd5 · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Premise Order Matters in Reasoning with Large Language Models
Reference 2024
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Observation e0579f42-412d-4bf4-b0e9-f001140f1390 · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions Your Absorbing Discrete Diffusion Secretly Models the Conditional Distributions of Clean Data
Reference 2025
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Observation 5ae789bc-d2b7-490d-a1eb-89e911c623ad · outbound
Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions We also note that unless otherwise specified, we maintain the same training configuration throughout the paper
Reference 2048
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Observation 73e3c32e-5a1d-46d3-b944-e5ee4a85b4b8 · inbound
Theoretical Benefit and Limitation of Diffusion Language Model Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 30
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Observation 2ef2e5c8-0bcf-4e0b-8515-c33e7a294742 · inbound
dKV-Cache: The Cache for Diffusion Language Models Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 27
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Observation 43f65ed7-2bae-46c6-a305-931092ef3461 · inbound
Sudoku-Bench: Evaluating creative reasoning with Sudoku variants Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 2018
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Observation 7e911319-7361-4d72-8b4a-5841c0f56d71 · inbound
Accelerated Sampling from Masked Diffusion Models via Entropy Bounded Unmasking Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 20
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Observation 449b9824-08f5-4a6f-8112-d8945380d6c1 · inbound
Any-Order Flexible Length Masked Diffusion Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 20
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Observation 1553b1ed-37af-4d21-b099-ebc5fba74812 · inbound
Revolutionizing Reinforcement Learning Framework for Diffusion Large Language Models Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 15
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Observation 9b6bd5dd-0b28-436a-8044-aa8bd7b12cb1 · inbound
Fine-Tuning Masked Diffusion for Provable Self-Correction Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 9
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Observation 56bfbda1-683b-4fb9-8d47-3eedf29945a3 · inbound
Coevolutionary Continuous Discrete Diffusion: Make Your Diffusion Language Model a Latent Reasoner Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 23
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Observation fec7feb1-b6b8-4129-9369-9fee9c7b174e · inbound
Orchestrating Dual-Boundaries: An Arithmetic Intensity Inspired Acceleration Framework for Diffusion Language Models Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 18
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Observation fbc823c4-a07f-4cbd-9dd9-d894542b9dca · inbound
The Flexibility Trap: Rethinking the Value of Arbitrary Order in Diffusion Language Models Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 14
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Observation 8f209714-d395-4eef-9b0d-3360128e187d · inbound
Can I Have Your Order? Monte-Carlo Tree Search for Slot Filling Ordering in Diffusion Language Models Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 20
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Observation 27b1c985-13df-4f1d-8d20-52e66d90387f · inbound
Improving Sampling for Masked Diffusion Models via Information Gain Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 9
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Observation e9b30012-3594-4bb1-b7f0-c952572a09ec · inbound
NI Sampling: Accelerating Discrete Diffusion Sampling by Token Order Optimization Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 7
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Observation 2a270bd4-ece4-49c9-9000-5c95cf327229 · inbound
Dream-Cubed: Controllable Generative Modeling in Minecraft by Training on Billions of Cubes Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 19
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Observation b73b694c-31ba-44c9-9f19-96b90f55ac1d · inbound
Leveraging Pretrained Language Models as Energy Functions for Glauber Dynamics Text Diffusion Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 5
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Observation bcf2ee0a-9d5c-43b2-8c08-3f2ac6e6a856 · inbound
DVD: Discrete Voxel Diffusion for 3D Generation and Editing Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 52
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Observation 562dd056-20fa-44c6-b398-6f276be30f7e · inbound
DVD: Discrete Voxel Diffusion for 3D Generation and Editing Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 53
Source-reported events for the cited work
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Observation 9b467d38-df70-4eb6-80ab-ba9ba05acfc1 · inbound
BadDLM: Backdooring Diffusion Language Models with Diverse Targets Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 29
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Observation 53fe7f81-04c3-4510-8d9b-59349b00f96c · inbound
Differences in Text Generated by Diffusion and Autoregressive Language Models Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 16
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Observation 18a23232-b700-4907-b2d2-190b480ffa37 · inbound
Machine Unlearning for Masked Diffusion Language Models Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 19
Source-reported events for the cited work
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Observation 3eda5b08-5efa-4399-8b57-d744b69c60dc · inbound
Learned Relay Representations for Forward-Thinking Discrete Diffusion Models Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 15
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Observation cbceaca5-1261-4336-9be3-144ec8575287 · inbound
Learned Relay Representations for Forward-Thinking Discrete Diffusion Models Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 15
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Observation 61ab2ed5-f5e0-44d3-b4b2-8535f3cf6cc8 · inbound
Looped Diffusion Language Models Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 32
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Observation 723d248e-d4b7-4dc8-9b37-76a587a455f3 · inbound
Fixed-Point Masked Generative Modeling Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 38
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Observation 3b4c2b8a-c273-4092-9b07-3132d93f3b52 · inbound
Adaptive Order Policies for Masked Diffusion Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 125
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Observation 447343f6-155d-4d50-8f20-76e34eff5d9d · inbound
Greedy Coordinate Diffusion: Effective and Semantically Coherent Adversarial Attacks via Diffusion Guidance Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 44
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Observation cc42d0f7-66a2-433b-8808-5799b9d059f8 · inbound
VoidPadding: Let [VOID] Handle Padding in Masked Diffusion Language Models so that [EOS] Can Focus on Semantic Termination Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 31
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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e33f9926-e033-49e2-95dd-43c885a76833 · inbound
HERALD: High-Throughput Block Diffusion LLM Serving via CPU-GPU Cooperative KV Cache Retrieval Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 9ca19fe0-953c-4045-87e7-55dd8ff041cd · inbound
HERALD: High-Throughput Block Diffusion LLM Serving via CPU-GPU Cooperative KV Cache Retrieval Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 141d10e3-4a78-4148-b518-d503eb1b40c1 · inbound
Posterior Refinement: Fast Language Generation via Any-Order Flow Maps Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c3da5f8a-1093-44ec-a48d-29ed37552aae · inbound
Flow Reasoning Models: Scaling Reasoning Through Iterative Self-Refinement Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 2a17ccb4-4df9-4ffa-b53e-e7c6fda83cbc · inbound
Set Diffusion: Interpolating Token Orderings Between Autoregression and Diffusion for Fast and Flexible Decoding Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 126
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation adf67ca4-000e-483b-bee8-d0b37172eda4 · inbound
Token Time Continuous Diffusion for Language Modeling Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0763a10f-93ad-47f4-8df0-be35922051a6 · inbound
Induction in Both Directions: A Mechanistic Analysis of In-Context Learning in Masked Diffusion Language Models Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0ad39670-df90-4732-a662-909b84523784 · inbound
From Interface to Inference: Eliciting Any-Order Inference from Any-Order Models Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusions
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.