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ð¯ éžå®è«æ1: AdaGrad-Diff - æé©åã®æ°ãã颚
è«æ: âAdaGrad-Diff: A New Version of the Adaptive Gradient Algorithmâ
arXiv: 2602.13112 | ð è«æPDF
åé: Machine Learning, Optimization
ãªããã®è«æã«å¿ã奪ãããã®ã
AdaGradãšããã°ã深局åŠç¿ã®é»ææãã䜿ãããŠããé©å¿çæé©åææ³ã®å€å žã§ãããããããã®ãå€å žãã«æ°ããæ¯ãå¹ã蟌ãç ç©¶ãçŸããŸããã
åŸæ¥ã®AdaGradã¯åŸé ã®çޝç©äºä¹ãã«ã ã䜿ã£ãŠåŠç¿çã調æŽããŸãããAdaGrad-Diffã¯åŸé ã®å·®åã«æ³šç®ããŸãããã®çºæ³ã®è»¢æãçŽ æŽãããã
# åŸæ¥ã®AdaGrad
G_t = G_{t-1} + g_t^2
lr_adapted = lr / sqrt(G_t + epsilon)
# AdaGrad-Diff
diff_t = g_t - g_{t-1}
G_t = G_{t-1} + diff_t^2
lr_adapted = lr / sqrt(G_t + epsilon)
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å®è£ èšç»
class AdaGradDiff(torch.optim.Optimizer):
def __init__(self, params, lr=0.01, epsilon=1e-10):
defaults = dict(lr=lr, epsilon=epsilon)
super(AdaGradDiff, self).__init__(params, defaults)
def step(self, closure=None):
# åŸé
å·®åããŒã¹ã®é©å¿çåŠç¿çæŽæ°
for group in self.param_groups:
for p in group['params']:
if p.grad is None:
continue
grad = p.grad.data
state = self.state[p]
# ç¶æ
ã®åæå
if len(state) == 0:
state['step'] = 0
state['sum_diff_sq'] = torch.zeros_like(p.data)
state['prev_grad'] = torch.zeros_like(p.data)
# åŸé
å·®åã®èšç®
diff = grad - state['prev_grad']
state['sum_diff_sq'].add_(diff.pow(2))
# é©å¿çåŠç¿ç
adapted_lr = group['lr'] / (
state['sum_diff_sq'].sqrt() + group['epsilon']
)
# ãã©ã¡ãŒã¿æŽæ°
p.data.add_(-adapted_lr * grad)
# 次åã®ããã«åŸé
ãä¿å
state['prev_grad'] = grad.clone()
ãã®ã·ã³ãã«ãªå€æŽãããªãåŸæ¥ã®AdaGradããåªããæ§èœã瀺ãã®ããããã¯åŸé ã®ãå€åããã®ãã®ã«æé©åã®éµãããããã§ãã
ðš éžå®è«æ2: DragDiffusion - ç»åç·šéã®é©åœãåçŸãã
è«æ: âReproducing DragDiffusion: Interactive Point-Based Editing with Diffusion Modelsâ
arXiv: 2602.12393 | ð è«æPDF
åé: Computer Vision, Diffusion Models
åçŸæ§ç ç©¶ã®æçŸ©
ãã®è«æã¯ãåçŸæ§ç ç©¶ããšãããå°å³ã ãæ¥µããŠéèŠãªåéã®äœåã§ãããªãªãžãã«ã®DragDiffusionïŒCVPR 2024ïŒã培åºçã«æ€èšŒããåçŸå¯èœæ§ã確èªããäœæ¥ã
ã§ããããããªãæåçãªã®ãïŒ
åçŸæ§ãããç§åŠã®åºç€ã ããã§ããè«æã«æžãããææ³ãæ¬åœã«åãã®ããã©ããªæ¡ä»¶ã§åãã®ãããããå°éã«æ€èšŒããç ç©¶è ã®å§¿å¢ã«ããšã³ãžãã¢ãšããŠæ·±ãå ±æããŸãã
DragDiffusionã®æ žå¿æè¡
DragDiffusionã¯ããŠãŒã¶ãŒãã¯ãªãã¯ããç¹ãããã©ãã°ãããããšã§ç»åãç·šéããæè¡ã§ãïŒ
- æœåšç©ºéã§ã®ç·šé: ç»åãdiffusion modelã®æœåšè¡šçŸã«å€æ
- ç¹å¶çŽæé©å: ãŠãŒã¶ãŒãæå®ããç¹ã®ç§»åãå¶çŽãšããŠæé©å
- identityä¿æ: ç·šé察象以å€ã®é åã¯å€åãæå°éã«
å®è£ ã®æ žå¿ã¢ã«ãŽãªãºã
def drag_diffusion_step(
latent, # æœåšè¡šçŸ z_t
source_points, # ãã©ãã°éå§ç¹
target_points, # ãã©ãã°çµäºç¹
mask, # ç·šéé åãã¹ã¯
unet, # U-Net model
timestep # diffusion timestep
):
# 1. æœåšè¡šçŸããç¹åŸŽãæœåº
with torch.enable_grad():
latent.requires_grad_(True)
features = unet(latent, timestep, return_intermediates=True)
# 2. Motion supervision loss
motion_loss = 0
for i, (src, tgt) in enumerate(zip(source_points, target_points)):
# ç¹åŸŽãããäžã§ã®ç¹å¯Ÿå¿
src_feature = interpolate_feature(features, src)
tgt_feature = interpolate_feature(features, tgt)
motion_loss += F.mse_loss(src_feature, tgt_feature)
# 3. åŸé
èšç®ãšæœåšæŽæ°
grad = torch.autograd.grad(motion_loss, latent)[0]
latent = latent - 0.01 * grad * mask
return latent
åçŸæ§ã®çºèŠ
è«æã®èè ãã¡ãçºèŠããéèŠãªç¥èŠïŒ
- timestepã®éžæãæ§èœã倧ããå·Šå³: t=0.7-0.8ãæé©
- LoRA fine-tuning: èšç®å¹çãšidentityä¿æã®ãã©ã³ã¹
- mask regularization: ç·šéç¯å²ãå¶åŸ¡ããéèŠæ§
ãããã¯å®è£ ããéã®éèŠãªãã³ãã§ãã
ð° éžå®è«æ3: Transformer-based CoVaR - éèAIã®æ°å°å¹³
è«æ: âTransformer-based CoVaR: Systemic Risk in Textual Informationâ
arXiv: 2602.12490 | ð è«æPDF
åé: Natural Language Processing, Financial AI
ãªãéèAIãªã®ã
ç§ãã¡ãšã³ãžãã¢ã«ãšã£ãŠãéèåéã¯æå€ãšèº«è¿ã§ããæ ªäŸ¡äºæž¬ããªã¹ã¯ç®¡çãã¢ã«ãŽãªãºã ãã¬ãŒãã£ã³ã°âŠããããã¹ãŠã«AIãæ·±ãé¢ãã£ãŠããŸãã
ãã®è«æãææ¡ããã®ã¯ããã¥ãŒã¹èšäºãçŽæ¥Transformerã«é£ãããŠéèã·ã¹ãããã¯ãªã¹ã¯ãäºæž¬ããææ³ãåŸæ¥ã®ææ åæã¹ã³ã¢ã䜿ã鿥çãªæ¹æ³ã§ã¯ãªããçã®ããã¹ãæ å ±ããçŽæ¥ãªã¹ã¯ãæšå®ããŸãã
CoVaRãšã¯äœã
CoVaRïŒConditional Value-at-RiskïŒã¯ãæ¡ä»¶ä»ããªã¹ã¯å°ºåºŠããç°¡åã«èšãã°ïŒ
ãAéè¡ã屿©çç¶æ³ã«ããæãBéè¡ã¯ã©ã®çšåºŠã®æå€±ãªã¹ã¯ãæ±ãããïŒã
ãããæ°åŒã§è¡šããšïŒ
CoVaR^{B|A}_α = VaR^B_α(X^B | X^A = VaR^A_α(X^A))
Transformerãšã®èåã¢ãããŒã
class TransformerCoVaR(nn.Module):
def __init__(self, text_encoder, market_dim):
super().__init__()
self.text_encoder = text_encoder # äºååŠç¿æžã¿LLM
self.market_encoder = nn.Linear(market_dim, 768)
self.fusion_layer = nn.TransformerEncoder(...)
self.covar_head = nn.Linear(768, 1)
def forward(self, market_data, news_texts):
# ããã¹ãç¹åŸŽéã®æœåº
text_features = self.text_encoder(news_texts) # [B, seq_len, 768]
# åžå ŽããŒã¿ã®ç¹åŸŽé
market_features = self.market_encoder(market_data) # [B, 768]
# æç³»åã§ã®èå
combined = torch.cat([
text_features,
market_features.unsqueeze(1)
], dim=1)
# Transformerã§æç³»åãã¿ãŒã³ãåŠç¿
fused_features = self.fusion_layer(combined)
# CoVaRæšå®
covar_estimate = self.covar_head(fused_features.mean(dim=1))
return covar_estimate
å®è£ ã®é å
- çŸå®ç䟡å€: éèãªã¹ã¯ç®¡çã®å®çšå
- æè¡çææŠ: ããã¹ããšæç³»åããŒã¿ã®èå
- 瀟äŒçæçŸ©: éèã·ã¹ãã ã®å®å®åãžã®è²¢ç®
ð éžå®è«æ4: Lang2Act - èŠèŠæšè«ã®èªå·±åµçº
è«æ: âLang2Act: Fine-Grained Visual Reasoning through Self-Emergent Linguistic Toolchainsâ
arXiv: 2602.13235 | ð è«æPDF
åé: Artificial Intelligence, Computer Vision
æãå¿èºãçºèŠ
ãã®è«æã¯ä»åã®4æ¬ã®äžã§æãè奮ããäœåã§ãããªããªãAIãèªåã§éå ·ãäœãããã§ãã
åŸæ¥ã®Vision-Language Models (VLMs) ã¯ãå€éšã®åºå®ãããããŒã«ïŒç»ååãåºããç©äœæ€åºãªã©ïŒã«äŸåããŠããŸããããããLang2Actã¯ãå¿ èŠãªããŒã«ãèšèªçã«èªå·±åµçºãããŸãã
èªå·±åµçºçããŒã«ãã§ãŒã³ãšã¯
# åŸæ¥ã®ã¢ãããŒãïŒåºå®ããŒã«ïŒ
def traditional_vrag(query, image):
# äºåå®çŸ©ãããããŒã«ã䜿çš
objects = object_detector(image)
crops = crop_tool(image, objects)
answer = reasoning_model(query, crops)
return answer
# Lang2Actã®ã¢ãããŒãïŒèªå·±åµçºïŒ
def lang2act(query, image):
# Step 1: èªå·±æ¢çŽ¢ã§ã¢ã¯ã·ã§ã³ãçºèŠ
actions = self_explore_actions(image, query)
# ["crop_upper_left", "focus_on_person", "analyze_background"]
# Step 2: èšèªçããŒã«ãã§ãŒã³ãšããŠæŽ»çš
for action in actions:
image = execute_linguistic_action(image, action)
# Step 3: æšè«å®è¡
answer = final_reasoning(query, image)
return answer
匷ååŠç¿ã«ããäºæ®µéèšç·Ž
class Lang2ActTrainer:
def stage1_exploration(self, vlm, dataset):
"""Stage 1: é«å質ã¢ã¯ã·ã§ã³ã®èªå·±æ¢çŽ¢"""
for batch in dataset:
# è€æ°ã®ã¢ã¯ã·ã§ã³åè£ãçæ
action_candidates = vlm.generate_actions(
batch.images,
num_candidates=10
)
# åã¢ã¯ã·ã§ã³ã®å質ãè©äŸ¡
rewards = self.evaluate_action_quality(
action_candidates, batch.ground_truth
)
# é«å質ã¢ã¯ã·ã§ã³ãèšèªçããŒã«ããã¯ã¹ã«è¿œå
high_quality_actions = self.select_top_actions(
action_candidates, rewards, top_k=3
)
self.linguistic_toolbox.extend(high_quality_actions)
def stage2_exploitation(self, vlm, toolbox):
"""Stage 2: ããŒã«ããã¯ã¹ã®å¹æç掻çšãåŠç¿"""
for batch in dataset:
# ããŒã«ããã¯ã¹ããæé©ãªã¢ã¯ã·ã§ã³éžæ
selected_actions = vlm.select_actions_from_toolbox(
batch.images, self.linguistic_toolbox
)
# ã¢ã¯ã·ã§ã³å®è¡ãšæšè«
processed_images = self.execute_action_chain(
batch.images, selected_actions
)
predictions = vlm.reason(batch.queries, processed_images)
# 匷ååŠç¿ã«ããæé©å
rewards = self.compute_task_rewards(
predictions, batch.ground_truth
)
self.update_policy(vlm, rewards)
ãªããããé©åœçãªã®ã
- åµçºæ§: AIãç¬èªã®ããŒã«ãçºæãã
- é©å¿æ§: ã¿ã¹ã¯ã«å¿ããŠæé©ãªããŒã«ãã§ãŒã³ãæ§ç¯
- å¹çæ§: äžèŠãªæ å ±æå€±ãåé¿
ð§ æè¡çé¢é£æ§ã®èå¯
ããã4ã€ã®æè¡ã«ã¯è峿·±ãå ±éç¹ãšçžè£æ§ããããŸããã©ã®ãããªæè¡çãªã€ãªãããããã®ããèå¯ããŠã¿ãŸãããã
å ±éããæè¡çããŒã
é©å¿æ§ã®è¿œæ±
- AdaGrad-Diffã®é©å¿çåŠç¿ç調æŽ
- Lang2Actã®ç¶æ³ã«å¿ããèªå·±é©å¿ããŒã«çæ
- ã©ã¡ããåºå®ãããã«ãŒã«ã§ã¯ãªããç¶æ³ã«å¿ããŠæé©å
å¹çæ§ã®éèŠ
- DragDiffusionã®èšç®å¹çåïŒLoRA fine-tuningïŒ
- CoVaRã®çŽæ¥çããã¹ãåŠçïŒäžéã¹ã³ã¢åé¿ïŒ
- æ¢åææ³ã®èª²é¡ãå¹ççã«è§£æ±ºããã¢ãããŒã
å®çšæ§ãžã®é æ ®
- åææ³ãšãçè«ã ãã§ãªãçŸå®åé¡ãžã®å¿çšãéèŠ
- åçŸå¯èœæ§ïŒDragDiffusionïŒãéèå®åïŒCoVaRïŒãžã®é æ ®
驿°æ§ã®æ¹åæ§
- æ¢åã®åªããææ³ã«æ°ããèŠç¹ãå ããæ¹è¯ã¢ãããŒã
- å®å šã«æ°ããææ³ããããå®çžŸã®ããææ³ã®æŽç·Žå
ð æè¡çæ·±æããã€ã³ã
åè«æã§ç¹ã«æ³šç®ãã¹ãæè¡çãªãã€ã³ããæŽçããŸãïŒ
AdaGrad-Diff
- åŸé å·®åãšããæ°ããèŠç¹ã®æè¡çæçŸ©: åŸæ¥ã®çޝç©äºä¹åŸé ã§ã¯ãªããåŸé ã®å€åéã«æ³šç®ããããšã§é©å¿æ§ãåäž
- æ¢åæé©åææ³ãšã®çè«çãªéã: åŸé ãå®å®ããŠããéã®é床ãªåŠç¿çäœäžãåé¿
DragDiffusionåçŸç ç©¶
- åçŸæ§ç ç©¶ãæããã«ããå®è£ äžã®éèŠãªçºèŠ: timestepéžæãšmask regularizationã®éèŠæ§
- åè«æã§ã¯æç€ºãããŠããªãå®è£ ã®ã³ã: LoRA fine-tuningã«ããèšç®å¹çå
Transformer-CoVaR
- ããã¹ããšæç³»åããŒã¿èåã®æè¡çãã£ã¬ã³ãž: ãã«ãã¢ãŒãã«æ å ±ã®å¹æçãªçµ±åææ³
- éèAI以å€ãžã®å¿çšå¯èœæ§: ãªã¹ã¯äºæž¬ã®æ±çšåå¯èœæ§
Lang2Act
- èªå·±åµçºã¡ã«ããºã ã®çè«çåºç€: 匷ååŠç¿ã«ããèšèªçããŒã«ç²åŸã®ä»çµã¿
- äºæ®µéèšç·Žã®å·¥å€«: ExplorationïŒæ¢çŽ¢ïŒãšExploitationïŒæŽ»çšïŒã®å·§åŠãªåé¢
ð¯ ãªããããã®è«æãªã®ã
éžå®çç±ãæ¹ããŠæŽçããŸãïŒ
- å®è£ å¯èœæ§: ã³ãŒãã«èœãšã蟌ããå ·äœæ§
- åŠç¿äŸ¡å€: æ°ããæè¡çæŽå¯ãåŸããã
- å®çšæ§: çŸå®ã®åé¡è§£æ±ºã«å¿çšã§ãã
- æåèŠçŽ : ãããã¯é¢çœãïŒããšæããé©ã
ð€ ä»åŸã®ç 究泚ç®ãã€ã³ã
ãããã®è«æã瀺ãç ç©¶ååãããä»åŸæ³šç®ãã¹ãæè¡é åãèå¯ããŸãã
AIç ç©¶ã®æ°ããæ¹åæ§ãšããŠã以äžã®ç¹ã«æ³šç®ããŠããŸãïŒ
æ¢åææ³ã®é©æ°çæ¹è¯ïŒAdaGrad-Diffã®ã¢ãããŒãïŒ
- å€å žçææ³ã«æ°ããèŠç¹ãå ããããšã§æ§èœåäžãå³ãç ç©¶ãã¬ã³ã
åçŸæ§ã®éèŠïŒDragDiffusionåçŸç ç©¶ïŒ
- è¯ãããªæ°ææ³ãããæ¢åææ³ã®ç¢ºå®æ§ãé«ããè²¢ç®ã®äŸ¡å€
ãã«ãã¢ãŒãã«çµ±åïŒCoVaRã®ææ³ïŒ
- ç°ãªãçš®é¡ã®ããŒã¿ã广çã«çµã¿åãããæè¡ã®çºå±
èªå·±åµçºçã·ã¹ãã ïŒLang2Actã®ã¡ã«ããºã ïŒ
- AIãèªåã§éå ·ãäœãåºãåµçºçèœåã®æ¢ç©¶
ð¬ åŠãã ããšã»æããããš
ä»åã®è«æèª¿æ»ãéããŠãAIç ç©¶ã®æåç·ã§èµ·ããŠãã3ã€ã®å€§ããªæµããæããŸããïŒ
1. å€å žãžã®ååž°ãšé©æ°
AdaGrad-Diffã®ããã«ãæ¢åã®å€å žçææ³ã«æ°ããèŠç¹ãå ããç ç©¶ããå®å šã«æ°ããäœãããããæ¢åã®åªãããã®ãããã«è¯ããããã¢ãããŒãã®äŸ¡å€ã
2. åçŸæ§ã®éèŠæ§
DragDiffusionåçŸç ç©¶ã®ããã«ãå°éã ãç§åŠçã«æ¥µããŠéèŠãªæ€èšŒäœæ¥ãè¯ãããªæ°ææ³ãããæ¢åææ³ã®ç¢ºå®æ§ãé«ããè²¢ç®ã
3. åµçºãšèªåŸæ§
Lang2Actã®ããã«ãAIã·ã¹ãã ãèªåã§éå ·ãäœãåºãèœåãæ±ºããããã«ãŒã«ã«åŸãã®ã§ã¯ãªããç¶æ³ã«å¿ããŠæ°ããã«ãŒã«ãçºèŠããç¥æ§ã
ð¬ ãšãããŒã°ïŒAIç ç©¶ã®é å
è«æãèªãã®ã¯ãæªæ¥ãå£éèŠãè¡çºã§ãã仿¥arXivã«æçš¿ãããè«æãã5幎åŸã®äžçãå€ããŠãããããããŸããã
è«æãèªãééå³ã¯ãæ°ããã¢ã€ãã¢ãšã®åºäŒãã§ããçè§£ãæ·±ããããšã§ããã®æè¡ç䟡å€ãèŠããŠãããçè«çèæ¯ãåŠã³ãææ³ã®å·¥å€«ãåæããå¿çšå¯èœæ§ãèå¯ããªãããAIç ç©¶ã®é¢çœããæããŠããã
ããããããæè¡æ¢æ±ã®ééå³ãªã®ã§ãã
ä»åŸã: åŒãç¶ãarXivã®è峿·±ãè«æãçºèŠããŠãããããæè¡åæããå±ãããããšæããŸããAIç ç©¶ã®é¢çœããå ±æã§ããã°å¬ããã§ãã
çããããæ°ã«ãªã£ãè«æããã£ãã詳ãã調ã¹ãŠã¿ãŠãã ããããããŠããã®çºèŠããã²å ±æããŸãããã
Happy Coding! ðŸ
ð åèæç®
éžå®ãã4è«æ
- AdaGrad-Diff: Adaptive Gradient Algorithm ð PDF | arXiv
- DragDiffusionåçŸ: Interactive Point-Based Editing ð PDF | arXiv
- Transformer-CoVaR: Financial Risk Analysis ð PDF | arXiv
- Lang2Act: Self-Emergent Visual Reasoning ð PDF | arXiv
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